Your FREE Georgia Assessments for the Certification of Educators (GACE) Practice Test 2026 – 340+ Q&A
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Test I: Reading (210)
Test II: Mathematics (211)
Test III: Writing (212)
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GACE Practice Questions
In reading comprehension, what is the main idea of a passage?
The list of vocabulary words the author defines
The most important point the author wants the reader to understand
The personal opinion of the reader after finishing the text
A single descriptive detail that appears in the first sentence
Correct answer: The most important point the author wants the reader to understand
The main idea is the most important point the author wants the reader to understand. It is the central message that the rest of the passage supports, not merely an isolated detail, a reader's opinion, or a vocabulary list.
A passage about urban gardens repeatedly returns to the claim that community plots improve neighborhood health. The author gives examples of fresh produce access, exercise, and social connection. Which statement best expresses the main idea?
Community gardens improve neighborhood health in several ways
Exercise is the single most important factor in good health
Cities should pass laws requiring every block to have a garden
Fresh vegetables are cheaper at farmers markets than in stores
Correct answer: Community gardens improve neighborhood health in several ways
The best statement of the main idea is that community gardens improve neighborhood health in several ways. This unifies all the supporting examples the author lists, while the other choices are narrow details or claims the passage does not make.
When a reading passage offers facts, examples, and reasons that explain or back up the central point, those elements are best called the:
Concluding paraphrase
Counterarguments
Supporting details
Author's biography
Correct answer: Supporting details
These elements are best called the supporting details. Supporting details are the facts, examples, and reasons that explain or reinforce the main idea, distinguishing them from counterarguments, biographical notes, or a paraphrase.
A paragraph states: 'The bridge had been closed for repairs for three years. Detour signs were faded, and weeds grew through the cracks in the approach.' Which detail best supports the implied point that the project had stalled?
The repairs being scheduled at all
The bridge being made of concrete
Weeds growing through the cracks in the approach
The detour route leading downtown
Correct answer: Weeds growing through the cracks in the approach
The strongest support is the weeds growing through the cracks in the approach. Plant growth in the structure signals long-term neglect, reinforcing the idea that the project had stalled, while the other options do not indicate delay.
What does it mean to make an inference while reading a passage?
To reach a logical conclusion based on textual evidence and reasoning
To copy the author's exact words into your notes
To memorize the title and first paragraph
To skip difficult sentences and move on
Correct answer: To reach a logical conclusion based on textual evidence and reasoning
Making an inference means reaching a logical conclusion based on textual evidence and reasoning. It involves reading between the lines using clues the author provides, not copying words, skipping text, or memorizing the opening.
A passage notes that a character 'pulled her coat tighter and watched her breath form clouds.' What can the reader most reasonably infer?
The character dislikes coats
It is the middle of summer
The weather is cold
The character is wealthy
Correct answer: The weather is cold
The reader can most reasonably infer that the weather is cold. Visible breath and tightening a coat are textual clues pointing to low temperature; the other choices are not supported by the details.
A short text describes an empty classroom with stacked chairs, a cleared bulletin board, and a calendar still showing June. What can a reader most reasonably infer?
Students are taking a final exam right now
The teacher just arrived for the morning
A fire drill is in progress
The school year has recently ended
Correct answer: The school year has recently ended
The most reasonable inference is that the school year has recently ended. Stacked chairs, a cleared board, and a June calendar together signal the close of the term rather than an active class or drill.
In an article describing a town's recovery after a flood, the author writes mainly to:
Sell flood insurance to readers
Compare two unrelated recipes
Inform readers about the recovery effort
Tell a fictional adventure story
Correct answer: Inform readers about the recovery effort
The author writes mainly to inform readers about the recovery effort. An article that describes events and facts about a recovery has an informational purpose rather than a persuasive, fictional, or instructional one.
Which question best helps a reader determine an author's primary purpose?
Is the author mainly trying to inform, persuade, or entertain?
How long is each paragraph in the passage?
What color is the magazine the article appeared in?
How many commas does the first sentence contain?
Correct answer: Is the author mainly trying to inform, persuade, or entertain?
The most useful question is whether the author is mainly trying to inform, persuade, or entertain. Identifying the dominant aim reveals purpose, whereas paragraph length, page color, and punctuation counts do not.
An opinion column argues that a city should expand its bus routes, citing reduced traffic and lower emissions. The author's primary purpose is to:
Entertain readers with a humorous anecdote
Describe the history of the automobile
Persuade readers to support expanded bus service
Provide neutral statistics with no conclusion
Correct answer: Persuade readers to support expanded bus service
The primary purpose is to persuade readers to support expanded bus service. The column takes a clear position and offers reasons to convince readers, which is persuasion rather than neutral reporting, history, or entertainment.
What does it mean to paraphrase a passage?
To quote the passage word for word
To translate it into another language only
To restate the meaning in your own words
To shorten it by deleting all examples
Correct answer: To restate the meaning in your own words
Paraphrasing means restating the meaning in your own words. A good paraphrase preserves the original idea while changing the wording, unlike direct quotation, translation alone, or simply deleting content.
Original sentence: 'Despite limited funding, the research team completed the study ahead of schedule.' Which is the most accurate paraphrase?
The team had plenty of money and finished late
The team canceled the study because of low funding
Funding had no effect on the research team's timeline
Even with little money, the team finished the study early
Correct answer: Even with little money, the team finished the study early
The most accurate paraphrase is that even with little money, the team finished the study early. It preserves both the limited funding and the ahead-of-schedule completion, while the other choices distort or reverse the meaning.
A student paraphrases a source but keeps several of the author's distinctive phrases unchanged. What is the main problem with this paraphrase?
It cites the source twice instead of once
It relies too heavily on the original wording
It changes the meaning of the source
It is too short to include any ideas
Correct answer: It relies too heavily on the original wording
The main problem is that it relies too heavily on the original wording. A genuine paraphrase recasts ideas in fresh language; keeping the author's distinctive phrases means the wording was not adequately changed.
An author's tone in a passage refers to the author's:
Attitude toward the subject
Total word count
Choice of font size
Use of page numbers
Correct answer: Attitude toward the subject
Tone refers to the author's attitude toward the subject. It is conveyed through word choice and style, not through formatting features such as font, page numbers, or word count.
A reviewer writes: 'This so-called masterpiece is a tedious slog that wastes two precious hours of anyone's life.' The tone is best described as:
Hopeful
Scornful
Admiring
Neutral
Correct answer: Scornful
The tone is best described as scornful. Phrases like 'so-called masterpiece,' 'tedious slog,' and 'wastes' express contempt, which is the opposite of admiration, neutrality, or hope.
An essay about a beloved childhood home uses warm descriptions and fond memories. Which word best describes the author's attitude?
Hostile
Nostalgic
Indifferent
Alarmed
Correct answer: Nostalgic
The author's attitude is best described as nostalgic. Warm descriptions and fond memories of the past convey longing for an earlier time, unlike hostility, indifference, or alarm.
Context clues help a reader determine the meaning of an unfamiliar word by using:
The surrounding words and sentences
The font in which the word is printed
The page number where the word appears
The first letter of the word alone
Correct answer: The surrounding words and sentences
Context clues are the surrounding words and sentences. Readers infer meaning from how a word is used nearby, not from formatting, location, or a single letter.
In the sentence 'The arid desert received almost no rain for years, leaving the soil dry and cracked,' the word 'arid' most likely means:
Colorful
Loud
Crowded
Dry
Correct answer: Dry
The word 'arid' most likely means dry. The context of almost no rain and dry, cracked soil signals dryness rather than crowding, color, or sound.
Read: 'The mediator remained impartial, refusing to favor either side during the dispute.' Using context, 'impartial' most nearly means:
Wealthy and famous
Confused and uncertain
Fair and unbiased
Angry and loud
Correct answer: Fair and unbiased
In context, 'impartial' most nearly means fair and unbiased. The clue that the mediator refused to favor either side points to neutrality, not anger, wealth, or confusion.
In a passage, transition words such as 'however' and 'on the other hand' most often signal:
The end of the document
A list of names
A contrast between ideas
A definition of a term
Correct answer: A contrast between ideas
These transitions most often signal a contrast between ideas. Words like 'however' and 'on the other hand' alert the reader to a shift or opposition, not a list, a definition, or a conclusion.
Which transition word would best signal that the author is adding a result or consequence?
Therefore
Meanwhile
Beside
Although
Correct answer: Therefore
The best choice is 'therefore.' It signals a result or consequence, while 'although' shows contrast, 'meanwhile' shows time, and 'beside' shows place.
A passage reads: 'First, gather your materials. Next, measure the wood. Finally, cut along the marked line.' The signal words indicate that the passage is organized by:
Geographic location
Cause and effect
Comparison of two items
Sequence of steps
Correct answer: Sequence of steps
The signal words indicate organization by sequence of steps. 'First,' 'next,' and 'finally' mark chronological order, not comparison, causation, or location.
Text structure in a passage refers to:
The reader's mood while reading
The number of authors who wrote it
The brand of paper used to print it
The way ideas are organized and arranged
Correct answer: The way ideas are organized and arranged
Text structure refers to the way ideas are organized and arranged. Examples include cause-effect or compare-contrast patterns, not physical materials, reader mood, or authorship counts.
A passage explains why a coral reef declined: warmer water caused bleaching, which reduced fish populations, which collapsed the local economy. This passage is organized using which structure?
Question and answer
Definition and example
Spatial description
Cause and effect
Correct answer: Cause and effect
The passage is organized using cause and effect. It traces a chain in which each event produces the next, rather than defining a term, posing questions, or describing space.
An article presents the advantages and disadvantages of online learning side by side. Which text structure does this represent?
Chronological order
Problem and solution
Compare and contrast
Spatial sequence
Correct answer: Compare and contrast
This represents a compare-and-contrast structure. Presenting advantages alongside disadvantages weighs similarities and differences, unlike chronological, problem-solution, or spatial organization.
A passage describes a recurring problem with school lunch waste and then proposes a composting program to address it. This text structure is best identified as:
Chronological order
Cause and effect
Compare and contrast
Problem and solution
Correct answer: Problem and solution
This is best identified as problem and solution. The passage first names a difficulty and then offers a remedy, which differs from cause-effect, comparison, or time-ordered structures.
Which statement from a passage is a fact rather than an opinion?
The library is the most beautiful building in town
Everyone should visit the library more often
The library opened in 1912
The library's design is far too plain
Correct answer: The library opened in 1912
The factual statement is that the library opened in 1912. A fact can be verified, whereas judgments about beauty, what people should do, or design taste express opinions.
Which signal most reliably marks a sentence as an opinion?
A proper name
Evaluative words such as 'best' or 'should'
A measurement unit
An exact date or number
Correct answer: Evaluative words such as 'best' or 'should'
The most reliable signal of opinion is evaluative language such as 'best' or 'should.' These words express judgment or preference, while dates, names, and measurements typically indicate verifiable facts.
A reviewer writes: 'The museum holds 4,000 artifacts, and it is clearly the finest collection in the state.' Which part is opinion?
The collection contains artifacts
The museum is a museum
The museum holds 4,000 artifacts
It is clearly the finest collection in the state
Correct answer: It is clearly the finest collection in the state
The opinion is that it is clearly the finest collection in the state. 'Finest' is a value judgment that cannot be verified, unlike the countable claim of 4,000 artifacts.
When a reader evaluates an author's argument, the reader is primarily judging whether the:
Reasons and evidence adequately support the claim
Passage uses an attractive layout
Sentences are all the same length
Author lives in a large city
Correct answer: Reasons and evidence adequately support the claim
Evaluating an argument means judging whether the reasons and evidence adequately support the claim. The strength of the support matters, not layout, the author's residence, or sentence length.
An author argues that a new highway will reduce commute times but offers no data and only one personal story. The argument is weak mainly because it:
The argument is weak mainly because it lacks sufficient supporting evidence. A single anecdote without data does not adequately back the claim, regardless of tone or thesis clarity.
Which addition would most strengthen an author's argument that a recycling program saves money?
More adjectives describing the program
A list of the author's hobbies
Verified cost-savings data from cities with similar programs
A longer introduction restating the topic
Correct answer: Verified cost-savings data from cities with similar programs
The strongest addition is verified cost-savings data from comparable cities. Relevant evidence supports the claim, whereas restatement, decorative adjectives, and unrelated personal details do not.
