Click Start Test above to launch a full ParaPathways practice test built like the real thing — a Reading and Writing section and a Mathematics section, each weighted by ETS’s own question counts — or drill one content category at a time. Every question has a full explanation of why the right answer is right and why each wrong one is wrong.
The ParaPathways Assessment (ETS test 5757) measures the reading, writing, and mathematics skills a paraeducator needs to help students build foundational skills, and the ability to apply them in a classroom under a teacher’s direction.[1][3] These free ParaPathways practice questions were written to ETS’s published content categories for both subtests[2] — pair them with our free ParaPathways study guide and flashcards.
ParaPathways at a Glance
| Detail | ParaPathways Assessment (5757) |
|---|---|
| Subtests | Two, separately timed and separately scored: 5758 Reading and Writing, 5759 Mathematics |
| Questions | 5758: 51 (Reading ≈30, Writing ≈21) · 5759: 36 (Numbers and Operations ≈18, Geometry, Measurement, & Data Analysis ≈18) — 87 in all; 6 per subtest are unscored pretest items |
| Time | 5758: 85 minutes · 5759: 60 minutes (145 minutes if you take both) |
| Calculator | On-screen four-function calculator on Mathematics; personal calculators not allowed |
| Scores | Each subtest on a 310–350 scale; ETS sets no passing score — your state or district sets one per subtest |
| Cost (2026–27) | $75 at home · $59 at a test center (one subtest $37.50 / $29.50); reschedule = 50% of the fee |
| Retakes | Once right away; then 21 days after your most recent attempt for two more (the pattern repeats) |
| Delivery | Computer-delivered, in English, at home or at Prometric and participating test centers, districts, and agencies |
| Not the same test as | The ParaPro (1755): one 90-question, 150-minute test, 420–480 score, no calculator. Your state decides which it accepts |
What Is on the ParaPathways Test?
ETS’s Study Companion divides ParaPathways into four content categories across the two subtests and prints an approximate question count for each.[2][5] Reading is the largest single block, so it decides most of the Reading and Writing score; the two math categories are weighted evenly. Our full practice test uses the same counts:

Practice Questions by Category
Use Start Test for a full simulation, or open the hub and drill a single category. The bank follows all 41 of ETS’s published content topics — from main idea, inference, phonemes, and reading fluency to credible sources, citation, percents, unit conversion, the coordinate plane, and mean, median, mode, and range.[2] Many questions put you in the paraeducator’s seat: a student makes an error, and you choose the prompt that helps the student find and fix it.
The On-Screen Calculator
ETS provides an on-screen four-function calculator on ParaPathways Mathematics.[3] It adds, subtracts, multiplies, and divides — nothing more. Order of operations, fraction and exponent rules, unit conversions, and setting up a word problem are still on you, so practice those by hand. Numeric-entry questions give you no answer choices to check against, so estimate the size and sign of your answer before you type it.[2]
Who Takes ParaPathways?
ParaPathways is for people preparing to become paraeducators or already working as one. Under the federal Every Student Succeeds Act, a paraprofessional in an instructional role must have an associate degree, two years of college, or pass a state or local academic assessment of reading, writing, and math — and each state or district chooses which test satisfies that third route.[3] That is why you must check whether your state accepts ParaPathways, the ParaPro, or both before you register.[4]
ParaPathways Registration and Fees
You register through ETS at parapro.ets.org for at-home testing or a community-based test center; participating school districts and agencies register their own candidates.[3] For the 2026–27 testing year the fee is $75 at home or $59 at a test center for both subtests, or $37.50 / $29.50 for one subtest. Some test centers add a proctoring fee, and changing an appointment costs 50% of the test fee.[3]
What Is the Passing Score for ParaPathways?
ETS does not set a passing score.[3] Each subtest is reported on its own 310–350 scale, and your state or district sets a qualifying score for each subtest — a strong math score cannot make up for a low Reading and Writing score.[5] On ETS’s state page the cuts run 322–332 on 5758 and 325–334 on 5759; ETS’s multi-state panel recommended 332 and 334 (28 of 45 and 20 of 30 scored questions), and most listed states use that pair.[4][5]
ParaPathways Retake Policy
You can retake ParaPathways once as soon as you like. If you need more than one retake, wait 21 days after your most recent attempt; you can then test two more times, and the 21-day wait repeats after every two attempts. If you took the composite test (5757), you cannot retake a single subtest more than once until the 21 days have passed.[3]
What to Expect on Test Day
Bring valid, government-issued photo ID that matches your registration. At home, begin check-in 15 minutes before your appointment — arriving 12 minutes late means you cannot test and forfeit the fee — and use an erasable whiteboard or transparency sheet for notes; test centers provide scratch paper.[3] Phones, watches, and personal calculators are prohibited. If you test at a participating district you can view and print an unofficial score at the end; at home you can view it but not print it. Official scores reach your ETS account and one score recipient about one week after the test.[3]
How to Use This ParaPathways Practice Test
- Time each subtest on its own. 85 minutes for 51 Reading and Writing questions and 60 minutes for 36 math questions is about 100 seconds a question in both.
- Give Reading the most reps. At about 30 questions it is the biggest category, and it now includes phonics, phonemes, and fluency.
- Practice math by hand, then with a basic calculator. The on-screen tool only does four operations.
- Read every explanation. The distractors are built from the mistakes students actually make.
- Aim above your state’s cut on each subtest. Both must clear the bar.
Conclusion
ParaPathways rewards solid reading, writing, and math fundamentals and the judgment to help a student without doing the work for them. Confirm that your state accepts ParaPathways, use this free practice test to find your weakest category, and close the gap with our study guide and flashcards.
ParaPathways Practice Test FAQ
ParaPathways (ETS 5757) is two separately timed subtests: Reading and Writing (5758) has 51 selected-response questions in 85 minutes, and Mathematics (5759) has 36 selected-response and numeric-entry questions in 60 minutes — 87 questions and 145 minutes in all. Six questions in each subtest are unscored pretest items, and you are not told which ones.
ETS does not set one. Each subtest is scored on a 310–350 scale, and your state or district sets a qualifying score for each subtest — you must meet both. On ETS's state-requirements page the published cuts run from 322 to 332 on Reading and Writing (5758) and from 325 to 334 on Mathematics (5759); the most common pair is 332 and 334, which is what ETS's multi-state standard-setting panel recommended.
No. ParaPathways is not the ParaPro's replacement. ETS sells both tests in the 2026–27 testing year and tells candidates to determine which one their state uses before scheduling. Of the 45 jurisdictions on ETS's state-requirements page, 20 accept only ParaPathways, 7 accept either test, and 18 accept only the ParaPro. Check your state before you register.
Yes, on the Mathematics subtest (5759) ETS provides an on-screen four-function calculator. Personal calculators are not allowed. A four-function calculator adds, subtracts, multiplies, and divides — you still need order of operations, fraction rules, and exponents, and you still have to set up each word problem correctly.
For the 2026–27 testing year ETS charges $75 for both subtests at home or $59 at a test center. A single subtest costs $37.50 at home or $29.50 at a test center. Some test centers add a proctoring fee, and rescheduling costs 50% of the test fee.
You can retake the test once as soon as you like. If you need more than one retake, you must wait 21 days after your most recent attempt, and then you can take it two more times; the 21-day wait repeats after every two attempts. If you took the composite test (5757), you cannot retake a single subtest more than once until the 21-day period has passed.
Mostly selected-response (multiple-choice) questions, plus other formats the ETS Study Companion describes, such as selecting more than one answer, selecting part of a graphic or sentences in a passage, drag-and-drop, drop-down menus, and numeric entry on Mathematics. This practice test uses single-answer multiple choice, and represents numeric-entry math as four numeric choices.
Study to the four ETS content categories in proportion: Reading (about 30 questions), Writing (about 21), Numbers and Operations (about 18), and Geometry, Measurement, and Data Analysis (about 18). Take each subtest timed on its own — about 100 seconds per question in both — then drill your weakest category with our study guide and flashcards. Practice the classroom-support questions too, where the best answer guides the student rather than doing the work.
ParaPathways question bank
All 450 questions, by domain
A reference copy of every question in this practice test. Each answer stays hidden until you choose to show it. To practice with scoring, timing and your readiness score, use Start Test at the top of the page.
Reading (155)
Read the passage: "When Lincoln Elementary opened a school garden, teachers expected students to learn about plants. They did not expect the garden to change the lunchroom. Students who had grown lettuce and carrots began choosing salads at lunch, and cafeteria staff reported that vegetable waste fell by nearly a third during the first year." Which statement best expresses the main idea of the passage?
- A.Teachers planned the garden mainly to improve student lunches.
- B.The garden had an unexpected effect on what students chose to eat.
- C.Cafeteria staff kept careful records of vegetable waste each year.
- D.The garden taught students how lettuce and carrots are grown.
Show answerHide answer
Correct answer: The garden had an unexpected effect on what students chose to eat.
Correct answer: The garden had an unexpected effect on what students chose to eat. The passage turns on a contrast: teachers expected a science lesson, but the garden changed the lunchroom. The statement that the garden had an unexpected effect on what students chose to eat covers the whole passage. Learning how lettuce and carrots grow is the expected outcome the passage sets aside, the waste records are a single supporting detail, and the claim that teachers planned the garden for lunches contradicts the text, which says they did not expect that change.
Read the passage: "When Lincoln Elementary opened a school garden, teachers expected students to learn about plants. They did not expect the garden to change the lunchroom. Students who had grown lettuce and carrots began choosing salads at lunch, and cafeteria staff reported that vegetable waste fell by nearly a third during the first year." Which detail best supports the idea that the garden changed students' eating habits?
- A.Lincoln Elementary opened the garden on school grounds.
- B.Teachers expected students to learn about how plants grow.
- C.Vegetable waste in the cafeteria fell by nearly a third.
- D.Students in the garden grew both the lettuce and the carrots.
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Correct answer: Vegetable waste in the cafeteria fell by nearly a third.
Correct answer: Vegetable waste in the cafeteria fell by nearly a third. A drop of nearly a third in vegetable waste is measurable evidence that students were eating the vegetables they took, so it directly supports a change in habits. The teachers' expectation and the garden's location are background, and the fact that students grew lettuce and carrots describes the garden, not what happened at lunch.
Read the passage: "Many town libraries now lend far more than books. Patrons can borrow telescopes, sewing machines, and even cake pans. Librarians say these collections draw in people who had not visited in years, and many of those visitors leave with a book as well." What is the primary purpose of the passage?
- A.To explain how librarians choose which books to add to a collection
- B.To describe how lending unusual items brings people back to libraries
- C.To persuade readers to donate sewing machines to their local library
- D.To compare the costs of borrowing telescopes and buying them outright
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Correct answer: To describe how lending unusual items brings people back to libraries
Correct answer: To describe how lending unusual items brings people back to libraries. The passage reports what libraries now lend and the effect: people who had stopped visiting come back and often borrow a book too. That is describing how lending unusual items brings people back. Nothing asks readers to donate, nothing explains how books are chosen, and no costs are compared.
Read the passage: "Many town libraries now lend far more than books. Patrons can borrow telescopes, sewing machines, and even cake pans. Librarians say these collections draw in people who had not visited in years, and many of those visitors leave with a book as well." Which sentence would best summarize the passage?
- A.Libraries lending tools and equipment are drawing former patrons back.
- B.Telescopes are now the most popular item borrowed from town libraries.
- C.Libraries have stopped lending books and now lend tools and equipment instead.
- D.Librarians prefer lending cake pans and sewing machines over lending books.
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Correct answer: Libraries lending tools and equipment are drawing former patrons back.
Correct answer: Libraries lending tools and equipment are drawing former patrons back. A good summary keeps the main point and drops minor details: libraries lending non-book items are bringing back people who had not visited. The passage never says libraries stopped lending books, never states a librarian preference, and never ranks telescopes as most popular.
Read the passage: "Honeybees communicate the location of food through a movement called the waggle dance. A forager returns to the hive and moves in a figure-eight pattern. The angle of the straight run shows the direction of the flowers, and the length of the run shows how far away they are." The passage is mainly about
- A.how honeybees use a dance to share where food is found.
- B.how honeybees build figure-eight patterns inside the hive.
- C.which flowers honeybees prefer when they gather nectar.
- D.why forager bees travel long distances to reach flowers.
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Correct answer: how honeybees use a dance to share where food is found.
Correct answer: how honeybees use a dance to share where food is found. Every sentence explains the waggle dance as a way to communicate the location of food, including direction and distance. The figure-eight is a movement, not something the bees build; the passage does not explain why bees travel far or which flowers they prefer.
Read the passage: "Honeybees communicate the location of food through a movement called the waggle dance. A forager returns to the hive and moves in a figure-eight pattern. The angle of the straight run shows the direction of the flowers, and the length of the run shows how far away they are." According to the passage, what does the length of the straight run tell other bees?
- A.How many bees should go foraging
- B.How far away the flowers are
- C.How much nectar the flowers hold
- D.Which direction the flowers lie
Show answerHide answer
Correct answer: How far away the flowers are
Correct answer: How far away the flowers are. The final sentence assigns two meanings: the angle of the straight run gives the direction and the length of the run gives the distance. Direction is carried by the angle, not the length, and the passage says nothing about the amount of nectar or the number of bees to send.
Read the passage: "For years, Route 9 buses ran every forty minutes, and riders complained that the schedule made the bus useless for getting to work. Last spring the city added four buses to the route. Waits dropped to fifteen minutes, and ridership rose by 60 percent in six months." Which statement best expresses the central idea of the passage?
- A.Most riders use Route 9 only to travel to and from work.
- B.Riders on Route 9 complained about the buses for many years.
- C.Running buses more often made Route 9 more useful to riders.
- D.The city bought four new buses for Route 9 last spring.
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Correct answer: Running buses more often made Route 9 more useful to riders.
Correct answer: Running buses more often made Route 9 more useful to riders. The passage moves from a problem (forty-minute waits) to a solution (four more buses) to a result (fifteen-minute waits and 60 percent more riders), so the central idea is that more frequent service made the route more useful. The complaints and the four new buses are single details, and the passage never says most riders use the route only for work.
Read the passage: "For years, Route 9 buses ran every forty minutes, and riders complained that the schedule made the bus useless for getting to work. Last spring the city added four buses to the route. Waits dropped to fifteen minutes, and ridership rose by 60 percent in six months." Which detail provides the strongest evidence that the change worked?
- A.Ridership rose 60 percent within six months.
- B.The city added four more buses to the route.
- C.Buses had run every forty minutes for years.
- D.Riders said the old timetable was useless.
Show answerHide answer
Correct answer: Ridership rose 60 percent within six months.
Correct answer: Ridership rose 60 percent within six months. Evidence that a change worked has to be an outcome measured after the change; a 60 percent rise in ridership is exactly that. Adding buses is the change itself, the forty-minute schedule is the old situation, and the riders' complaint describes the problem before the fix.
Read the paragraph: "Sea otters eat large numbers of sea urchins. Where otters disappear, urchins multiply and devour the kelp forests that shelter hundreds of fish species. When otters return, the kelp grows back." Which sentence states the main idea the details support?
- A.Sea otters spend most of their time hunting for sea urchins.
- B.Sea urchins multiply quickly wherever sea otters disappear.
- C.Sea otters protect kelp by keeping urchin numbers down.
- D.Kelp forests shelter hundreds of different species of fish.
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Correct answer: Sea otters protect kelp by keeping urchin numbers down.
Correct answer: Sea otters protect kelp by keeping urchin numbers down. The details build a chain: otters eat urchins, fewer otters means more urchins, more urchins destroy kelp, and returning otters let kelp regrow. The statement that otters protect kelp by keeping urchin numbers down ties the chain together. The fish shelter and the urchin increase are links in the chain, and how much time otters spend hunting is never stated.
A student is asked to identify the main idea of an article. Which strategy is most reliable?
- A.Choose the most interesting fact that appears in the article.
- B.Copy the first sentence of the article as the main idea.
- C.Count which word appears most often in the whole article.
- D.State in one sentence what all the paragraphs have in common.
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Correct answer: State in one sentence what all the paragraphs have in common.
Correct answer: State in one sentence what all the paragraphs have in common. The main idea is the point that every part of the text develops, so checking what all the paragraphs share is the reliable test. The most interesting fact is often just a detail, the first sentence is not always the topic sentence, and a frequent word identifies a topic at best, not the point being made about it.
Which of the following is the best definition of a supporting detail?
- A.A fact, example, or reason that develops the main idea
- B.An opinion that the author disagrees with in the text
- C.A sentence that restates the main idea in fewer words
- D.A question the author asks the reader in the opening
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Correct answer: A fact, example, or reason that develops the main idea
Correct answer: A fact, example, or reason that develops the main idea. Supporting details are the facts, examples, statistics, and reasons that explain or prove the main idea. A shorter restatement of the main idea is a summary, an opinion the author rejects is a counterclaim, and an opening question is a hook; none of those is the definition of a supporting detail.
Read the passage: "The Wright brothers did not invent flight in a single day. They studied birds, built gliders, tested more than 200 wing shapes in a homemade wind tunnel, and failed many times before their 1903 flight." What is the author's primary purpose?
- A.To entertain readers with a story about a famous accident
- B.To argue that the Wright brothers copied earlier inventors
- C.To show that the first flight came from long, careful work
- D.To explain in detail how a homemade wind tunnel operates
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Correct answer: To show that the first flight came from long, careful work
Correct answer: To show that the first flight came from long, careful work. The opening sentence states the point, and the list of studies, gliders, 200 wing shapes, and failures shows the long, careful work behind the flight. Nothing accuses the brothers of copying, the wind tunnel is mentioned but never explained, and no accident is described.
Read the passage: "Maria arrived at the shelter every Saturday at seven. She walked the dogs, washed the bowls, and stayed late when new animals arrived. After three years, the director asked her to train other volunteers." Which title best fits the passage?
- A.Why Shelters Need More Saturday Volunteers
- B.How to Care for Dogs at an Animal Shelter
- C.A Loyal Volunteer Who Earned a New Role
- D.The Director Who Changed the Local Shelter
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Correct answer: A Loyal Volunteer Who Earned a New Role
Correct answer: A Loyal Volunteer Who Earned a New Role. A good title captures the whole passage: Maria's steady work over three years leads to her being asked to train others. A how-to title fits only the chores, a title about needing volunteers argues a point the passage never makes, and the director appears only in the last sentence.
Read the passage: "Before refrigerators, families stored food in iceboxes cooled by blocks of ice cut from frozen lakes. Ice was harvested in winter, packed in sawdust, and delivered to homes by wagon all summer." Which detail explains how the ice lasted into summer?
- A.It was delivered to homes by wagon each summer.
- B.It was packed in sawdust once it was harvested.
- C.It was cut from lakes that froze during winter.
- D.It was placed in iceboxes inside family homes.
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Correct answer: It was packed in sawdust once it was harvested.
Correct answer: It was packed in sawdust once it was harvested. Sawdust packing is the only detail that explains preservation; it insulated the ice so it did not melt before summer. Cutting ice from frozen lakes explains where it came from, wagon delivery explains how it reached homes, and the icebox is where it was used.
A paragraph opens with a topic sentence, gives three examples, and ends with a sentence restating the point in new words. What is the function of the last sentence?
- A.It concludes by restating the paragraph's point.
- B.It presents evidence that contradicts the topic.
- C.It supplies a fourth example for the main point.
- D.It introduces a new idea for the next paragraph.
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Correct answer: It concludes by restating the paragraph's point.
Correct answer: It concludes by restating the paragraph's point. A closing sentence that restates the point in new words is a concluding sentence; it reinforces the main idea after the examples. It does not introduce a new idea, it cannot contradict the topic sentence it restates, and a restatement is not another example.
Which summary of a story about a boy who practices piano daily and finally plays at a recital is most effective?
- A.A boy who plays piano has a teacher, a dog, and a sister.
- B.A boy practices piano every day and succeeds at his recital.
- C.A boy practicing piano learns that it has eighty-eight keys.
- D.A boy feels nervous before his recital and wonders about it.
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Correct answer: A boy practices piano every day and succeeds at his recital.
Correct answer: A boy practices piano every day and succeeds at his recital. An effective summary covers the beginning, middle, and end of the main events: daily practice leading to success at the recital. Listing characters and objects misses the plot, the nervous feeling before the recital is one moment, and the number of keys is a trivial detail.
In the sentence "The new rules were meant to prevent disputes, but they only exacerbated the conflict," the word "exacerbated" most nearly means
- A.made it worse
- B.cleared up
- C.made public
- D.put on hold
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Correct answer: made it worse
Correct answer: made it worse. The contrast word "but" says the rules had the opposite of their purpose: they were meant to prevent disputes, so they must have made the conflict worse. Cleared up would match the purpose rather than oppose it, and putting the conflict on hold or making it public does not create the contrast the sentence sets up.
The prefix "mis-" in the word "misinterpret" means
- A.not yet
- B.again
- C.before
- D.wrongly
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Correct answer: wrongly
Correct answer: wrongly. "Mis-" means wrongly or badly, so to misinterpret is to interpret wrongly (compare misspell, misplace). "Again" is the meaning of re-, "before" is pre-, and "not yet" is not the meaning of any common prefix in this word.
The suffix "-less" in the word "fearless" changes the root word to mean
- A.full of fear
- B.one who fears
- C.having no fear
- D.able to fear
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Correct answer: having no fear
Correct answer: having no fear. The suffix -less means without, so fearless means without fear. "Full of" is the job of -ful (fearful), "able to" is -able, and "one who" is -er or -or.
The Latin root "port" appears in "transport," "portable," and "export." What does "port" mean?
- A.build
- B.look
- C.carry
- D.write
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Correct answer: carry
Correct answer: carry. Transport is to carry across, portable means able to be carried, and export is to carry out of a country, so port means carry. "Write" is the root scrib/script, "look" is spec/vis, and "build" is struct.
Read the sentence: "Unlike his gregarious sister, who chatted with everyone at the party, Sam spent the evening alone by the window." Which word is closest in meaning to "gregarious"?
- A.curious
- B.shy
- C.sociable
- D.impatient
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Correct answer: sociable
Correct answer: sociable. "Unlike" signals contrast with Sam, who stayed alone, and the sister is described as chatting with everyone, so gregarious means sociable. "Shy" describes Sam, the opposite of the sister. Curious and impatient are not supported by anything in the sentence.
A student reads "The hikers were famished after the long climb, so they ate every sandwich in the pack." Which context clue best helps the student figure out "famished"?
- A.The hikers had just taken a long climb.
- B.They ate every sandwich in the pack.
- C.They carried a pack along with them.
- D.The word comes right after "were."
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Correct answer: They ate every sandwich in the pack.
Correct answer: They ate every sandwich in the pack. Eating every sandwich shows extreme hunger, which defines famished. The long climb explains why they might be hungry but could just as easily suggest tiredness, the position after "were" tells only that the word describes the hikers, and carrying a pack gives no clue to meaning.
The word "bank" has several dictionary meanings. In "We sat on the bank and watched the canoes drift by," which meaning applies?
- A.a business that keeps money safe
- B.to tilt an airplane while turning
- C.a row of similar objects or keys
- D.the sloping ground beside a river
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Correct answer: the sloping ground beside a river
Correct answer: the sloping ground beside a river. Watching canoes drift by places the speakers beside water, so bank means the land along a river. The money business, a row of objects (a bank of switches), and the aviation verb are real meanings of the word that do not fit this sentence.
A student wants to confirm how a word is pronounced and which syllable is stressed. Which reference tool is most useful?
- A.a thesaurus entry listing words with similar meanings
- B.a glossary listing terms used in a single textbook
- C.a dictionary entry with its pronunciation key
- D.an index listing the pages where a topic appears
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Correct answer: a dictionary entry with its pronunciation key
Correct answer: a dictionary entry with its pronunciation key. A dictionary entry gives the pronunciation with syllable breaks and stress marks, explained by its pronunciation key. A thesaurus gives synonyms, not pronunciation; a textbook glossary usually gives short definitions; and an index only lists page numbers.
The prefix "pre-" in "preview" and "prehistoric" means
- A.after
- B.against
- C.before
- D.between
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Correct answer: before
Correct answer: before. Pre- means before: a preview is a view before the event, and prehistoric means before written history. After is post-, against is anti- or contra-, and between is inter-.
Read the sentence: "The committee's decision was tentative; members agreed to revisit it after more information arrived." "Tentative" most nearly means
- A.already public
- B.agreed by all
- C.reversed later
- D.still undecided
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Correct answer: still undecided
Correct answer: still undecided. The semicolon introduces the explanation: members planned to revisit the decision later, so it was not yet final. "Agreed by all" describes how many members voted for it, "already public" describes whether it was announced, and "reversed later" would mean the decision was undone rather than left open.
Which word contains a suffix that means "the study of"?
- A.biome
- B.biography
- C.biology
- D.biopsy
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Correct answer: biology
Correct answer: biology. The suffix -logy means the study of, so biology is the study of life. Biography contains -graphy (writing about), biopsy contains -opsy (viewing, examining tissue), and biome ends in a suffix that names a community, not a field of study.
In "The speaker's argument was so lucid that even the youngest students followed every step," the word "lucid" most nearly means
- A.loud
- B.brief
- C.clear
- D.funny
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Correct answer: clear
Correct answer: clear. Because even the youngest students could follow every step, the argument must have been easy to understand, which is what lucid (clear) means. Brief, loud, and funny could each make a talk memorable, but none of them explains why every step was easy to follow.
A student breaks the unfamiliar word "unbreakable" into parts. Which analysis is correct?
- A.un- (before) + break + -able (one who): a pre-breaker
- B.un- (again) + break + -able (can be): can be rebroken
- C.un- (not) + break + -able (can be): cannot be broken
- D.un- (not) + break + -able (full of): full of breaks
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Correct answer: un- (not) + break + -able (can be): cannot be broken
Correct answer: un- (not) + break + -able (can be): cannot be broken. Un- means not and -able means can be, so unbreakable means cannot be broken. Un- never means again (that is re-) or before (pre-), and -able does not mean full of (-ful) or one who (-er).
Read: "After the flood, the town's once-thriving market was desolate; not a single stall remained open." Which meaning of "desolate" fits the sentence?
- A.damaged but still busy
- B.newly rebuilt and open
- C.empty and deserted
- D.crowded and noisy
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Correct answer: empty and deserted
Correct answer: empty and deserted. The clue after the semicolon, that not a single stall remained open, defines desolate as empty and deserted. Crowded and noisy is the opposite, damaged but still busy conflicts with no stalls being open, and newly rebuilt and open is contradicted by the same clue.
An online dictionary lists three definitions for a word. How should a reader decide which definition fits a passage?
- A.Use the shortest definition, since it is always the simplest one.
- B.Use the last definition, since it is always the most recent.
- C.Use the first definition, since it is always the most common one.
- D.Test each definition in the sentence and keep the one that fits.
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Correct answer: Test each definition in the sentence and keep the one that fits.
Correct answer: Test each definition in the sentence and keep the one that fits. The meaning that applies is the one that makes sense in the sentence, so substituting each definition into the context is the reliable test. Dictionaries do not guarantee that the first, shortest, or last definition is the one a particular passage uses.
Reading fluency is best defined as the ability to read
- A.accurately, at a slow rate, and with finger tracking
- B.accurately, at an appropriate rate, and with expression
- C.silently, at the fastest possible rate, and without stopping
- D.aloud, at a steady volume, and with a single tone
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Correct answer: accurately, at an appropriate rate, and with expression
Correct answer: accurately, at an appropriate rate, and with expression. Fluency has three components: accuracy (reading the words correctly), rate (an appropriate, conversational speed), and expression or prosody (phrasing and intonation that match the meaning). Speed alone is not fluency, a deliberately slow rate is not the goal, and a single flat tone lacks expression.
A student reads a passage aloud with no errors but in a flat, word-by-word voice that ignores punctuation. Which fluency component most needs support?
- A.vocabulary
- B.decoding
- C.accuracy
- D.expression
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Correct answer: expression
Correct answer: expression. Reading with no errors shows accuracy is fine; the flat, word-by-word delivery that ignores punctuation is a problem of expression (phrasing and intonation). Decoding and vocabulary support accuracy and meaning, which the student is already managing.
A student reads with lively expression and a good pace but skips or substitutes several words in each paragraph. Which fluency component is weakest?
- A.rate
- B.phrasing
- C.expression
- D.accuracy
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Correct answer: accuracy
Correct answer: accuracy. Skipping and substituting words are accuracy errors. The student's pace is described as good (rate) and the reading is lively (expression, which includes phrasing), so those components are not the weakness.
Which activity most directly builds reading rate while keeping accuracy high?
- A.Silent reading of a long chapter book with no follow-up
- B.Copying a passage by hand into a notebook word for word
- C.Timed reading of a new passage well above the student's level
- D.Repeated reading of a short passage at the student's level
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Correct answer: Repeated reading of a short passage at the student's level
Correct answer: Repeated reading of a short passage at the student's level. Rereading the same short, instructional-level text several times lets a student read it faster while staying accurate, which is the core of repeated reading. Timing a too-hard passage lowers accuracy, silent reading with no follow-up gives no feedback on rate, and copying is a writing task.
Why does reading fluency matter for comprehension?
- A.Faster readers skip details that confuse comprehension.
- B.Words read automatically leave attention free for meaning.
- C.Oral reading replaces the need to ask about the meaning.
- D.Fluent readers no longer need to learn new vocabulary.
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Correct answer: Words read automatically leave attention free for meaning.
Correct answer: Words read automatically leave attention free for meaning. When decoding is automatic, a reader does not spend attention on sounding out words and can focus on meaning, which is why fluency supports comprehension. Skipping details, dropping meaning checks, or assuming vocabulary growth stops are all misconceptions.
During oral reading, a student pauses at commas, stops at periods, and raises her voice at question marks. This shows skill in
- A.reading rate measured in words per minute
- B.prosody, the expressive part of fluency
- C.phonemic awareness of individual sounds
- D.word recognition of irregular sight words
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Correct answer: prosody, the expressive part of fluency
Correct answer: prosody, the expressive part of fluency. Pausing at commas, stopping at periods, and changing pitch for questions are signs of prosody, the phrasing and intonation component of fluency. Phonemic awareness concerns sounds in spoken words, sight-word recognition is about accuracy, and words per minute measures rate, not phrasing.
A teacher measures words correct per minute for a student. Which two fluency components does this measure combine?
- A.accuracy and rate
- B.rate and expression
- C.phrasing and expression
- D.expression and accuracy
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Correct answer: accuracy and rate
Correct answer: accuracy and rate. Words correct per minute counts only correctly read words (accuracy) in a fixed time (rate). It does not capture expression or phrasing, which require listening to how the reading sounds.
A paraeducator notices a student reads very quickly but cannot retell what the passage said. What is the most appropriate next step?
- A.Have the student read the same passage faster the next time.
- B.Model reading at a conversational pace and check understanding.
- C.Praise the speed and assign longer passages to read faster.
- D.Switch the student to silent reading so no one hears errors.
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Correct answer: Model reading at a conversational pace and check understanding.
Correct answer: Model reading at a conversational pace and check understanding. Fluency is appropriate rate, not maximum speed; a student who cannot retell may be racing. Modeling a conversational pace and checking comprehension addresses the problem. Praising speed, pushing for more speed, or hiding the reading from feedback would reinforce the issue.
Which practice gives a student a model of fluent reading to imitate?
- A.Silent sustained reading, in which everyone reads alone for a time
- B.Word sorting, in which students group words by their shared spelling pattern
- C.Echo reading, in which the adult reads a line and the student repeats it
- D.Round-robin reading, in which students read unpracticed text in turn
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Correct answer: Echo reading, in which the adult reads a line and the student repeats it
Correct answer: Echo reading, in which the adult reads a line and the student repeats it. In echo reading the adult models accurate, well-phrased reading of a line and the student immediately imitates it. Round-robin reading has students read cold with no model, silent reading has no audible model, and word sorts build spelling patterns rather than modeling fluent reading.
Which student behavior indicates a problem with reading rate rather than accuracy?
- A.Reads smoothly but skips short words such as 'the' and 'of' often
- B.Reads every word correctly but very slowly, sounding out each one
- C.Reads quickly but replaces 'house' with 'home' and 'said' with 'says'
- D.Reads at a good pace but mispronounces multisyllabic science terms
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Correct answer: Reads every word correctly but very slowly, sounding out each one
Correct answer: Reads every word correctly but very slowly, sounding out each one. Correct but slow, laborious reading is a rate problem: the words are right but not automatic. Substituting words, skipping short words, and mispronouncing terms are all accuracy errors.
A student can decode a passage accurately but reads it in a monotone. Which support best targets this need?
- A.Counting the syllables in each word of the passage
- B.Drilling isolated sight words on flash cards every single morning
- C.Practicing letter-sound matches with magnetic letters
- D.Rereading dialogue aloud to match the characters' feelings
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Correct answer: Rereading dialogue aloud to match the characters' feelings
Correct answer: Rereading dialogue aloud to match the characters' feelings. A monotone is an expression problem, and rereading dialogue to match characters' feelings practices intonation and phrasing. Sight-word drills, letter-sound matching, and syllable counting all build word-level accuracy, which this student already has.
Read: "Jada checked the sky, frowned, and went back inside for her umbrella and boots." What can the reader infer?
- A.Jada does not enjoy walking in the park.
- B.Jada has misplaced her umbrella and boots.
- C.Jada has decided to stay inside all day.
- D.Jada expects that it will rain soon.
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Correct answer: Jada expects that it will rain soon.
Correct answer: Jada expects that it will rain soon. Checking the sky, frowning, and getting rain gear together imply that Jada thinks rain is coming. She goes back inside only to get gear, not to stay; she knew where her things were; and the passage says nothing about a park.
Read the passage: "When Lincoln Elementary opened a school garden, teachers expected students to learn about plants. They did not expect the garden to change the lunchroom. Students who had grown lettuce and carrots began choosing salads at lunch, and cafeteria staff reported that vegetable waste fell by nearly a third during the first year." What can reasonably be inferred from the passage?
- A.Students ate fewer vegetables after the garden was opened.
- B.Growing vegetables made students more willing to eat them.
- C.Teachers stopped using the garden for science lessons.
- D.Cafeteria staff grew the lettuce served in the school.
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Correct answer: Growing vegetables made students more willing to eat them.
Correct answer: Growing vegetables made students more willing to eat them. The passage connects growing lettuce and carrots to choosing salads, which implies that the experience of growing vegetables made students more willing to eat them. Falling vegetable waste suggests students ate more, not fewer; nothing says science lessons stopped; and the students, not the staff, grew the vegetables.
Read: "When the principal walked in, the noisy classroom fell silent, and every student suddenly seemed very interested in the math worksheet." What does the passage imply?
- A.The students were unhappy with their grades in math that term.
- B.The students were confused by the math worksheet they received.
- C.The principal had come in to teach the math lesson that day.
- D.The students had not been working before the principal entered.
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Correct answer: The students had not been working before the principal entered.
Correct answer: The students had not been working before the principal entered. A noisy room that falls silent, with students "suddenly" interested in the worksheet, implies they had not been working before. Nothing suggests confusion, the principal's purpose is not stated, and grades are never mentioned.
Read the passage: "Many town libraries now lend far more than books. Patrons can borrow telescopes, sewing machines, and even cake pans. Librarians say these collections draw in people who had not visited in years, and many of those visitors leave with a book as well." Which conclusion is best supported by the passage?
- A.Libraries will soon stop lending books to their patrons.
- B.Most patrons now visit libraries only to borrow cake pans.
- C.Librarians had expected the new collections to fail.
- D.Unusual lending collections can also boost book borrowing.
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Correct answer: Unusual lending collections can also boost book borrowing.
Correct answer: Unusual lending collections can also boost book borrowing. Because visitors drawn in by the new items often "leave with a book as well," the collections can raise book borrowing. Nothing predicts libraries will stop lending books, no claim says most patrons come only for cake pans, and the librarians' expectations are not described.
Read: "Grandpa squinted at the menu, patted his shirt pocket, and sighed. Then he handed the menu to Leo and said, 'You read it to me.'" What can the reader infer?
- A.Grandpa could not read the language on the menu.
- B.Grandpa wanted Leo to choose the meal for him.
- C.Grandpa left his reading glasses somewhere else.
- D.Grandpa thought the menu prices were too high.
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Correct answer: Grandpa left his reading glasses somewhere else.
Correct answer: Grandpa left his reading glasses somewhere else. Squinting, patting the pocket where glasses are often kept, and sighing all point to forgotten reading glasses. Nothing suggests a foreign language, he asks Leo to read the menu rather than to choose, and prices are never mentioned.
Which statement best describes an inference a reader makes from a text?
- A.A conclusion based on text evidence plus the reader's reasoning
- B.A fact the author states directly in the opening sentence
- C.A personal opinion that does not depend on the text at all
- D.A prediction that the reader cannot connect to any text details
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Correct answer: A conclusion based on text evidence plus the reader's reasoning
Correct answer: A conclusion based on text evidence plus the reader's reasoning. An inference combines clues in the text with reasoning to reach something the author does not state outright. A directly stated fact needs no inference, and an opinion or prediction with no connection to text details is not a supported inference.
Read the passage: "For years, Route 9 buses ran every forty minutes, and riders complained that the schedule made the bus useless for getting to work. Last spring the city added four buses to the route. Waits dropped to fifteen minutes, and ridership rose by 60 percent in six months." Based on the passage, which inference is most reasonable?
- A.Route 9 riders mostly travel on weekends and holidays.
- B.The city plans to remove buses from Route 9 next year.
- C.Long waits had kept many people from riding the bus.
- D.Ticket prices on Route 9 were lowered at the same time.
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Correct answer: Long waits had kept many people from riding the bus.
Correct answer: Long waits had kept many people from riding the bus. When waits dropped and ridership jumped 60 percent, the reasonable inference is that long waits had been keeping people away. Weekend travel, future cuts, and a fare change are not supported by anything in the passage, and a fare change would be an alternate explanation the text never offers.
Read: "The team's bus pulled into the school lot after midnight. The players stepped off still wearing their medals, and the few parents waiting clapped until their hands hurt." What can be inferred?
- A.The parents were angry the bus had arrived so late.
- B.The players had forgotten to change their uniforms.
- C.The team had lost an important game that evening.
- D.The team had won or placed well in the competition.
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Correct answer: The team had won or placed well in the competition.
Correct answer: The team had won or placed well in the competition. Players wearing medals and parents clapping enthusiastically imply a successful result. A loss does not fit the medals or the applause, the parents' reaction is celebration rather than anger, and nothing suggests the players forgot anything.
Read: "Although the recipe called for two cups of sugar, Ana used one and added extra cinnamon." Which inference is best supported?
- A.Ana did not know how to measure cups of sugar.
- B.Ana ran out of cinnamon while she was baking.
- C.Ana chose to make it less sweet than the recipe.
- D.Ana wanted the recipe to be sweeter than usual.
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Correct answer: Ana chose to make it less sweet than the recipe.
Correct answer: Ana chose to make it less sweet than the recipe. Using half the sugar is a deliberate change that makes the result less sweet; "although" signals she knowingly departed from the recipe. She added extra cinnamon, so she did not run out; nothing suggests she could not measure; and halving the sugar does not make a recipe sweeter.
A reader says, "The author never says the character is lonely, but she eats alone and waits by the phone every night." What is the reader doing?
- A.Inferring a feeling from the author's details
- B.Locating the definition of an unfamiliar word
- C.Summarizing events the author states directly
- D.Identifying the author's purpose for the text
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Correct answer: Inferring a feeling from the author's details
Correct answer: Inferring a feeling from the author's details. The reader draws a conclusion (loneliness) that is not stated, using details the author includes, which is making an inference. It is not a summary of stated events, it does not address why the author wrote the text, and no word is being defined.
Read: "The sign on the door read 'Back in 10 minutes.' An hour later, the customers were still waiting on the bench." What does the passage suggest?
- A.The shop owner was gone much longer than promised.
- B.The customers arrived long before the shop opened.
- C.The customers had nowhere else they could go.
- D.The sign on the door was written as a joke.
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Correct answer: The shop owner was gone much longer than promised.
Correct answer: The shop owner was gone much longer than promised. The sign promised ten minutes and the customers were still waiting an hour later, so the owner was gone far longer than promised. The sign concerns an absence, not an opening time; nothing suggests a joke; and the passage does not say why the customers stayed.
Read: "Every spring the river rose over its banks, and the farmers planted only after the water went down, leaving behind a layer of dark, rich mud." What can be inferred about the flooding?
- A.It ruined the fields the farmers used most.
- B.It happened only once in the farmers' lives.
- C.It made the farmland more fertile for crops.
- D.It forced the farmers to move to new land.
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Correct answer: It made the farmland more fertile for crops.
Correct answer: It made the farmland more fertile for crops. The flood left dark, rich mud, and farmers planted after it receded, implying the flooding enriched the soil. It is described as helping rather than ruining the fields, it happened every spring rather than once, and the farmers stayed rather than moving.
Which question is best for helping a student make an inference while reading?
- A.Which page number is the longest paragraph printed on?
- B.What is the exact date the story's events took place in history?
- C.How many characters' names begin with the very same letter?
- D.What clues in the text help you figure out what the author means?
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Correct answer: What clues in the text help you figure out what the author means?
Correct answer: What clues in the text help you figure out what the author means? Inference depends on connecting text clues to reasoning, so asking what clues reveal the author's meaning guides that thinking. Dates, matching initials, and page numbers are literal or trivial details that do not require inference.
Read: "Derek's hands shook as he unfolded the letter from the college. He read the first line, let out a whoop, and ran to find his mother." What most likely happened?
- A.Derek learned the college had lost his application.
- B.Derek learned he had been rejected by the college.
- C.Derek learned he had been accepted into the college.
- D.Derek learned his mother had written to the college.
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Correct answer: Derek learned he had been accepted into the college.
Correct answer: Derek learned he had been accepted into the college. Shaking hands show nervous anticipation, and a whoop followed by running to tell his mother signals joyful news, so acceptance is the supported inference. A rejection or a lost application would not produce a whoop, and nothing mentions his mother writing to the college.
Read: "The label warned, 'Keep out of reach of children,' so Mr. Tate moved the bottle from the low shelf to a locked cabinet." Why did Mr. Tate move the bottle?
- A.He wanted to hide it from the other adults.
- B.He wanted the bottle to stay cooler.
- C.He wanted to keep it away from the children.
- D.He wanted more room on the low shelf.
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Correct answer: He wanted to keep it away from the children.
Correct answer: He wanted to keep it away from the children. The warning label says to keep the product out of reach of children, and he moved it from a low shelf to a locked cabinet, so the purpose was keeping children from reaching it. Nothing mentions shelf space, hiding from adults, or temperature.
Read: "The old house groaned in the wind, its shutters rattling like loose teeth." The author's word choice creates a tone that is best described as
- A.eerie
- B.neutral
- C.hopeful
- D.cheerful
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Correct answer: eerie
Correct answer: eerie. Groaning, rattling, and the comparison to loose teeth make the house seem creepy and unsettling, an eerie tone. Nothing in the sentence is cheerful or hopeful, and the vivid, loaded words are the opposite of a neutral tone.
Which word would give the sentence "The mayor ___ the plan at the meeting" the most negative tone?
- A.discussed
- B.described
- C.presented
- D.condemned
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Correct answer: condemned
Correct answer: condemned. "Condemned" signals strong disapproval of the plan. Described, presented, and discussed are neutral verbs that report what happened without judging it.
An author describes a character as "thrifty" in one story and "stingy" in another. What does the change in word choice show?
- A.Both words have a positive connotation in most contexts.
- B.The two characters spend exactly the same amounts of money.
- C.The author is unsure which word is spelled correctly.
- D.The same trait can be framed as a virtue or as a flaw.
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Correct answer: The same trait can be framed as a virtue or as a flaw.
Correct answer: The same trait can be framed as a virtue or as a flaw. Thrifty and stingy share a denotation (careful with money) but differ in connotation: thrifty is approving and stingy is critical. The words say nothing about exact spending, stingy is not positive, and spelling has nothing to do with the choice.
Read: "Oh, wonderful," Kay muttered as the rain soaked through her new shoes. What tone does Kay's comment convey?
- A.admiring
- B.sarcastic
- C.fearful
- D.grateful
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Correct answer: sarcastic
Correct answer: sarcastic. Calling a soaking "wonderful" while muttering means the opposite of the words, which is sarcasm. She is not grateful for or admiring of the rain, and nothing suggests fear.
Read: "The puppy tumbled over its own paws, rolled onto its back, and sneezed in surprise." The tone of the sentence is best described as
- A.angry
- B.mournful
- C.formal
- D.lighthearted
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Correct answer: lighthearted
Correct answer: lighthearted. Tumbling, rolling over, and sneezing in surprise are playful, comic details that create a lighthearted tone. Nothing in the sentence is angry or sad, and the casual, vivid description is not formal.
Which sentence has the most formal tone?
- A.Hey, turn in your stuff by Friday or you're in trouble!
- B.Students are requested to submit assignments by Friday.
- C.Just get your homework to me whenever you get a chance.
- D.Friday's the day, so don't forget those papers, folks!
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Correct answer: Students are requested to submit assignments by Friday.
Correct answer: Students are requested to submit assignments by Friday. Formal writing uses complete, impersonal phrasing and avoids slang; "Students are requested to submit assignments by Friday" does that. The other three use casual words (hey, stuff, folks), contractions, and conversational phrasing.
A news article calls a protest "a peaceful gathering," and another article calls the same event "an unruly mob." What do the different word choices reveal?
- A.The second writer counted the people more carefully.
- B.Both writers agree that the protest was dangerous.
- C.The writers hold different attitudes toward it.
- D.The two protests happened in two different cities.
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Correct answer: The writers hold different attitudes toward it.
Correct answer: The writers hold different attitudes toward it. Peaceful gathering and unruly mob describe the same event with opposite connotations, revealing the writers' different attitudes. Nothing indicates two events, only the second phrase suggests danger, and word choice reveals judgment, not counting accuracy.
Read: "After months of silence, the phone finally rang, and Mom's face lit up like sunrise." The phrase "lit up like sunrise" suggests that Mom felt
- A.mild worry
- B.a burst of joy
- C.quiet anger
- D.deep fatigue
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Correct answer: a burst of joy
Correct answer: a burst of joy. A face lighting up "like sunrise" after months of silence is an image of sudden brightness and happiness. Worry, anger, and fatigue would not be described with a sunrise image.
Which word best completes the sentence to create a sad tone: "The empty swing ___ in the wind long after the children had gone"?
- A.danced
- B.zoomed
- C.bounced
- D.drifted
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Correct answer: drifted
Correct answer: drifted. "Drifted" suggests slow, aimless motion that fits the lonely image of an empty swing after the children have gone. Bounced, zoomed, and danced are energetic, playful verbs that would work against a sad tone.
In a speech, a principal says the new reading program has been "a triumph." Replacing "a triumph" with "adequate" would make the tone
- A.more humorous
- B.less formal
- C.less enthusiastic
- D.more enthusiastic
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Correct answer: less enthusiastic
Correct answer: less enthusiastic. "Triumph" is strongly approving and "adequate" means merely acceptable, so the change makes the tone less enthusiastic. It would not raise enthusiasm, add humor, or make the speech less formal, since both words are standard English.
Read: "The report was dry, packed with numbers and without a single story about a real family." How does the word "dry" affect the reader's view of the report?
- A.It suggests the report had many errors.
- B.It suggests the report was dull to read.
- C.It suggests the report was hard to find.
- D.It suggests the report was quite short.
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Correct answer: It suggests the report was dull to read.
Correct answer: It suggests the report was dull to read. Here dry means dull and uninteresting, and the rest of the sentence (all numbers, no stories) supports that meaning. It has nothing to do with how easy the report was to find, whether it had errors, or its length.
A student says an author's tone is "angry" because the story is about a storm. What is the best feedback?
- A.Tone depends only on how long each of the story's sentences is.
- B.Tone is the same as the story's setting and its time.
- C.Tone comes from the author's word choice, not the topic.
- D.Every story about weather has a frightened, angry tone.
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Correct answer: Tone comes from the author's word choice, not the topic.
Correct answer: Tone comes from the author's word choice, not the topic. Tone is the author's attitude, shown through word choice; a storm can be described with humor, awe, or calm. Sentence length alone does not set tone, no topic forces one tone, and setting is a different story element.
Read: "The committee's so-called solution solved nothing." What does the phrase "so-called" suggest?
- A.The writer is quoting the committee's official title.
- B.The writer doubts the plan deserves that name.
- C.The writer believes the plan was the best solution.
- D.The writer is unsure what the committee's plan was.
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Correct answer: The writer doubts the plan deserves that name.
Correct answer: The writer doubts the plan deserves that name. "So-called" signals skepticism: the writer uses the committee's label while implying it is undeserved, reinforced by "solved nothing." It is not praise, it is not simply a neutral quotation of a title, and the writer clearly knows what the plan was.
Read: "Because the town did not repair the dam, heavy spring rains caused it to fail, and the lower streets flooded." Which text structure does the sentence use?
- A.description
- B.problem and solution
- C.compare and contrast
- D.cause and effect
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Correct answer: cause and effect
Correct answer: cause and effect. "Because" introduces a cause (the dam was not repaired) that leads to effects (the dam failed and streets flooded). Nothing is compared, no solution is offered, and the sentence explains why events happened rather than describing features.
An article first explains that many students arrive at school hungry, then describes a breakfast program that addresses the issue. Which structure does the article use?
- A.cause and effect
- B.problem and solution
- C.compare and contrast
- D.sequence of events
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Correct answer: problem and solution
Correct answer: problem and solution. The article presents an issue (students arriving hungry) and then a response to it (the breakfast program), which is problem and solution. It is not organized by time order, it does not compare two things, and although hunger has causes, the article's organization moves from a problem to its fix.
Which signal words most often indicate a compare-and-contrast structure?
- A.first, next, finally
- B.because, as a result, so
- C.similarly, however, unlike
- D.for example, such as, like
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Correct answer: similarly, however, unlike
Correct answer: similarly, however, unlike. Similarly shows likeness, while however and unlike show difference, the core of compare and contrast. First, next, finally signal sequence; because, as a result, so signal cause and effect; and for example and such as introduce examples in descriptive or explanatory writing.
A recipe lists steps from preheating the oven to cooling the finished bread. Its structure is
- A.compare and contrast
- B.sequence
- C.description
- D.cause and effect
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Correct answer: sequence
Correct answer: sequence. Steps in a set order are a sequence (chronological or procedural) structure. A description lists features, cause and effect explains why something happens, and compare and contrast weighs similarities and differences.
Read: "Frogs have smooth, moist skin and long legs for jumping. Toads have dry, bumpy skin and shorter legs for walking." How is the passage organized?
- A.by comparing and contrasting two animals
- B.by describing causes and their effects
- C.by explaining a problem and its solution
- D.by listing steps in a scientific process
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Correct answer: by comparing and contrasting two animals
Correct answer: by comparing and contrasting two animals. The passage places frogs' features beside toads' features, highlighting differences, which is compare and contrast. There is no process, no problem to solve, and no cause-and-effect chain.
A travel article describes a market's colors, sounds, smells, and layout without telling a story or making an argument. Which structure does it use?
- A.description
- B.cause and effect
- C.problem and solution
- D.sequence
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Correct answer: description
Correct answer: description. Presenting the characteristics of a place (colors, sounds, smells, layout) is descriptive structure. There is no time order to follow, no problem is solved, and no causes or effects are explained.
Why does recognizing a text's structure help students understand it?
- A.It lets readers skip every paragraph after the first one.
- B.It shows how ideas relate, so readers know what to expect.
- C.It tells readers which facts the author made up.
- D.It replaces the need to learn new words found in the text.
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Correct answer: It shows how ideas relate, so readers know what to expect.
Correct answer: It shows how ideas relate, so readers know what to expect. Knowing that a text is organized by cause and effect or problem and solution helps a reader predict how ideas connect and organize what they learn. Structure does not reveal invented facts, justify skipping paragraphs, or replace vocabulary learning.
A history article describes events of the Civil Rights Movement year by year, from 1954 to 1968. Which graphic organizer best matches the structure?
- A.a timeline
- B.a cause-effect chain
- C.a Venn diagram
- D.a T-chart of pros and cons
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Correct answer: a timeline
Correct answer: a timeline. Events described year by year follow chronological order, which a timeline shows. A Venn diagram compares two things, a pros-and-cons T-chart supports weighing an argument, and a cause-effect chain focuses on why events happened rather than when.
Read: "Some families choose to rent their homes, which offers flexibility. Others buy, which builds savings over time. Both choices involve monthly payments." Which structure is used?
- A.problem and solution
- B.description
- C.compare and contrast
- D.sequence of events
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Correct answer: compare and contrast
Correct answer: compare and contrast. The passage sets renting beside buying, noting a difference in benefits (flexibility versus savings) and a similarity (monthly payments), which is compare and contrast. There is no time order, no problem being solved, and more than a description of one thing.
An essay states that city parks are shrinking, explains that this reduces places for children to play, and proposes turning empty lots into parks. The final paragraph's proposal serves as the
- A.solution to the problem the essay described
- B.first step in a sequence of historical events
- C.contrast to the essay's main argument earlier
- D.cause of the problem described in the opening
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Correct answer: solution to the problem the essay described
Correct answer: solution to the problem the essay described. The essay identifies a problem (shrinking parks and lost play space) and ends by proposing a response (converting empty lots), so the proposal is the solution. It does not cause the problem, it supports rather than contrasts with the argument, and the essay is not a historical sequence.
Which transition would best introduce the effect in a cause-and-effect paragraph: "The school added a second recess. ___, office referrals dropped by half."
- A.In contrast
- B.Meanwhile
- C.As a result
- D.For example
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Correct answer: As a result
Correct answer: As a result. "As a result" signals that the drop in referrals followed from the added recess. "In contrast" signals a difference, "For example" introduces an illustration, and "Meanwhile" signals something happening at the same time rather than as a consequence.
A student is reading a science article with headings such as "The Problem: Plastic in Oceans" and "What Cities Are Doing." What structure do the headings suggest?
- A.problem and solution
- B.compare and contrast
- C.description only
- D.time-order sequence
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Correct answer: problem and solution
Correct answer: problem and solution. A heading naming a problem followed by one describing actions taken is a problem-and-solution structure. The headings do not set up a comparison, do not follow time order, and go beyond description by pairing an issue with responses.
Read: "First, the caterpillar hatches. Next, it eats and grows. Then it forms a chrysalis. Finally, a butterfly emerges." Which words signal the structure?
- A.hatches, forms, emerges
- B.eats, grows, forms, emerges
- C.caterpillar, chrysalis, butterfly
- D.first, next, then, finally
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Correct answer: first, next, then, finally
Correct answer: first, next, then, finally. First, next, then, and finally are sequence signal words that show the order of stages. The other choices list content words (nouns and verbs) that carry the topic but do not signal how the text is organized.