In an argumentative passage, a 'claim' is best understood as:
A definition from a dictionary
The main position the author wants readers to accept
A footnote citation
A randomly chosen sentence
Correct answer: The main position the author wants readers to accept
A claim is the main position the author wants readers to accept. It is the assertion the argument defends, distinct from an arbitrary sentence, a citation, or a dictionary definition.
A passage claims that students sleep too little and then cites a study showing average sleep of five hours on school nights. The study functions as:
Evidence supporting the claim
A counterclaim against the author
An unrelated tangent
A restatement of the title
Correct answer: Evidence supporting the claim
The study functions as evidence supporting the claim. Data on average sleep backs the assertion that students sleep too little, rather than opposing it or being unrelated.
An author claims that a town needs more parks. Which sentence provides the most relevant evidence for that claim?
Parks are common in many other states
The mayor enjoys gardening on weekends
The town was founded over a century ago
A survey shows 80 percent of residents want more green space
Correct answer: A survey shows 80 percent of residents want more green space
The most relevant evidence is the survey showing 80 percent of residents want more green space. It directly supports the local need for parks, unlike the town's age, the mayor's hobby, or a general statement about other states.
When two passages discuss the same topic, comparing them means identifying their:
Identical fonts
Similarities and differences in ideas
Page numbers only
Authors' birthdates
Correct answer: Similarities and differences in ideas
Comparing two passages means identifying their similarities and differences in ideas. The focus is on how the texts agree or disagree about the topic, not formatting or biographical trivia.
Passage A argues that homework improves learning, while Passage B argues that homework causes stress without academic gains. The two passages primarily:
Agree on every point about homework
Use the same example to reach the same conclusion
Discuss completely unrelated topics
Disagree about the value of homework
Correct answer: Disagree about the value of homework
The two passages primarily disagree about the value of homework. One sees a benefit and the other sees harm, so they conflict rather than agree or address unrelated topics.
Two passages both describe a national park, but one focuses on wildlife and the other on tourism revenue. A reader comparing them would best note that the passages:
Were written by the same author
Contradict each other on basic facts
Share a topic but emphasize different aspects
Reach the same overall conclusion
Correct answer: Share a topic but emphasize different aspects
A reader would best note that the passages share a topic but emphasize different aspects. Both cover the park, yet one stresses wildlife and the other revenue, which is a difference in focus rather than contradiction.
In a reading passage, a chart or graph is typically included to:
Replace the need to read any sentences
Present data that supports or clarifies the text
Show the author's signature
Decorate the page with color
Correct answer: Present data that supports or clarifies the text
A chart or graph is typically included to present data that supports or clarifies the text. Visuals reinforce or illustrate the written content rather than serving as decoration or a substitute for reading.
Drawing a conclusion from a text means:
Listing every noun in the passage
Combining textual details to reach a reasoned judgment
Guessing without using any evidence
Reading only the last sentence
Correct answer: Combining textual details to reach a reasoned judgment
Drawing a conclusion means combining textual details to reach a reasoned judgment. It synthesizes information across the passage rather than relying on one sentence, a word list, or a baseless guess.
A passage describes a region with rising sea levels, eroding coastlines, and abandoned beachfront homes. What conclusion does the text best support?
Coastal communities in the region are under serious threat
Sea levels in the region are falling
Beachfront homes are increasing in value
The region has the best weather in the world
Correct answer: Coastal communities in the region are under serious threat
The text best supports the conclusion that coastal communities in the region are under serious threat. Rising seas, erosion, and abandoned homes point to danger, contradicting the other choices.
After reading that a small bakery doubled its staff, extended its hours, and opened a second location, a reader can best conclude that the bakery is:
Reducing its product line
Going out of business
Closing permanently next week
Experiencing growth and success
Correct answer: Experiencing growth and success
The reader can best conclude that the bakery is experiencing growth and success. Hiring more staff, extending hours, and adding a location all indicate expansion rather than decline or closure.
Which approach best helps a reader identify the main idea of a paragraph that has no stated topic sentence?
Determine what point all the details have in common
Select the sentence with the most adjectives
Choose the longest sentence in the paragraph
Pick the first proper noun that appears
Correct answer: Determine what point all the details have in common
The best approach is to determine what point all the details have in common. When the main idea is implied, synthesizing the shared message of the details reveals it, not picking a sentence by length, nouns, or adjectives.
A nature article opens by describing the wonder of a forest, then warns that logging threatens it, urging readers to act. The author's purpose shifts mainly from:
Entertaining to defining
Defining to listing
Describing to persuading
Persuading to entertaining
Correct answer: Describing to persuading
The purpose shifts mainly from describing to persuading. The article begins with vivid description and ends with a call to act, moving the reader toward a position rather than entertaining, defining, or merely listing.
A passage notes that a hiker checked her map twice, packed extra water, and told a friend her route before leaving. A reader can most reasonably infer that the hiker is:
Lost before starting
Uninterested in the hike
Reckless and unprepared
Careful and well prepared
Correct answer: Careful and well prepared
The reader can most reasonably infer that the hiker is careful and well prepared. Checking the map, packing water, and informing a friend are all signs of caution, not recklessness or disinterest.
Read: 'The novel's prose is dense, but patient readers will find rich rewards in its layered themes.' The author's attitude toward the novel is best described as:
Appreciative despite its difficulty
Bored and uninterested
Entirely dismissive
Angry and resentful
Correct answer: Appreciative despite its difficulty
The author's attitude is best described as appreciative despite its difficulty. Acknowledging dense prose while praising rich rewards shows approval tempered by honesty, not dismissal, boredom, or anger.
In the sentence 'The verdict was unanimous; not a single juror disagreed,' the word 'unanimous' most nearly means:
Quickly forgotten
Privately decided
Sharply divided
In complete agreement
Correct answer: In complete agreement
The word 'unanimous' most nearly means in complete agreement. The clue that not a single juror disagreed signals total agreement rather than division, secrecy, or forgetting.
A passage states: 'Although the plan was approved, funding never arrived, and the project was quietly abandoned.' The transition 'Although' signals that the author is:
Listing items in order
Defining a technical term
Setting up a contrast between approval and failure
Describing a physical location
Correct answer: Setting up a contrast between approval and failure
The transition 'Although' signals a contrast between approval and failure. It prepares the reader for an unexpected outcome that opposes the approval, not a list, definition, or spatial description.
An author writes a passage that defines 'photosynthesis' and then gives an example of a plant converting sunlight to energy. The text structure is best described as:
Chronological order
Cause and effect
Definition and example
Compare and contrast
Correct answer: Definition and example
The structure is best described as definition and example. The author explains a term and then illustrates it, which differs from tracing causes, comparing items, or ordering events in time.
Which sentence in a passage is most clearly a verifiable fact?
Mount Everest is the tallest mountain above sea level
Everyone should try climbing once
Mountain climbing is the most exciting sport
The mountains are the prettiest place on Earth
Correct answer: Mount Everest is the tallest mountain above sea level
The most clearly verifiable fact is that Mount Everest is the tallest mountain above sea level. This can be confirmed with measurement, unlike judgments about excitement, what people should do, or beauty.
An author claims a policy is unfair but supports it only by repeatedly calling it 'terrible' and 'awful.' The argument is flawed mainly because it relies on:
Emotional language instead of evidence
An overly objective tone
A precise definition of fairness
Too many statistics
Correct answer: Emotional language instead of evidence
The argument is flawed mainly because it relies on emotional language instead of evidence. Repeating loaded words does not prove unfairness; persuasive arguments need reasons and support.
A passage states the claim 'School start times should be later' and then reports that later starts improved attendance and grades in a pilot district. The reported results serve as:
A claim that contradicts itself
A definition of the term 'school'
An unrelated personal story
Evidence backing the claim
Correct answer: Evidence backing the claim
The reported results serve as evidence backing the claim. Improved attendance and grades support the proposal for later start times rather than contradicting it or being irrelevant.
Passage A and Passage B both discuss electric cars, and both conclude that adoption is rising. A reader comparing them would best say the passages:
Cover unrelated subjects
Reach a similar overall conclusion
Were clearly written by the same person
Completely contradict each other
Correct answer: Reach a similar overall conclusion
A reader would best say the passages reach a similar overall conclusion. Both finding that adoption is rising shows agreement on the main point, regardless of any differences in detail.
A table accompanying a passage lists each state's average rainfall. The table best helps a reader by:
Organizing data so comparisons are easy to see
Adding decorative borders only
Hiding the most important numbers
Replacing the entire passage
Correct answer: Organizing data so comparisons are easy to see
The table best helps a reader by organizing data so comparisons are easy to see. Tables arrange information for quick reference and comparison rather than hiding data or merely decorating the page.
A passage describes shrinking glaciers, retreating snow lines, and the disappearance of a once-popular ski resort. The reader can best conclude that the area's climate is:
Staying exactly the same
Unrelated to the resort
Becoming colder
Warming over time
Correct answer: Warming over time
The reader can best conclude that the area's climate is warming over time. Shrinking glaciers, retreating snow, and a failed ski resort together point to warming rather than cooling or stability.
A paragraph begins, 'There are three main reasons to support the recycling program.' This sentence functions as:
A vocabulary definition
An unrelated example
A concluding paraphrase
A topic sentence stating the main idea
Correct answer: A topic sentence stating the main idea
This sentence functions as a topic sentence stating the main idea. It announces the paragraph's central point and previews the supporting reasons rather than concluding or defining.
A passage about a community theater mentions ticket sales tripling, sold-out shows, and a waiting list for auditions. The reader can most reasonably infer that the theater is:
Increasingly popular
Canceling all performances
Closing down
Losing its audience
Correct answer: Increasingly popular
The reader can most reasonably infer that the theater is increasingly popular. Tripled sales, sold-out shows, and an audition waiting list all indicate rising interest rather than decline.
A magazine article retells a humorous family road trip filled with mishaps and laughter. The author's primary purpose is most likely to:
Entertain readers
Sell road maps
Provide legal advice
Define traffic laws
Correct answer: Entertain readers
The primary purpose is most likely to entertain readers. A humorous narrative of mishaps and laughter aims to amuse, not to sell products, give legal advice, or define laws.
Original: 'The committee postponed the vote until more information could be gathered.' Which is the best paraphrase?
The committee voted immediately without discussion
The committee canceled all future votes permanently
The committee delayed the vote to collect more information
The committee already had all the information it needed
Correct answer: The committee delayed the vote to collect more information
The best paraphrase is that the committee delayed the vote to collect more information. It keeps both the postponement and the reason, unlike the choices that reverse or distort the meaning.
A passage states: 'The detective's voice was calm, but her clenched fists betrayed her anger.' The author's tone toward the detective conveys that she is:
The tone conveys that she is outwardly composed yet inwardly angry. The calm voice paired with clenched fists shows a contrast between appearance and feeling, not relaxation, indifference, or cheer.
In 'The ancient manuscript was so fragile that even a gentle touch could damage it; it was extremely delicate,' the word 'fragile' most nearly means:
Brightly colored
Easily broken
Very heavy
Recently printed
Correct answer: Easily broken
The word 'fragile' most nearly means easily broken. The clues about a gentle touch causing damage and being extremely delicate point to breakability, not color, weight, or age.
A passage reads: 'The factory increased output. Consequently, hiring rose across the county.' The word 'Consequently' signals that the second sentence is:
An example of a place
A definition of a term
A contrast to the first sentence
A result of the first sentence
Correct answer: A result of the first sentence
The word 'Consequently' signals that the second sentence is a result of the first. It marks cause and effect, linking increased output to rising hiring, not contrast, definition, or place.
An author organizes a passage by moving from the top floor of a building to the lobby, describing each level as it goes down. This text structure is best described as:
Spatial organization
Problem and solution
Cause and effect
Compare and contrast
Correct answer: Spatial organization
This is best described as spatial organization. Describing locations in physical order from top to bottom arranges ideas by space rather than by causation, problem-solution, or comparison.
Which of the following is an opinion rather than a fact?
The restaurant is located on Main Street
The restaurant has forty tables
This restaurant serves the best pizza in the city
The restaurant opened three years ago
Correct answer: This restaurant serves the best pizza in the city
The opinion is that this restaurant serves the best pizza in the city. 'Best' expresses a personal judgment that cannot be verified, unlike the verifiable details about opening date, tables, and location.