An editorial written by a dentist urges readers to support a tax on sugary drinks. How might the author's background influence the text?
- A.It may lead the author to avoid stating any opinion at all.
- B.It may lead the author to write mainly about sports drinks.
- C.It may lead the author to focus on the health costs of sugar.
- D.It may lead the author to ignore the effects on teeth.
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Correct answer: It may lead the author to focus on the health costs of sugar.
Correct answer: It may lead the author to focus on the health costs of sugar. A dentist's professional background would likely shape the argument around health, especially the effects of sugar on teeth. It would not lead the author to ignore teeth, an editorial states an opinion by design, and nothing suggests a focus on sports drinks.
A pamphlet from a tourism office describes a beach town's sunsets, restaurants, and festivals. What is the author's most likely purpose?
- A.to warn readers about the town's dangers
- B.to entertain readers with a fictional tale
- C.to inform readers about local tax rates
- D.to persuade readers to visit the town
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Correct answer: to persuade readers to visit the town
Correct answer: to persuade readers to visit the town. A tourism office wants visitors, and highlighting sunsets, restaurants, and festivals is meant to persuade readers to come. The pamphlet is not fiction, does not discuss taxes, and presents only attractions rather than warnings.
Which text was most likely written mainly to inform?
- A.a comic story about a talking volcano's vacation
- B.an advertisement for a new brand of hiking boots
- C.a science article explaining how volcanoes form
- D.a letter urging the council to fund a new library
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Correct answer: a science article explaining how volcanoes form
Correct answer: a science article explaining how volcanoes form. An article explaining how volcanoes form presents facts to teach the reader, so its purpose is to inform. The comic story entertains, and the letter and the advertisement both try to persuade.
Two articles describe the same new factory. One is written by a factory owner and one by a neighbor worried about traffic. What is the best reason the articles differ?
- A.Each writer's viewpoint shapes which details appear.
- B.One writer must have invented facts about the factory.
- C.Articles on one topic always reach the same conclusion.
- D.The neighbor knows more about building factories.
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Correct answer: Each writer's viewpoint shapes which details appear.
Correct answer: Each writer's viewpoint shapes which details appear. An owner and a worried neighbor bring different perspectives, so each emphasizes the details that matter to them, such as jobs or traffic. Differences in emphasis do not prove invention, articles on one topic can reach different conclusions, and nothing suggests the neighbor has construction expertise.
Read: "Every citizen who cares about children should vote yes on the school bond." Which purpose does this sentence show most clearly?
- A.to describe
- B.to inform
- C.to amuse
- D.to persuade
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Correct answer: to persuade
Correct answer: to persuade. Telling readers what they "should" do and appealing to caring about children is persuasive language. The sentence is not meant to amuse, it offers no facts to inform, and it does not describe anything.
A memoir about growing up on a farm includes funny stories about the author's stubborn goat. The main purpose of these stories is most likely to
- A.entertain readers while sharing the author's life
- B.inform readers about the scientific study of goat diets
- C.persuade readers to buy goats for their own families
- D.warn readers that farm animals are always dangerous
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Correct answer: entertain readers while sharing the author's life
Correct answer: entertain readers while sharing the author's life. Funny personal stories in a memoir are there to entertain while revealing the author's life. They do not urge readers to buy goats, present scientific study, or warn that farm animals are always dangerous.
How does an author's purpose typically affect the style of a text?
- A.A persuasive text usually presents only neutral, balanced facts.
- B.An informative text usually relies on the author's feelings.
- C.A persuasive text often uses emotional appeals and loaded words.
- D.An entertaining text usually avoids dialogue and description.
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Correct answer: A persuasive text often uses emotional appeals and loaded words.
Correct answer: A persuasive text often uses emotional appeals and loaded words. Writers who aim to persuade often choose emotional appeals and words with strong connotations. Informative texts emphasize facts over feelings, entertaining texts often rely heavily on dialogue and description, and persuasive texts are rarely neutral.
A student reads a biography of a scientist written by the scientist's grandson. What question best helps the student think about the author's perspective?
- A.How might the author's family tie shape what he chose to include?
- B.How many pages long is each chapter of this particular biography?
- C.Which of the scientist's inventions would the student like best?
- D.What year was the biography first printed and who printed it?
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Correct answer: How might the author's family tie shape what he chose to include?
Correct answer: How might the author's family tie shape what he chose to include? Perspective includes background and relationships; asking how the family tie affects what is included or left out helps the student evaluate the text. Chapter length and printing details do not address perspective, and the student's favorite invention is a personal response, not analysis of the author.
A website run by a company that sells air purifiers states that indoor air is "five times dirtier" than outdoor air. What should a careful reader consider?
- A.The claim must be true because it gives a number.
- B.Websites never state opinions about their products.
- C.Companies are required to publish only verified data.
- D.The company benefits if readers believe the claim.
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Correct answer: The company benefits if readers believe the claim.
Correct answer: The company benefits if readers believe the claim. A seller of air purifiers has a financial interest in readers believing indoor air is dirty, so the claim should be checked against an independent source. Companies are not required to publish only verified data, a number does not make a claim true, and company websites commonly promote their products.
Read: "I have taught fifth grade for twenty years, and I have never seen homework improve a nine-year-old's love of reading." Which best describes how the author supports the viewpoint?
- A.with results from a school survey
- B.with statistics from a national study
- C.with personal experience as a teacher
- D.with quotations from several experts
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Correct answer: with personal experience as a teacher
Correct answer: with personal experience as a teacher. The author relies on twenty years of personal teaching experience. No statistics, expert quotations, or survey results are given; recognizing that the support is personal helps a reader weigh it.
Which sentence reveals the author's viewpoint rather than stating a fact?
- A.The new playground cost the town about 120,000 dollars to build.
- B.The new playground is the best thing our town has built.
- C.The new playground opened on June 3 at Elm Street Park.
- D.The new playground has two slides and a climbing wall.
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Correct answer: The new playground is the best thing our town has built.
Correct answer: The new playground is the best thing our town has built. "The best addition our town has made" is a judgment that reveals the author's opinion. The opening date, the cost, and the equipment can all be checked and are facts.
An author writes a story to entertain young readers but also includes facts about how bees make honey. What does this show about author's purpose?
- A.A text can have a main purpose and a secondary purpose.
- B.A text can only ever have one purpose at a single time.
- C.Stories that include facts are no longer entertaining.
- D.Facts in a story always make its purpose persuasion.
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Correct answer: A text can have a main purpose and a secondary purpose.
Correct answer: A text can have a main purpose and a secondary purpose. Texts often combine purposes: this story's main purpose is to entertain, and it also informs. Texts are not limited to one purpose, facts do not stop a story from being entertaining, and including facts does not make a text persuasive.
A speech about a new park is given by the city council member who proposed it. Which detail would the speaker most likely leave out?
- A.the park's cost overruns and construction delays
- B.the park's new playground and walking trails
- C.the number of families who visit the park
- D.the trees planted along the park's main entrance
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Correct answer: the park's cost overruns and construction delays
Correct answer: the park's cost overruns and construction delays. A speaker who proposed the park has a reason to emphasize its benefits and downplay problems, so cost overruns and delays are the details most likely omitted. The playground, visitor numbers, and trees all present the park favorably.
A table shows library visits: January 420, February 380, March 510, April 465. In which month were there the fewest visits?
- A.March
- B.February
- C.January
- D.April
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Correct answer: February
Correct answer: February. Comparing the four values, 380 in February is the smallest. January (420), April (465), and March (510) are all higher.
A bar graph shows the number of books read by four classes: Room 101 has 45, Room 102 has 60, Room 103 has 30, and Room 104 has 55. How many more books did Room 102 read than Room 103?
- A.90
- B.25
- C.15
- D.30
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Correct answer: 30
Correct answer: 30. Subtract Room 103 from Room 102: 60 − 30 = 30. The value 15 is the difference between Room 102 and Room 101, 25 is the difference between Room 104 and Room 103, and 90 is the sum of Rooms 102 and 103 rather than the difference.
A map's scale shows that 1 inch equals 5 miles. Two towns are 3 inches apart on the map. How far apart are the towns?
- A.8 miles
- B.5 miles
- C.15 miles
- D.3 miles
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Correct answer: 15 miles
Correct answer: 15 miles. Each inch represents 5 miles, so 3 inches represent 3 × 5 = 15 miles. Adding 3 and 5 gives 8, using only the scale value gives 5, and 3 miles simply reads the map distance as if it were real miles.
Before reading the values on a line graph, what should a reader check first?
- A.the highest point and the lowest point
- B.the color of the line and the font size
- C.the page number and the date of printing
- D.the title, axis labels, and the scale
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Correct answer: the title, axis labels, and the scale
Correct answer: the title, axis labels, and the scale. The title says what the graph shows, the axis labels say what each variable is, and the scale says what each gridline is worth; without them, values cannot be read correctly. Color and font are cosmetic, the high and low points cannot be interpreted until the axes are understood, and page details are irrelevant.
A circle graph shows how a class of 40 students gets to school: 50% ride the bus, 25% walk, 15% ride in a car, and 10% bike. How many students walk?
- A.4
- B.15
- C.25
- D.10
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Correct answer: 10
Correct answer: 10. Twenty-five percent of 40 is 0.25 × 40 = 10 students. The value 25 is the percent itself, not the number of students; 15 reads the car slice's percent; and 4 is 10% of 40, the number who bike.
A line graph shows a plant's height each week: week 1, 2 cm; week 2, 4 cm; week 3, 7 cm; week 4, 11 cm. What trend does the graph show?
- A.The plant stopped growing after the second week.
- B.The plant grew more each week than the week before.
- C.The plant was shorter in week 4 than in week 1.
- D.The plant grew by the same amount every week.
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Correct answer: The plant grew more each week than the week before.
Correct answer: The plant grew more each week than the week before. The weekly increases are 2, 3, and 4 cm, so the plant grew more each week than the week before. The growth was not constant, it did not stop, and 11 cm in week 4 is taller than 2 cm in week 1.
A pictograph uses one apple symbol to represent 4 apples. The row for Tuesday shows 6 apple symbols. How many apples were picked on Tuesday?
- A.4
- B.10
- C.24
- D.6
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Correct answer: 24
Correct answer: 24. Each symbol stands for 4 apples, so 6 symbols represent 6 × 4 = 24 apples. Six counts symbols without using the key, 10 adds 6 and 4, and 4 is the value of just one symbol.
A table lists the average monthly rainfall in a city: April 3.2 in., May 4.1 in., June 2.6 in., July 1.8 in. Which statement is supported by the table?
- A.July had more rainfall than June did that year.
- B.Rainfall rose steadily from April through July.
- C.May had the most rainfall of the four months.
- D.April and June had exactly the same rainfall.
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Correct answer: May had the most rainfall of the four months.
Correct answer: May had the most rainfall of the four months. May's 4.1 inches is the largest value. July (1.8) had less than June (2.6), rainfall rose then fell rather than rising steadily, and April (3.2) and June (2.6) are different.
On a map, the legend shows a blue dashed line for a hiking trail and a solid red line for a highway. What does a blue dashed line on the map represent?
- A.a state border
- B.a river
- C.a highway
- D.a hiking trail
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Correct answer: a hiking trail
Correct answer: a hiking trail. The legend (key) assigns meanings to symbols, and it defines the blue dashed line as a hiking trail. The highway is the solid red line, and the legend described does not define rivers or borders.
A bar graph's vertical axis is labeled "Number of Students" and has gridlines at 0, 5, 10, 15, and 20. A bar ends exactly halfway between the 10 and 15 gridlines. What value does the bar show?
- A.15
- B.10.5
- C.12.5
- D.12
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Correct answer: 12.5
Correct answer: 12.5. Each gridline is worth 5, so halfway between 10 and 15 is (10 + 15) ÷ 2 = 12.5. Reading 10.5 treats the half gridline as half a unit, 12 rounds the value down, and 15 reads the next gridline instead of the bar's end.
A chart shows that a store sold 120 hats in May and 90 hats in June. By how much did hat sales decrease?
- A.90 hats
- B.25 hats
- C.210 hats
- D.30 hats
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Correct answer: 30 hats
Correct answer: 30 hats. The decrease is 120 − 90 = 30 hats. Ninety is June's total, 210 adds the two months, and 25 is the percent decrease (30 ÷ 120), not the number of hats.
A diagram of the water cycle has arrows from the ocean up to the clouds labeled "evaporation" and from the clouds down to the land labeled "precipitation." What does the diagram show about precipitation?
- A.Water rises from the ocean to the clouds.
- B.Water flows from the land into the ocean.
- C.Water stays in the clouds as vapor.
- D.Water falls from clouds to the land below.
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Correct answer: Water falls from clouds to the land below.
Correct answer: Water falls from clouds to the land below. The arrow labeled precipitation points from the clouds down to the land, showing water falling. Rising from the ocean is evaporation, flow from land to ocean is runoff (not shown in the description), and the diagram shows water leaving the clouds, not staying there.
A student reads a double bar graph comparing boys' and girls' favorite sports but reverses the two colors. What should a paraeducator prompt the student to check?
- A.the graph's title showing which sports are compared
- B.the graph's scale showing how many each gridline is
- C.the graph's source showing who collected the data
- D.the graph's legend, which shows each group's colors
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Correct answer: the graph's legend, which shows each group's colors
Correct answer: the graph's legend, which shows each group's colors. Reversing the groups is a legend error, so the student needs to check the key that assigns each color to boys or girls. The title, scale, and source are all worth reading, but none of them tells which color stands for which group.
A writer claims, "Our school should start later in the morning." Which piece of evidence would best support this claim?
- A.The writer's older brother always felt tired in the morning.
- B.A study found teens who start later sleep more and learn more.
- C.School buses in the town are painted a bright yellow color.
- D.Many students say they would rather sleep in on school days.
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Correct answer: A study found teens who start later sleep more and learn more.
Correct answer: A study found teens who start later sleep more and learn more. A study linking later start times to more sleep and higher scores is relevant, measurable evidence for the claim. Student preference shows only a wish, one brother's experience is a weak anecdote, and bus color is irrelevant.
A passage argues that walking to school benefits children. Which sentence from the passage provides the strongest evidence for this claim?
- A.Walking to school was common for children many decades in the past.
- B.Children who walk to school get about 20 more minutes of daily exercise.
- C.Many schools are located on busy streets with traffic every morning.
- D.Some parents would rather drive their children to school in the morning.
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Correct answer: Children who walk to school get about 20 more minutes of daily exercise.
Correct answer: Children who walk to school get about 20 more minutes of daily exercise. The statistic about 20 extra minutes of daily exercise directly shows a benefit. Parent preferences, busy streets, and history do not show that walking benefits children; the busy-streets detail could even support the opposite view.
Which type of evidence is generally strongest for supporting a claim in an informational article?
- A.data from a reliable, clearly named source
- B.a popular saying that many people repeat often
- C.a claim repeated several times in the article
- D.a strong personal feeling the author describes
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Correct answer: data from a reliable, clearly named source
Correct answer: data from a reliable, clearly named source. Data from a reliable, identified source can be checked and is relevant, which makes it strong support. Feelings, popular sayings, and repetition do not prove a claim no matter how strongly they are expressed.
An author claims that a new traffic light made an intersection safer. Which evidence is most relevant?
- A.A local company installed the new traffic light.
- B.The intersection is near a popular grocery store.
- C.Crashes at the corner fell from 14 to 3 in a year.
- D.Drivers said the light's colors were easy to see.
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Correct answer: Crashes at the corner fell from 14 to 3 in a year.
Correct answer: Crashes at the corner fell from 14 to 3 in a year. A drop in crashes from 14 to 3 is a direct measure of safety. Who installed the light, drivers' comments about its colors, and nearby stores do not measure whether the intersection became safer.
A student writes, "Recycling helps the environment," and supports it only with "because everyone knows it does." What is the weakness in the support?
- A.It includes too many specific examples.
- B.It offers no facts or examples at all.
- C.It quotes too many experts on the subject.
- D.It relies on statistics that are too out of date.
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Correct answer: It offers no facts or examples at all.
Correct answer: It offers no facts or examples at all. "Everyone knows" is not evidence; the claim needs facts, statistics, or examples. The support contains no expert quotations, no statistics, and no examples, so those cannot be the weakness.
Read: "Libraries remain essential. Last year our city library hosted 900 free classes, lent 40,000 e-books, and provided internet access to 12,000 people." What kind of evidence does the author use?
- A.an anecdote about one library patron
- B.statistics about the library's services
- C.an expert's opinion about all libraries
- D.a comparison of two different libraries
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Correct answer: statistics about the library's services
Correct answer: statistics about the library's services. Counts of classes, e-books, and people served are statistics. There is no story about a single person, no expert is quoted, and only one library is discussed.
Which quotation would be most relevant evidence for the claim "The author of the novel admired nature"?
- A."My publisher asked me to shorten the long third chapter."
- B."The mountains were my first teachers and truest friends."
- C."The book sold well in both England and the U.S."
- D."I finished the book in the winter of 1952 at my desk."
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Correct answer: "The mountains were my first teachers and truest friends."
Correct answer: "The mountains were my first teachers and truest friends.". Calling the mountains "my first teachers and my truest friends" directly expresses admiration for nature. When the book was finished, a publisher's request, and sales figures say nothing about the author's feelings toward nature.
An article claims that a new reading program improved scores, but its only evidence is that one student liked the program. How should a reader judge the claim?
- A.Weakly supported, since one student's opinion shows no gain
- B.Well supported, since the student used the program directly
- C.Weakly supported, since the article is about reading scores
- D.Well supported, since the article gives a specific example
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Correct answer: Weakly supported, since one student's opinion shows no gain
Correct answer: Weakly supported, since one student's opinion shows no gain. A single student's enjoyment does not show that scores improved, so the claim is weakly supported. Direct use and a specific example do not make an opinion into evidence of score gains, and the topic of reading scores is not itself a weakness.
Evidence is relevant to a claim when it
- A.is interesting even if it is on another topic
- B.relates directly to and helps prove that claim
- C.appears in the first sentence of the article
- D.comes from the very longest part of the whole text
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Correct answer: relates directly to and helps prove that claim
Correct answer: relates directly to and helps prove that claim. Relevance means the evidence is connected to the claim and helps prove it. Where the evidence appears or how interesting it is does not make it relevant.
A writer argues that a town needs more bike lanes. Which evidence would a skeptical reader find most convincing?
- A.City records show bike crashes fell where lanes were added.
- B.The writer really enjoys biking to work on sunny spring mornings.
- C.Many famous cities around the world have bike lanes.
- D.A bike shop owner says the town would be nicer with lanes.
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Correct answer: City records show bike crashes fell where lanes were added.
Correct answer: City records show bike crashes fell where lanes were added. City records linking new lanes to fewer crashes are measurable, relevant, and independent. The writer's enjoyment is personal, the bike shop owner has a financial interest, and other cities having lanes does not show this town needs them.
Which sentence is an example of a direct quotation used as evidence?
- A.Dr. Lee stated, "Children need nine hours of sleep."
- B.Sleep is important, and doctors often talk about it.
- C.Dr. Lee believes children should get more sleep than now.
- D.According to Dr. Lee, many children do not sleep enough.
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Correct answer: Dr. Lee stated, "Children need nine hours of sleep."
Correct answer: Dr. Lee stated, "Children need nine hours of sleep.". A direct quotation reproduces a source's exact words inside quotation marks, as in the sentence quoting Dr. Lee. The next two sentences paraphrase Dr. Lee's views, and the last is a general statement with no source.
An editorial claims the school cafeteria wastes food. Which evidence would best support the claim?
- A.The cafeteria was painted and given new tables last summer.
- B.Staff weighed 85 pounds of uneaten food thrown out in one week.
- C.Students often say that the cafeteria lunches taste very bland.
- D.Food waste is a problem in many places around the world.
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Correct answer: Staff weighed 85 pounds of uneaten food thrown out in one week.
Correct answer: Staff weighed 85 pounds of uneaten food thrown out in one week. A measured amount of uneaten food thrown out is direct evidence of waste at this cafeteria. Complaints about taste suggest a possible cause but do not show waste, new paint and tables are irrelevant, and a global statement does not describe this cafeteria.
How many phonemes (individual sounds) are in the word "ship"?
- A.4
- B.3
- C.1
- D.2
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Correct answer: 3
Correct answer: 3. "Ship" has three sounds: /sh/, /i/, /p/. The letters s and h together make one sound, so counting letters (4) overcounts; 2 and 1 undercount.
Which pair of words differs only in the first sound?
- A.bat and tab
- B.bat and pat
- C.bat and bit
- D.bat and bag
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Correct answer: bat and pat
Correct answer: bat and pat. "Bat" and "pat" differ only in the first phoneme, /b/ versus /p/, the example ETS itself uses. "Bat" and "bag" differ in the last sound, "bat" and "bit" differ in the middle vowel sound, and "tab" reverses the order of the sounds.
How many syllables are in the word "butterfly"?
- A.2
- B.9
- C.4
- D.3
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Correct answer: 3
Correct answer: 3. But-ter-fly has three syllables, each with one vowel sound. Two and four miscount the beats, and 9 is the number of letters.
Which word has only one syllable?
- A.window
- B.dog
- C.apple
- D.table
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Correct answer: dog
Correct answer: dog. "Dog" has one vowel sound and therefore one syllable. Ap-ple, ta-ble, and win-dow each have two syllables.
A phoneme is best defined as
- A.the smallest unit of meaning in a word part
- B.a word part that contains exactly one vowel
- C.the smallest unit of sound in a spoken language
- D.a letter or group of letters that spell a word
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Correct answer: the smallest unit of sound in a spoken language
Correct answer: the smallest unit of sound in a spoken language. A phoneme is the smallest unit of sound that can change a word's meaning, such as /b/ versus /p/. The smallest unit of meaning is a morpheme, letters that represent sounds are graphemes, and a word part with one vowel sound is a syllable.
A teacher says "/k/ /a/ /t/" and asks a student to say the word. Which skill is the student practicing?
- A.matching letters to their names
- B.segmenting a word into phonemes
- C.blending phonemes into a word
- D.counting the syllables in a word
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Correct answer: blending phonemes into a word
Correct answer: blending phonemes into a word. Hearing separate sounds and combining them into "cat" is phoneme blending. Segmenting is the reverse (breaking a word into sounds), syllable counting works with larger units, and letter names are not involved in an oral task.
Which activity builds phonological awareness without using any printed letters?
- A.copying spelling words from the whiteboard
- B.matching printed words to pictures on cards
- C.clapping the syllables in classmates' names
- D.tracing letters in a tray of sand
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Correct answer: clapping the syllables in classmates' names
Correct answer: clapping the syllables in classmates' names. Phonological awareness is about the sounds of spoken language, so clapping syllables in names is an oral activity that builds it. Copying words, tracing letters, and matching printed words all rely on print.
If you change the first sound in "mat" to /s/, what new word do you make?
- A.tam
- B.mast
- C.sat
- D.mas
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Correct answer: sat
Correct answer: sat. Replacing the first sound /m/ with /s/ turns "mat" into "sat." "Mas" changes the last sound, "tam" reverses the sounds, and "mast" adds a sound.
How many phonemes are in the word "cake"?
- A.3
- B.2
- C.4
- D.5
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Correct answer: 3
Correct answer: 3. "Cake" has three sounds: /k/ /ā/ /k/. The final e is silent and the a makes the long vowel sound, so counting letters (4) overcounts.
A student says the word "sun" as /s/ /u/ /n/. Which skill is the student showing?
- A.segmenting a word into its separate sounds
- B.blending individual sounds into a single word
- C.counting the syllables in the word "sun"
- D.rhyming the word with a word like "fun"
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Correct answer: segmenting a word into its separate sounds
Correct answer: segmenting a word into its separate sounds. Breaking a spoken word into its separate sounds is phoneme segmentation. Blending is combining sounds into a word, rhyming matches ending sounds, and "sun" has one syllable, which the student did not count.
Which word has the same number of syllables as "pencil"?
- A.crayon box
- B.rabbit
- C.eraser
- D.pen
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Correct answer: rabbit
Correct answer: rabbit. Pen-cil has two syllables, and so does rab-bit. E-ras-er has three, pen has one, and crayon box is two words with three syllables in total.
Which word begins with a consonant digraph?
- A.black
- B.stamp
- C.crab
- D.chair
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Correct answer: chair
Correct answer: chair. A digraph is two letters that make one sound; ch in "chair" makes a single sound. Cr, bl, and st are consonant blends, in which each letter keeps its own sound.
Which word contains a consonant blend?
- A.stop
- B.thin
- C.shop
- D.whip
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Correct answer: stop
Correct answer: stop. In "stop," s and t are each heard, which makes st a blend. Sh, th, and wh are digraphs, each pair making one sound.
Which word contains a vowel team?
- A.boat
- B.bird
- C.bat
- D.bite
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Correct answer: boat
Correct answer: boat. The vowel team oa in "boat" is two vowels working together to make the long o sound. "Bat" has a single short vowel, "bite" uses a silent e pattern rather than a vowel team, and "bird" has an r-controlled vowel.
In the word "shrimp," which letters form a consonant digraph?
- A.sh
- B.ri
- C.mp
- D.hr
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Correct answer: sh
Correct answer: sh. The letters s and h together make one sound, /sh/, so sh is a consonant digraph. In mp both the /m/ and /p/ sounds are heard, which makes it a final blend; hr and ri are not letter teams, because the h belongs to sh and the r starts the blend with it.
A student reads "rain" as "ran." Which phonics skill needs reinforcement?
- A.the vowel team ai making the long a sound
- B.the silent e at the end of the word
- C.the digraph sh at the end of the word
- D.the consonant blend at the start of the word
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Correct answer: the vowel team ai making the long a sound
Correct answer: the vowel team ai making the long a sound. Reading "rain" as "ran" means the student gave a short a sound instead of the long a spelled by the vowel team ai. "Rain" has no initial blend, no sh digraph, and no silent e.
Which strategy best helps a student decode the multisyllabic word "sunflower"?
- A.Guess the word from the very first letter only.
- B.Break it into the two words sun and flower.
- C.Spell it aloud letter by letter one time.
- D.Skip it and continue reading the sentence.
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Correct answer: Break it into the two words sun and flower.
Correct answer: Break it into the two words sun and flower. "Sunflower" is a compound word, so splitting it into two known words is an efficient decoding strategy. Guessing from the first letter, skipping, and spelling letter names do not help the student read the word.
Which word has a short vowel sound?
- A.cup
- B.cute
- C.coat
- D.cube
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Correct answer: cup
Correct answer: cup. "Cup" has a short u in a closed consonant-vowel-consonant pattern. "Cute" and "cube" have long u from the silent e, and "coat" has long o from the vowel team oa.
Which word follows the silent-e (vowel-consonant-e) pattern?
- A.kiss
- B.knit
- C.kite
- D.kit
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Correct answer: kite
Correct answer: kite. In "kite," the final e is silent and makes the i say its name (long i). "Kit," "knit," and "kiss" all have a short i and no final silent e.
A student reads the word "street" by saying /s/ /t/ /r/ /ē/ /t/. Which features did the student decode correctly?
- A.the blend ee and the digraph str at the start
- B.the consonant blend str and the vowel team ee
- C.the digraph tr and the short vowel sound e
- D.the consonant digraph st and the silent e
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Correct answer: the consonant blend str and the vowel team ee
Correct answer: the consonant blend str and the vowel team ee. Str is a three-letter blend in which each sound is heard, and ee is a vowel team making long e; the student read both correctly. St is a blend, not a digraph, there is no silent e, the vowel is long rather than short, and ee is a vowel team, not a blend.