An author argues that a town should ban plastic bags and cites data, expert quotes, and results from cities that adopted similar bans. The argument is strong mainly because it:
Provides varied and relevant supporting evidence
Avoids stating any clear position
Relies on a single short anecdote
Uses only the author's personal feelings
Correct answer: Provides varied and relevant supporting evidence
The argument is strong mainly because it provides varied and relevant supporting evidence. Data, expert quotes, and comparable results give credible backing, unlike relying on feelings or a single anecdote.
A passage claims that reading aloud helps young children. Which detail best functions as evidence for the claim?
The author enjoyed bedtime stories as a child
Many libraries are open on weekends
Books come in many different sizes
A study found read-aloud children scored higher in early literacy
Correct answer: A study found read-aloud children scored higher in early literacy
The best evidence is the study finding that read-aloud children scored higher in early literacy. Research directly supports the claim, while library hours, a personal memory, and book sizes are irrelevant to it.
Passage A says exercise mainly benefits the heart, while Passage B says exercise mainly benefits mental health. A reader synthesizing both could best conclude that exercise:
Has no real benefits at all
Only helps the heart and nothing else
Is harmful to overall well-being
Offers multiple kinds of health benefits
Correct answer: Offers multiple kinds of health benefits
Synthesizing both passages, a reader could best conclude that exercise offers multiple kinds of health benefits. Combining the heart and mental-health perspectives gives a fuller picture rather than dismissing or narrowing the benefits.
A pie chart beside a passage shows that 60 percent of a school's budget goes to salaries. This visual mainly helps a reader by:
Defining the word 'budget'
Describing the school's history
Showing how a whole is divided into parts
Listing the names of all teachers
Correct answer: Showing how a whole is divided into parts
The pie chart mainly helps a reader by showing how a whole is divided into parts. Pie charts display proportions of a total, such as the share spent on salaries, rather than listing names or giving history.
A passage describes a student who studies nightly, attends every class, and asks frequent questions. The reader can best conclude that the student is:
Frequently absent
Indifferent to school
Uninterested in the subject
Dedicated to learning
Correct answer: Dedicated to learning
The reader can best conclude that the student is dedicated to learning. Nightly study, perfect attendance, and frequent questions all point to commitment rather than indifference or absence.
A paragraph lists several examples of how bees pollinate crops, support ecosystems, and produce honey. The unstated main idea is best summarized as:
Bees live in hives
Bees provide important benefits
Flowers are colorful
Honey tastes sweet
Correct answer: Bees provide important benefits
The unstated main idea is best summarized as bees provide important benefits. It captures the common thread among all the examples, unlike the narrower details about honey, hives, or flowers.
A passage notes that a city's downtown has new shops opening, sidewalks crowded with shoppers, and rising rents. A reader can most reasonably infer that the downtown is:
Closing its businesses
Falling into decline
Becoming more economically active
Completely deserted
Correct answer: Becoming more economically active
The reader can most reasonably infer that the downtown is becoming more economically active. New shops, crowds, and rising rents all signal economic growth rather than decline or vacancy.
A textbook chapter explains how the digestive system works, using neutral language and labeled diagrams. The author's primary purpose is to:
Entertain with a funny story
Sell a brand of supplements
Inform and explain a process
Persuade readers to change their diet
Correct answer: Inform and explain a process
The primary purpose is to inform and explain a process. Neutral language and labeled diagrams about how a system works serve explanation, not persuasion, entertainment, or sales.
Original: 'Few students attended the optional review session, so the teacher offered it again the next week.' The best paraphrase is:
The teacher canceled all future review sessions
Every student attended the review session
Because attendance was low, the teacher held the session a second time
The teacher refused to repeat the session
Correct answer: Because attendance was low, the teacher held the session a second time
The best paraphrase is that because attendance was low, the teacher held the session a second time. It preserves both the cause and the repeated offering, while the other choices misstate the events.
A passage describes a politician's speech as 'full of grand promises but empty of any concrete plan.' The author's attitude is best described as:
Enthusiastic
Skeptical
Reverent
Indifferent
Correct answer: Skeptical
The author's attitude is best described as skeptical. Calling the speech full of promises but empty of plans expresses doubt about its substance rather than enthusiasm, reverence, or indifference.
In 'The instructions were so ambiguous that no two students interpreted them the same way,' the word 'ambiguous' most nearly means:
Printed in color
Open to more than one interpretation
Perfectly clear
Extremely short
Correct answer: Open to more than one interpretation
The word 'ambiguous' most nearly means open to more than one interpretation. The clue that no two students read them the same way signals unclear, multiple meanings rather than clarity, length, or color.
A passage reads: 'Sales were strong in spring. In contrast, summer brought a sharp decline.' The phrase 'In contrast' signals that the author is:
Defining a financial term
Listing steps in order
Adding a similar example
Highlighting a difference between two periods
Correct answer: Highlighting a difference between two periods
The phrase 'In contrast' signals that the author is highlighting a difference between two periods. It marks opposition between strong spring sales and the summer decline, not similarity, definition, or sequence.
An article traces the history of the automobile decade by decade, from the early 1900s to the present. This text is organized using:
Compare and contrast
Chronological order
Spatial description
Problem and solution
Correct answer: Chronological order
The text is organized using chronological order. Tracing developments decade by decade arranges information by time, distinct from comparison, problem-solution, or spatial structures.
Which statement is a fact that could be checked in a reliable reference?
Winter is the most miserable season
Water boils at 100 degrees Celsius at sea level
Cooking is harder than it looks
Lakes are nicer than oceans
Correct answer: Water boils at 100 degrees Celsius at sea level
The checkable fact is that water boils at 100 degrees Celsius at sea level. It can be verified scientifically, unlike the value judgments about seasons, cooking difficulty, or lakes versus oceans.
An author claims a new app boosts productivity but cites only reviews from the company that made it. The argument is weakened mainly because the evidence is:
From a biased source
Drawn from unrelated topics
Too detailed and specific
Based on independent studies
Correct answer: From a biased source
The argument is weakened mainly because the evidence is from a biased source. Reviews supplied by the maker have a stake in the outcome, undermining credibility regardless of how specific they are.
A passage asserts that wetlands reduce flooding and supports this with measurements showing lower flood levels where wetlands were preserved. The measurements are best described as:
A claim that opposes the assertion
An unrelated definition
A restatement of the title
Evidence that supports the assertion
Correct answer: Evidence that supports the assertion
The measurements are best described as evidence that supports the assertion. Lower flood levels where wetlands remained back the claim that wetlands reduce flooding rather than opposing it.
Passage A presents a problem of food waste and Passage B presents a solution involving donation programs. Read together, the two passages best illustrate a:
Problem-and-solution relationship across texts
Pair of unrelated arguments
Set of contradictory facts
Repetition of the same example
Correct answer: Problem-and-solution relationship across texts
Read together, the two passages best illustrate a problem-and-solution relationship across texts. One identifies the issue and the other offers a remedy, forming a connected pair rather than unrelated or contradictory pieces.
A passage includes a map showing the spread of a wildfire over several days. The map best helps the reader by:
Showing how the fire moved across the area
Defining the word 'wildfire'
Listing the firefighters by name
Replacing the entire passage's text
Correct answer: Showing how the fire moved across the area
The map best helps the reader by showing how the fire moved across the area. A map of spread visualizes geographic change over time, which the words alone convey less clearly.
A passage notes that a river now runs clear, fish have returned, and locals fish there again after a cleanup. The reader can best conclude that the cleanup:
Caused the fish to disappear
Improved the river's health
Had no effect on the river
Made the river more polluted
Correct answer: Improved the river's health
The reader can best conclude that the cleanup improved the river's health. Clear water, returning fish, and renewed fishing all indicate recovery rather than pollution or no effect.
A paragraph describes a single rainy afternoon in great detail. Which sentence is most likely a supporting detail rather than the main idea?
The day left a lasting impression
Raindrops tapped steadily against the window
It was an unforgettable day overall
The afternoon was memorable in many ways
Correct answer: Raindrops tapped steadily against the window
The most likely supporting detail is that raindrops tapped steadily against the window. It is a specific sensory detail, whereas the broader statements about the day being memorable express the main idea.
A passage describes a man who arrives early, reviews his notes one more time, and double-checks the projector before a presentation. The reader can most reasonably infer that he is:
Bored and distracted
Lazy and careless
Thorough and prepared
Late and disorganized
Correct answer: Thorough and prepared
The reader can most reasonably infer that he is thorough and prepared. Arriving early, reviewing notes, and checking equipment all show diligence rather than laziness or disorganization.
An editorial urges readers to vote in a local election, listing reasons their voices matter. The author's primary purpose is to:
Define a legal term
Entertain with a joke
Describe a scenic landscape
Persuade readers to take action
Correct answer: Persuade readers to take action
The primary purpose is to persuade readers to take action. An editorial urging voting and giving reasons aims to move readers to act, not to describe, entertain, or define.
Original: 'Although the experiment failed, the researchers learned valuable lessons for future trials.' Which is the most accurate paraphrase?
No lessons came from the experiment
The experiment succeeded and taught nothing
The researchers gave up on all future trials
The failed experiment still taught the researchers useful things for next time
Correct answer: The failed experiment still taught the researchers useful things for next time
The most accurate paraphrase is that the failed experiment still taught the researchers useful things for next time. It keeps both the failure and the lessons learned, unlike the choices that distort the outcome.
A passage describes a charity worker as someone who 'gave selflessly, asking nothing in return.' The author's attitude toward the worker is best described as:
Indifferent
Disapproving
Mocking
Admiring
Correct answer: Admiring
The author's attitude is best described as admiring. Praising selfless giving with nothing expected in return expresses approval and respect rather than disapproval, mockery, or indifference.
In 'The new policy was met with widespread resentment, as employees felt ignored and undervalued,' the word 'resentment' most nearly means:
Mild curiosity
Calm indifference
Bitter displeasure
Cheerful acceptance
Correct answer: Bitter displeasure
The word 'resentment' most nearly means bitter displeasure. The clues that employees felt ignored and undervalued point to anger or bitterness rather than acceptance, curiosity, or indifference.
A passage reads: 'The team practiced for months. As a result, they won the championship.' The phrase 'As a result' tells the reader that winning was:
An unrelated coincidence
A contrast to the practice
A definition of practice
A consequence of the practice
Correct answer: A consequence of the practice
The phrase 'As a result' tells the reader that winning was a consequence of the practice. It signals cause and effect, connecting the months of practice to the championship.
An author begins a passage with a question, 'Why do leaves change color in autumn?' and then explains the science. This organization is best described as:
Question and answer
Compare and contrast
Spatial description
Chronological order
Correct answer: Question and answer
This organization is best described as question and answer. Posing a question and then explaining it structures the text around inquiry and response, not comparison, space, or time.
Which of the following is a factual statement?
Marathon runners are braver than everyone
Long races are simply too exhausting to enjoy
Running marathons is the noblest hobby
The marathon route is 26.2 miles long
Correct answer: The marathon route is 26.2 miles long
The factual statement is that the marathon route is 26.2 miles long. It is a measurable, verifiable distance, unlike the opinions about nobility, bravery, or enjoyment.
An author argues that a school should add an art program. Which would be a logical flaw weakening the argument?
Assuming art helps without offering any supporting reason
Citing graduation outcomes from schools with art programs
Including a survey of student interest
Quoting an education researcher on creativity
Correct answer: Assuming art helps without offering any supporting reason
The logical flaw is assuming art helps without offering any supporting reason. An unsupported assumption weakens the argument, whereas outcomes, expert quotes, and surveys would strengthen it.
A passage states the claim that 'remote work increases productivity' and follows it with survey results from thousands of remote employees showing higher output. The relationship between the claim and the survey is best described as:
The survey contradicts the claim
The survey serves as evidence for the claim
The survey is unrelated to the claim
The survey restates the title
Correct answer: The survey serves as evidence for the claim
The relationship is best described as the survey serving as evidence for the claim. Survey results showing higher output support the assertion about productivity rather than opposing or ignoring it.
Two passages discuss the same historical battle, but Passage A focuses on military strategy and Passage B focuses on the experiences of ordinary soldiers. The passages mainly differ in their:
Focus or perspective on the topic
Use of the same single quotation
Agreement on every detail
Conclusions about whether the battle occurred
Correct answer: Focus or perspective on the topic
The passages mainly differ in their focus or perspective on the topic. One emphasizes strategy and the other personal experience, a difference in angle rather than disagreement about whether the battle happened.