Which pair of words both contain a consonant digraph?
- A.frog and plant
- B.clip and brags
- C.snap and grins
- D.phone and whip
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Correct answer: phone and whip
Correct answer: phone and whip. Ph in "phone" makes one sound (/f/) and wh in "whip" makes one sound, so both are digraphs. Fr, pl, sn, gr, cl, and br are blends, in which both consonant sounds are heard.
Which word spells the /f/ sound with a consonant digraph?
- A.gift
- B.graph
- C.flag
- D.frog
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Correct answer: graph
Correct answer: graph. In "graph," the letters ph work together to spell one sound, /f/, which makes ph a digraph. "Frog" and "flag" spell /f/ with the single letter f (inside the blends fr and fl), and "gift" spells it with f in the final blend ft.
When a paraeducator helps a student decode an unfamiliar word, which prompt best supports phonics?
- A.Skip that word and see if the sentence makes sense.
- B.Look at the picture and guess what the word might be.
- C.Look at the letters and say each sound, then blend them.
- D.Look at me and I will tell you what the word says.
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Correct answer: Look at the letters and say each sound, then blend them.
Correct answer: Look at the letters and say each sound, then blend them. Prompting the student to attend to letters, say each sound, and blend them builds phonics and word-analysis skill. Guessing from pictures and skipping avoid decoding, and telling the student the word removes the practice.
A paraeducator is leading a small-group discussion about a story. Which prompt best encourages students to cite textual evidence?
- A.Who can tell me the title of this story again?
- B.What sentence in the story makes you think that?
- C.Did you like this story more than the last one?
- D.What would you do if you were in the story?
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Correct answer: What sentence in the story makes you think that?
Correct answer: What sentence in the story makes you think that? Asking which sentence supports a student's idea requires them to return to the text and cite evidence. Personal preference, imagining oneself in the story, and recalling the title are useful questions but do not ask for textual evidence.
During a discussion, one student dominates while others stay silent. What is the most effective way for a paraeducator to support engagement?
- A.End the discussion early and assign a worksheet.
- B.Invite each student to share one idea, using a talking turn.
- C.Answer the questions for the quiet students to save time.
- D.Let the most confident student answer every question asked.
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Correct answer: Invite each student to share one idea, using a talking turn.
Correct answer: Invite each student to share one idea, using a talking turn. Structured turns give every student a chance to contribute while keeping the discussion going. Letting one student answer everything, ending the discussion, or answering for quiet students all reduce participation.
A student answers a comprehension question with "I don't know." Which response from the paraeducator best keeps the student engaged with the text?
- A.Try to guess, and I'll say whether you are right or not.
- B.That's okay, I'll just tell you the answer this time.
- C.We can skip that one and go on to the next question.
- D.Let's reread this paragraph together and look for clues.
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Correct answer: Let's reread this paragraph together and look for clues.
Correct answer: Let's reread this paragraph together and look for clues. Rereading together and looking for clues keeps the student thinking and working with the text. Giving the answer, inviting a blind guess, or skipping the question removes the chance to build comprehension.
Which question is most likely to encourage students to share their own insights about a text?
- A.What do you think the author wanted us to learn, and why?
- B.What color was the main character's coat in chapter one?
- C.How many chapters are in the book that we are reading?
- D.What is the name of the town where the story takes place?
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Correct answer: What do you think the author wanted us to learn, and why?
Correct answer: What do you think the author wanted us to learn, and why? An open-ended question about the author's message invites interpretation and explanation of reasoning. Questions about the town, the number of chapters, or a coat color have single factual answers and call for recall, not insight.
A paraeducator wants students to ask their own questions about a nonfiction article. Which step best supports this?
- A.Read the article aloud without ever pausing for any questions.
- B.Model a question, then have students write one of their own.
- C.Give students a list of answers to match to the article text.
- D.Tell students that questions will be asked only by adults.
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Correct answer: Model a question, then have students write one of their own.
Correct answer: Model a question, then have students write one of their own. Modeling a question and then having students write their own teaches them to generate questions. Matching given answers, reading without pauses, and reserving questions for adults all prevent students from asking questions.
Two students disagree about why a character acted as she did. What should the paraeducator do?
- A.Tell the students which of their two answers is the right one.
- B.Let the older of the two students decide which view is right.
- C.Ask each student to point to text that supports their view.
- D.Change the subject so that the students stop disagreeing.
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Correct answer: Ask each student to point to text that supports their view.
Correct answer: Ask each student to point to text that supports their view. Asking both students to support their views with text evidence turns disagreement into productive discussion. Simply declaring an answer, changing the subject, or letting age decide skips the evidence-based reasoning the discussion is meant to build.
Which sentence starter best helps students build on a classmate's idea during a text discussion?
- A."I already know all of this, so I think..."
- B."The answer is wrong, so let's move on..."
- C."I agree with Sam, and I would add that..."
- D."Can we read a different book now..."
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Correct answer: "I agree with Sam, and I would add that..."
Correct answer: "I agree with Sam, and I would add that...". "I agree with Sam, and I would add that..." acknowledges a peer's idea and extends it, which is the purpose of a discussion sentence starter. Dismissing an answer, claiming to know it all, or asking to switch books shuts down discussion.
Under the teacher's plan, a paraeducator leads a group through a text discussion. Which action best reinforces the teacher's lesson?
- A.Skip the discussion so the group can finish the text faster.
- B.Use the teacher's discussion questions and note each response.
- C.Replace the teacher's questions with a brand-new lesson.
- D.Assign a different book the group seems to like a lot more.
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Correct answer: Use the teacher's discussion questions and note each response.
Correct answer: Use the teacher's discussion questions and note each response. A paraeducator supports instruction under the teacher's direction, so using the planned questions and recording responses reinforces the lesson and informs the teacher. Replacing the lesson, skipping the discussion, or changing the book departs from the teacher's plan.
A student states that a story's theme is "never give up." Which follow-up question best deepens the discussion?
- A.Which events in the story show the character refusing to quit?
- B.Can you spell the word theme on your whiteboard for the group?
- C.Do you think this story is longer than the story we read before?
- D.Is that the same theme as the story we read last month too?
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Correct answer: Which events in the story show the character refusing to quit?
Correct answer: Which events in the story show the character refusing to quit? Asking which events show the character refusing to quit pushes the student to support the theme with textual evidence. Comparing to last month's theme, spelling a word, or comparing length does not deepen analysis of this text.
Why do paraeducators ask students to cite evidence from the text during discussions?
- A.It teaches students to ground ideas in what they read.
- B.It proves that there is only one correct opinion possible.
- C.It lets students avoid reading the whole text carefully.
- D.It keeps students from sharing any ideas of their own.
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Correct answer: It teaches students to ground ideas in what they read.
Correct answer: It teaches students to ground ideas in what they read. Citing evidence teaches students to base their interpretations on the text, a key reading skill. It requires careful reading, it allows for different well-supported interpretations, and it strengthens rather than suppresses students' own ideas.
Read: "Hurricanes form over warm ocean water. The warm, moist air rises, which lowers the air pressure below it. More air rushes in to fill the gap, and the storm begins to spin." How does the author mainly organize these ideas?
- A.by describing how a storm looks
- B.by comparing two kinds of ocean storms
- C.by arguing for a plan to stop hurricanes
- D.by showing how one event causes the next
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Correct answer: by showing how one event causes the next
Correct answer: by showing how one event causes the next. Each sentence explains a step caused by the one before (warm water, rising air, lower pressure, rushing air, spinning), a cause-and-effect sequence that shows how one event causes the next. No second storm is compared, no sensory description is given, and no plan is proposed.
Writing (109)
Which sentence uses correct subject-verb agreement?
- A.The boxes of old photograph is on the top shelf.
- B.The box of old photographs are on the top shelf.
- C.The box of old photographs were on the top shelf.
- D.The box of old photographs is on the top shelf.
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Correct answer: The box of old photographs is on the top shelf.
Correct answer: The box of old photographs is on the top shelf. The subject is "box," which is singular, so the verb must be "is"; the phrase "of old photographs" does not change the subject. "Are" and "were" are plural verbs for a singular subject, and "boxes ... is" pairs a plural subject with a singular verb.
Which sentence uses pronouns correctly?
- A.Marcus and me finished the project ourselves.
- B.Myself and Marcus finished the project alone.
- C.Marcus and I finished the project ourself.
- D.Marcus and I finished the project ourselves.
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Correct answer: Marcus and I finished the project ourselves.
Correct answer: Marcus and I finished the project ourselves. "I" is the subject form, and the plural reflexive "ourselves" matches the plural subject "Marcus and I." "Me" cannot be a subject, "ourself" is not the standard plural reflexive, and "myself" cannot stand in for "I" as a subject.
Which sentence is punctuated correctly?
- A.I wanted to go to the park; however, it started to rain.
- B.I wanted to go to the park, however, it started to rain.
- C.I wanted to go to the park however it started to rain.
- D.I wanted to go to the park; however it started, to rain.
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Correct answer: I wanted to go to the park; however, it started to rain.
Correct answer: I wanted to go to the park; however, it started to rain. "However" joins two independent clauses here, so it needs a semicolon before it and a comma after it. A comma before "however" creates a comma splice, no punctuation creates a run-on, and the comma after "started" splits the verb from its complement.
Which word correctly completes the sentence: "The dog wagged ___ tail when the children came home"?
- A.it is
- B.it's
- C.its'
- D.its
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Correct answer: its
Correct answer: its. "Its" is the possessive form (the tail belonging to it). "It's" and "it is" mean "it is," which makes no sense here, and "its'" is not a word.
Which sentence uses "their," "there," and "they're" correctly?
- A.They're putting their coats over there by the door.
- B.Their putting they're coats over there by the door.
- C.There putting their coats over they're by the door.
- D.They're putting there coats over their by the door.
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Correct answer: They're putting their coats over there by the door.
Correct answer: They're putting their coats over there by the door. "They're" means "they are," "their" shows ownership of the coats, and "there" names the place. Each of the other sentences puts at least one of the three words in the wrong position.
Which sentence is a fragment?
- A.We walked because the bus was late.
- B.The bus was late again this morning.
- C.The bus came late, so we walked in.
- D.Because the bus was late this morning.
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Correct answer: Because the bus was late this morning.
Correct answer: Because the bus was late this morning. "Because the bus was late this morning" is a dependent clause with no independent clause to complete the thought, so it is a fragment. The other three are complete sentences, including one that attaches the "because" clause to an independent clause.
Which revision correctly fixes the run-on "The game ended we went out for pizza"?
- A.The game ended, we went out for pizza after.
- B.The game ended, and we went out for pizza.
- C.The game, ended we went out for pizza after it.
- D.The game ended and, we went out for the pizza.
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Correct answer: The game ended, and we went out for pizza.
Correct answer: The game ended, and we went out for pizza. A comma plus a coordinating conjunction (", and") correctly joins two independent clauses. A comma alone creates a comma splice, the comma after "and" is misplaced, and a comma after "game" separates the subject from its verb without fixing the run-on.
Which sentence is capitalized correctly?
- A.Last summer we visited Grand canyon national park.
- B.last summer we visited Grand Canyon National Park.
- C.Last summer we visited Grand Canyon National Park.
- D.Last Summer we visited Grand Canyon National Park.
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Correct answer: Last summer we visited Grand Canyon National Park.
Correct answer: Last summer we visited Grand Canyon National Park. The full name of a specific park is a proper noun, so each word is capitalized, and the first word of the sentence is capitalized. Seasons such as summer are not capitalized, and the other options either lowercase parts of the park's name or the first word of the sentence.
Which word is spelled correctly?
- A.separete
- B.separate
- C.seperate
- D.seperete
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Correct answer: separate
Correct answer: separate. The correct spelling is s-e-p-a-r-a-t-e, with "par" in the middle. The other three are common misspellings that replace one or both a's with e's.
Which sentence uses commas correctly in a series?
- A.We need flour, sugar, eggs and, butter for the cake.
- B.We need flour sugar, eggs, and butter for the cake.
- C.We need, flour, sugar, eggs, and butter for the cake.
- D.We need flour, sugar, eggs, and butter for the cake.
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Correct answer: We need flour, sugar, eggs, and butter for the cake.
Correct answer: We need flour, sugar, eggs, and butter for the cake. Commas separate each item in a series, with the final comma before "and" (the serial comma) accepted in standard usage. The other options leave out a needed comma, put a comma after the verb, or put a comma after "and" instead of before it.
Which sentence uses the apostrophe correctly?
- A.The teachers' lounge is on the second floor.
- B.The teacher's are meeting on the second floor.
- C.The teachers lounge' is on the second floor.
- D.The teacher's' lounge is on the second floor.
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Correct answer: The teachers' lounge is on the second floor.
Correct answer: The teachers' lounge is on the second floor. The lounge belongs to several teachers, so the plural possessive "teachers'" is correct. "Teacher's are" uses an apostrophe to form a plural, "lounge'" puts the apostrophe on the wrong word, and "teacher's'" is not a valid form.
Which word correctly completes the sentence: "The new schedule will ___ every student in the school"?
- A.effects
- B.effect
- C.affection
- D.affect
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Correct answer: affect
Correct answer: affect. "Affect" is the verb meaning to influence, which fits after "will." "Effect" is usually a noun (a result), "effects" is its plural, and "affection" means fondness.
Which sentence uses the correct pronoun case?
- A.The coach gave the awards to Maya and I.
- B.The coach gave the awards to I and Maya.
- C.The coach gave the awards to Maya and me.
- D.The coach gave the awards to Maya and myself.
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Correct answer: The coach gave the awards to Maya and me.
Correct answer: The coach gave the awards to Maya and me. After the preposition "to," the objective case "me" is required; removing "Maya and" confirms it ("gave the awards to me"). "I" is the subjective case and is incorrect as an object, and the reflexive "myself" is used only when the subject is also "I" ("I gave myself a break").
Which sentence has correct parallel structure?
- A.She likes to hike, swimming, and biking.
- B.She likes hiking, swimming, and biking.
- C.She likes hiking, to swim, and to biking.
- D.She likes hiking, swimming, and to bike.
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Correct answer: She likes hiking, swimming, and biking.
Correct answer: She likes hiking, swimming, and biking. Items in a series should share the same grammatical form; "hiking, swimming, and biking" are all -ing forms. The other choices mix -ing forms with infinitives (to bike, to hike, to swim), and "to biking" is not a standard form.
Which sentence contains a misplaced modifier?
- A.Running to the bus, my backpack fell open.
- B.My backpack fell open as I ran to the bus.
- C.As I ran to the bus, I dropped my backpack.
- D.Running to the bus, I dropped my backpack.
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Correct answer: Running to the bus, my backpack fell open.
Correct answer: Running to the bus, my backpack fell open. "Running to the bus" should describe the person running, but it is placed next to "my backpack," which cannot run, so the modifier dangles. In the other three sentences the running is clearly done by "I."
Which sentence uses "fewer" or "less" correctly?
- A.There were less chairs in the room than there were before.
- B.There were fewer students absent today than yesterday.
- C.There was fewer water in the tank than there was before.
- D.There were less students absent today than yesterday.
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Correct answer: There were fewer students absent today than yesterday.
Correct answer: There were fewer students absent today than yesterday. "Fewer" is used with things that can be counted (students), and "less" with amounts that cannot (water). Two choices use "less" with countable nouns, and one uses "fewer" with the uncountable noun "water."
Which sentence uses quotation marks and punctuation correctly?
- A."Please line up by the door", said Mr. Park.
- B."Please line up by the door." said Mr. Park.
- C."Please line up by the door," said Mr. Park.
- D.Please line up by the door, "said Mr. Park."
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Correct answer: "Please line up by the door," said Mr. Park.
Correct answer: "Please line up by the door," said Mr. Park. In American usage a comma that ends a quoted statement goes inside the closing quotation mark, followed by the speaker tag. Placing the comma outside, ending the quotation with a period before a tag, or quoting the speaker tag instead of the spoken words are all incorrect.
Which sentence uses the correct verb tense?
- A.Yesterday, Ana walked to the store and bought milk.
- B.Yesterday, Ana will walk to the store and buy milk.
- C.Yesterday, Ana walked to the store and buys milk.
- D.Yesterday, Ana walks to the store and bought milk.
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Correct answer: Yesterday, Ana walked to the store and bought milk.
Correct answer: Yesterday, Ana walked to the store and bought milk. "Yesterday" signals the past, so both verbs should be in the past tense: walked and bought. The other choices shift tense within the sentence or use the future tense for a past event.
Which word correctly completes the sentence: "This year's science fair was even bigger ___ last year's"?
- A.from
- B.that
- C.than
- D.then
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Correct answer: than
Correct answer: than. "Than" is used for comparisons (bigger than). "Then" refers to time, and "that" and "from" do not form a comparison after "bigger" in standard English.
Which sentence is correct?
- A.Neither the teacher nor the students was ready for the drill.
- B.Neither the teacher or the students were ready for the drills.
- C.Neither the teacher nor the students were ready for the drill.
- D.Neither the teacher nor the students is ready for the drills.
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Correct answer: Neither the teacher nor the students were ready for the drill.
Correct answer: Neither the teacher nor the students were ready for the drill. With "neither ... nor," the verb agrees with the nearer subject, "students," which is plural, so "were" is correct. "Was" and "is" are singular, and "neither" pairs with "nor," not "or."
Which sentence uses a colon correctly?
- A.Bring three things to class a pencil: a ruler, and paper.
- B.Bring three things to: class a pencil, a ruler, and paper.
- C.Bring: three things to class a pencil, a ruler, and paper.
- D.Bring three things to class: a pencil, a ruler, and paper.
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Correct answer: Bring three things to class: a pencil, a ruler, and paper.
Correct answer: Bring three things to class: a pencil, a ruler, and paper. A colon follows a complete independent clause and introduces a list, as in "Bring three things to class: ..." The other choices place the colon inside the clause or in the middle of the list, where it breaks the sentence.
Which sentence uses "who" or "whom" correctly?
- A.Whom is going to address this letter?
- B.To whom should I address this letter?
- C.To who should I address this letter?
- D.Who should I give this letter to whom?
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Correct answer: To whom should I address this letter?
Correct answer: To whom should I address this letter? "Whom" is the object form and is used after a preposition such as "to." "To who" uses the subject form as an object, "Whom is going" uses the object form as a subject, and the last choice uses both words and is ungrammatical.
Which sentence avoids a double negative?
- A.I don't hardly have homework today.
- B.I don't have any homework tonight.
- C.I don't have no homework tonight.
- D.I haven't got no homework tonight.
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Correct answer: I don't have any homework tonight.
Correct answer: I don't have any homework tonight. "Don't" plus "any" expresses the negative once. "Don't ... no," "haven't ... no," and "don't hardly" each stack two negatives, which standard English avoids.
Which sentence correctly uses a comma after an introductory phrase?
- A.After the long assembly the students, returned to class.
- B.After, the long assembly the students returned to class.
- C.After the long, assembly the students returned to class.
- D.After the long assembly, the students returned to class.
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Correct answer: After the long assembly, the students returned to class.
Correct answer: After the long assembly, the students returned to class. A comma follows an introductory phrase such as "After the long assembly" and separates it from the main clause. The other choices place the comma between the subject and verb, after the first word, or inside the phrase.
Which sentence uses "to," "too," and "two" correctly?
- A.The to girls went two the zoo, and their brother came too.
- B.The two girls went too the zoo, and their brother came to.
- C.The too girls went to the zoo, and their brother came two.
- D.The two girls went to the zoo, and their brother came too.
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Correct answer: The two girls went to the zoo, and their brother came too.
Correct answer: The two girls went to the zoo, and their brother came too. "Two" is the number, "to" is the preposition showing direction, and "too" means also. Each of the other sentences puts at least two of the words in the wrong place.
Which sentence has correct pronoun-antecedent agreement?
- A.The teams celebrated its first win of the season.
- B.The team celebrate its first win of the season.
- C.The team celebrated it's first win of the season.
- D.The team celebrated its first win of the season.
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Correct answer: The team celebrated its first win of the season.
Correct answer: The team celebrated its first win of the season. "Team" acting as one unit is a singular noun, so the singular possessive "its" agrees with it. "Teams ... its" pairs a plural noun with a singular pronoun, "it's" means "it is," and "The team celebrate" uses a plural verb with a singular subject.
A paragraph about the benefits of school gardens includes this sentence: "My cousin has a red bicycle." How should the writer revise the paragraph?
- A.Move the sentence to the start of the paragraph.
- B.Add more details about the cousin's red bicycle.
- C.Keep it, since every paragraph needs one example.
- D.Delete the sentence because it is off topic.
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Correct answer: Delete the sentence because it is off topic.
Correct answer: Delete the sentence because it is off topic. A coherent paragraph keeps every sentence on its topic, and a cousin's bicycle has nothing to do with school gardens, so the sentence should be deleted. Moving it or expanding it keeps the unrelated idea, and an off-topic sentence is not a useful example.
Which sentence would be the best topic sentence for a paragraph about ways to save water at home?
- A.Many people at home enjoy drinking water with meals.
- B.Families can save water at home with a few simple habits.
- C.My family saved up for a trip to a lake last summer.
- D.Most homes get their water from a city water plant.
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Correct answer: Families can save water at home with a few simple habits.
Correct answer: Families can save water at home with a few simple habits. A topic sentence states the paragraph's focus, and "Families can save water at home with a few simple habits" sets up a paragraph listing those habits. The other sentences are about where home water comes from, a trip, or drinking water, none of which introduces ways to save water.
Which transition best connects these sentences: "Maria studied every night for a week. ___, she earned the highest score in the class"?
- A.For instance
- B.In contrast
- C.Consequently
- D.Nevertheless
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Correct answer: Consequently
Correct answer: Consequently. The high score followed from the studying, so a cause-and-effect transition, "Consequently," makes the connection clear. "In contrast" and "Nevertheless" signal opposition, and "For instance" introduces an example.
A student's paragraph lists the steps for planting a seed, but the steps are out of order. What is the best revision?
- A.Put the steps in time order using first and next.
- B.Combine all of the steps into one very long sentence.
- C.Add more steps so the paragraph becomes a lot longer.
- D.Remove the steps and just describe how the seed looks.
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Correct answer: Put the steps in time order using first and next.
Correct answer: Put the steps in time order using first and next. A how-to paragraph is clearest when the steps appear in chronological order with transitions such as first and next. Adding length, cramming the steps into one sentence, or removing the steps would not fix the organization.
Which revision makes this sentence more concise: "Due to the fact that it was raining, the game was postponed until a later time"?
- A.It was raining, and due to that the game was postponed.
- B.Because it was raining, the game was postponed.
- C.Raining, the game was postponed.
- D.Because of the fact that it rained, the game was later.
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Correct answer: Because it was raining, the game was postponed.
Correct answer: Because it was raining, the game was postponed. "Because" replaces the wordy "due to the fact that," and "postponed" already means moved to a later time, so "until a later time" can be cut. "Raining, the game was postponed" is shorter but makes the game the thing that was raining (a dangling modifier), and the other revisions keep wordy phrases or change the meaning.
Which sentence is most appropriate in style for a formal letter to a school principal?
- A.I am writing to request a meeting on my son's schedule.
- B.Gotta chat with you ASAP about my son's crazy schedule.
- C.Hey, can we talk about my kid's schedule sometime soon?
- D.So, like, my son's schedule is kind of a mess now.
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Correct answer: I am writing to request a meeting on my son's schedule.
Correct answer: I am writing to request a meeting on my son's schedule. A formal letter uses complete sentences, precise words, and no slang, as in "I am writing to request a meeting." The other choices use casual greetings, filler words, or slang such as "gotta" and "ASAP."
Which sentence best concludes a paragraph arguing that students should have a longer lunch period?
- A.Some students also eat breakfast before the first bell rings.
- B.Many students like pizza more than they like the other lunches.
- C.The lunch period at our school was set in 1975 and never changed.
- D.A longer lunch would help students eat well and return ready to learn.
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Correct answer: A longer lunch would help students eat well and return ready to learn.
Correct answer: A longer lunch would help students eat well and return ready to learn. An effective conclusion restates the argument and its benefit, which the sentence about eating well and returning ready to learn does. Breakfast habits, the history of the lunch schedule, and food preferences are details, not a conclusion that wraps up the argument for a longer lunch.
Which sentence contains a vague pronoun that makes the writing unclear?
- A.Jen talked to Kate and said that the test was hard.
- B.When Jen talked to Kate, Jen said the test was hard.
- C.When Jen talked to Kate, she said the test was hard.
- D.Kate listened as Jen explained the test was hard.
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Correct answer: When Jen talked to Kate, she said the test was hard.
Correct answer: When Jen talked to Kate, she said the test was hard. In "When Jen talked to Kate, she said the test was hard," "she" could refer to either Jen or Kate. The other sentences make it clear that Jen is the speaker.
Which choice best combines the sentences "The library is quiet. The library has comfortable chairs." without repetition?
- A.The library is quiet, and the library, has comfortable chairs.
- B.The library is quiet, the library has comfortable chairs.
- C.The library is quiet and has comfortable chairs.
- D.The quiet library has chairs.
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Correct answer: The library is quiet and has comfortable chairs.
Correct answer: The library is quiet and has comfortable chairs. Joining the two predicates with "and" removes the repeated subject: "The library is quiet and has comfortable chairs." The second choice is a comma splice that keeps the repetition, the third adds a stray comma, and "The quiet library has chairs" is shorter but drops the detail that the chairs are comfortable.
A student writes an essay with a strong introduction and body but no conclusion. What is the most helpful suggestion?
- A.Add a closing paragraph that sums up the main points.
- B.Add a new topic to the end to make the essay longer.
- C.Delete the introduction so the essay feels balanced.
- D.Repeat the first body paragraph at the very end.
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Correct answer: Add a closing paragraph that sums up the main points.
Correct answer: Add a closing paragraph that sums up the main points. A developed essay needs a conclusion that ties its points together. Adding an unrelated topic, cutting the introduction, or repeating a body paragraph word for word would weaken the organization.
Which sentence best supports the topic sentence "Dogs can be trained to help people in many ways"?
- A.Dogs come in many different sizes, shapes, and colors.
- B.The first dog show in the U.S. was held in the 1870s.
- C.Some dogs like to sleep for most of the afternoon hours.
- D.Guide dogs help people who are blind cross busy streets.
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Correct answer: Guide dogs help people who are blind cross busy streets.
Correct answer: Guide dogs help people who are blind cross busy streets. The topic sentence is about trained dogs helping people, and guide dogs helping blind people cross streets is a direct example. Size and color, sleeping habits, and dog-show history do not show dogs helping people.
Which word best replaces "stuff" to make this sentence more precise: "The science kit included a lot of stuff"?
- A.junk
- B.things
- C.equipment
- D.items
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Correct answer: equipment
Correct answer: equipment. "Equipment" names what a science kit contains precisely and in a formal register. "Things" and "items" are nearly as vague as "stuff," and "junk" is informal and negative.
A student is making a web of ideas before starting a report. Which stage of the writing process is this?
- A.publishing the work
- B.planning (prewriting)
- C.editing the draft
- D.revising the draft
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Correct answer: planning (prewriting)
Correct answer: planning (prewriting). Brainstorming with a web happens before drafting, in the planning or prewriting stage. Revising and editing improve an existing draft, and publishing shares a finished piece.
What is the main difference between revising and editing?
- A.Revising happens before drafting; editing happens during it.
- B.Revising fixes spelling; editing adds new ideas to a draft.
- C.Revising is done by teachers; editing is done by students.
- D.Revising improves ideas and order; editing fixes errors.
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Correct answer: Revising improves ideas and order; editing fixes errors.
Correct answer: Revising improves ideas and order; editing fixes errors. Revising changes content and organization (ideas, order, clarity), while editing corrects conventions such as spelling, grammar, and punctuation. The second choice reverses the two, revising follows drafting rather than preceding it, and either one can be done by students or teachers.
A student has finished a first draft and wants to make the essay's argument clearer. What should the student do next?
- A.Publish the essay right away so others can read it.
- B.Brainstorm a brand-new topic for the same assignment.
- C.Revise by reordering and strengthening its points.
- D.Edit only the spelling, then turn it in as it stands.
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Correct answer: Revise by reordering and strengthening its points.
Correct answer: Revise by reordering and strengthening its points. Making an argument clearer is a revising task: reorganizing and strengthening points. Publishing skips improvement, starting over abandons the draft, and fixing spelling alone does not clarify the argument.
A paraeducator is helping a student who says, "I don't know what to write about." Which support is most appropriate?
- A.Write the first paragraph for the student to copy down.
- B.Tell the student to start writing and fix it all later.
- C.Ask about the student's interests to brainstorm ideas.
- D.Give the student a finished essay to use as the draft.
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Correct answer: Ask about the student's interests to brainstorm ideas.
Correct answer: Ask about the student's interests to brainstorm ideas. A student stuck at the start needs help in the planning stage, and asking about interests helps them generate their own ideas. Writing the paragraph or supplying an essay does the work for the student, and telling them just to start does not address the lack of ideas.
Which activity belongs to the drafting stage of the writing process?
- A.turning an outline's ideas into sentences
- B.sharing the finished piece on a class website
- C.checking the final copy for spelling mistakes
- D.listing possible topics in a brainstorming web
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Correct answer: turning an outline's ideas into sentences
Correct answer: turning an outline's ideas into sentences. Drafting turns planned ideas into sentences and paragraphs. Checking spelling is editing, listing topics is planning, and sharing a finished piece is publishing.
During a peer review, a student tells a partner, "Your second paragraph would be clearer if it came first." What kind of feedback is this?
- A.revision feedback about organization
- B.publishing feedback about page design
- C.planning feedback about choosing a topic
- D.editing feedback about punctuation
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Correct answer: revision feedback about organization
Correct answer: revision feedback about organization. Suggesting that a paragraph be moved is feedback on organization, which belongs to revising. It is not about punctuation (editing), choosing a topic (planning), or page layout (publishing).
A student's draft has good ideas but many run-on sentences and spelling errors. Under the teacher's direction, how should a paraeducator help during editing?
- A.Point to a run-on and ask the student how to fix it.
- B.Ignore the errors, since the ideas are already very good.
- C.Tell the student the ideas need to be completely changed.
- D.Rewrite each sentence correctly for the student's draft.
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Correct answer: Point to a run-on and ask the student how to fix it.
Correct answer: Point to a run-on and ask the student how to fix it. Guiding the student to find and fix errors builds the student's own editing skill. Rewriting the sentences does the work for the student, the ideas are already good and do not need to change, and ignoring errors skips the editing stage.
Which order shows the stages of the writing process?
- A.plan, draft, revise, edit, publish
- B.plan, edit, draft, publish, revise
- C.revise, plan, draft, edit, publish
- D.draft, plan, edit, publish, revise
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Correct answer: plan, draft, revise, edit, publish
Correct answer: plan, draft, revise, edit, publish. Writers plan (prewrite), draft, revise the content, edit for conventions, and then publish. The other orders put editing or revising before drafting, or planning after drafting; in practice writers may loop back, but the stages build in this sequence.
A student writes a story and then adds dialogue to make a scene more vivid. Which stage is the student in?
- A.revising
- B.publishing
- C.editing
- D.planning
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Correct answer: revising
Correct answer: revising. Adding dialogue to strengthen a scene changes the content, which is revising. Planning comes before a draft exists, editing corrects conventions, and publishing shares the finished work.
Why is an outline useful during the planning stage?
- A.It organizes main ideas and details before drafting.
- B.It replaces the need to write a draft of the essay.
- C.It checks the essay for spelling and grammar errors.
- D.It makes the final essay shorter than it was before.
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Correct answer: It organizes main ideas and details before drafting.
Correct answer: It organizes main ideas and details before drafting. An outline arranges main ideas and supporting details in order, which makes drafting easier and more organized. It does not check conventions, does not replace the draft, and is not meant to shorten the essay.
A student reads a draft aloud and notices one sentence sounds confusing. Rewording the sentence so its meaning is clear is an example of
- A.editing for spelling
- B.revising for clarity
- C.planning for a topic
- D.publishing for readers
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Correct answer: revising for clarity
Correct answer: revising for clarity. Rewording a sentence so its meaning is clear improves the content's clarity, which is revising. Spelling corrections are editing, topic selection is planning, and publishing shares the final piece.
Which question would help a student during the revising stage?
- A.Does each paragraph support my main idea?
- B.What topics could I choose to write about?
- C.Which color paper should the final copy use?
- D.Did I spell every word in my title right?
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Correct answer: Does each paragraph support my main idea?
Correct answer: Does each paragraph support my main idea? Checking whether each paragraph supports the main idea evaluates content and organization, the focus of revising. Spelling is an editing question, paper color is a publishing detail, and choosing a topic is planning.
A student is researching the causes of asthma. Which source is most credible?
- A.an article on a .gov health agency website
- B.a post on a popular social media account
- C.a tabloid story about a celebrity's asthma
- D.a personal blog about one family's allergies
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Correct answer: an article on a .gov health agency website
Correct answer: an article on a .gov health agency website. Government health agency sites (.gov) publish reviewed information from experts, which makes them credible. Social media posts, personal blogs, and tabloids are the noncredible source types ETS names: they are usually not reviewed and may reflect opinion or sensationalism.
Which feature most strongly suggests that a website is a reliable source?
- A.a large number of likes and shares
- B.bright colors and many pop-up ads on it
- C.a catchy title written in all capitals
- D.a named expert author and a recent date
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Correct answer: a named expert author and a recent date
Correct answer: a named expert author and a recent date. A named, qualified author and a recent publication date let a reader check who wrote the information and whether it is current. Design, popularity, and a catchy title say nothing about accuracy.
Which source would be best for a report on how bees pollinate crops?
- A.a friend's text message about a bee sting
- B.an advertisement for a honey company's products
- C.a journal article by agricultural scientists
- D.a video comment by an anonymous viewer online
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Correct answer: a journal article by agricultural scientists
Correct answer: a journal article by agricultural scientists. A journal article written by agricultural scientists is reviewed research on the topic, which makes it credible. An anonymous comment cannot be checked, an advertisement is written to sell, and a text message about a sting is off topic and informal.
A student finds a claim on a blog that has no author, no date, and no sources. What should the student do?
- A.Use the claim, since blogs are always accurate.
- B.Copy the claim word for word into the report.
- C.Check the claim against a credible source first.
- D.Cite the blog as the report's most important source.
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Correct answer: Check the claim against a credible source first.
Correct answer: Check the claim against a credible source first. Information with no author, date, or sources cannot be verified, so it should be checked against a credible source such as a journal article or an .edu or .gov site. Blogs are not always accurate, and copying or relying on an unverified claim would weaken the report.
Which of the following is generally the most credible source for a research paper?
- A.a social media post shared by many people
- B.a peer-reviewed academic journal article
- C.an anonymous comment posted under a video
- D.a tabloid article with a shocking headline
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Correct answer: a peer-reviewed academic journal article
Correct answer: a peer-reviewed academic journal article. Peer-reviewed journal articles are checked by experts before publication, making them highly credible. Tabloids, widely shared posts, and anonymous comments are not reviewed and cannot be verified.
Why might a website ending in .edu be more credible than a personal blog?
- A.It is always written by students for students.
- B.It always has more pictures than other sites.
- C.It never contains any mistakes of any kind.
- D.It is usually run by a school or university.
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Correct answer: It is usually run by a school or university.
Correct answer: It is usually run by a school or university. The .edu domain is typically used by educational institutions, which usually have review processes and expert authors. It does not guarantee more pictures, student authorship, or perfect accuracy, so readers should still check dates and authors.
A student is writing about a new law. Which source would give the most accurate wording of the law?
- A.a video posted by a stranger explaining it
- B.a discussion thread on a public online forum
- C.a news commentator's opinion column online
- D.the state government's official .gov website
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Correct answer: the state government's official .gov website
Correct answer: the state government's official .gov website. The official .gov site publishes the law's actual text, which is the most accurate source for its wording. An opinion column, a forum thread, and a stranger's video interpret or summarize the law and may be inaccurate.
Which question best helps a student evaluate whether an online source is credible?
- A.Does this page agree with what I already believe?
- B.Is this the first result the search engine shows?
- C.Who wrote this, and what makes them an expert?
- D.Does this page have a lot of colorful pictures?
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Correct answer: Who wrote this, and what makes them an expert?
Correct answer: Who wrote this, and what makes them an expert? Asking who wrote the source and what qualifies them to write it is a core credibility check. Pictures, search ranking, and agreement with one's own beliefs do not show that information is accurate.
A paraeducator is helping a student choose sources for a report on sharks. Which pair of sources is most credible?
- A.an anonymous forum and a comic about sharks
- B.a movie about sharks and a fan blog all about it
- C.a celebrity's post and a tabloid shark story
- D.a university marine lab and a science journal
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Correct answer: a university marine lab and a science journal
Correct answer: a university marine lab and a science journal. A university marine laboratory site (.edu) and a science journal are expert, reviewed sources. Celebrity posts, tabloids, movies, fan blogs, anonymous forums, and comics are not reliable sources for factual research.
A news website article includes the reporter's name, quotes from two named experts, and links to a government study. These features suggest the article is
- A.certain to be completely biased
- B.less credible than a personal blog
- C.more likely to be reliable
- D.written only to entertain readers
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Correct answer: more likely to be reliable
Correct answer: more likely to be reliable. A named reporter, named experts, and links to an official study all allow a reader to verify the information, signs of a reliable source. They do not prove bias, the article is informational rather than entertainment, and they make it more credible than an unsourced blog.
Which statement about print sources is most accurate?
- A.Print sources also need to be checked carefully.
- B.Print sources are never used in any research papers.
- C.Only printed sources can ever be called reliable.
- D.Every printed source is automatically credible.
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Correct answer: Print sources also need to be checked carefully.
Correct answer: Print sources also need to be checked carefully. ETS names both print and digital sources, and each must be evaluated; a printed tabloid is no more credible than an online one. Being printed does not make a source credible, print sources are widely used in research, and digital sources such as .gov sites can be reliable.
A student uses another writer's idea but puts it entirely in her own words. What must she still do?
- A.Copy the original sentence into a footnote.
- B.Nothing, since the words are now her own.
- C.Put the new sentence inside quotation marks.
- D.Credit the original source with a citation.
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Correct answer: Credit the original source with a citation.
Correct answer: Credit the original source with a citation. Paraphrasing changes the words, but the idea still belongs to the original author, so it must be credited with a citation. Quotation marks are only for exact words, leaving out credit is plagiarism, and copying the original sentence into a footnote is not required.
Which is the correct way to include a short direct quotation in an essay?
- A.Put the exact words in quotation marks and cite the source.
- B.Put the source's name in quotation marks and not the words.
- C.Change a few of the words and leave out the source's name.
- D.Use the exact words without quotation marks or a citation.
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Correct answer: Put the exact words in quotation marks and cite the source.
Correct answer: Put the exact words in quotation marks and cite the source. A direct quotation reproduces the author's exact words, which go inside quotation marks, followed by a citation. Changing words without credit, using exact words without marks, or quoting the name instead of the words are all incorrect.
When is a block quotation typically used?
- A.when quoting a single word from the source
- B.when paraphrasing a source in one's own words
- C.when listing sources at the end of a paper
- D.when quoting a long passage of several lines
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Correct answer: when quoting a long passage of several lines
Correct answer: when quoting a long passage of several lines. Style guides set long quotations (typically more than about four lines) off as an indented block without quotation marks. Single words are quoted inline, paraphrases are not quotations at all, and a reference list is separate from quotations.
Which sentence is the best paraphrase of: "Regular exercise improves mood and reduces stress in teenagers" (Lee, 2020)?
- A.Regular exercise improves mood and reduces stress in teenagers (Lee, 2020).
- B.Exercise is fun, and teenagers should try every sport they possibly can.
- C.Lee (2020) found that teens who exercise often feel happier and calmer.
- D.Lee (2020) found that teenagers who exercise have more homework to do.
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Correct answer: Lee (2020) found that teens who exercise often feel happier and calmer.
Correct answer: Lee (2020) found that teens who exercise often feel happier and calmer. A good paraphrase keeps the original meaning, uses new wording, and credits the source. Repeating the sentence word for word without quotation marks is not a paraphrase, the sports advice adds an idea Lee did not state, and the homework claim changes the meaning.
What is the main purpose of an in-text citation?
- A.to make the essay's paragraphs look more organized
- B.to show readers where the information came from
- C.to replace the need for a reference list at the end
- D.to show readers how long the full essay is overall
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Correct answer: to show readers where the information came from
Correct answer: to show readers where the information came from. An in-text citation identifies the source of a specific quotation or idea at the point where it is used. It does not show length or organize paragraphs, and it points to the full entry in the reference list rather than replacing it.
A student writes: The author says the town "changed forever after the flood." What does the student need to add?
- A.a new sentence that repeats the quote in different words
- B.a citation that identifies the source of the quotation
- C.a second set of quotation marks around the whole sentence
- D.a title for the paragraph above the quoted sentence
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Correct answer: a citation that identifies the source of the quotation
Correct answer: a citation that identifies the source of the quotation. Quoted words need a citation telling the reader where they came from. The quotation is already marked correctly, repeating it in other words is optional, and a paragraph title is not part of citing evidence.
Which choice correctly uses evidence from a story to support the claim that the main character is brave?
- A.Many readers say they think that Nia is the best character they know.
- B.The story is about Nia, who lives in a small town near the old mill.
- C.Nia is brave because brave people often do very heroic things in life.
- D.When Nia hears the cry, she "runs straight into the smoke" to help.
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Correct answer: When Nia hears the cry, she "runs straight into the smoke" to help.
Correct answer: When Nia hears the cry, she "runs straight into the smoke" to help. Quoting the moment Nia "runs straight into the smoke" gives specific text evidence of bravery. Circular reasoning, a setting summary, and readers' opinions do not come from the story as evidence of the trait.
A student copies three sentences from a website into a report without quotation marks or a citation. What is the problem?
- A.It makes the report too short for the assignment given.
- B.It presents another writer's words as the student's own.
- C.It uses a website instead of a printed book as a source.
- D.It places too many citations in one single paragraph.
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Correct answer: It presents another writer's words as the student's own.
Correct answer: It presents another writer's words as the student's own. Using someone's exact words without quotation marks or credit is plagiarism because it presents them as the student's own. Length is not the issue, websites can be valid sources, and the problem is a missing citation, not too many.
When is paraphrasing a better choice than quoting directly?
- A.when the passage is a famous line that readers will know
- B.when the author's exact wording is memorable or powerful
- C.when the student wants to avoid citing the original source
- D.when the idea matters more than the author's exact wording
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Correct answer: when the idea matters more than the author's exact wording
Correct answer: when the idea matters more than the author's exact wording. Paraphrasing works well when the idea is what matters and the student can state it clearly in new words; it still requires a citation. Memorable or famous wording is usually better quoted directly, and paraphrasing never removes the need to cite.
A student quotes a passage but leaves out some words in the middle. Which punctuation mark shows the omission?
- A.a colon (:)
- B.an em dash (—)
- C.a semicolon (;)
- D.an ellipsis (…)
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Correct answer: an ellipsis (…)
Correct answer: an ellipsis (…). An ellipsis, three spaced or unspaced periods, shows that words have been omitted from a quotation. Semicolons, colons, and em dashes have other uses and do not signal omitted words.
Which choice is a claim in an argumentative essay?
- A.The band concert is scheduled for May 5.
- B.Schools should offer more music classes.
- C.The school has three music teachers now.
- D.Music class meets twice each school week.
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Correct answer: Schools should offer more music classes.
Correct answer: Schools should offer more music classes. A claim is a debatable position the writer argues for, such as "Schools should offer more music classes." The other choices are facts that can be checked and could serve as evidence, but they are not arguable positions.
An essay argues that the city should plant more trees. Which evidence would best support the argument?
- A.A city study found tree-lined streets were 8 degrees cooler.
- B.Some trees in the city park are more than one hundred years old.
- C.Trees are plants that grow leaves and have roots underground.
- D.The writer thinks trees look very nice on most city streets.
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Correct answer: A city study found tree-lined streets were 8 degrees cooler.
Correct answer: A city study found tree-lined streets were 8 degrees cooler. A study showing cooler temperatures on tree-lined streets is relevant, measurable evidence for planting more trees. The writer's taste is opinion, the age of park trees is unrelated to planting more, and a definition of trees supports nothing.
Which choice best explains the role of reasoning in an argument?
- A.It lists sources in the order they were found.
- B.It explains how the evidence supports the claim.
- C.It repeats the claim several times for emphasis.
- D.It adds new facts that are not about the claim.
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Correct answer: It explains how the evidence supports the claim.
Correct answer: It explains how the evidence supports the claim. Reasoning connects evidence to the claim, explaining why the evidence proves the point. Repeating the claim is not reasoning, listing sources is documentation, and unrelated facts weaken an argument.
A writer argues, "Everyone should use our study app because a famous singer uses it." What is the weakness in this argument?
- A.The claim is stated far too clearly in the sentence.
- B.A celebrity's use is no evidence that the app works.
- C.The writer quotes an expert on learning and memory.
- D.The writer uses too many statistics in the argument.
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Correct answer: A celebrity's use is no evidence that the app works.
Correct answer: A celebrity's use is no evidence that the app works. A famous singer using the app says nothing about whether it helps students study; this is an appeal to celebrity, not evidence. The argument has no statistics or expert quotations, and a clearly stated claim is a strength, not a weakness.
Which is an example of expert testimony used as evidence?
- A.A parent posts that his kids love the new playground.
- B.A student says that recess is her favorite subject.
- C.A neighbor says that children seem to play less now.
- D.A pediatrician states that children need daily play.
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Correct answer: A pediatrician states that children need daily play.
Correct answer: A pediatrician states that children need daily play. Expert testimony comes from someone with professional knowledge, such as a pediatrician speaking about children's health. A neighbor, a student, and a parent are sharing personal observations or preferences, not expert judgment.
An essay claims that a later school start would help students, and it includes this sentence: "Some people argue that a later start would complicate bus schedules." What is this sentence?
- A.a counterclaim the writer should respond to
- B.the essay's main claim restated in new words
- C.a conclusion that summarizes the whole essay
- D.a statistic that supports the essay's claim
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Correct answer: a counterclaim the writer should respond to
Correct answer: a counterclaim the writer should respond to. A statement of the opposing view is a counterclaim; strong arguments acknowledge and respond to it. It does not restate the writer's claim, it contains no statistic, and it is not a summary.
Which evidence would be most convincing in an argument that the school should install water bottle fillers?
- A.Many people believe that drinking water is important for good health.
- B.Water bottle fillers come in several colors and sizes from many brands.
- C.Students bought 40 percent fewer plastic bottles where fillers went in.
- D.The writer's best friend says she is thirsty after gym class sometimes.
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Correct answer: Students bought 40 percent fewer plastic bottles where fillers went in.
Correct answer: Students bought 40 percent fewer plastic bottles where fillers went in. A 40 percent drop in plastic bottle purchases where fillers were added directly shows a measurable benefit. One friend's thirst is an anecdote, color choices are irrelevant, and a general belief is not specific evidence.
A writer supports the claim "Reading at home improves test scores" with this sentence: "My sister reads every night." Why is this weak evidence?
- A.It says nothing about whether her scores improved.
- B.It is too long to include inside a single paragraph.
- C.It is a direct quote from a well-known reading expert.
- D.It includes a statistic from a large national study.
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Correct answer: It says nothing about whether her scores improved.
Correct answer: It says nothing about whether her scores improved. The sentence shows only that the sister reads; it gives no information about test scores, so it does not support the claim. It is not an expert quote or a statistic, and its length is not the problem.
Which sentence uses a statistic to support an argument?
- A.Lunch should be longer because students need much more time to eat.
- B.Everyone knows that a longer lunch is better for all students.
- C.Nearly 70 percent of students surveyed said lunch is too short.
- D.Students often say that lunch is not long enough to eat well.
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Correct answer: Nearly 70 percent of students surveyed said lunch is too short.
Correct answer: Nearly 70 percent of students surveyed said lunch is too short. "Nearly 70 percent of students surveyed" is a statistic, a numerical fact from data. The other choices are a general observation, a claim with reasoning, and an unsupported generalization.
A paraeducator is helping a student strengthen a persuasive paragraph. Which suggestion best follows the teacher's lesson on evidence?
- A.Add more exclamation points so it sounds exciting.
- B.Repeat your opinion three times in the last line.
- C.Add a fact or example that backs up your point.
- D.Remove your main point so readers can decide it.
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Correct answer: Add a fact or example that backs up your point.
Correct answer: Add a fact or example that backs up your point. Persuasive writing is strengthened by relevant evidence such as facts and examples. Exclamation points and repetition add emphasis but not support, and removing the main point leaves the paragraph with nothing to argue.
An author argues that a new park is needed and cites a survey of 500 residents in which 82 percent want one. This evidence is strong mainly because it is
- A.relevant, specific, and from many people
- B.short, simple, and written in a funny style
- C.old, general, and taken from another town
- D.emotional, dramatic, and based on one story
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Correct answer: relevant, specific, and from many people
Correct answer: relevant, specific, and from many people. A survey of 500 residents is directly related to the claim, gives a specific number, and represents many people, which makes it strong. It is not emotional or based on one story, humor is not a strength of evidence, and nothing suggests the data are old or from another town.
In an informational article, what is the main purpose of headings?
- A.to divide the text into sections and preview topics
- B.to show the reader which words are spelled correctly
- C.to make the article longer by adding extra sentences
- D.to list every source the author used in the article
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Correct answer: to divide the text into sections and preview topics
Correct answer: to divide the text into sections and preview topics. Headings break an informational text into labeled sections so readers can preview and find topics. They do not check spelling, list sources, or add sentences.
A student wants to show readers which words in a report are key vocabulary terms. Which text feature would help most?
- A.a picture on the cover page
- B.bold print for each key term
- C.a page number on every page
- D.a longer title for the report
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Correct answer: bold print for each key term
Correct answer: bold print for each key term. Bold print draws attention to key terms, often with a definition nearby or in a glossary. A longer title, page numbers, and a cover picture do not highlight vocabulary within the text.
Which transition word signals that the writer is adding another example?
- A.Finally
- B.Furthermore
- C.Therefore
- D.However
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Correct answer: Furthermore
Correct answer: Furthermore. "Furthermore" adds information or another example. "However" signals contrast, "therefore" signals a result, and "finally" signals the last item in a sequence.
An article about volcanoes includes a labeled diagram of a volcano's layers. How does the diagram aid comprehension?
- A.It lists the vocabulary words in alphabetical order for readers.
- B.It replaces the article so readers can skip every paragraph.
- C.It shows the parts visually so readers can connect the text.
- D.It gives the author's opinion about volcanoes in a short form.
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Correct answer: It shows the parts visually so readers can connect the text.
Correct answer: It shows the parts visually so readers can connect the text. A labeled diagram shows the layers visually, helping readers link the words in the text to the structure they describe. It supports rather than replaces the text, it is not a glossary, and it presents information, not opinion.
Which text feature would help a reader quickly find the page where a topic is discussed in a nonfiction book?
- A.the glossary
- B.the title page
- C.the index
- D.the dedication
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Correct answer: the index
Correct answer: the index. An index lists topics alphabetically with the page numbers where they appear. A glossary defines terms, the title page gives the title and author, and a dedication honors someone.
A student's report on healthy eating is one long block of text. Which revision would best improve it as an informative text?
- A.Add more opinions about which foods taste good.
- B.Change the report into a poem that rhymes well.
- C.Add headings and a chart comparing food groups.
- D.Remove every fact that includes a number in it.
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Correct answer: Add headings and a chart comparing food groups.
Correct answer: Add headings and a chart comparing food groups. Headings organize the information into sections, and a chart presents comparisons visually, both standard informative text features. Opinions about taste, removing numerical facts, and turning the report into a poem would make it less informative.
What does a caption under a photograph in a textbook usually do?
- A.It gives the book's copyright information.
- B.It lists the chapter's review questions.
- C.It explains what the photograph shows.
- D.It defines every bold word in the chapter.
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Correct answer: It explains what the photograph shows.
Correct answer: It explains what the photograph shows. A caption is a short explanation of an image, telling the reader what it shows and why it matters. Review questions, copyright information, and definitions of bold words appear elsewhere.
In a how-to article, which formatting choice makes the steps easiest to follow?
- A.the steps written in a random order
- B.one long paragraph with all the steps
- C.the steps hidden inside a long footnote
- D.a numbered list of the steps in order
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Correct answer: a numbered list of the steps in order
Correct answer: a numbered list of the steps in order. A numbered list shows each step separately and in sequence, which makes a procedure easy to follow. A single paragraph, a random order, or a footnote would make the steps harder to follow.
Which choice best explains how transition words help readers of informational texts?
- A.They show how one idea connects to the next.
- B.They tell readers which sources are credible.
- C.They replace the need for any main idea at all.
- D.They make every sentence in the text shorter.
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Correct answer: They show how one idea connects to the next.
Correct answer: They show how one idea connects to the next. Transitions such as first, however, and as a result show the relationships between ideas, guiding the reader through the text. They do not shorten sentences, judge sources, or replace the main idea.
In a story, what is the setting?
- A.the sequence of events from beginning to end
- B.the main problem the characters must solve
- C.the lesson or message the author wants to share
- D.the time and place in which the story happens
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Correct answer: the time and place in which the story happens
Correct answer: the time and place in which the story happens. The setting is where and when a story takes place. The main problem is the conflict, the message is the theme, and the sequence of events is the plot.
Which statement best describes the theme of a story?
- A.the most exciting moment in the story
- B.the central message or lesson about life
- C.the place where the story's events occur
- D.the name of the story's main character
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Correct answer: the central message or lesson about life
Correct answer: the central message or lesson about life. The theme is the story's central message or insight about life, such as the value of honesty. The main character's name, the setting, and the climax are other story elements.
In a story, a girl wants to win the spelling bee but is afraid of speaking in front of crowds. This fear is an example of
- A.the story's conflict
- B.the story's theme
- C.the story's resolution
- D.the story's setting
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Correct answer: the story's conflict
Correct answer: the story's conflict. The girl's fear stands between her and her goal, which makes it the conflict. It is not a time or place (setting), not the message of the story (theme), and not the way the problem is solved (resolution).
What is the climax of a story?
- A.the first paragraph that introduces people
- B.the list of characters at the story's start
- C.the final sentence of the story's last page
- D.the turning point, when tension is highest
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Correct answer: the turning point, when tension is highest
Correct answer: the turning point, when tension is highest. The climax is the turning point of the plot, the moment of greatest tension. The introduction of characters is the exposition, and the ending is the resolution, which comes after the climax.
A paraeducator is helping a student understand a story. Which question focuses on character?
- A.How does Leo change from the start of the story to the end?
- B.What happens right after the storm hits the small village?
- C.Where and when does all of the story's action take place for Leo?
- D.What lesson might the author want readers to learn in it?
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Correct answer: How does Leo change from the start of the story to the end?