After reading that a company laid off staff, closed two stores, and reported falling profits for three quarters, a reader can best conclude that the company is:
Struggling financially
Rapidly expanding
Highly profitable
Opening new locations
Correct answer: Struggling financially
The reader can best conclude that the company is struggling financially. Layoffs, store closures, and falling profits all point to financial trouble rather than expansion or strong profitability.
A passage discusses several inventions of the 1800s and concludes that they 'transformed daily life.' This concluding statement most likely expresses the passage's:
An unrelated detail
A vocabulary definition
Overall main idea
A single supporting fact
Correct answer: Overall main idea
The concluding statement most likely expresses the passage's overall main idea. Saying the inventions transformed daily life sums up the central point the examples build toward, not a stray detail or definition.
A passage describes a dog that whimpers at the door, paces by its leash, and brings its bowl to its owner. The reader can most reasonably infer that the dog:
Wants something, such as a walk or food
Is uninterested in going outside
Has just finished eating and resting
Is afraid of its owner
Correct answer: Wants something, such as a walk or food
The reader can most reasonably infer that the dog wants something, such as a walk or food. The behaviors near the leash and bowl signal a request rather than fear or contentment.
A how-to guide explains step by step how to plant a vegetable garden. The author's primary purpose is to:
Persuade readers to buy seeds
Argue against gardening
Entertain readers with a story
Instruct readers on completing a task
Correct answer: Instruct readers on completing a task
The primary purpose is to instruct readers on completing a task. A step-by-step how-to guide aims to teach a process, not to persuade, entertain, or argue.
Original: 'The storm caused widespread power outages, but crews restored electricity within a day.' Which is the best paraphrase?
Power was never restored after the storm
The storm caused no outages at all
The storm knocked out power, yet crews fixed it within a day
Crews caused the power outages on purpose
Correct answer: The storm knocked out power, yet crews fixed it within a day
The best paraphrase is that the storm knocked out power, yet crews fixed it within a day. It preserves both the outages and the quick restoration, while the other options misrepresent events.
A passage describes a setting with 'gleaming marble floors, fresh flowers, and soft music in a spotless lobby.' The author's tone toward the setting is best described as:
Fearful and tense
Bored and dismissive
Approving and impressed
Disgusted and critical
Correct answer: Approving and impressed
The tone is best described as approving and impressed. Positive details like gleaming floors, fresh flowers, and a spotless lobby convey admiration rather than disgust, fear, or boredom.
In 'The committee reached a consensus, with all members finally agreeing on the plan,' the word 'consensus' most nearly means:
Heated argument
General agreement
Open rebellion
Sudden silence
Correct answer: General agreement
The word 'consensus' most nearly means general agreement. The clue that all members finally agreed signals shared agreement rather than argument, silence, or rebellion.
A passage reads: 'For example, the school added recycling bins in every hallway.' The phrase 'For example' signals that the sentence:
Concludes the entire passage
Illustrates a point made earlier
Contrasts with an earlier idea
Defines a difficult term
Correct answer: Illustrates a point made earlier
The phrase 'For example' signals that the sentence illustrates a point made earlier. It introduces a specific case to support a broader statement, not a contrast, conclusion, or definition.
An author writes about a topic by first describing rural life and then describing city life, pointing out how they differ. The passage's structure is best described as:
Cause and effect
Question and answer
Compare and contrast
Chronological order
Correct answer: Compare and contrast
The structure is best described as compare and contrast. Describing rural and city life and noting their differences sets the two against each other rather than tracing causes or time.
Which sentence blends a fact with an opinion?
The park covers fifty acres, and it is the most peaceful spot in town
The park covers exactly fifty acres of land
The park contains three playgrounds
The park was built in the year 1985
Correct answer: The park covers fifty acres, and it is the most peaceful spot in town
The sentence that blends a fact with an opinion is the one stating the park covers fifty acres and is the most peaceful spot in town. The acreage is verifiable while 'most peaceful' is a judgment.
An author argues that students learn better in small classes and supports it with a controlled study comparing small and large classes. The argument is strengthened mainly because the evidence is:
Repeated from the introduction
An unsupported personal opinion
Based on a fair comparison
Drawn from an unrelated subject
Correct answer: Based on a fair comparison
The argument is strengthened mainly because the evidence is based on a fair comparison. A controlled study weighing small against large classes offers credible support, unlike opinion or unrelated material.
A passage makes the claim that vaccines prevent disease and supports it with data showing sharp drops in illness after vaccination campaigns. The data and the claim relate in that the data:
Provides evidence backing the claim
Disproves the claim entirely
Has nothing to do with the claim
Simply repeats the claim's wording
Correct answer: Provides evidence backing the claim
The data provides evidence backing the claim. Sharp drops in illness following vaccination campaigns support the assertion that vaccines prevent disease rather than disproving or ignoring it.
Passage A describes the benefits of a forest, and Passage B describes threats to the same forest. To synthesize both, a reader should recognize that the texts together present:
Two facts that cancel each other out
A fuller picture combining value and risk
Identical information repeated
Two unrelated forests
Correct answer: A fuller picture combining value and risk
A reader should recognize that the texts together present a fuller picture combining value and risk. Pairing benefits with threats gives a more complete understanding than either passage alone.
A passage is accompanied by a histogram showing the distribution of students' quiz scores. A histogram is most useful for showing:
The names of each student
The history of the quiz topic
A definition of 'quiz'
How often scores fall within ranges
Correct answer: How often scores fall within ranges
A histogram is most useful for showing how often scores fall within ranges. It displays frequency across intervals, helping the reader see the distribution of the data.
After reading that attendance at a festival grew each year, sponsors increased, and a larger venue was needed, a reader can best conclude that the festival is:
Shrinking each year
Losing public interest
Being canceled soon
Growing in popularity
Correct answer: Growing in popularity
The reader can best conclude that the festival is growing in popularity. Rising attendance, more sponsors, and the need for a larger venue all indicate growth rather than decline or cancellation.
A paragraph provides many specific statistics about pollution levels in a city. These statistics most likely serve to:
Define the word 'pollution'
Replace the need for a main idea
Distract the reader from the topic
Support a broader point about the city's pollution problem
Correct answer: Support a broader point about the city's pollution problem
The statistics most likely serve to support a broader point about the city's pollution problem. Specific data backs the central idea rather than replacing it, distracting, or defining a term.
A passage notes that a chef tastes each dish, rejects any that fall short, and remakes them until satisfied. The reader can most reasonably infer that the chef is:
Indifferent to results
Eager to finish quickly
Careless about food
Demanding about quality
Correct answer: Demanding about quality
The reader can most reasonably infer that the chef is demanding about quality. Tasting, rejecting, and remaking dishes show high standards rather than carelessness or haste.
A pamphlet describes the symptoms of a disease and explains how to prevent it, using clear, neutral language. The author's primary purpose is to:
Entertain with a dramatic story
Inform readers about health
Sell a specific medicine
Persuade readers to fear doctors
Correct answer: Inform readers about health
The primary purpose is to inform readers about health. Describing symptoms and prevention in neutral language serves to educate, not to sell, entertain, or instill fear.
Original: 'Because the trail was steep and icy, the hikers turned back before reaching the summit.' Which is the best paraphrase?
The hikers ignored the dangerous conditions and continued
The trail was flat and dry
The hikers gave up the summit due to the steep, icy trail
The hikers easily reached the summit
Correct answer: The hikers gave up the summit due to the steep, icy trail
The best paraphrase is that the hikers gave up the summit due to the steep, icy trail. It keeps both the cause and the decision to turn back, while the other options contradict the original.
A passage describes a teacher who 'sighed, glanced at the clock again, and tapped her pen impatiently.' The author's tone toward the moment conveys that the teacher is:
Joyful and excited
Calm and content
Sleepy and relaxed
Impatient or frustrated
Correct answer: Impatient or frustrated
The tone conveys that the teacher is impatient or frustrated. Sighing, clock-watching, and impatient pen-tapping all signal restlessness rather than calm, joy, or sleepiness.
In 'The witness gave a candid account, openly admitting even the embarrassing facts,' the word 'candid' most nearly means:
Angry and defensive
Confused and unsure
Secretive and guarded
Honest and frank
Correct answer: Honest and frank
The word 'candid' most nearly means honest and frank. The clue that the witness openly admitted embarrassing facts signals frankness rather than secrecy, confusion, or anger.
A passage reads: 'In addition to lowering costs, the new system also improved safety.' The phrase 'In addition to' signals that the author is:
Defining a term
Adding another related point
Contrasting two ideas
Concluding the discussion
Correct answer: Adding another related point
The phrase 'In addition to' signals that the author is adding another related point. It introduces a further benefit alongside the first, not a contrast, conclusion, or definition.
An author explains a flood by describing heavy rainfall, then overflowing rivers, then submerged streets in order. The passage is organized mainly by:
Definition and example
Compare and contrast
Question and answer
Cause and effect sequence
Correct answer: Cause and effect sequence
The passage is organized mainly by a cause-and-effect sequence. Heavy rain leading to overflowing rivers and then flooded streets forms a chain of causes and effects rather than a comparison or definition.
Which statement could be verified as a fact?
The committee makes the wisest decisions in the company
The committee is more important than any other group
Committee meetings are unbearably dull
The committee meets on the first Monday of each month
Correct answer: The committee meets on the first Monday of each month
The verifiable fact is that the committee meets on the first Monday of each month. A meeting schedule can be checked, unlike subjective judgments about wisdom, dullness, or importance.
An author claims that a city's crime rate fell because of a new program, but the rate was already falling for years before the program began. This weakens the argument by suggesting the program may not be the:
Actual cause of the decline
Longest-running program ever
Best-written policy in the city
Most expensive option available
Correct answer: Actual cause of the decline
This weakens the argument by suggesting the program may not be the actual cause of the decline. A pre-existing downward trend casts doubt on the claimed cause, regardless of cost or wording.
A passage states the claim 'libraries remain essential' and cites rising program attendance and circulation figures. These figures function as:
An unrelated anecdote
A counterclaim against the author
Supporting evidence for the claim
A repetition of the thesis wording
Correct answer: Supporting evidence for the claim
The figures function as supporting evidence for the claim. Rising attendance and circulation back the assertion that libraries remain essential rather than opposing or merely restating it.
Two passages address school uniforms; Passage A stresses cost savings for families and Passage B stresses loss of student self-expression. A reader comparing them should note that the passages:
Discuss entirely separate policies
Both oppose uniforms equally
Weigh different concerns about the same policy
Agree completely on uniforms
Correct answer: Weigh different concerns about the same policy
A reader should note that the passages weigh different concerns about the same policy. One emphasizes savings and the other self-expression, presenting distinct angles on uniforms rather than full agreement.
After reading that a coral species is thriving, fish numbers are climbing, and water clarity has improved, a reader can best conclude that the marine ecosystem is:
Completely lifeless
Becoming more polluted
Recovering and healthy
Collapsing rapidly
Correct answer: Recovering and healthy
The reader can best conclude that the marine ecosystem is recovering and healthy. Thriving coral, rising fish numbers, and clearer water all indicate good health rather than collapse or pollution.
A long article about renewable energy can be summarized in one sentence as 'Renewable sources are becoming a larger part of the energy supply.' This sentence represents the article's:
Smallest detail
Bibliography
Main idea
Vocabulary list
Correct answer: Main idea
This sentence represents the article's main idea. A one-sentence summary that captures the central message states the main idea rather than a small detail, word list, or bibliography.
A passage describes a customer who reads every label, compares prices carefully, and returns items that disappoint. The reader can most reasonably infer that the customer is:
Easily satisfied by anything
Reckless with money
Discerning and value-conscious
Uninterested in shopping
Correct answer: Discerning and value-conscious
The reader can most reasonably infer that the customer is discerning and value-conscious. Reading labels, comparing prices, and returning disappointing items show careful, selective buying rather than recklessness.
Following the order of operations, what is the value of 7+3×4?
40
28
19
21
Correct answer: 19
The value is 19. Multiplication is performed before addition, so 3×4=12 is calculated first, and then 7+12 gives 19; multiplying or adding out of order produces the incorrect results.
Using the order of operations, evaluate 12 - (8 - 3) + 2.
1
3
9
19
Correct answer: 9
The result is 9. Work inside the parentheses first to get 8 - 3 = 5, then move left to right: 12 - 5 = 7, and 7 + 2 = 9.
What is the value of 2+6÷2×3?
6
4
12
11
Correct answer: 11
The value is 11. Division and multiplication are done left to right before the addition: 6÷2 is 3, then 3×3 is 9, and finally 2+9 equals 11.
Evaluate the expression 4×(3+2)2 using the correct order of operations.
26
50
400
100
Correct answer: 100
The expression equals 100. Add inside the parentheses first to get 5, square it to get 25, and then multiply by 4 to reach 100; squaring before adding or multiplying out of sequence gives wrong values.
A teacher writes 20−4×2+6 on the board and asks for the value. What is the correct answer?
18
24
38
12
Correct answer: 18
The correct answer is 18. Multiplication comes first, so 4×2=8, leaving 20−8+6, which evaluated left to right is 12+6=18.
What is the value of (10+2)÷(5−2)?
8
3
4
9
Correct answer: 4
The value is 4. Both grouped expressions are evaluated first, giving 12 and 3, and then 12÷3 equals 4.
When adding the fractions 41 and 32, what is the sum in lowest terms?
128
73
123
1211
Correct answer: 1211
The sum is 1211. Rewriting with a common denominator of 12 gives 123+128, which equals 1211 and is already in lowest terms; adding numerators and denominators separately is incorrect.
What is the product of 53 and 910 written in simplest form?
1413
4530
23
32
Correct answer: 32
The product is 32. Multiply numerators to get 30 and denominators to get 45, then simplify 4530 by dividing both by 15 to obtain 32.
A recipe calls for 43 cup of sugar, but a baker wants to make half the recipe. How much sugar is needed?
83 cup
121 cups
41 cup
21 cup
Correct answer: 83 cup
The baker needs 83 cup. Half of 43 is found by multiplying 43 by 21, which gives 83; halving only the numerator or denominator alone would be incorrect.
What is the result of dividing 65 by 32?
45
1810
95
43
Correct answer: 45
The result is 45. Dividing by a fraction means multiplying by its reciprocal, so 65 times 23 equals 1215, which simplifies to 45.
Subtract 87 minus 21. What is the difference?
166
83
41
66
Correct answer: 83
The difference is 83. Rewriting 21 as 84 gives 87−84, which equals 83.
If 3 pounds of apples cost 6 dollars, what is the cost of 7 pounds at the same rate?
42 dollars
21 dollars
14 dollars
13 dollars
Correct answer: 14 dollars
The cost is 14 dollars. The unit price is 6÷3, or 2 dollars per pound, so 7 pounds cost 7×2, which equals 14 dollars.
A map uses a scale where 1 inch represents 25 miles. How many miles are represented by 4 inches?
100 miles
50 miles
29 miles
75 miles
Correct answer: 100 miles
The distance is 100 miles. Each inch equals 25 miles, so 4 inches represent 4×25, which is 100 miles.
The ratio of boys to girls in a class is 3 to 4. If there are 12 boys, how many girls are there?
8 girls
16 girls
9 girls
15 girls
Correct answer: 16 girls
There are 16 girls. The ratio 3 to 4 scaled so that 3 becomes 12 means multiplying by 4, so the girls count is 4×4, which equals 16.
Solve the proportion: 85=24x. What is the value of x?
19
12
15
30
Correct answer: 15
The value of x is 15. Cross multiplying gives 8x=120, and dividing both sides by 8 yields x=15.
A car travels 150 miles on 5 gallons of gas. At this rate, how many miles can it travel on 8 gallons?
155 miles
210 miles
240 miles
300 miles
Correct answer: 240 miles
The car can travel 240 miles. The rate is 150÷5, or 30 miles per gallon, so 8 gallons cover 8×30, which is 240 miles.
What is 15 percent of 80?
120
12
8
1.2
Correct answer: 12
The answer is 12. Fifteen percent written as a decimal is 0.15, and 0.15×80 equals 12.
A jacket originally priced at 60 dollars is on sale for 25 percent off. What is the sale price?
45 dollars
15 dollars
48 dollars
35 dollars
Correct answer: 45 dollars
The sale price is 45 dollars. A 25 percent discount on 60 dollars is 15 dollars off, and 60 minus 15 equals 45 dollars.
A student answered 18 out of 24 questions correctly. What percent did the student answer correctly?
75 percent
72 percent
68 percent
60 percent
Correct answer: 75 percent
The student scored 75 percent. Dividing 18 by 24 gives 0.75, which equals 75 percent.
A population of 500 increases by 20 percent. What is the new population?
700
520
580
600
Correct answer: 600
The new population is 600. Twenty percent of 500 is 100, and adding that increase to the original 500 gives 600.
After a 10 percent tax is added, a 40 dollar item costs how much in total?
44 dollars
50 dollars
41 dollars
36 dollars
Correct answer: 44 dollars
The total cost is 44 dollars. Ten percent of 40 is 4 dollars in tax, and 40 plus 4 equals 44 dollars.
Which of the following is the number 45,000 written in scientific notation?
4.5×104
45×103
4.5×103
0.45×105
Correct answer: 4.5×104
The correct form is 4.5×104. Scientific notation uses a coefficient between 1 and 10 times a power of ten, and moving the decimal four places gives 4.5 with an exponent of 4.
What is 6.2×103 written as a standard whole number?
6,200
620
62,000
6.2003
Correct answer: 6,200
The standard number is 6,200. Multiplying 6.2 by 1,000 moves the decimal point three places to the right, producing 6,200.
Which number written in scientific notation represents a very small quantity less than 1?
2.5×10−4
7.1×100
3.0×105
9.9×102
Correct answer: 2.5×10−4
The value 2.5×10−4 is less than 1. A negative exponent indicates the decimal point moves left, producing 0.00025, while positive exponents give numbers of 1 or greater.
Express 0.00038 in scientific notation.
38×10−5
3.8×104
0.38×10−3
3.8×10−4
Correct answer: 3.8×10−4
In scientific notation it is 3.8×10−4. The decimal must move four places to the right to reach 3.8, so the exponent is negative four.
What is the product of (2×103) and (4×102) in scientific notation?
8×106
6×105
8×105
8×101
Correct answer: 8×105
The product is 8×105. Multiply the coefficients 2 and 4 to get 8, and add the exponents 3 and 2 to get 5.
What is the value of the absolute value of -9?
9
0
-9
18
Correct answer: 9
The value is 9. Absolute value measures distance from zero on the number line, which is always non-negative, so the absolute value of -9 is 9.
Evaluate the absolute value of (3 - 11).
-8
8
14
2
Correct answer: 8
The value is 8. First compute inside the bars to get -8, and the absolute value of -8 is 8 because it is 8 units from zero.
On a number line, the absolute value of a number represents:
The number multiplied by itself
The number's opposite sign always
Whether the number is even or odd
The number's distance from zero
Correct answer: The number's distance from zero
Absolute value represents the number's distance from zero. Distance is never negative, which is why both 5 and -5 have an absolute value of 5.
Which expression has a value of 6?
The absolute value of 0 minus 6
-(the absolute value of 6)
The absolute value of -6
-6 itself
Correct answer: The absolute value of -6
The expression equal to 6 is the absolute value of -6. Distance from zero makes it positive 6, whereas the negative of the absolute value of 6 is -6, and the absolute value of 0 minus 6 means |0| - 6 = 0 - 6 = -6.
A thermometer reads -4 degrees in the morning and 3 degrees in the afternoon. The absolute value of the change in temperature is:
7 degrees
12 degrees
-7 degrees
1 degree
Correct answer: 7 degrees
The absolute value of the change is 7 degrees. The temperature moved from -4 to 3, a difference of 7 units, and absolute value reports that distance as a positive 7.
What is the value of 25?
16
32
10
25
Correct answer: 32
The value is 32. The exponent 5 means 2 is multiplied by itself five times: 2×2×2×2×2, which equals 32, not 2 times 5.
Simplify x3×x4 using the properties of exponents.
x7
2x7
x1
x12
Correct answer: x7
The simplified form is x7. When multiplying powers with the same base, the exponents are added, so 3 plus 4 equals 7; the exponents are not multiplied.
What is the value of any nonzero number raised to the 0 power?
1
0
Undefined
The number itself
Correct answer: 1
Any nonzero number raised to the zero power equals 1. This is a defined property of exponents, so expressions such as 70 or 1000 both equal 1.
Simplify the expression (106)÷(102).
1012
103
108
104
Correct answer: 104
The result is 104. When dividing powers with the same base, the exponents are subtracted, so 6 minus 2 equals 4.
What is the value of 3−2 expressed as a fraction?
91
-9
-6
61
Correct answer: 91
The value is 91. A negative exponent indicates the reciprocal, so 3−2 equals 1 over 32, which is 91.
Solve for x in the equation 3x + 5 = 20.
X = 15
X = 8
X = 25
X = 5
Correct answer: X = 5
The solution is x = 5. Subtracting 5 from both sides gives 3x = 15, and dividing both sides by 3 yields x = 5.
What is the value of x in 2(x - 3) = 10?
X = 8
X = 5
X = 2
X = 11
Correct answer: X = 8
The value is x = 8. Distributing gives 2x - 6 = 10, adding 6 to both sides gives 2x = 16, and dividing by 2 yields x = 8.
Solve for n: n/4 - 2 = 3.
N = 5
N = 12
N = 20
N = 4
Correct answer: N = 20
The solution is n = 20. Adding 2 to both sides gives n/4 = 5, and multiplying both sides by 4 produces n = 20.
A number increased by 7 equals 22. Which equation models this, and what is the number?
X + 7 = 22, x = 15
X - 7 = 22, x = 29
X + 22 = 7, x = -15
7x = 22, x = 3
Correct answer: X + 7 = 22, x = 15
The correct model is x + 7 = 22, giving x = 15. Subtracting 7 from both sides isolates the variable, and 22 minus 7 equals 15.
Solve for x: 5x - 4 = 2x + 11.
X = 1
X = 3
X = 5
X = 7
Correct answer: X = 5
The solution is x = 5. Subtracting 2x from both sides gives 3x - 4 = 11, adding 4 gives 3x = 15, and dividing by 3 yields x = 5.
In the linear function y=2x+1, what is the value of y when x=3?
5
6
7
9
Correct answer: 7
The value of y is 7. Substituting x=3 gives y=2×3+1, which is 6+1, equaling 7.
Which equation represents a linear function?
y=x5
y=2x
y=x2+4
y=3x−2
Correct answer: y=3x−2
The linear function is y=3x−2. A linear function has the form y=mx+b with the variable to the first power, unlike squared, reciprocal, or exponential expressions.
A phone plan charges a 20 dollar monthly fee plus 5 dollars per gigabyte of data. Which function gives the monthly cost y for x gigabytes?
Y = 20x + 5
Y = 5x - 20
Y = 5x + 20
Y = 25x
Correct answer: Y = 5x + 20
The correct function is y = 5x + 20. The per-gigabyte charge of 5 dollars is the rate multiplied by x, and the fixed 20 dollar fee is the constant added on.
For the linear function y = -x + 6, what is the y-intercept?
1
-6
-1
6
Correct answer: 6
The y-intercept is 6. In the form y = mx + b, the constant b is the y-intercept, and here b equals 6, the value of y when x is zero.
A table shows that when x increases by 1, y increases by exactly 4 each time, and y is 4 when x is 1. Which function fits the table?
Y = x + 4
Y = 4x
Y = 4x + 4
y=x4
Correct answer: Y = 4x
The function is y = 4x. A constant increase of 4 in y for each unit of x indicates a slope of 4, and since y is 4 when x is 1, there is no added constant.
What is the slope of the line that passes through the points (1, 2) and (3, 8)?
3
6
31
2
Correct answer: 3
The slope is 3. Slope equals the change in y divided by the change in x, so (8−2)÷(3−1) is 6÷2, which equals 3.
In the equation y = -2x + 7, what is the slope of the line?
7
-2
-7
2
Correct answer: -2
The slope is -2. In slope-intercept form y = mx + b, the coefficient m is the slope, and here that coefficient is -2.
A line has a slope of zero. Which statement best describes the line?
It passes through the origin only
It rises steeply from left to right
It is horizontal
It is vertical
Correct answer: It is horizontal
A slope of zero means the line is horizontal. With no vertical change as x increases, the line stays level, unlike a vertical line whose slope is undefined.