Correct answer: How does Leo change from the start of the story to the end? Asking how Leo changes focuses on character development. The other questions address setting, theme, and plot sequence.
Which sequence shows the usual parts of a story's plot?
- A.rising action, resolution, exposition, climax, falling action
- B.exposition, rising action, climax, falling action, resolution
- C.climax, exposition, resolution, rising action, falling action
- D.resolution, climax, rising action, exposition, falling action
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Correct answer: exposition, rising action, climax, falling action, resolution
Correct answer: exposition, rising action, climax, falling action, resolution. A typical plot moves from exposition (introduction) through rising action to the climax, then falling action and resolution. The other orders scramble the parts, for example placing the resolution before the climax.
A story is told by a character who uses "I" and "me." What point of view is this?
- A.third person omniscient
- B.first person
- C.second person
- D.third person limited
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Correct answer: first person
Correct answer: first person. A narrator who is a character and uses "I" and "me" tells the story in first person. Second person uses "you," and third person narrators use "he," "she," and "they" from outside the story.
In a fable, a slow tortoise beats a fast but careless hare in a race. Which theme does the story suggest?
- A.Hares are not able to run very quickly.
- B.Tortoises are the fastest of animals.
- C.Races should always be held in parks.
- D.Steady effort can succeed over speed.
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Correct answer: Steady effort can succeed over speed.
Correct answer: Steady effort can succeed over speed. The tortoise wins by keeping going while the overconfident hare stops, suggesting that steady effort can beat speed. The other choices misstate the facts of the story or state trivial details rather than a lesson.
How does understanding a character's motivation help a reader comprehend a story?
- A.It tells the reader exactly when the story takes place.
- B.It lists every event in the order in which it happened.
- C.It explains why the character acts the way they do.
- D.It shows the reader how long the story will be overall.
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Correct answer: It explains why the character acts the way they do.
Correct answer: It explains why the character acts the way they do. Motivation is the reason behind a character's actions, so knowing it helps readers understand choices and predict events. It does not identify the setting, list the plot, or indicate length.
A student uses an AI tool to help write an essay. Following the teacher's guidelines, what should the student do?
- A.Avoid checking any facts, since AI tools can never be wrong.
- B.Use it only as the teacher allows and say how it was used.
- C.Use it to copy a classmate's essay into a new document.
- D.Turn in the AI tool's essay as the student's own work.
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Correct answer: Use it only as the teacher allows and say how it was used.
Correct answer: Use it only as the teacher allows and say how it was used. Responsible AI use means following the teacher's rules and being open about how the tool helped. Submitting AI-written work as one's own and copying a classmate are academic dishonesty, and AI tools can produce errors, so facts must be checked.
Students are editing a shared online document for a group project. Which practice is most responsible?
- A.Change the document's sharing settings so others can't edit.
- B.Delete any sentence you disagree with without telling anyone.
- C.Add comments or suggestions instead of deleting others' work.
- D.Copy the whole document and submit it as your own project.
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Correct answer: Add comments or suggestions instead of deleting others' work.
Correct answer: Add comments or suggestions instead of deleting others' work. Comments and suggestions let group members discuss changes respectfully while keeping everyone's work. Deleting others' writing without discussion, locking teammates out, or submitting the shared work as one's own are irresponsible.
A paraeducator notices a student copying and pasting paragraphs from a website into a report. What is the best response?
- A.Finish the report for the student to save some time.
- B.Delete the report and ask the student to start over.
- C.Remind the student to paraphrase and cite the source.
- D.Tell the student that copying online text is always fine.
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Correct answer: Remind the student to paraphrase and cite the source.
Correct answer: Remind the student to paraphrase and cite the source. Reminding the student to put ideas in their own words and cite the source teaches responsible use of online information. Approving copying encourages plagiarism, finishing the report does the work for the student, and deleting the report is not an appropriate support.
Which is an example of responsible digital citizenship when collaborating online?
- A.Using a classmate's photo in a project without permission
- B.Posting respectful comments on a classmate's shared draft
- C.Sharing a classmate's password so others can use the account
- D.Posting a classmate's private information in a group chat
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Correct answer: Posting respectful comments on a classmate's shared draft
Correct answer: Posting respectful comments on a classmate's shared draft. Respectful comments on a shared draft are responsible online collaboration. Sharing passwords, posting private information, and using someone's photo without permission violate privacy and safety.
A class uses an interactive whiteboard to brainstorm ideas together. What is the main benefit of this technology for writing?
- A.It checks the credibility of every source by itself.
- B.It removes the need for any revising or any editing.
- C.Everyone can see and add ideas in one shared space.
- D.It automatically writes the finished essay for them.
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Correct answer: Everyone can see and add ideas in one shared space.
Correct answer: Everyone can see and add ideas in one shared space. An interactive whiteboard lets a group see and contribute ideas together, which supports collaborative planning. It does not write essays, replace revising and editing, or evaluate sources.
Which step should a student take before publishing a class blog post?
- A.Include copyrighted photos without asking for permission.
- B.Check that it has no private details and follows rules.
- C.Add a classmate's home address to make the post personal.
- D.Post it right away without letting the teacher review it.
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Correct answer: Check that it has no private details and follows rules.
Correct answer: Check that it has no private details and follows rules. Before publishing, a student should protect privacy and follow school rules, which often include teacher review. Personal addresses, unlicensed photos, and skipping review are unsafe or inappropriate.
A student asks a paraeducator whether an AI chatbot's answer about a historical event is correct. What is the best guidance?
- A.Verify the answer with a credible source such as a .gov site.
- B.Accept the answer, since chatbots are always accurate on history.
- C.Copy the answer into the report without saying where it is from.
- D.Ask the chatbot the same question until it gives the answer twice.
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Correct answer: Verify the answer with a credible source such as a .gov site.
Correct answer: Verify the answer with a credible source such as a .gov site. AI tools can produce errors, so the answer should be checked against a credible source such as an official government or university site. Chatbots are not always accurate, copying without attribution is dishonest, and repeating the question does not verify accuracy.
Which use of a laptop best supports a student's writing process?
- A.Using a word processor to draft, revise, and edit an essay
- B.Watching unrelated videos while the essay is still being written
- C.Sending the essay to friends to write it for the student
- D.Copying a finished essay from a website into a document
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Correct answer: Using a word processor to draft, revise, and edit an essay
Correct answer: Using a word processor to draft, revise, and edit an essay. A word processor makes drafting, revising, and editing easier while keeping the student in charge of the writing. Watching unrelated videos distracts, and copying an essay or having friends write it is dishonest.
A student adds a note in parentheses after a quoted sentence: (Garcia, 2021, p. 14). What does this note show?
- A.the student's name, grade, and the due date
- B.the title of the paragraph where it appears
- C.the author, year, and page of the source
- D.the number of words the quotation contains
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Correct answer: the author, year, and page of the source
Correct answer: the author, year, and page of the source. A parenthetical in-text citation such as (Garcia, 2021, p. 14) names the author, the publication year, and the page where the quoted words appear, pointing the reader to the full reference. It does not identify the student, count words, or title a paragraph.
Numbers and Operations (93)
What is the value of −8 + 15?
- A.−7
- B.−23
- C.23
- D.7
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Correct answer: 7
Correct answer: 7. Adding numbers with different signs means subtracting their absolute values (15 − 8 = 7) and keeping the sign of the number with the larger absolute value, which is positive. The value −7 keeps the wrong sign, and 23 and −23 add the absolute values as if the signs matched.
What is the value of 6 − (−9)?
- A.15
- B.−3
- C.3
- D.−15
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Correct answer: 15
Correct answer: 15. Subtracting a negative is the same as adding its opposite: 6 − (−9) = 6 + 9 = 15. The value −3 treats it as 6 − 9, 3 subtracts 6 from 9, and −15 makes the whole result negative.
What is the value of (−7) × (−6)?
- A.−42
- B.−13
- C.42
- D.13
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Correct answer: 42
Correct answer: 42. The product of two negative numbers is positive, so (−7) × (−6) = 42. The value −42 uses the wrong sign rule, and −13 and 13 come from adding instead of multiplying.
What is the value of −56 ÷ 8?
- A.−64
- B.−48
- C.7
- D.−7
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Correct answer: −7
Correct answer: −7. A negative number divided by a positive number is negative: −56 ÷ 8 = −7. The value 7 has the wrong sign, and −48 and −64 come from adding or subtracting 8 instead of dividing.
At 6 a.m. the temperature was −4°F. By noon it had risen 11 degrees. What was the temperature at noon?
- A.−7°F
- B.−15°F
- C.7°F
- D.15°F
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Correct answer: 7°F
Correct answer: 7°F. A rise of 11 degrees means adding: −4 + 11 = 7. Subtracting 11 gives −15, adding the absolute values gives 15, and −7 has the right size but the wrong sign.
A diver is at −30 feet and then swims up 12 feet. What is the diver's new depth?
- A.−42 feet
- B.−12 feet
- C.−18 feet
- D.18 feet
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Correct answer: −18 feet
Correct answer: −18 feet. Swimming up moves toward zero, so add: −30 + 12 = −18 feet. The value −42 moves the wrong way (deeper), 18 feet would be above the surface, and −12 feet uses only the distance swum.
What is the value of −3 × 4 × (−2)?
- A.−24
- B.−1
- C.−9
- D.24
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Correct answer: 24
Correct answer: 24. Multiply in order: −3 × 4 = −12, then −12 × (−2) = 24. Two negative factors make the product positive, so −24 has the wrong sign; −9 adds all three as negatives and −1 adds them with their signs (−3 + 4 − 2).
Which expression has a negative value?
- A.(−5) × 3
- B.(−15) ÷ (−3)
- C.(−5) × (−3)
- D.(−5) − (−8)
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Correct answer: (−5) × 3
Correct answer: (−5) × 3. A negative times a positive is negative: (−5) × 3 = −15. The product and the quotient of two negatives are positive (15 and 5), and (−5) − (−8) = −5 + 8 = 3, which is positive.
A bank account has a balance of $45. A charge of $60 is made. What is the new balance?
- A.−$105
- B.$105
- C.$15
- D.−$15
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Correct answer: −$15
Correct answer: −$15. A charge is subtracted: 45 − 60 = −15, so the account is overdrawn by $15. Positive $15 ignores that the charge is larger than the balance, and −$105 and $105 add the two amounts.
A student computes −9 − 4 and gets −5. What error did the student most likely make?
- A.The student divided −9 by 4 and rounded the answer to a whole number.
- B.The student multiplied the two numbers instead of subtracting them.
- C.The student subtracted 4 from 9 and kept the negative sign.
- D.The student added 9 and 4 and then made the result negative.
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Correct answer: The student subtracted 4 from 9 and kept the negative sign.
Correct answer: The student subtracted 4 from 9 and kept the negative sign. The correct value is −9 − 4 = −13. Getting −5 shows the student found 9 − 4 = 5 and attached the negative sign, treating it as −(9 − 4). Adding 9 and 4 and making it negative gives −13, the correct answer, and multiplying or dividing would give −36 or about −2.
What is + ?
- A.
- B.
- C.
- D.
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Correct answer:
Correct answer: . Use a common denominator of 12: 2/3 = 8/12 and 1/4 = 3/12, so the sum is 11/12. Adding numerators and denominators gives 3/7, 3/12 adds the numerators over 12 without converting them, and 2/12 multiplies the fractions instead.
What is − ?
- A.
- B.
- C.
- D.
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Correct answer:
Correct answer: . Rewrite 1/3 as 2/6, then subtract: 5/6 − 2/6 = 3/6 = 1/2. Subtracting straight across gives 4/3, subtracting only the numerators without converting gives 4/6, and 5/18 multiplies the fractions.
What is × ?
- A.
- B.
- C.
- D.
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Correct answer:
Correct answer: . Multiply numerators and denominators: (3 × 2)/(4 × 5) = 6/20 = 3/10. The value 5/9 adds straight across, 15/8 is the quotient 3/4 ÷ 2/5, and 6/9 multiplies the numerators but adds the denominators.
What is ÷ ?
- A.
- B.1
- C.
- D.
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Correct answer: 1
Correct answer: 1. Keep, change, flip: 2/3 × 9/4 = 18/12 = 3/2 = 1 1/2. The value 8/27 multiplies without flipping, 2/3 is the reciprocal of the answer (the divisor flipped the wrong way), and 2/9 subtracts instead of dividing (6/9 − 4/9).
What is 2 + 1?
- A.3
- B.3
- C.5
- D.4
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Correct answer: 4
Correct answer: 4. Add the fractions with a common denominator: 1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4. Then add the whole numbers: 2 + 1 + 1 1/4 = 4 1/4. The value 3 4/6 adds straight across, 3 1/4 forgets to carry the extra whole, and 5 1/4 carries the extra whole twice.
A recipe calls for cup of flour. How much flour is needed to make half the recipe?
- A. cup
- B. cup
- C. cup
- D. cup
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Correct answer: cup
Correct answer: cup. Half of 3/4 is 1/2 × 3/4 = 3/8 cup. Doubling gives 3/2 cup, subtracting 1/2 gives 1/4 cup, and 3/6 cup adds 2 to the denominator instead of doubling it.
Which fraction is equivalent to ?
- A.
- B.
- C.
- D.
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Correct answer:
Correct answer: . Divide the numerator and denominator by 2: 4/10 = 2/5. The fraction 1/4 is 0.25, 4/5 halves only the denominator, and 8/10 doubles only the numerator.
Maria ran 1 miles on Monday and 2 miles on Tuesday. How many miles did she run in all?
- A.3
- B.4
- C.4
- D.3
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Correct answer: 4
Correct answer: 4. 2/3 + 1/2 = 4/6 + 3/6 = 7/6 = 1 1/6, and 1 + 2 + 1 1/6 = 4 1/6 miles. The value 3 3/5 adds straight across, 4 1/5 mixes up the denominator, and 3 1/6 forgets to carry the whole from 7/6.
A board is 6 feet long. It is cut into pieces that are each foot long. How many pieces are there?
- A.18
- B.8
- C.4.5
- D.2
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Correct answer: 8
Correct answer: 8. Divide the length by the piece size: 6 ÷ 3/4 = 6 × 4/3 = 8 pieces. The value 4.5 multiplies 6 by 3/4, 18 multiplies by 3, and 2 divides by the numerator only (6 ÷ 3).
Which list orders the fractions from least to greatest?
- A., ,
- B., ,
- C., ,
- D., ,
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Correct answer: , ,
Correct answer: , , . As decimals, 1/3 ≈ 0.33, 1/2 = 0.5, and 3/4 = 0.75, so the order from least to greatest is 1/3, 1/2, 3/4. The first distractor is greatest to least, and the other two place 1/2 or 3/4 out of order.
A student adds + and writes . Which prompt best helps the student find the error?
- A.Did you remember to flip the second fraction first?
- B.Can we add parts before they are the same size?
- C.Can we round each fraction to the nearest whole?
- D.Did you remember to multiply the two numerators?
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Correct answer: Can we add parts before they are the same size?
Correct answer: Can we add parts before they are the same size? Adding numerators and denominators ignores that halves and thirds are different-sized parts; asking whether parts can be added before they are the same size leads the student to find a common denominator (1/2 + 1/3 = 5/6). Multiplying numerators and flipping a fraction belong to other operations, and rounding to wholes loses the answer.
What is 4.5 + 2.75?
- A.3.20
- B.7.20
- C.7.25
- D.4.775
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Correct answer: 7.25
Correct answer: 7.25. Line up the decimal points: 4.50 + 2.75 = 7.25. The value 3.20 lines up the last digits instead of the decimal points (0.45 + 2.75), 7.20 drops the hundredths, and 4.775 misaligns 2.75 as if it were 0.275.
What is 10 − 3.46?
- A.6.64
- B.6.54
- C.7.54
- D.7.46
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Correct answer: 6.54
Correct answer: 6.54. Write 10 as 10.00 and subtract: 10.00 − 3.46 = 6.54. The value 7.46 subtracts only the whole number, 6.64 makes a borrowing error in the tenths, and 7.54 forgets to borrow from the ones place.
What is 0.6 × 0.4?
- A.1.0
- B.0.024
- C.2.4
- D.0.24
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Correct answer: 0.24
Correct answer: 0.24. 6 × 4 = 24, and the factors have two decimal places in total, so the product is 0.24. The value 2.4 places the point after one digit, 0.024 uses three places, and 1.0 adds the numbers.
What is 7.2 ÷ 0.3?
- A.2.4
- B.24
- C.240
- D.0.24
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Correct answer: 24
Correct answer: 24. Move both decimal points one place to the right: 72 ÷ 3 = 24. The values 2.4 and 0.24 shift the point the wrong way, and 240 moves the point in 7.2 twice.
Three notebooks cost $2.35 each. What is the total cost?
- A.$7.05
- B.$7.15
- C.$6.95
- D.$6.05
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Correct answer: $7.05
Correct answer: $7.05. 3 × 2.35 = 7.05. The value $6.05 forgets to carry into the ones place, and $7.15 and $6.95 miscount the cents.
A runner's times in two races were 12.48 seconds and 12.8 seconds. How much faster was the first race?
- A.0.04 second
- B.0.4 second
- C.0.32 second
- D.1.32 seconds
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Correct answer: 0.32 second
Correct answer: 0.32 second. 12.80 − 12.48 = 0.32 second. The value 0.4 subtracts 12.4 from 12.8, 0.04 misaligns the digits, and 1.32 seconds comes from a borrowing error.
Which decimal is greatest?
- A.0.699
- B.0.069
- C.0.65
- D.0.7
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Correct answer: 0.7
Correct answer: 0.7. Compare place by place: 0.7 = 0.700 has 7 tenths, more than 0.65 (6 tenths), 0.699 (6 tenths), or 0.069 (0 tenths). Longer decimals are not necessarily larger.
A pack of 4 batteries costs $5.96. What is the cost per battery?
- A.$1.49
- B.$5.92
- C.$1.94
- D.$23.84
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Correct answer: $1.49
Correct answer: $1.49. Divide the total by 4: 5.96 ÷ 4 = 1.49. The value $1.94 swaps the digits, $23.84 multiplies instead of dividing, and $5.92 subtracts 4 cents instead of dividing by 4.
What is 3.08 rounded to the nearest tenth?
- A.3.0
- B.3.08
- C.3.2
- D.3.1
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Correct answer: 3.1
Correct answer: 3.1. The tenths digit is 0 and the next digit is 8, which rounds the tenths up to 1, giving 3.1. The value 3.0 rounds down, 3.08 is not rounded, and 3.2 overshoots.
What is 15% of 80?
- A.65
- B.8
- C.15
- D.12
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Correct answer: 12
Correct answer: 12. 15% = 0.15, and 0.15 × 80 = 12. The value 15 repeats the percent, 8 is 10% of 80, and 65 subtracts 15 from 80.
A $40 shirt is on sale for 25% off. What is the sale price?
- A.$15
- B.$50
- C.$30
- D.$10
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Correct answer: $30
Correct answer: $30. The discount is 0.25 × 40 = $10, so the sale price is 40 − 10 = $30 (or 0.75 × 40). The value $10 is the discount, $15 subtracts 25 from 40, and $50 adds the discount instead of subtracting it.
18 is what percent of 72?
- A.25%
- B.4%
- C.18%
- D.54%
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Correct answer: 25%
Correct answer: 25%. Part ÷ whole = 18 ÷ 72 = 0.25 = 25%. The value 18% uses the part as the percent, 4% divides the whole by the part (72 ÷ 18 = 4), and 54% subtracts 18 from 72.
A town's population grew from 2,000 to 2,300. What was the percent increase?
- A.30%
- B.13%
- C.300%
- D.15%
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Correct answer: 15%
Correct answer: 15%. Percent increase = (new − old) ÷ old × 100 = 300 ÷ 2,000 × 100 = 15%. The value 30% divides by 1,000, 13% divides by the new amount (300 ÷ 2,300 ≈ 13%), and 300% uses the change as the percent.
Which is equivalent to 0.08?
- A.0.08%
- B.8%
- C.80%
- D.0.8%
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Correct answer: 8%
Correct answer: 8%. Multiply a decimal by 100 to convert it to a percent: 0.08 × 100 = 8%. The value 80% moves the point one place too far, and 0.8% and 0.08% move it the wrong way or not at all.
A restaurant bill is $60. A customer leaves a 20% tip. How much is the tip?
- A.$72
- B.$12
- C.$20
- D.$3
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Correct answer: $12
Correct answer: $12. 0.20 × 60 = $12. The value $20 confuses the percent with dollars, $3 divides 60 by 20, and $72 is the bill plus the tip.
A student answered 45 of 50 questions correctly. What percent did the student answer correctly?
- A.90%
- B.95%
- C.45%
- D.85%
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Correct answer: 90%
Correct answer: 90%. 45 ÷ 50 = 0.9 = 90%. The value 45% reads the count as a percent, and 95% and 85% miscount by 5 points.
Which fraction is equal to 60%?
- A.
- B.
- C.
- D.
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Correct answer:
Correct answer: . 60% = 60/100 = 3/5. The fraction 6/100 is 6%, 1/6 is about 17%, and 2/3 is about 67%.
A jacket's price increased from $50 to $60. By what percent did the price increase?
- A.16%
- B.20%
- C.10%
- D.120%
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Correct answer: 20%
Correct answer: 20%. The increase is $10, and 10 ÷ 50 = 0.20 = 20%. The value 10% uses the dollar change as the percent, 16% divides by the new price (10 ÷ 60 ≈ 16.7%), and 120% is the new price as a percent of the old one, not the increase.
30% of a number is 21. What is the number?
- A.51
- B.63
- C.6.3
- D.70
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Correct answer: 70
Correct answer: 70. If 0.30 × n = 21, then n = 21 ÷ 0.30 = 70. The value 6.3 is 30% of 21, 63 multiplies 21 by 3, and 51 adds 30 and 21.
A paraeducator helps a student find 10% of 250. Which strategy best supports the student's number sense?
- A.Divide 250 by 100 and then multiply the result by 1,000.
- B.Move the decimal point one place to the left to get 25.
- C.Move the decimal point two places to the left to get 2.5.
- D.Subtract 10 from 250 and call the difference the percent.
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Correct answer: Move the decimal point one place to the left to get 25.
Correct answer: Move the decimal point one place to the left to get 25. Ten percent means one tenth, and dividing by 10 moves the decimal point one place left: 250 → 25. Moving two places finds 1%, dividing by 100 and multiplying by 1,000 does not find 10%, and subtracting 10 confuses the percent with a number.
In the number 4,862.37, what is the value of the digit 3?
- A.3 tens
- B.3 tenths
- C.3 hundredths
- D.3 ones
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Correct answer: 3 tenths
Correct answer: 3 tenths. The first digit to the right of the decimal point is in the tenths place, so the 3 is worth 3 tenths (0.3). The 7 is in the hundredths place, the 2 is in the ones place, and the 6 is in the tens place.
On a number line, which number is between −2 and −1?
- A.1.5
- B.−2.5
- C.−1.5
- D.−0.5
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Correct answer: −1.5
Correct answer: −1.5. −1.5 lies halfway between −2 and −1. The value −2.5 is to the left of −2, −0.5 is to the right of −1, and 1.5 is positive.
Which list is ordered from least to greatest?
- A.0, −1, 2, −3
- B.−1, −3, 0, 2
- C.2, 0, −1, −3
- D.−3, −1, 0, 2
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Correct answer: −3, −1, 0, 2
Correct answer: −3, −1, 0, 2. On a number line, numbers increase to the right: −3 is left of −1, which is left of 0, then 2. The other lists either start at 0, put −1 before −3, or run from greatest to least.
Which decimal is equivalent to ?
- A.0.83
- B.3.8
- C.0.38
- D.0.375
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Correct answer: 0.375
Correct answer: 0.375. 3 ÷ 8 = 0.375. The value 0.38 is a rounded approximation, 0.83 reverses the digits, and 3.8 treats the fraction as 3 and 8 tenths.
A point on a number line is located at the fourth tick mark to the right of 0, and the tick marks are spaced 0.25 apart. What number is at the point?
- A.1
- B.0.4
- C.1.25
- D.4
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Correct answer: 1
Correct answer: 1. Four spaces of 0.25 each is 4 × 0.25 = 1. The value 4 counts ticks as whole units, 0.4 treats each tick as 0.1, and 1.25 counts one extra tick.
Which number is written in expanded form as 5,000 + 300 + 7 + 0.09?
- A.5,037.09
- B.5,370.9
- C.5,307.09
- D.5,307.9
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Correct answer: 5,307.09
Correct answer: 5,307.09. 5,000 + 300 + 7 = 5,307, and 0.09 is 9 hundredths, so the number is 5,307.09. The value 5,370.9 puts the 7 in the tens place and the 9 in the tenths, 5,037.09 drops the hundreds, and 5,307.9 puts the 9 in the tenths place.
Which number is greatest?
- A.55%
- B.
- C.0.6
- D. − 0.1
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Correct answer: 0.6
Correct answer: 0.6. Convert to decimals: 0.6, 1/2 = 0.5, 55% = 0.55, and 3/5 − 0.1 = 0.6 − 0.1 = 0.5. The greatest is 0.6.
What is 36,482 rounded to the nearest thousand?
- A.40,000
- B.37,000
- C.36,000
- D.36,500
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Correct answer: 36,000
Correct answer: 36,000. The thousands digit is 6 and the next digit (hundreds) is 4, which is less than 5, so round down to 36,000. The value 37,000 rounds up incorrectly, 36,500 is the number rounded to the nearest hundred, and 40,000 is rounded to the nearest ten thousand.
Which fraction is located closest to 1 on a number line?
- A.
- B.
- C.
- D.
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Correct answer:
Correct answer: . 7/8 = 0.875 is only 0.125 from 1. The others are farther away: 1/2 = 0.5, 3/5 = 0.6, and 2/3 ≈ 0.67.
What is the quotient of 48 and 6?
- A.288
- B.54
- C.8
- D.42
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Correct answer: 8
Correct answer: 8. A quotient is the result of division: 48 ÷ 6 = 8. The value 288 is the product, 42 is the difference, and 54 is the sum.
In the fraction , what is the denominator?
- A.9
- B.5
- C.4
- D.14
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Correct answer: 9
Correct answer: 9. The denominator is the bottom number, which tells how many equal parts make a whole: 9. The numerator is 5, and 14 and 4 are the sum and difference of the two numbers.
Which symbol makes the statement true: 0.45 ___ ?
- A.≤
- B.=
- C.>
- D.<
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Correct answer: >
Correct answer: >. 2/5 = 0.40, and 0.45 is greater than 0.40, so > makes the statement true. The symbols < and ≤ say 0.45 is smaller (or equal), and = says the two values are equal.
What does the symbol ≠ mean?
- A.is less than
- B.is equal to
- C.is approximately
- D.is not equal to
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Correct answer: is not equal to
Correct answer: is not equal to. The symbol ≠ means "is not equal to," as in 3 ≠ 4. "Is approximately" is ≈, "is less than" is <, and "is equal to" is =.
What is the product of 12 and 5?
- A.2.4
- B.7
- C.60
- D.17
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Correct answer: 60
Correct answer: 60. A product is the result of multiplication: 12 × 5 = 60. The value 17 is the sum, 7 is the difference, and 2.4 is the quotient.
What is the difference between 45 and 17?
- A.32
- B.28
- C.38
- D.62
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Correct answer: 28
Correct answer: 28. A difference is the result of subtraction: 45 − 17 = 28. The value 62 is the sum, 32 subtracts the smaller digit from the larger in each place instead of regrouping, and 38 subtracts only the 7.