What does the slope of a line represent in a real-world graph of distance over time?
The speed or rate of change
The ending time
The total distance only
The starting position
Correct answer: The speed or rate of change
Slope represents the speed or rate of change. On a distance-time graph, slope is change in distance over change in time, which is the rate at which distance increases.
What is the slope of the line passing through (4, 5) and (4, 9)?
1
0
Undefined
4
Correct answer: Undefined
The slope is undefined. Both points share the same x-value, so the change in x is zero, and division by zero in the slope formula makes the slope undefined for this vertical line.
Solve the system: x + y = 10 and x - y = 4. What is the value of x?
3
6
5
7
Correct answer: 7
The value of x is 7. Adding the two equations eliminates y to give 2x = 14, so dividing by 2 yields x = 7.
A system of two linear equations has no solution. What does this mean about the lines?
The lines are the same line
The lines are perpendicular
The lines intersect at one point
The lines are parallel
Correct answer: The lines are parallel
No solution means the lines are parallel. Parallel lines never intersect, so there is no point that satisfies both equations at the same time.
Solve the system: y = 2x and x + y = 9. What is the value of x?
4.5
9
3
6
Correct answer: 3
The value of x is 3. Substituting y = 2x into x + y = 9 gives x + 2x = 9, so 3x = 9 and x = 3.
Two tickets and three snacks cost 16 dollars, while two tickets and one snack cost 12 dollars. What is the cost of one snack?
2 dollars
6 dollars
4 dollars
3 dollars
Correct answer: 2 dollars
One snack costs 2 dollars. Subtracting the second equation from the first eliminates the tickets and leaves 2 snacks equal to 4 dollars, so each snack is 2 dollars.
If a system of two linear equations has infinitely many solutions, the two equations must:
Represent the same line
Be perpendicular
Have no points in common
Have different slopes
Correct answer: Represent the same line
Infinitely many solutions mean the two equations represent the same line. Every point on the shared line satisfies both equations, producing endless common solutions.
On the coordinate plane, in which quadrant does the point (-3, 5) lie?
Quadrant I
Quadrant III
Quadrant IV
Quadrant II
Correct answer: Quadrant II
The point lies in Quadrant II. A negative x-value and a positive y-value place a point in the upper-left region, which is the second quadrant.
What are the coordinates of the origin on the coordinate plane?
(1, 0)
(1, 1)
(0, 0)
(0, 1)
Correct answer: (0, 0)
The origin is at (0, 0). It is the point where the x-axis and y-axis intersect, with both coordinates equal to zero.
A point is located 4 units to the right of the origin and 2 units down. What are its coordinates?
(4, -2)
(2, -4)
(4, 2)
(-4, 2)
Correct answer: (4, -2)
The coordinates are (4, -2). Moving right is the positive x-direction giving 4, and moving down is the negative y-direction giving -2.
On the coordinate plane, the point (0, -6) lies on which axis?
The x-axis
Neither axis
The y-axis
Both axes
Correct answer: The y-axis
The point lies on the y-axis. Any point with an x-coordinate of zero falls on the vertical y-axis, regardless of its y-value.
Which point lies in Quadrant III of the coordinate plane?
(-2, -3)
(-2, 3)
(2, -3)
(2, 3)
Correct answer: (-2, -3)
The point (-2, -3) lies in Quadrant III. Both coordinates are negative, which places a point in the lower-left region of the plane.
What is the perimeter of a rectangle that is 8 centimeters long and 3 centimeters wide?
24 centimeters
22 centimeters
16 centimeters
11 centimeters
Correct answer: 22 centimeters
The perimeter is 22 centimeters. Perimeter is twice the sum of length and width, so 2 times (8 plus 3) equals 2 times 11, which is 22 centimeters.
What is the area of a triangle with a base of 10 inches and a height of 6 inches?
32 square inches
60 square inches
16 square inches
30 square inches
Correct answer: 30 square inches
The area is 30 square inches. The area of a triangle is one-half times base times height, so one-half of 10 times 6 equals 30 square inches.
A square has an area of 49 square feet. What is the length of one side?
7 feet
49 feet
24.5 feet
14 feet
Correct answer: 7 feet
The side length is 7 feet. The area of a square is the side squared, so the side equals 49, which is 7 feet.
A rectangular garden measures 12 meters by 5 meters. What is its area?
17 square meters
24 square meters
60 square meters
34 square meters
Correct answer: 60 square meters
The area is 60 square meters. Area of a rectangle is length times width, so 12 times 5 equals 60 square meters.
The area of a circle is found using which formula, where r is the radius?
2πr
πr
πr2
r2
Correct answer: πr2
The area of a circle is πr2. The radius is squared and multiplied by pi, while 2πr gives the circumference instead.
What is the volume of a rectangular box that is 4 cm long, 3 cm wide, and 2 cm tall?
18 cubic cm
9 cubic cm
24 cubic cm
12 cubic cm
Correct answer: 24 cubic cm
The volume is 24 cubic cm. Volume of a rectangular prism is length times width times height, so 4 times 3 times 2 equals 24 cubic cm.
A cube has edges that are each 5 inches long. What is its volume?
25 cubic inches
75 cubic inches
125 cubic inches
15 cubic inches
Correct answer: 125 cubic inches
The volume is 125 cubic inches. The volume of a cube is the edge length cubed, so 5 times 5 times 5 equals 125 cubic inches.
What is the surface area of a cube whose edges are each 2 feet long?
24 square feet
48 square feet
12 square feet
8 square feet
Correct answer: 24 square feet
The surface area is 24 square feet. A cube has 6 identical faces, each with area 2 times 2 equals 4 square feet, so 6 times 4 equals 24 square feet.
The volume of a cylinder is found by multiplying the area of its circular base by its:
Radius
Height
Diameter
Circumference
Correct answer: Height
The volume of a cylinder is the base area times its height. The circular base area is multiplied by how tall the cylinder is to fill the three-dimensional space.
A water tank in the shape of a rectangular prism has a volume of 36 cubic feet. If its base measures 3 feet by 4 feet, what is its height?
5 feet
12 feet
9 feet
3 feet
Correct answer: 3 feet
The height is 3 feet. Dividing the volume by the base area, 36 divided by (3 times 4) equals 36 divided by 12, which gives a height of 3 feet.
According to the Pythagorean theorem, in a right triangle the square of the hypotenuse equals:
Half the product of the legs
The product of the two legs
The sum of the squares of the two legs
The sum of the two legs
Correct answer: The sum of the squares of the two legs
The theorem states the square of the hypotenuse equals the sum of the squares of the two legs. Written as a squared plus b squared equals c squared, it applies only to right triangles.
A right triangle has legs of 3 units and 4 units. What is the length of the hypotenuse?
7 units
25 units
12 units
5 units
Correct answer: 5 units
The hypotenuse is 5 units. Using the theorem, 3 squared plus 4 squared equals 9 plus 16, which is 25, and 25 is 5.
A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
10 cm
14 cm
100 cm
48 cm
Correct answer: 10 cm
The hypotenuse is 10 cm. The theorem gives 6 squared plus 8 squared equals 36 plus 64, which is 100, and 100 is 10.
A ladder leans against a wall, reaching 12 feet up while its base is 5 feet from the wall. How long is the ladder?
17 feet
13 feet
7 feet
169 feet
Correct answer: 13 feet
The ladder is 13 feet long. The wall and ground form the legs, so 5 squared plus 12 squared equals 25 plus 144, which is 169, and 169 is 13.
In a right triangle, the hypotenuse is 13 and one leg is 5. What is the length of the other leg?
18
12
8
144
Correct answer: 12
The other leg is 12. Rearranging the theorem, 13 squared minus 5 squared equals 169 minus 25, which is 144, and 144 is 12.
What is the mean of the data set 4, 8, 6, 10, and 7?
8
6
35
7
Correct answer: 7
The mean is 7. Adding the five values gives 35, and dividing the sum by the count of 5 produces a mean of 7.
What is the median of the data set 3, 9, 5, 1, and 7 when ordered?
7
5
3
9
Correct answer: 5
The median is 5. Arranging the values as 1, 3, 5, 7, 9 places 5 in the exact middle of the five numbers.
What is the mode of the data set 2, 4, 4, 6, 8, and 4?
2
4
8
6
Correct answer: 4
The mode is 4. The mode is the value that appears most often, and 4 occurs three times, more than any other number in the set.
What is the range of the data set 12, 5, 18, 9, and 7?
5
18
23
13
Correct answer: 13
The range is 13. Range is the difference between the largest and smallest values, so 18 minus 5 equals 13.
A teacher wants a single value least affected by one unusually high test score in a small class. Which measure of center is most appropriate?
The range
The mean
The median
The mode
Correct answer: The median
The median is most appropriate. Because it depends on the middle position rather than totals, the median is far less affected by an extreme outlier than the mean.
A data table lists the number of books read by four students: 5, 8, 3, and 6. How many books did they read in total?
24 books
20 books
22 books
18 books
Correct answer: 22 books
They read 22 books in total. Adding the four values from the table, 5 plus 8 plus 3 plus 6, gives a sum of 22.
A data table shows monthly rainfall in inches: January 4, February 3, March 5, and April 2. Which month had the greatest rainfall?
March
January
February
April
Correct answer: March
March had the greatest rainfall. Comparing the table values, 5 inches in March exceeds the amounts recorded for January, February, and April.
A table records daily sales: Monday 30, Tuesday 45, Wednesday 25, and Thursday 50. What was the difference between the highest and lowest daily sales?
25
20
50
15
Correct answer: 25
The difference is 25. The highest value in the table is 50 on Thursday and the lowest is 25 on Wednesday, so 50 minus 25 equals 25.
A frequency table shows that 10 students chose pizza, 6 chose tacos, and 4 chose salad for lunch. How many students were surveyed in all?
20 students
24 students
16 students
14 students
Correct answer: 20 students
There were 20 students surveyed. Adding the frequencies in the table, 10 plus 6 plus 4, gives a total of 20.
When a fair six-sided die is rolled once, what is the probability of rolling a 4?
21
64
61
41
Correct answer: 61
The probability is 61. There is one favorable outcome, rolling a 4, out of six equally likely outcomes on the die.
A bag holds 3 red marbles and 5 blue marbles. If one marble is drawn at random, what is the probability it is red?
31
83
53
85
Correct answer: 83
The probability is 83. There are 3 red marbles out of 8 total marbles, so the probability of drawing red is 3÷8.
A spinner is divided into 4 equal sections colored red, blue, green, and yellow. What is the probability of landing on green?
31
43
41
21
Correct answer: 41
The probability is 41. With four equal sections, green is one favorable outcome out of four equally likely outcomes.
If the probability of rain tomorrow is 0.3, what is the probability that it will not rain?
0.3
0.5
0.7
1.3
Correct answer: 0.7
The probability of no rain is 0.7. The probabilities of an event and its complement add to 1, so 1 minus 0.3 equals 0.7.
A standard deck has 52 cards, 13 of which are hearts. What is the probability of drawing a heart at random?
521
131
41
5213 reduced to 31
Correct answer: 41
The probability is 41. There are 13 hearts out of 52 cards, and 13÷52 simplifies to 41.
A histogram groups test scores into intervals. The bars in a histogram represent:
The average of all scores
The order in which tests were taken
The frequency of values within each interval
The names of individual students
Correct answer: The frequency of values within each interval
The bars represent the frequency of values within each interval. A histogram shows how many data points fall into each range, not individual names or order.
A key feature that distinguishes a histogram from a typical bar graph is that a histogram:
Uses categories with gaps between bars
Never has a vertical scale
Displays continuous numerical intervals with adjacent bars
Can only show two values
Correct answer: Displays continuous numerical intervals with adjacent bars
A histogram displays continuous numerical intervals with adjacent bars. The bars touch because the intervals are continuous, unlike a bar graph that shows separate categories with gaps.
What is 125 plus 61 expressed in lowest terms?
21
186
126
127
Correct answer: 127
The sum is 127. Rewriting 61 as 122 gives 125 plus 122, which equals 127 and cannot be reduced further.
If 4 notebooks cost 10 dollars, what is the cost of 10 notebooks at the same unit rate?
25 dollars
20 dollars
14 dollars
40 dollars
Correct answer: 25 dollars
The cost is 25 dollars. The unit price is 10 divided by 4, or 2.50 dollars each, so 10 notebooks cost 10 times 2.50, which is 25 dollars.
A shirt's price is reduced from 50 dollars to 40 dollars. What is the percent decrease?
10 percent
25 percent
20 percent
40 percent
Correct answer: 20 percent
The percent decrease is 20 percent. The price dropped by 10 dollars, and 10 divided by the original 50 equals 0.2, or 20 percent.
Which represents 3.6 million written in scientific notation?
3.6×105
36×105
3.6×106
0.36×107
Correct answer: 3.6×106
The correct form is 3.6×106. The number 3,600,000 requires moving the decimal six places, and the coefficient 3.6 lies between 1 and 10.
What is the value of the absolute value of 0?
0
1
Undefined
-1
Correct answer: 0
The value is 0. Zero is exactly zero units from itself on the number line, so its distance from zero, and therefore its absolute value, is 0.
Simplify (23)2 using the properties of exponents.
29
21
26
25
Correct answer: 26
The simplified form is 26. A power raised to a power means the exponents are multiplied, so 3 times 2 equals 6.
Solve for x: 4x + 9 = x + 21.
X = 3
X = 6
X = 10
X = 4
Correct answer: X = 4
The solution is x = 4. Subtracting x from both sides gives 3x + 9 = 21, subtracting 9 gives 3x = 12, and dividing by 3 yields x = 4.
For the linear function y=0.5x+3, what is y when x=8?
11
7
3.5
4
Correct answer: 7
The value of y is 7. Substituting x=8 gives 0.5×8+3, which is 4+3, equaling 7.
A line passes through (0, 4) and (2, 10). What is its slope?
2
4
3
6
Correct answer: 3
The slope is 3. The change in y is 10 minus 4, or 6, and the change in x is 2 minus 0, or 2, so 6÷2 equals 3.
Solve the system: 2x + y = 11 and y = 3. What is the value of x?
8
4
2
7
Correct answer: 4
The value of x is 4. Substituting y = 3 into the first equation gives 2x + 3 = 11, so 2x = 8 and x = 4.
In which quadrant does the point (6, -1) lie on the coordinate plane?
Quadrant IV
Quadrant I
Quadrant II
Quadrant III
Correct answer: Quadrant IV
The point lies in Quadrant IV. A positive x-value paired with a negative y-value places a point in the lower-right region of the plane.
A rectangular field is 50 meters long and has a perimeter of 160 meters. What is its width?
110 meters
60 meters
80 meters
30 meters
Correct answer: 30 meters
The width is 30 meters. The two lengths total 100 meters, leaving 60 meters for the two widths, so each width is 60 divided by 2, which is 30 meters.
A rectangular prism has a volume of 60 cubic inches and a base area of 15 square inches. What is its height?
5 inches
4 inches
45 inches
75 inches
Correct answer: 4 inches
The height is 4 inches. Dividing the volume by the base area, 60 divided by 15, gives a height of 4 inches.
A rectangular park has a diagonal walking path. If the park is 9 meters by 12 meters, how long is the diagonal path?
21 meters
11 meters
225 meters
15 meters
Correct answer: 15 meters
The diagonal is 15 meters. The diagonal is the hypotenuse, so 9 squared plus 12 squared equals 81 plus 144, which is 225, and 225 is 15.
A student earned scores of 80, 90, 85, and 85. What is the mean of these four scores?
340
90
80
85
Correct answer: 85
The mean is 85. The four scores sum to 340, and dividing by the count of 4 gives a mean of 85.
A data table shows temperatures for three cities: City A 70, City B 85, and City C 78. What is the median temperature?
85
78
77.7
70
Correct answer: 78
The median is 78. Ordering the three values as 70, 78, 85 places 78 in the middle position.
A jar contains 4 green, 2 yellow, and 4 purple beads. What is the probability of randomly drawing a yellow bead?
104
51
21
82
Correct answer: 51
The probability is 51. There are 2 yellow beads out of 10 total, and 2÷10 simplifies to 51.
A histogram shows ages grouped into ranges, with the 20-29 bar being the tallest. This means the most people surveyed were:
Exactly 29 years old
Between 20 and 29 years old
Older than 50
Younger than 20
Correct answer: Between 20 and 29 years old
The most people were between 20 and 29 years old. The tallest bar shows the interval with the highest frequency, which is the 20-29 age range.
What is 9.4×10−2 written in standard decimal form?
0.0094
940
0.094
9.42
Correct answer: 0.094
The standard form is 0.094. A negative exponent of 2 moves the decimal point two places to the left of 9.4, giving 0.094.
Solve for x: the absolute value of x equals 7. Which set lists all solutions?
X = 0 or x = 7
X = 7 or x = -7
X = 7 only
X = -7 only
Correct answer: X = 7 or x = -7
The solutions are x = 7 or x = -7. Both numbers are exactly 7 units from zero, so each satisfies an absolute value of 7.
Simplify the expression 24×22.
28
26
46
22
Correct answer: 26
The simplified form is 26. With the same base, the exponents are added, so 4 plus 2 equals 6, and the base stays 2.
Solve for y: 7y - 3 = 25.
Y = 3
Y = 22
Y = 7
Y = 4
Correct answer: Y = 4
The solution is y = 4. Adding 3 to both sides gives 7y = 28, and dividing both sides by 7 yields y = 4.
Which table of values represents the linear function y = x - 2?
When x is 5, y is 25; when x is 6, y is 36
When x is 5, y is 3; when x is 6, y is 4
When x is 5, y is 7; when x is 6, y is 8
When x is 5, y is 10; when x is 6, y is 12
Correct answer: When x is 5, y is 3; when x is 6, y is 4
The correct table shows y is 3 when x is 5 and y is 4 when x is 6. Subtracting 2 from each x-value produces those y-values, matching y = x - 2.
A line falls from left to right on a graph. The slope of this line is:
Zero
Positive
Undefined
Negative
Correct answer: Negative
The slope is negative. A line that falls from left to right has a negative rate of change, since y decreases as x increases.
Solve the system: x + 2y = 12 and x = 4. What is the value of y?
8
4
2
6
Correct answer: 4
The value of y is 4. Substituting x = 4 into the first equation gives 4 + 2y = 12, so 2y = 8 and y = 4.
The point (-5, 0) on the coordinate plane lies:
In Quadrant II
On the x-axis
On the y-axis
In Quadrant III
Correct answer: On the x-axis
The point lies on the x-axis. Any point with a y-coordinate of zero falls on the horizontal x-axis, regardless of its x-value.
A triangle has a base of 14 cm and a height of 9 cm. What is its area?
23 square cm
42 square cm
126 square cm
63 square cm
Correct answer: 63 square cm
The area is 63 square cm. The triangle area formula is one-half times base times height, so one-half of 14 times 9 equals 63 square cm.
A cube has a volume of 27 cubic meters. What is the length of one edge?
9 meters
27 meters
6 meters
3 meters
Correct answer: 3 meters
The edge length is 3 meters. The volume of a cube is the edge cubed, so the edge equals 327, which is 3 meters.
A right triangle has legs measuring 9 inches and 12 inches. What is the length of the hypotenuse?
15 inches
21 inches
225 inches
11 inches
Correct answer: 15 inches
The hypotenuse is 15 inches. Using the theorem, 9 squared plus 12 squared equals 81 plus 144, which is 225, and 225 is 15.
A data set is 6, 6, 9, 12, and 17. Which statement correctly identifies a measure of this set?
The mode is 6
The range is 6
The mean is 6
The median is 6
Correct answer: The mode is 6
The mode is 6. The value 6 appears twice, more than any other number, while the mean is 10, the median is 9, and the range is 11.
A data table shows points scored in four games: 22, 18, 25, and 15. What was the total number of points scored?
70 points
80 points
75 points
65 points
Correct answer: 80 points
The total is 80 points. Adding the four game values, 22 plus 18 plus 25 plus 15, gives a sum of 80.
A coin is flipped twice. What is the probability of getting two heads in a row?
31
43
41
21
Correct answer: 41
The probability is 41. Each flip has a 21 chance of heads, and multiplying the independent probabilities, 21×21, gives 41.
A frequency table shows test results: 8 students passed and 2 students failed. What fraction of the students passed?
28
54
51
82
Correct answer: 54
The fraction that passed is 54. There were 10 students total, and 8 passed, so 8 over 10 simplifies to 54.
A histogram shows the number of hours students study per night grouped in ranges. To find how many students studied between 2 and 3 hours, a reader should:
Subtract the shortest bar from the tallest
Add the heights of all the bars
Read the height of the 2-to-3-hour bar
Count the number of bars shown
Correct answer: Read the height of the 2-to-3-hour bar
The reader should read the height of the 2-to-3-hour bar. Each bar's height gives the frequency for that interval, so the height of that specific bar gives the count for those hours.
In an effective argumentative essay, what is the primary function of the thesis statement?
To list every source the writer plans to quote
To provide a personal anecdote that introduces the topic
To summarize the opposing side's strongest evidence
To state the writer's central claim or position on the issue
Correct answer: To state the writer's central claim or position on the issue
Stating the writer's central claim or position is correct. A thesis statement announces the controlling argument the rest of the essay will defend; listing sources, summarizing the opposition, or offering an anecdote may appear elsewhere but do not define the thesis.
A student writes the following opening: "School uniforms should be required in all Georgia public schools because they reduce distractions, lower clothing costs for families, and promote a sense of community." Which feature makes this an effective thesis statement?
It avoids stating any opinion to remain neutral
It defines the term uniform using a dictionary
It asks the reader a rhetorical question
It takes a clear position and previews the supporting reasons
Correct answer: It takes a clear position and previews the supporting reasons
Taking a clear position and previewing the reasons is correct. A strong argumentative thesis both stakes out a debatable claim and forecasts the supporting points; it does not stay neutral, pose a question, or simply define a term.
Which of the following is the weakest thesis statement for an argumentative essay?
Year-round schooling benefits students more than a traditional calendar.
There are many interesting things to say about technology in schools.
Schools should ban smartphones during class to improve student focus.
Standardized testing harms learning and should be reduced.
Correct answer: There are many interesting things to say about technology in schools.
The statement about "many interesting things" is weakest because it is vague and takes no arguable position. The other three each assert a specific, debatable claim that an essay could support, which is the hallmark of an effective argumentative thesis.
When revising the thesis of an argumentative essay, a writer wants to make the claim more precise. Which revision best accomplishes this?
Changing "Pollution is bad" to "Pollution is really very bad"
Changing "Pollution is bad" to "Is pollution bad?"
Changing "Pollution is bad" to "Cities should expand public transit to cut vehicle emissions"
Changing "Pollution is bad" to "Many people think pollution is bad"
Correct answer: Changing "Pollution is bad" to "Cities should expand public transit to cut vehicle emissions"
Revising to "Cities should expand public transit to cut vehicle emissions" is correct because it names a specific position and proposed action. Intensifying with "really very," turning the claim into a question, or attributing it to "many people" adds no precision or arguable focus.
The GACE Writing argumentative task asks the writer to do which of the following?
Take a position on an issue and support it with reasons and examples
Write a personal narrative about a memorable event
Summarize two reading passages without giving an opinion
Describe a scientific process step by step
Correct answer: Take a position on an issue and support it with reasons and examples
Taking a position and supporting it with reasons and examples is correct. The argumentative essay requires the writer to assert and defend a stance; summarizing without opinion describes a source-based task, and narratives or process descriptions are different modes.
Which sentence would function best as a counterargument acknowledgment in an argumentative essay?
Although some argue that longer school days tire students, the added instructional time improves achievement.
Longer school days are the best idea anyone has ever had.
I personally do not like long school days at all.
This essay will discuss longer school days.
Correct answer: Although some argue that longer school days tire students, the added instructional time improves achievement.
The sentence beginning "Although some argue" is correct because it names an opposing view and then responds to it, the essence of a counterargument acknowledgment. The others state opinions or announce the topic without engaging the opposition.
In an argumentative essay, which of the following best strengthens a claim?
Repeating the claim using stronger adjectives
Specific evidence such as relevant facts, data, or examples
Adding more exclamation points for emphasis
Telling the reader the claim is obviously true
Correct answer: Specific evidence such as relevant facts, data, or examples
Specific evidence such as facts, data, or examples is correct because support is what makes an argument persuasive. Repetition, exclamation marks, and asserting that a claim is "obviously true" do not provide actual support.