Which statement is true?
- A.−2 < −5
- B.−5 < −2
- C.−5 = −2
- D.−5 > −2
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Correct answer: −5 < −2
Correct answer: −5 < −2. On a number line, −5 lies to the left of −2, so −5 is less than −2. The other statements reverse the relationship or claim the numbers are equal.
Which word describes a number that divides another number with no remainder, such as 4 for 12?
- A.numerator
- B.quotient
- C.multiple
- D.factor
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Correct answer: factor
Correct answer: factor. A factor divides a number evenly: 4 is a factor of 12. A multiple is the result of multiplying (12 is a multiple of 4), a numerator is the top of a fraction, and a quotient is the result of division (3).
What is the value of 3⁴?
- A.81
- B.12
- C.64
- D.7
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Correct answer: 81
Correct answer: 81. 3⁴ means 3 × 3 × 3 × 3 = 81. The value 12 multiplies 3 by 4, 7 adds them, and 64 is 4³.
What is the value of 10³?
- A.30
- B.100
- C.10,000
- D.1,000
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Correct answer: 1,000
Correct answer: 1,000. 10³ = 10 × 10 × 10 = 1,000. The value 30 multiplies 10 by 3, 100 is 10², and 10,000 is 10⁴.
What is the value of 7⁰?
- A.1
- B.0
- C.70
- D.7
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Correct answer: 1
Correct answer: 1. Any nonzero number raised to the zero power equals 1. The value 0 confuses the exponent with a factor of zero, 7 is 7¹, and 70 attaches the zero as a digit.
Which expression is equal to 2⁵?
- A.2 + 2 + 2 + 2 + 2
- B.5 × 5
- C.2 × 2 × 2 × 2 × 2
- D.2 × 5
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Correct answer: 2 × 2 × 2 × 2 × 2
Correct answer: 2 × 2 × 2 × 2 × 2. An exponent tells how many times the base is used as a factor, so 2⁵ = 2 × 2 × 2 × 2 × 2 = 32. The value 2 × 5 multiplies base by exponent, 5 × 5 is 5², and repeated addition gives 10.
What is the value of 5² + 2³?
- A.33
- B.16
- C.49
- D.31
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Correct answer: 33
Correct answer: 33. 5² = 25 and 2³ = 8, so the sum is 33. The value 16 multiplies each base by its exponent (10 + 6), 31 treats 2³ as 2 × 3 (25 + 6), and 49 adds the bases first and squares the result (7²).
Which expression is equal to 4² × 4³?
- A.4⁵
- B.16⁵
- C.8⁵
- D.4⁶
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Correct answer: 4⁵
Correct answer: 4⁵. When multiplying powers with the same base, add the exponents: 4² × 4³ = 4⁵. Multiplying the exponents gives 4⁶, and 16⁵ and 8⁵ change the base.
A square has a side length of 9 inches. Which expression gives its area in square inches?
- A.9 × 2
- B.9²
- C.2⁹
- D.9 × 4
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Correct answer: 9²
Correct answer: 9². The area of a square is side × side, which is written 9² = 81. The value 9 × 4 is the perimeter, 2⁹ reverses base and exponent, and 9 × 2 doubles the side.
Which number is a perfect square?
- A.49
- B.24
- C.18
- D.50
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Correct answer: 49
Correct answer: 49. 49 = 7², so it is a perfect square. There is no whole number whose square is 18, 24, or 50.
What is the value of 8 + 4 × 3?
- A.24
- B.20
- C.15
- D.36
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Correct answer: 20
Correct answer: 20. Multiply before adding: 4 × 3 = 12, and 8 + 12 = 20. The value 36 adds first ((8 + 4) × 3), 15 adds all three numbers, and 24 comes from 8 × 3.
What is the value of (6 + 2)² ÷ 4?
- A.4
- B.16
- C.7
- D.64
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Correct answer: 16
Correct answer: 16. Parentheses first: 6 + 2 = 8. Then the exponent: 8² = 64. Then divide: 64 ÷ 4 = 16. The value 7 ignores the parentheses (6 + 2² ÷ 4 = 6 + 1), 64 stops before dividing, and 4 divides before squaring ((8 ÷ 4)²).
What is the value of 20 − 12 ÷ 4 × 2?
- A.14
- B.4
- C.18.5
- D.34
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Correct answer: 14
Correct answer: 14. Multiply and divide from left to right: 12 ÷ 4 = 3, then 3 × 2 = 6; then 20 − 6 = 14. The value 18.5 multiplies 4 × 2 first (20 − 12 ÷ 8), 4 subtracts first ((20 − 12) ÷ 4 × 2), and 34 subtracts before multiplying ((20 − 3) × 2).
What is the value of 3 × (5 − 2)²?
- A.81
- B.9
- C.18
- D.27
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Correct answer: 27
Correct answer: 27. Parentheses: 5 − 2 = 3. Exponent: 3² = 9. Multiply: 3 × 9 = 27. The value 81 multiplies before squaring ((3 × 3)²), 18 treats the exponent as "times 2" (3 × 3 × 2), and 9 skips the final multiplication.
What is the value of −4 + 6 × (−2)?
- A.0
- B.−4
- C.8
- D.−16
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Correct answer: −16
Correct answer: −16. Multiply first: 6 × (−2) = −12. Then add: −4 + (−12) = −16. The value −4 adds first ((−4 + 6) × (−2)), 8 drops the negative on −12 (−4 + 12), and 0 ignores the multiplication (−4 + 6 − 2).
A student evaluates 12 ÷ 3 × 2 and gets 2. What mistake did the student make?
- A.The student multiplied 3 × 2 before dividing.
- B.The student divided 12 by 3 before multiplying.
- C.The student added 3 and 2 instead of multiplying.
- D.The student subtracted 2 from 12 before dividing.
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Correct answer: The student multiplied 3 × 2 before dividing.
Correct answer: The student multiplied 3 × 2 before dividing. Multiplication and division are done from left to right, so 12 ÷ 3 × 2 = 4 × 2 = 8. Getting 2 means the student computed 3 × 2 = 6 first and then 12 ÷ 6 = 2. Dividing 12 by 3 first is the correct first step, and adding or subtracting would give other results (12 ÷ 5 = 2.4 or 10 ÷ 3).
What is the value of 18 ÷ (2 + 4) + 5?
- A.8
- B.3
- C.17
- D.18
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Correct answer: 8
Correct answer: 8. Parentheses: 2 + 4 = 6. Divide: 18 ÷ 6 = 3. Add: 3 + 5 = 8. The value 3 stops before adding, 18 ignores the parentheses (18 ÷ 2 + 4 + 5), and 17 subtracts instead of dividing (18 − 6 + 5).
Which expression has a value of 10?
- A.(4 + 1) × 2
- B.4 + 1 + 2 × 2
- C.4 + 1 × 2
- D.4 × 1 + 2
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Correct answer: (4 + 1) × 2
Correct answer: (4 + 1) × 2. Parentheses first: (4 + 1) × 2 = 5 × 2 = 10. The others evaluate to 4 + 2 = 6, 4 + 2 = 6, and 4 + 1 + 4 = 9.
What is the value of 2 × 3² − 4?
- A.10
- B.8
- C.14
- D.32
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Correct answer: 14
Correct answer: 14. Exponent first: 3² = 9. Multiply: 2 × 9 = 18. Subtract: 18 − 4 = 14. The value 32 squares 2 × 3 first (6² − 4), 8 treats 3² as 3 × 2 (2 × 6 − 4), and 10 subtracts before multiplying (2 × (9 − 4)).
Tickets to a school play cost $7 each. Which expression gives the total cost of t tickets?
- A.t − 7
- B.t ÷ 7
- C.7t
- D.7 + t
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Correct answer: 7t
Correct answer: 7t. Each ticket costs $7, so t tickets cost 7 × t = 7t dollars. Adding, subtracting, or dividing by 7 does not represent paying $7 for each ticket.
A class has 28 students. They are split into groups of 4. How many groups are there?
- A.7
- B.32
- C.112
- D.24
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Correct answer: 7
Correct answer: 7. Split equally into groups of 4 means divide: 28 ÷ 4 = 7. The values 24 and 32 subtract or add 4, and 112 multiplies.
Which expression represents "5 less than a number n"?
- A.5 − n
- B.n + 5
- C.n − 5
- D.5n
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Correct answer: n − 5
Correct answer: n − 5. "Less than" reverses the order: 5 less than n means start with n and subtract 5, which is n − 5. The expression 5 − n subtracts n from 5, 5n multiplies, and n + 5 adds.
A car travels at 55 miles per hour. How far does it travel in 3.5 hours?
- A.192.5 miles
- B.58.5 miles
- C.15.7 miles
- D.165 miles
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Correct answer: 192.5 miles
Correct answer: 192.5 miles. Distance = rate × time = 55 × 3.5 = 192.5 miles. The value 165 uses only 3 hours, 58.5 adds the numbers, and 15.7 divides 55 by 3.5.
Jamal has $120. He buys 3 shirts that cost $18 each. How much money does he have left?
- A.$84
- B.$54
- C.$102
- D.$66
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Correct answer: $66
Correct answer: $66. The shirts cost 3 × 18 = $54, and 120 − 54 = $66. The value $54 is the cost of the shirts, $102 subtracts only one shirt, and $84 subtracts two shirts.
The sum of a number and 12 is 30. Which equation represents this?
- A.30 + n = 12
- B.n − 12 = 30
- C.n + 12 = 30
- D.12n = 30
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Correct answer: n + 12 = 30
Correct answer: n + 12 = 30. "The sum of a number and 12" is n + 12, and "is 30" means = 30. The equation 12n = 30 is a product, n − 12 is a difference, and 30 + n = 12 reverses the roles of the numbers.
A phone plan costs $25 per month plus $5 for each gigabyte of data used. Which expression gives the monthly cost for g gigabytes?
- A.25 + 5g
- B.30g
- C.5 + 25g
- D.25g + 5g
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Correct answer: 25 + 5g
Correct answer: 25 + 5g. The $25 is a flat fee paid once, and $5 is charged for each of the g gigabytes, so the cost is 25 + 5g. The expression 5 + 25g swaps the fee and the rate, 30g charges $30 per gigabyte, and 25g + 5g multiplies the flat fee by g.
A school orders 6 boxes of pencils. Each box holds 24 pencils. The school gives out 100 pencils. How many pencils are left?
- A.44
- B.144
- C.34
- D.124
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Correct answer: 44
Correct answer: 44. 6 × 24 = 144 pencils, and 144 − 100 = 44. The value 144 forgets to subtract, 124 adds 24 and 100, and 34 is a subtraction error.
A recipe uses 3 eggs for every 2 cups of flour. How many eggs are needed for 8 cups of flour?
- A.12
- B.11
- C.24
- D.16
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Correct answer: 12
Correct answer: 12. 8 cups is 4 times 2 cups, so multiply the eggs by 4: 3 × 4 = 12 eggs. The value 11 adds 8 to 3, 16 doubles the flour, and 24 multiplies 3 by 8.
Lena is 4 years older than twice her brother's age. Her brother is b years old. Which expression shows Lena's age?
- A.2b + 4
- B.4b + 2
- C.b + 8
- D.2(b + 4)
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Correct answer: 2b + 4
Correct answer: 2b + 4. Twice the brother's age is 2b, and 4 years older adds 4: 2b + 4. The expression 2(b + 4) doubles the 4 as well, 4b + 2 swaps the numbers, and b + 8 adds instead of doubling.
Solve for x: 3x + 7 = 22.
- A.x = 9⅔
- B.x = 5
- C.x = 29
- D.x = 15
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Correct answer: x = 5
Correct answer: x = 5. Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. The value 29 adds 7, 15 stops before dividing, and 9⅔ divides 29 by 3 after adding 7 instead of subtracting.
Solve for n: n − 9 = 14.
- A.n = 5
- B.n = 126
- C.n = −5
- D.n = 23
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Correct answer: n = 23
Correct answer: n = 23. Add 9 to both sides: n = 14 + 9 = 23. The value 5 subtracts 9 again, −5 subtracts in the wrong order, and 126 multiplies.
Solve for y: y ÷ 4 = 6.
- A.y = 2
- B.y = 24
- C.y = 10
- D.y = 1.5
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Correct answer: y = 24
Correct answer: y = 24. Multiply both sides by 4: y = 24. The value 1.5 divides 6 by 4, 10 adds, and 2 subtracts.
Solve for x: 5x − 3 = 2x + 12.
- A.x = 2⅐
- B.x = 3
- C.x = 15
- D.x = 5
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Correct answer: x = 5
Correct answer: x = 5. Subtract 2x from both sides: 3x − 3 = 12. Add 3: 3x = 15. Divide by 3: x = 5. The value 3 subtracts 3 instead of adding, 15 stops before dividing, and 2⅐ adds 2x instead of subtracting it (7x = 15).
Solve for m: 2(m + 3) = 18.
- A.m = 9
- B.m = 6
- C.m = 12
- D.m = 7.5
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Correct answer: m = 6
Correct answer: m = 6. Distribute: 2m + 6 = 18. Subtract 6: 2m = 12. Divide by 2: m = 6. The value 7.5 distributes only to m (2m + 3 = 18), 12 stops before dividing, and 9 divides 18 by 2 and forgets the 3.
A student solves 4x = 20 and writes x = 16. Which prompt best helps the student correct the work?
- A.Can you subtract 4 from 20 to finish it off?
- B.Can you multiply both sides by 4 to finish?
- C.What operation undoes multiplying x by 4?
- D.What number do you add to both sides here?
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Correct answer: What operation undoes multiplying x by 4?
Correct answer: What operation undoes multiplying x by 4? 4x means 4 times x, and division undoes multiplication: x = 20 ÷ 4 = 5. The student subtracted 4 instead. Asking which operation undoes multiplication leads the student to divide; adding, subtracting, or multiplying by 4 would not isolate x.
Which value of x makes the equation 7 + 2x = 19 true?
- A.6
- B.13
- C.4
- D.12
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Correct answer: 6
Correct answer: 6. Substitute to check: 7 + 2(6) = 7 + 12 = 19. The value 12 is 2x, not x; 13 adds 7 instead of subtracting it ((19 + 7) ÷ 2); and 4 gives 7 + 8 = 15.
Maya saves the same amount each week. After 6 weeks she has $84. Which equation can be used to find the amount she saves each week, w?
- A.84w = 6
- B.w − 6 = 84
- C.6w = 84
- D.w + 6 = 84
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Correct answer: 6w = 84
Correct answer: 6w = 84. Saving w dollars for 6 weeks gives 6 × w = 84, so w = $14. Adding or subtracting 6 treats the weeks as dollars, and 84w = 6 reverses the relationship.
Geometry, Measurement & Data (93)
A class starts at 9:45 a.m. and ends at 11:10 a.m. How long is the class?
- A.1 hour 65 minutes
- B.1 hour 35 minutes
- C.2 hours 25 minutes
- D.1 hour 25 minutes
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Correct answer: 1 hour 25 minutes
Correct answer: 1 hour 25 minutes. Count to the next hour: 9:45 to 10:00 is 15 minutes, and 10:00 to 11:10 is 1 hour 10 minutes, for 1 hour 25 minutes in all. Subtracting the times as if they were decimals (11.10 − 9.45) gives 1 hour 65 minutes, which is not a valid time, and the other choices miscount the minutes or the hours.
A movie that is 1 hour 50 minutes long starts at 7:25 p.m. At what time does it end?
- A.8:75 p.m.
- B.9:05 p.m.
- C.8:15 p.m.
- D.9:15 p.m.
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Correct answer: 9:15 p.m.
Correct answer: 9:15 p.m. Add 1 hour to reach 8:25 p.m., then add 50 minutes: 8:25 + 35 minutes is 9:00, plus 15 more minutes is 9:15 p.m. The time 8:75 does not exist (minutes must regroup into an hour), 9:05 miscounts the minutes, and 8:15 forgets to regroup 60 minutes as an hour.
On a clock, the hour hand is between the 3 and the 4, closer to the 4, and the minute hand points to the 8. What time is it?
- A.3:20
- B.8:15
- C.3:40
- D.3:08
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Correct answer: 3:40
Correct answer: 3:40. The minute hand counts by fives, so pointing to the 8 means 8 × 5 = 40 minutes, and the hour hand has not yet reached the 4, so the time is 3:40 (at 3:40 the hour hand sits two-thirds of the way from the 3 to the 4). The time 3:08 reads the 8 as minutes directly, 8:15 swaps the hands, and 3:20 is where the minute hand would be at the 4.
Which unit is most appropriate for measuring the liquid in a bathtub?
- A.fluid ounces
- B.teaspoons
- C.gallons
- D.milliliters
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Correct answer: gallons
Correct answer: gallons. A bathtub holds a large amount of water, so gallons (or liters) are the sensible unit. Teaspoons, milliliters, and fluid ounces measure small amounts, such as medicine or a drink.
Which is the most reasonable mass for a banana?
- A.1,200 kilograms
- B.1.2 grams
- C.120 grams
- D.12 kilograms
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Correct answer: 120 grams
Correct answer: 120 grams. A banana is light enough to hold in one hand, and about 120 grams (roughly a quarter pound) is reasonable. Twelve kilograms is as heavy as a small child, 1.2 grams is about a paper clip, and 1,200 kilograms is as heavy as a car.
A pitcher holds 2 liters of juice. Each cup holds 250 milliliters. How many cups can be filled?
- A.8
- B.125
- C.80
- D.4
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Correct answer: 8
Correct answer: 8. Convert 2 liters to 2,000 milliliters, then divide: 2,000 ÷ 250 = 8 cups. The value 4 uses 1 liter as 500 mL, 80 uses 1 liter as 10,000 mL, and 125 divides 250 by 2.
A bus leaves at 2:50 p.m. and arrives 45 minutes later. At what time does it arrive?
- A.3:35 p.m.
- B.3:05 p.m.
- C.3:45 p.m.
- D.2:95 p.m.
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Correct answer: 3:35 p.m.
Correct answer: 3:35 p.m. Ten minutes brings 2:50 to 3:00, and the remaining 35 minutes gives 3:35 p.m. The time 2:95 does not regroup the minutes, 3:45 adds 55 minutes, and 3:05 adds only 15 minutes.
A bag of apples has a mass of 1.5 kilograms. What is its mass in grams?
- A.15 grams
- B.1,500 grams
- C.15,000 grams
- D.150 grams
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Correct answer: 1,500 grams
Correct answer: 1,500 grams. One kilogram is 1,000 grams, so 1.5 kilograms is 1.5 × 1,000 = 1,500 grams. The values 150 and 15 multiply by 100 or 10, and 15,000 multiplies by 10,000.
A student measures water in a graduated cylinder. The water level is at the line halfway between 40 mL and 50 mL. How much water is in the cylinder?
- A.4.5 mL
- B.45 mL
- C.40.5 mL
- D.50 mL
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Correct answer: 45 mL
Correct answer: 45 mL. Halfway between 40 mL and 50 mL is 45 mL. The value 40.5 treats the halfway mark as half a milliliter, 50 reads the next line, and 4.5 misplaces the decimal.
Soccer practice runs from 3:30 p.m. to 5:15 p.m. on Monday and Wednesday. How much practice time is there in all?
- A.3 hours 45 minutes
- B.1 hour 45 minutes
- C.2 hours 90 minutes
- D.3 hours 30 minutes
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Correct answer: 3 hours 30 minutes
Correct answer: 3 hours 30 minutes. Each practice lasts from 3:30 to 5:15, which is 1 hour 45 minutes. Two practices total 2 hours 90 minutes, and since 90 minutes is 1 hour 30 minutes, that regroups to 3 hours 30 minutes. The value 1 hour 45 minutes is one practice, 3 hours 45 minutes doubles only the hours and keeps 45 minutes, and 2 hours 90 minutes is not regrouped.
Which is the best estimate of the height of a classroom door?
- A.20 meters
- B.2 centimeters
- C.2 kilometers
- D.2 meters
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Correct answer: 2 meters
Correct answer: 2 meters. A standard door is a bit taller than most adults, about 2 meters. Two centimeters is less than an inch, 20 meters is as tall as a six-story building, and 2 kilometers is more than a mile.
Which object has a length of about 1 inch?
- A.a pencil box
- B.a soccer field
- C.a paper clip
- D.a school bus
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Correct answer: a paper clip
Correct answer: a paper clip. A standard paper clip is roughly an inch long. A school bus is about 40 feet, a pencil box is several inches, and a soccer field is about 100 yards.
Which unit would be most appropriate for measuring the distance between two cities?
- A.yards
- B.feet
- C.miles
- D.inches
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Correct answer: miles
Correct answer: miles. Distances between cities are large, so miles (or kilometers) are appropriate. Inches, feet, and yards measure shorter lengths such as objects or rooms.
Which is the best estimate for the capacity of a large bottle of water?
- A.1 liter
- B.100 liters
- C.1 milliliter
- D.1 kiloliter
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Correct answer: 1 liter
Correct answer: 1 liter. A large bottle of water holds about 1 liter. One milliliter is a few drops, 100 liters would fill a bathtub, and a kiloliter is 1,000 liters.
A pencil is measured with a ruler and the tip lines up with the 7 cm mark while the end is at the 0 mark. About how long is the pencil in millimeters?
- A.0.7 mm
- B.7 mm
- C.70 mm
- D.700 mm
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Correct answer: 70 mm
Correct answer: 70 mm. One centimeter is 10 millimeters, so 7 cm = 70 mm. The value 7 mm confuses the units, 700 mm multiplies by 100, and 0.7 mm divides by 10.
Which is the most reasonable weight for a gallon of milk?
- A.about 80 pounds
- B.about 8 tons
- C.about 8 ounces
- D.about 8 pounds
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Correct answer: about 8 pounds
Correct answer: about 8 pounds. A gallon of milk weighs a little over 8 pounds. Eight ounces is half a pound, 80 pounds is as heavy as a large dog, and 8 tons is heavier than several cars.
A student measures a book with a ruler marked in inches. The book's edge falls between the 9 and 10 inch marks, much closer to 9. What is the best estimate of the length?
- A.about 19 inches
- B.about 10 inches
- C.about 9 inches
- D.about 90 inches
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Correct answer: about 9 inches
Correct answer: about 9 inches. When a measurement falls between two marks and is much closer to 9, the reasonable estimate is about 9 inches. Rounding to 10 ignores which mark is closer, and 19 and 90 inches combine or misread the numbers.
Which measurement is the most reasonable for the width of a student's desk?
- A.60 millimeters
- B.60 meters
- C.60 centimeters
- D.60 kilometers
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Correct answer: 60 centimeters
Correct answer: 60 centimeters. About 60 centimeters (roughly 2 feet) is a reasonable desk width. Sixty millimeters is about 2 inches, 60 meters is longer than half a football field, and 60 kilometers is a long drive.
How many inches are in 4 feet?
- A.3 inches
- B.48 inches
- C.36 inches
- D.16 inches
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Correct answer: 48 inches
Correct answer: 48 inches. There are 12 inches in a foot, so 4 × 12 = 48 inches. The value 16 multiplies by 4 twice, 36 uses 9 inches per foot, and 3 divides 12 by 4.
How many meters are in 3.5 kilometers?
- A.350 meters
- B.3,500 meters
- C.35 meters
- D.35,000 meters
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Correct answer: 3,500 meters
Correct answer: 3,500 meters. One kilometer is 1,000 meters, so 3.5 × 1,000 = 3,500 meters. The values 350 and 35 multiply by 100 or 10, and 35,000 multiplies by 10,000.
A ribbon is 72 inches long. How many feet long is it?
- A.60 feet
- B.864 feet
- C.6 feet
- D.2 feet
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Correct answer: 6 feet
Correct answer: 6 feet. Converting to a larger unit means dividing: 72 ÷ 12 = 6 feet. The value 864 multiplies by 12, 60 subtracts 12, and 2 divides by 36 (the inches in a yard).
How many cups are in 3 quarts?
- A.12 cups
- B.6 cups
- C.9 cups
- D.24 cups
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Correct answer: 12 cups
Correct answer: 12 cups. One quart is 2 pints and each pint is 2 cups, so 1 quart = 4 cups and 3 quarts = 12 cups. The value 6 counts only pints, 24 uses 8 cups per quart, and 9 uses 3 cups per quart.
How many grams are in 4.2 kilograms?
- A.42 grams
- B.0.0042 grams
- C.420 grams
- D.4,200 grams
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Correct answer: 4,200 grams
Correct answer: 4,200 grams. Multiply by 1,000: 4.2 × 1,000 = 4,200 grams. The values 420 and 42 multiply by 100 or 10, and 0.0042 divides by 1,000 instead of multiplying.
A hallway is 15 yards long. How many feet long is it?
- A.5 feet
- B.45 feet
- C.18 feet
- D.180 feet
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Correct answer: 45 feet
Correct answer: 45 feet. One yard is 3 feet, so 15 × 3 = 45 feet. The value 5 divides by 3, 180 uses 12 feet per yard, and 18 adds 3.
A water bottle holds 750 milliliters. How many liters is this?
- A.750,000 liters
- B.7.5 liters
- C.0.75 liter
- D.75 liters
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Correct answer: 0.75 liter
Correct answer: 0.75 liter. Divide by 1,000 to convert milliliters to liters: 750 ÷ 1,000 = 0.75 liter. The values 7.5 and 75 divide by 100 or 10, and 750,000 multiplies by 1,000.
How many minutes are in 2.5 hours?
- A.150 minutes
- B.125 minutes
- C.250 minutes
- D.90 minutes
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Correct answer: 150 minutes
Correct answer: 150 minutes. Multiply by 60: 2.5 × 60 = 150 minutes. The value 250 treats an hour as 100 minutes, 125 uses 50 minutes per hour, and 90 counts 1 hour 30 minutes.
A baby weighs 128 ounces. How many pounds is that?
- A.112 pounds
- B.12.8 pounds
- C.8 pounds
- D.2,048 pounds
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Correct answer: 8 pounds
Correct answer: 8 pounds. There are 16 ounces in a pound, so 128 ÷ 16 = 8 pounds. The value 12.8 divides by 10, 2,048 multiplies by 16, and 112 subtracts 16 instead of dividing.
A student converts 5 feet to inches by dividing 5 by 12. What should a paraeducator point out?
- A.Feet and inches are the same size, so keep the 5.
- B.Larger units mean more of them, so divide by 12 again.
- C.Inches are larger than feet, so subtract 12 from 5.
- D.Smaller units mean more of them, so multiply by 12.
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Correct answer: Smaller units mean more of them, so multiply by 12.
Correct answer: Smaller units mean more of them, so multiply by 12. Inches are smaller than feet, so the same length takes more inches: multiply, 5 × 12 = 60 inches. Dividing gives a smaller number, feet and inches are different sizes, and inches are not larger than feet.
Which shape has exactly one pair of parallel sides?
- A.rectangle
- B.rhombus
- C.square
- D.trapezoid
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Correct answer: trapezoid
Correct answer: trapezoid. A trapezoid, as the term is commonly taught in U.S. schools, has exactly one pair of parallel sides. A rectangle, a rhombus, and a square are parallelograms, which have two pairs of parallel sides.
A triangle has sides of 5 cm, 5 cm, and 8 cm. What kind of triangle is it?
- A.scalene
- B.isosceles
- C.equilateral
- D.right
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Correct answer: isosceles
Correct answer: isosceles. A triangle with exactly two equal sides is isosceles. An equilateral triangle has three equal sides, a scalene triangle has no equal sides, and a right triangle is classified by its angle (5² + 5² ≠ 8², so this is not a right triangle).
Which statement about a square is always true?
- A.It has two equal sides only.
- B.It is also a rectangle.
- C.It has one right angle.
- D.It has three equal sides.
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Correct answer: It is also a rectangle.
Correct answer: It is also a rectangle. A square has four right angles and opposite sides parallel, so it meets the definition of a rectangle. It has four right angles, not one, and all four of its sides are equal, not two or three.
A regular polygon has 6 equal sides and 6 equal angles. What is it called?
- A.a regular pentagon
- B.a regular hexagon
- C.a regular octagon
- D.a regular heptagon
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Correct answer: a regular hexagon
Correct answer: a regular hexagon. A six-sided polygon is a hexagon, and "regular" means all sides and angles are equal. A pentagon has 5 sides, a heptagon has 7, and an octagon has 8.
Which triangle has one angle that measures exactly 90°?
- A.an obtuse triangle
- B.a right triangle
- C.an equilateral triangle
- D.an acute triangle
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Correct answer: a right triangle
Correct answer: a right triangle. A right triangle has one 90° angle. An acute triangle has all angles less than 90°, an obtuse triangle has one angle greater than 90°, and an equilateral triangle has three 60° angles.
How many sides does an octagon have?
- A.5
- B.10
- C.6
- D.8
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Correct answer: 8
Correct answer: 8. An octagon (like a stop sign) has 8 sides. A hexagon has 6, a pentagon has 5, and a decagon has 10.
Two angles of a triangle measure 50° and 60°. What is the measure of the third angle?
- A.70°
- B.130°
- C.110°
- D.250°
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Correct answer: 70°
Correct answer: 70°. The angles of a triangle add up to 180°, so 180 − 50 − 60 = 70°. The value 110° is the sum of the two given angles, 130° subtracts only one of the angles (180 − 50), and 250° uses 360° as if the figure were a quadrilateral.
Which quadrilateral has four equal sides but does not always have right angles?
- A.rectangle
- B.trapezoid
- C.kite
- D.rhombus
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Correct answer: rhombus
Correct answer: rhombus. A rhombus has four equal sides, and its angles need not be 90°. A rectangle always has right angles but not always equal sides, a trapezoid has one pair of parallel sides, and a kite has two pairs of equal adjacent sides.
Three angles of a quadrilateral measure 90°, 90°, and 110°. What is the fourth angle?
- A.70°
- B.250°
- C.90°
- D.110°
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Correct answer: 70°
Correct answer: 70°. The angles of a quadrilateral add up to 360°: 360 − 90 − 90 − 110 = 70°. The value 250° is the sum of the given angles, and 90° and 110° repeat given angles.
A rectangular garden is 12 feet long and 5 feet wide. What is its area?
- A.120 square feet
- B.60 square feet
- C.17 square feet
- D.34 square feet
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Correct answer: 60 square feet
Correct answer: 60 square feet. Area of a rectangle = length × width = 12 × 5 = 60 square feet. The value 34 is the perimeter, 17 adds the length and width, and 120 doubles the area.
A rectangular yard is 30 feet long and 20 feet wide. How many feet of fencing are needed to go around it?
- A.100 feet
- B.120 feet
- C.50 feet
- D.600 feet
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Correct answer: 100 feet
Correct answer: 100 feet. Fencing goes around the yard, so find the perimeter: 2 × 30 + 2 × 20 = 100 feet. The value 600 is the area, 50 adds only one length and one width, and 120 counts the longer side four times.
A triangle has a base of 10 cm and a height of 6 cm. What is its area?
- A.16 square centimeters
- B.15 square centimeters
- C.60 square centimeters
- D.30 square centimeters
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Correct answer: 30 square centimeters
Correct answer: 30 square centimeters. Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 square centimeters. The value 60 forgets the ½, 16 adds the base and height, and 15 halves twice.
A box is 4 inches long, 3 inches wide, and 2 inches tall. What is its volume?
- A.24 cubic inches
- B.9 cubic inches
- C.52 cubic inches
- D.12 cubic inches
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Correct answer: 24 cubic inches
Correct answer: 24 cubic inches. Volume of a rectangular prism = length × width × height = 4 × 3 × 2 = 24 cubic inches. The value 9 adds the dimensions, 52 is the surface area, and 12 multiplies only two dimensions.
A square tile has sides of 9 inches. What is the perimeter of the tile?
- A.36 inches
- B.27 inches
- C.81 inches
- D.18 inches
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Correct answer: 36 inches
Correct answer: 36 inches. A square has four equal sides, so the perimeter is 4 × 9 = 36 inches. The value 81 is the area, 18 counts two sides, and 27 counts three sides.
What is the surface area of a cube with edges 3 cm long?
- A.27 square centimeters
- B.18 square centimeters
- C.36 square centimeters
- D.54 square centimeters
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Correct answer: 54 square centimeters
Correct answer: 54 square centimeters. A cube has 6 square faces, each 3 × 3 = 9 square centimeters, so the surface area is 6 × 9 = 54. The value 27 is the volume, 18 counts only two faces, and 36 counts four faces.
A room is 10 feet by 12 feet. Carpet costs $3 per square foot. How much will it cost to carpet the room?
- A.$132
- B.$66
- C.$120
- D.$360
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Correct answer: $360
Correct answer: $360. The area is 10 × 12 = 120 square feet, and 120 × $3 = $360. The value $120 is the area without the price, $132 multiplies the perimeter (44 feet) by 3, and $66 multiplies the sum of the sides (22) by 3.
A rectangle has an area of 48 square meters and a length of 8 meters. What is its width?
- A.384 meters
- B.6 meters
- C.40 meters
- D.20 meters
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Correct answer: 6 meters
Correct answer: 6 meters. Area = length × width, so width = 48 ÷ 8 = 6 meters. The value 40 subtracts, 384 multiplies, and 20 treats 48 as the perimeter ((48 − 2 × 8) ÷ 2).
A circle has a radius of 5 inches. Using 3.14 for π, what is its circumference?
- A.78.5 inches
- B.15.7 inches
- C.314 inches
- D.31.4 inches
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Correct answer: 31.4 inches
Correct answer: 31.4 inches. Circumference = 2πr = 2 × 3.14 × 5 = 31.4 inches. The value 78.5 is the area (πr²), 15.7 uses the radius in place of the diameter (πr), and 314 misplaces the decimal.
A sandbox is 6 feet long, 4 feet wide, and 1.5 feet deep. How many cubic feet of sand will fill it?
- A.11.5 cubic feet
- B.36 cubic feet
- C.20 cubic feet
- D.24 cubic feet
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Correct answer: 36 cubic feet
Correct answer: 36 cubic feet. Volume = 6 × 4 × 1.5 = 36 cubic feet. The value 11.5 adds the dimensions, 24 ignores the depth, and 20 is the perimeter of the base.
A student says a 3-inch by 5-inch card has an area of 16 square inches. What did the student most likely find?
- A.the area, since 3 × 5 + 1 is exactly 16
- B.the volume, since 3 × 5 × 1 = 16
- C.the diagonal, since 3 + 5 + 8 = 16
- D.the perimeter, since 3 + 5 + 3 + 5 = 16
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Correct answer: the perimeter, since 3 + 5 + 3 + 5 = 16
Correct answer: the perimeter, since 3 + 5 + 3 + 5 = 16. Adding all four sides, 3 + 5 + 3 + 5 = 16, gives the perimeter, not the area (3 × 5 = 15 square inches). The other explanations use calculations that do not equal 16 (3 × 5 × 1 = 15) or have no geometric meaning.
Which situation requires finding area rather than perimeter?
- A.walking once around the school track
- B.placing lights along the edge of a roof
- C.covering a floor with square tiles
- D.putting a wooden border around a rug
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Correct answer: covering a floor with square tiles
Correct answer: covering a floor with square tiles. Covering a floor fills a surface, which is area. A border around a rug, a lap around a track, and lights along an edge all measure the distance around, which is perimeter.
Point P is located 3 units to the right of the origin and 5 units down. What are its coordinates?
- A.(−3, −5)
- B.(3, 5)
- C.(−5, 3)
- D.(3, −5)
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Correct answer: (3, −5)
Correct answer: (3, −5). The x-coordinate gives horizontal position (right is positive) and the y-coordinate gives vertical position (down is negative), so P is (3, −5). The point (−5, 3) reverses the order, (3, 5) is up rather than down, and (−3, −5) is to the left.
In which quadrant is the point (−4, 2)?
- A.Quadrant III
- B.Quadrant II
- C.Quadrant IV
- D.Quadrant I
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Correct answer: Quadrant II
Correct answer: Quadrant II. A negative x-coordinate and a positive y-coordinate place a point in Quadrant II (upper left). Quadrant I has both coordinates positive, Quadrant III both negative, and Quadrant IV has positive x and negative y.
What are the coordinates of the origin?
- A.(0, 0)
- B.(1, 1)
- C.(1, 0)
- D.(0, 1)
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Correct answer: (0, 0)
Correct answer: (0, 0). The origin is where the x-axis and y-axis cross, at (0, 0). The other points are one unit away from the origin.
Which point lies on the y-axis?
- A.(−6, −6)
- B.(−6, 0)
- C.(0, −6)
- D.(6, 6)
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Correct answer: (0, −6)
Correct answer: (0, −6). Every point on the y-axis has an x-coordinate of 0, so (0, −6) lies on it. The point (−6, 0) is on the x-axis, and (6, 6) and (−6, −6) are not on either axis.
A student plots the point (2, 7) by moving up 2 and right 7. What should a paraeducator remind the student?
- A.Move along the x-axis first, then the y-axis.
- B.Always move left for the first coordinate.
- C.Move along the y-axis first, then the x-axis.
- D.Add the two numbers and move that many units.
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Correct answer: Move along the x-axis first, then the y-axis.
Correct answer: Move along the x-axis first, then the y-axis. An ordered pair is (x, y): move horizontally by the first number and then vertically by the second, so (2, 7) is right 2 and up 7. Moving vertically first reverses the pair, adding the numbers loses the location, and a positive first coordinate means moving right, not left.
Points A(1, 1), B(5, 1), and C(5, 4) are three corners of a rectangle. What are the coordinates of the fourth corner?
- A.(4, 5)
- B.(5, 5)
- C.(1, 4)
- D.(4, 1)
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Correct answer: (1, 4)
Correct answer: (1, 4). The fourth corner must line up vertically with A (x = 1) and horizontally with C (y = 4), so it is (1, 4). The point (4, 1) reverses the coordinates, and (4, 5) and (5, 5) do not complete a rectangle with the given corners.
What is the distance between the points (2, 3) and (2, 9)?
- A.7 units
- B.12 units
- C.11 units
- D.6 units
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Correct answer: 6 units
Correct answer: 6 units. The points share the same x-coordinate, so the distance is the difference in y-coordinates: 9 − 3 = 6 units. The value 12 adds 3 and 9, 7 subtracts 2 from 9, and 11 adds the x- and y-coordinates of one point (2 + 9).
A point has a positive x-coordinate and a negative y-coordinate. In which quadrant is it?
- A.Quadrant IV
- B.Quadrant II
- C.Quadrant III
- D.Quadrant I
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Correct answer: Quadrant IV
Correct answer: Quadrant IV. Positive x (right of the y-axis) and negative y (below the x-axis) place the point in Quadrant IV, the lower right. Quadrant I is (+, +), Quadrant II is (−, +), and Quadrant III is (−, −).
A student is stuck on a word problem about the area of a rectangular garden. Which first step should a paraeducator suggest?
- A.Draw and label a sketch of the garden with its sides.
- B.Skip the problem and come back to it on another day.
- C.Guess an answer and then check it on the calculator.
- D.Add all the numbers in the problem to find the total.
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Correct answer: Draw and label a sketch of the garden with its sides.
Correct answer: Draw and label a sketch of the garden with its sides. Drawing and labeling a sketch helps the student see the shape and choose the right formula. Guessing, adding every number, or skipping the problem does not build the problem-solving process.
A picture frame is 8 inches by 10 inches. A student wants to glue ribbon around the edge. How much ribbon is needed?
- A.80 inches
- B.36 inches
- C.40 inches
- D.18 inches
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Correct answer: 36 inches
Correct answer: 36 inches. Ribbon around the edge is the perimeter: 2 × 8 + 2 × 10 = 36 inches. The value 80 is the area, 18 counts only two sides, and 40 counts the 10-inch side four times.
A student finds the area of a 7 m by 4 m rectangle and writes "28 m." Which prompt best helps the student?
- A.What unit do we use to measure volume?
- B.What is 7 times 4 when you check again?
- C.What unit do we use when we measure area?
- D.What is the formula for a triangle's area?
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Correct answer: What unit do we use when we measure area?
Correct answer: What unit do we use when we measure area? The number 28 is correct, but area is measured in square units (28 m²). Asking about the unit for area targets the actual error. Rechecking 7 × 4 does not address the unit, and triangle area and volume units are not relevant.
A school wants to cover a 20-foot by 30-foot playground with rubber mats. Each mat is 5 feet by 5 feet. How many mats are needed?
- A.10
- B.100
- C.24
- D.120
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Correct answer: 24
Correct answer: 24. The playground's area is 20 × 30 = 600 square feet, and each mat covers 5 × 5 = 25 square feet, so 600 ÷ 25 = 24 mats. The value 120 divides by 5 instead of 25, 100 uses the perimeter, and 10 divides the perimeter by 10.
A paraeducator is helping a student find the perimeter of an L-shaped room. Which strategy is most helpful?
- A.Find the area and then divide the area by four.
- B.Multiply the two longest sides together to find it.
- C.Measure only the two shortest sides and double them.
- D.Label every side on a drawing, then add them all.
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Correct answer: Label every side on a drawing, then add them all.
Correct answer: Label every side on a drawing, then add them all. Perimeter is the total distance around, so labeling every side of the L-shape (including the ones found by subtracting) and adding them works for any shape. Multiplying sides gives area, dividing area by four has no meaning here, and doubling two sides works only for rectangles.
A square garden has an area of 64 square feet. What is the length of one side?
- A.32 feet
- B.16 feet
- C.128 feet
- D.8 feet
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Correct answer: 8 feet
Correct answer: 8 feet. A square's area is side × side, and 8 × 8 = 64, so each side is 8 feet. The value 16 divides the area by 4 (as if it were the perimeter), 32 halves the area, and 128 doubles it.
A student must find the area of a triangle with a base of 12 and a height of 5 but multiplies only 12 × 5. What should the paraeducator ask?
- A.Is the height always longer than the triangle's base?
- B.Is a triangle the whole rectangle, or only half?
- C.Did you add the base and the height together first?
- D.Should you multiply the answer by two to double it?
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Correct answer: Is a triangle the whole rectangle, or only half?
Correct answer: Is a triangle the whole rectangle, or only half? A triangle with the same base and height as a rectangle covers half of it, so the area is ½ × 12 × 5 = 30. Asking about half the rectangle leads the student to the missing ½. Adding the dimensions, doubling, and comparing the base and height do not fix the error.
A rectangular pool is 25 meters long and 10 meters wide. A walking path 1 meter wide goes all the way around it. What is the outer perimeter of the path?
- A.78 meters
- B.324 meters
- C.70 meters
- D.74 meters
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Correct answer: 78 meters
Correct answer: 78 meters. Adding 1 meter on each side makes the outer rectangle 27 by 12 meters, so its perimeter is 2 × 27 + 2 × 12 = 78 meters. The value 70 is the pool's own perimeter, 74 adds only 1 meter to each dimension (26 by 11), and 324 is the area of the outer rectangle (27 × 12), not a perimeter.
The number of books read by five students is 3, 7, 4, 7, and 9. What is the range of the data?
- A.6
- B.3
- C.7
- D.9
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Correct answer: 6
Correct answer: 6. Range = greatest − least = 9 − 3 = 6. The value 7 is the mode, 9 is the maximum, and 3 is the minimum.
A table shows the daily high temperatures for a week: 71, 68, 74, 70, 68, 75, 72. How many days had a high above 70?
- A.4
- B.2
- C.5
- D.3
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Correct answer: 4
Correct answer: 4. The highs above 70 are 71, 74, 75, and 72, which is 4 days. Counting 5 wrongly includes the day that was exactly 70, which is not above 70; 3 and 2 miss days that were above 70.
Test scores for a small group are 82, 90, 75, 90, and 88. What is the mode?
- A.90
- B.85
- C.88
- D.15
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Correct answer: 90
Correct answer: 90. The mode is the value that appears most often, and 90 appears twice. The value 85 is the mean, 88 is the median, and 15 is the range.
A list of data values is 12, 15, 11, 18, and 14. After the values are put in order, which value is in the middle?
- A.11
- B.14
- C.15
- D.12
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Correct answer: 14
Correct answer: 14. In order the values are 11, 12, 14, 15, 18, so 14 is in the middle. Choosing 11 reads the smallest value, and 12 and 15 are next to the middle.
A student records how many pets each classmate has: 0, 1, 1, 2, 0, 3, 1. Which statement about the data is true?
- A.One pet is more common than any other number.
- B.The greatest number of pets is 2 per classmate.
- C.Most classmates have more than 2 pets each.
- D.No classmate has zero pets at home.
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Correct answer: One pet is more common than any other number.
Correct answer: One pet is more common than any other number. The value 1 appears three times, more than any other value. Only one classmate has more than 2 pets, the greatest value is 3, and two classmates have 0 pets.
Which data set has a range of 10?
- A.2, 5, 10
- B.4, 9, 14
- C.1, 10, 20
- D.10, 12, 15
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Correct answer: 4, 9, 14
Correct answer: 4, 9, 14. The range of 4, 9, 14 is 14 − 4 = 10. The other ranges are 15 − 10 = 5, 10 − 2 = 8, and 20 − 1 = 19.
A table shows the number of students absent each day: Mon 3, Tue 1, Wed 4, Thu 2, Fri 5. What is the total number of absences for the week?
- A.15
- B.14
- C.5
- D.3
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Correct answer: 15
Correct answer: 15. Add the daily values: 3 + 1 + 4 + 2 + 5 = 15. The value 5 is the greatest daily value, 3 is the mean, and 14 leaves out Tuesday's absence.
In a list of test scores, one student scored 20 while the others scored between 80 and 95. What is the score of 20 called?
- A.the range
- B.an outlier
- C.the mode
- D.the median
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Correct answer: an outlier
Correct answer: an outlier. A value far from the rest of the data is an outlier. The mode is the most frequent value, the median is the middle value, and the range is the spread between greatest and least.
Which is the best way to organize the heights of 25 students so that the tallest and shortest are easy to find?
- A.List the heights in order from least to greatest.
- B.List only the heights that appear more than once.
- C.List the heights in the order students arrived.
- D.List the heights in alphabetical order by name.
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Correct answer: List the heights in order from least to greatest.
Correct answer: List the heights in order from least to greatest. Ordering the values from least to greatest puts the shortest first and the tallest last and also makes the median easy to find. Arrival order and alphabetical order do not sort by height, and listing only repeated heights leaves data out.
A line graph shows a town's population: 2010, 4,000; 2015, 5,500; 2020, 7,000. By how much did the population increase from 2010 to 2020?
- A.11,000
- B.3,000
- C.7,000
- D.1,500
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Correct answer: 3,000
Correct answer: 3,000. 7,000 − 4,000 = 3,000. The value 1,500 is the increase for one five-year period, 7,000 is the 2020 population, and 11,000 adds the first and last values.
A circle graph shows how Mia spends a $200 budget: 40% food, 30% rent share, 20% transportation, 10% savings. How much does she spend on transportation?
- A.$60
- B.$80
- C.$20
- D.$40
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Correct answer: $40
Correct answer: $40. 20% of $200 is 0.20 × 200 = $40. The value $20 uses the percent as dollars (or is 10%), $60 is the rent share (30%), and $80 is food (40%).
In a circle graph, one section represents 25% of the data. What fraction of the circle is this section?
- A.one-fourth
- B.one-fifth
- C.one-half
- D.one-third
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Correct answer: one-fourth
Correct answer: one-fourth. 25% = 25/100 = 1/4, so the section is one-fourth of the circle (a 90° slice). One-half is 50%, one-third is about 33%, and one-fifth is 20%.
A bar graph shows students' favorite fruits: apples 8, bananas 5, grapes 10, oranges 7. How many students were surveyed in all?
- A.30
- B.25
- C.4
- D.10
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Correct answer: 30
Correct answer: 30. Add all the bars: 8 + 5 + 10 + 7 = 30 students. The value 10 is the tallest bar, 4 is the number of fruits, and 25 leaves out the bananas bar (8 + 10 + 7).
A pictograph key shows that each star equals 10 books. A row shows 3½ stars. How many books does the row represent?
- A.30
- B.3.5
- C.40
- D.35
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Correct answer: 35
Correct answer: 35. Each star is 10 books, so 3½ stars = 3.5 × 10 = 35 books. The value 3.5 counts stars without the key, 30 ignores the half star, and 40 rounds the half star up to a whole.
A line graph shows a plant's height rising steeply from week 1 to week 3 and then staying flat from week 3 to week 5. What happened during weeks 3 to 5?
- A.The plant grew faster than before.
- B.The plant's height was decreasing.
- C.The plant was measured less often.
- D.The plant's height did not change.
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Correct answer: The plant's height did not change.
Correct answer: The plant's height did not change. A flat line segment means the value stayed the same, so the height did not change. A steeper rise would show faster growth, a falling line would show a decrease, and the graph gives no information about how often it was measured.
Which type of graph is best for showing how a city's temperature changed each hour during one day?
- A.a line graph
- B.a Venn diagram
- C.a circle graph
- D.a pictograph
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Correct answer: a line graph
Correct answer: a line graph. A line graph shows how a quantity changes over time. A circle graph shows parts of a whole, a pictograph shows counts with symbols, and a Venn diagram shows overlapping categories.
A double bar graph compares boys' and girls' votes for a class trip: museum (boys 6, girls 9), zoo (boys 10, girls 7). Which trip got more votes in total?
- A.the museum, with 16 votes
- B.the zoo, with 17 votes
- C.the museum, with 15 votes
- D.the zoo, with 10 votes
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Correct answer: the zoo, with 17 votes
Correct answer: the zoo, with 17 votes. The zoo received 10 + 7 = 17 votes and the museum 6 + 9 = 15 votes, so the zoo got more. The zoo with 10 counts only the boys, and 16 miscounts the museum's total.
A bar graph's scale counts by 20s. A bar ends halfway between the 60 and 80 lines. What value does the bar show?
- A.61
- B.65
- C.75
- D.70
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Correct answer: 70
Correct answer: 70. Halfway between 60 and 80 is 70. The values 61 and 65 assume a smaller scale, and 75 is three-quarters of the way.
What is the mean of 4, 8, 6, 10, and 7?
- A.8.75
- B.7
- C.6
- D.35
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Correct answer: 7
Correct answer: 7. Mean = sum ÷ count = (4 + 8 + 6 + 10 + 7) ÷ 5 = 35 ÷ 5 = 7. The value 35 is the sum, 8.75 divides the sum by 4 instead of 5, and 6 is the range (10 − 4).
What is the median of 3, 9, 5, 12, 7, and 1?
- A.8.5
- B.7
- C.5
- D.6
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Correct answer: 6
Correct answer: 6. Order the values: 1, 3, 5, 7, 9, 12. With an even count, the median is the mean of the two middle values: (5 + 7) ÷ 2 = 6. Choosing 5 or 7 picks only one middle value, and 8.5 averages the two middle values of the unsorted list ((5 + 12) ÷ 2).
A student's quiz scores are 80, 85, 90, and 95. What score does the student need on the fifth quiz to have a mean of 88?
- A.90
- B.100
- C.88
- D.92
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Correct answer: 90
Correct answer: 90. A mean of 88 over 5 quizzes requires a total of 88 × 5 = 440 points. The first four total 350, so the fifth must be 440 − 350 = 90. Scoring 88 would give a mean of 87.6, 92 would give 88.4, and 100 would give 90.
A data set is 2, 3, 3, 4, and 38. Which measure of center best describes a typical value?
- A.the mean, because the outlier makes it more exact
- B.the median, because the outlier pulls the mean up
- C.the range, because it shows the spread of values
- D.the mean, because it uses every value in the set
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Correct answer: the median, because the outlier pulls the mean up
Correct answer: the median, because the outlier pulls the mean up. The outlier 38 pulls the mean up to 10, far above most of the data, while the median (3) stays with the typical values. Using every value is why the mean is distorted here, and the range measures spread rather than a typical value.
The ages of five children are 6, 8, 8, 9, and 14. What is the range?
- A.6
- B.8
- C.14
- D.20
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Correct answer: 8
Correct answer: 8. Range = 14 − 6 = 8. The value 6 is the minimum, 14 is the maximum, and 20 adds them instead of subtracting.
Which data set has a mean of 5?
- A.3, 5, 9
- B.2, 4, 9
- C.1, 5, 10
- D.5, 6, 7
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Correct answer: 2, 4, 9
Correct answer: 2, 4, 9. The mean of 2, 4, 9 is 15 ÷ 3 = 5. The other sets have means of 16 ÷ 3 ≈ 5.3, 18 ÷ 3 = 6, and 17 ÷ 3 ≈ 5.7.
A shop sold these numbers of shirts over six days: 12, 15, 12, 18, 20, 12. What is the mode?
- A.8
- B.12
- C.15
- D.14.8
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Correct answer: 12
Correct answer: 12. The mode is the most frequent value: 12 appears three times. The value 14.8 is the mean (89 ÷ 6 ≈ 14.8), 15 averages the two middle values without sorting first ((12 + 18) ÷ 2; the true median is 13.5), and 8 is the range (20 − 12).
If every value in a data set is increased by 5, what happens to the mean?
- A.It increases by 5.
- B.It is multiplied by 5.
- C.It decreases by 5.
- D.It stays the same.
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Correct answer: It increases by 5.
Correct answer: It increases by 5. Adding 5 to each value adds 5 × n to the sum, and dividing by n adds exactly 5 to the mean. The mean does not stay the same, is not multiplied by 5, and does not decrease.
The mean of four numbers is 12. What is their sum?
- A.16
- B.3
- C.8
- D.48
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Correct answer: 48
Correct answer: 48. Sum = mean × count = 12 × 4 = 48. The value 3 divides 12 by 4, 16 adds 12 and 4, and 8 subtracts.
A student finds the median of 7, 2, 9, 4, 5 by choosing the middle number, 9. What should a paraeducator point out?
- A.The median is always the largest value in any data set.
- B.The median is found by adding all of the values together.
- C.The values must be doubled before finding the middle one.
- D.The values must be put in order before finding it.
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Correct answer: The values must be put in order before finding it.
Correct answer: The values must be put in order before finding it. The median is the middle of the ORDERED list: 2, 4, 5, 7, 9, so the median is 5. The median is not the largest value, adding the values is the first step of the mean, and doubling the values has no role.
References
- 1.ETS. “ParaPathways Assessment (5757; subtests 5758 and 5759).” parapro.ets.org. ↑
- 2.ETS. “The ParaPathways Study Companion — 5757 (Reading and Writing 5758, Mathematics 5759).” ETS, via the Rhode Island Department of Education. ↑
- 3.ETS. “2026–27 ParaPro Assessment Information Bulletin (covers the ParaPro 1755 and ParaPathways 5757 Assessments; effective August 1, 2026 – July 31, 2027).” ets.org. ↑
- 4.ETS. “ParaPathways and ParaPro — State Requirements.” parapro.ets.org. ↑
- 5.ETS (reproduced by the Connecticut State Board of Education). “Multi-State Standard Setting Technical Report: ParaPathways Reading and Writing (5758) and Mathematics (5759).” portal.ct.gov, November 5, 2025. ↑

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