A writer's argumentative essay drifts into describing personal feelings about the topic rather than defending a position with evidence. What is the most appropriate revision strategy?
Add more emotional language to make the feelings stronger
Replace unsupported feelings with reasons backed by concrete examples
Switch the essay to a narrative about the writer's childhood
Delete the thesis so the essay has no clear claim
Correct answer: Replace unsupported feelings with reasons backed by concrete examples
Replacing feelings with reasons backed by examples is correct because an argumentative essay is judged on logical support, not mood. Removing the thesis, intensifying emotion, or changing to narrative all move further from the argumentative purpose.
Which organizational choice most clearly signals the structure of an argumentative essay to a reader?
The thesis appears only in the final sentence of the essay
The essay alternates randomly between topics without transitions
Each body paragraph develops one supporting reason with evidence
All reasons and evidence are placed in a single long paragraph
Correct answer: Each body paragraph develops one supporting reason with evidence
Having each body paragraph develop one reason with evidence is correct because it gives the argument a clear, traceable structure. Cramming everything into one paragraph, hiding the thesis, or jumping randomly between topics weakens organization.
The GACE Writing source-based task asks the writer to produce which kind of essay?
A summary of a single source with no synthesis
An informative or explanatory essay that draws on two provided sources
A persuasive essay that ignores the provided sources
A poem inspired by the topic
Correct answer: An informative or explanatory essay that draws on two provided sources
An informative or explanatory essay drawing on two sources is correct. The source-based task requires synthesizing information from the readings to explain a topic; it is not persuasive, creative, or a one-source summary.
In a source-based informative essay, how should a writer best use the two provided sources?
Use only one source and ignore the other
Integrate and synthesize information from both, attributing ideas to each
Argue against both sources to prove a personal opinion
Copy long passages word for word without citation
Correct answer: Integrate and synthesize information from both, attributing ideas to each
Integrating and synthesizing both sources with attribution is correct because the task rewards combining and crediting source material. Copying without citation, using a single source, or turning the essay into personal argument all miss the informative, synthesis-based purpose.
Which sentence best demonstrates synthesis of two sources in an explanatory essay?
The end of the essay should mention reading programs.
Source 1 is about reading programs.
While Source 1 emphasizes cost savings, Source 2 notes that early literacy programs also improve long-term reading skills.
I think reading programs are good for kids.
Correct answer: While Source 1 emphasizes cost savings, Source 2 notes that early literacy programs also improve long-term reading skills.
The sentence contrasting Source 1 and Source 2 is correct because it draws on both texts and shows their relationship, which is synthesis. The other options summarize one source vaguely, offer unsupported opinion, or merely plan the essay.
What is the main difference in purpose between the argumentative and the source-based informative essays on GACE Writing?
The argumentative essay defends a position; the informative essay explains using sources
The argumentative essay must be shorter than the informative essay
The informative essay requires no thesis at all
The argumentative essay forbids the use of any examples
Correct answer: The argumentative essay defends a position; the informative essay explains using sources
The distinction that the argumentative essay defends a position while the informative essay explains using sources is correct. Length, the absence of a thesis, and a ban on examples are not the defining differences between the two tasks.
A student writing a source-based essay paraphrases an idea from a reading. What must the student still do?
Place the entire essay in quotation marks
Omit any reference to the source because the words are different
Attribute the idea to the source even though the wording is changed
Invent a statistic to make the point stronger
Correct answer: Attribute the idea to the source even though the wording is changed
Attributing the paraphrased idea to its source is correct because paraphrasing changes wording but not authorship of the idea. Dropping attribution, quoting the whole essay, or fabricating data are all inappropriate in source-based writing.
Which sentence contains a subject-verb agreement error?
My sister enjoys reading mystery novels.
Each of the dogs needs a leash.
The group of students were excited about the field trip.
The teacher and her aide work in the same room.
Correct answer: The group of students were excited about the field trip.
"The group of students were excited" contains the error because the singular subject "group" needs the verb "was." The other sentences correctly match a singular subject with a singular verb or a plural subject with a plural verb.
Choose the verb that makes the sentence grammatically correct: "Neither the principal nor the teachers ___ available for the meeting."
Is
Has been
Are
Was
Correct answer: Are
"Are" is correct because in a neither/nor construction the verb agrees with the nearer subject, and "teachers" is plural. The singular forms "is," "was," and "has been" would only fit if the closer subject were singular.
Which sentence uses subject-verb agreement correctly?
There be several reasons to support the proposal.
There is several reasons to support the proposal.
There were a reason to support the proposal.
There are several reasons to support the proposal.
Correct answer: There are several reasons to support the proposal.
"There are several reasons" is correct because the plural subject "reasons" requires the plural verb "are." The other versions pair a plural subject with a singular verb, a singular subject with a plural verb, or use a nonstandard verb form.
In the sentence "The committee ___ its decision next week," which verb maintains correct agreement when the committee acts as a single unit?
Announces
Have announced
Announce
Are announcing
Correct answer: Announces
"Announces" is correct because a collective noun acting as one unit takes a singular verb, and "its" already signals singular treatment. The plural forms "announce," "are announcing," and "have announced" conflict with the singular pronoun.
Which revision corrects the subject-verb agreement in this sentence: "The list of supplies were posted on the door"?
The lists of supplies was posted on the door.
The list of supplies was posted on the door.
The list of supply were posted on the door.
The list of supplies were posting on the door.
Correct answer: The list of supplies was posted on the door.
"The list of supplies was posted" is correct because the true subject is the singular "list," not the plural object of the preposition "supplies." The other revisions keep the plural verb, alter unrelated words, or create new errors.
Which sentence has a pronoun-antecedent agreement error?
The boys finished their assignments early.
Every student must bring their own calculator.
The cat licked its paws.
She gave the book to her brother.
Correct answer: Every student must bring their own calculator.
"Every student must bring their own calculator" contains the agreement error in formal standard usage because the singular antecedent "student" traditionally pairs with a singular pronoun such as "his or her." The other sentences match plural with plural or singular with singular correctly.
Choose the pronoun that agrees with its antecedent: "Each of the women presented ___ research at the conference."
Its
Her
Their
Our
Correct answer: Her
"Her" is correct because "each" is singular and refers to one woman at a time. "Their" would treat the antecedent as plural, while "its" and "our" do not match a singular feminine antecedent.
Which sentence correctly maintains pronoun-antecedent agreement?
A nurse should always wash our hands before seeing a patient.
A nurse should always wash their hands, and they should chart the visit.
A nurse should always wash his or her hands before seeing a patient.
A nurse should always wash its hands before seeing a patient.
Correct answer: A nurse should always wash his or her hands before seeing a patient.
"A nurse should always wash his or her hands" is correct because the singular antecedent "nurse" pairs with the singular phrase "his or her" in formal usage. The other options shift to plural "their," use the inanimate "its," or use the first-person "our."
A sentence reads, "When a teacher grades essays, you should give clear feedback." Which revision fixes the faulty pronoun shift?
When a teacher grades essays, them should give clear feedback.
When a teacher grades essays, he or she should give clear feedback.
When a teacher grade essays, you should give clear feedback.
When you grade essays, a teacher should give clear feedback.
Correct answer: When a teacher grades essays, he or she should give clear feedback.
Changing the pronoun to "he or she" is correct because it keeps the third-person antecedent "teacher" consistent. Swapping the subjects, introducing a verb error, or using the objective "them" as a subject all fail to fix the shift.
Which sentence is a fragment?
Because the rain delayed the game for two hours.
The game was delayed; the rain was heavy.
After it rained, the game finally started.
The rain delayed the game for two hours.
Correct answer: Because the rain delayed the game for two hours.
"Because the rain delayed the game for two hours" is a fragment because the subordinating conjunction "because" leaves the thought incomplete with no independent clause. The other choices each contain a complete independent clause.
Which sentence is a run-on (fused sentence)?
The bell rang; the students rushed to lunch.
The bell rang, so the students rushed to lunch.
When the bell rang, the students rushed to lunch.
The bell rang the students rushed to lunch.
Correct answer: The bell rang the students rushed to lunch.
"The bell rang the students rushed to lunch" is a run-on because two independent clauses are joined with no punctuation or conjunction. The other versions correctly use a comma plus conjunction, a semicolon, or subordination.
Which sentence contains a comma splice?
Because the museum was crowded, we decided to leave early.
The museum was crowded; we decided to leave early.
The museum was crowded, we decided to leave early.
The museum was crowded, so we decided to leave early.
Correct answer: The museum was crowded, we decided to leave early.
"The museum was crowded, we decided to leave early" is a comma splice because two independent clauses are joined by only a comma. The other versions correctly use a coordinating conjunction, a semicolon, or subordination.
Which revision best corrects this run-on: "The experiment failed the results were inconclusive"?
The experiment failed the results, were inconclusive.
The experiment failed the results were, inconclusive.
The experiment, failed the results were inconclusive.
The experiment failed because the results were inconclusive.
Correct answer: The experiment failed because the results were inconclusive.
"The experiment failed because the results were inconclusive" is correct because it joins the clauses with a logical subordinating conjunction. The other options merely insert commas in arbitrary spots without resolving the fused clauses.
Which group of words is a complete sentence?
After the volunteers cleaned the park.
Which the volunteers cleaned on Saturday.
Cleaning the park on Saturday morning.
The volunteers cleaned the park on Saturday.
Correct answer: The volunteers cleaned the park on Saturday.
"The volunteers cleaned the park on Saturday" is correct because it has a subject and a complete predicate that express a full thought. The other options are fragments: a phrase, a relative clause, and a subordinate clause.
Which sentence demonstrates correct parallel structure?
The coach told the team to practice hard, well eating, and resting often.
The coach told the team practicing hard, to eat well, and rest.
The coach told the team to practice hard, eating well, and that they should rest.
The coach told the team to practice hard, to eat well, and to rest often.
Correct answer: The coach told the team to practice hard, to eat well, and to rest often.
The sentence with "to practice, to eat, to rest" is correct because all three items share the same infinitive form, achieving parallelism. The other versions mix infinitives, gerunds, and clauses, breaking the parallel pattern.
Which revision corrects the faulty parallelism in "She likes hiking, swimming, and to bike"?
She likes to hike, swimming, and to bike.
She likes hike, swim, and to bike.
She likes hiking, swimming, and biking.
She likes hiking, to swim, and biking.
Correct answer: She likes hiking, swimming, and biking.
"She likes hiking, swimming, and biking" is correct because all three items are gerunds, creating parallel form. The other options mix gerunds with infinitives or base verbs, leaving the list unbalanced.
Which sentence contains a parallelism error?
We came, we saw, we conquered.
The report was clear, concise, and informative.
He spoke quickly, confidently, and persuasively.
The report was clear, concise, and it was informative.
Correct answer: The report was clear, concise, and it was informative.
"The report was clear, concise, and it was informative" breaks parallelism because the first two items are adjectives but the third is a full clause. The other sentences keep all items in matching grammatical form.
Why is parallel structure valued in formal writing?
It makes related ideas read clearly and with balanced rhythm
It allows the writer to avoid using any conjunctions
It guarantees the sentence will be longer
It removes the need for punctuation in lists
Correct answer: It makes related ideas read clearly and with balanced rhythm
Making related ideas read clearly with balanced rhythm is correct because parallelism aligns matching grammatical forms for coherence and emphasis. It does not eliminate conjunctions or punctuation, nor does it exist to lengthen sentences.
Choose the version with correct parallel structure: "The principal asked teachers to update grades, ___, and to contact parents."
Filing reports
To file reports
Reports should be filed
That reports be filed
Correct answer: To file reports
"To file reports" is correct because it matches the infinitive form of the other items, "to update" and "to contact." The gerund and clause options break the parallel infinitive pattern.
Which sentence contains a dangling modifier?
While I was walking to school, the rain soaked my backpack.
Walking to school, I got my backpack soaked by the rain.
The rain soaked my backpack as I walked to school.
Walking to school, the rain soaked my backpack.
Correct answer: Walking to school, the rain soaked my backpack.
"Walking to school, the rain soaked my backpack" has a dangling modifier because the introductory phrase illogically describes "the rain" as walking. The other versions correctly attach the modifier to the person doing the walking.
Which sentence contains a misplaced modifier?
The teacher handed out the tests to the students that were stapled.
The teacher handed out the stapled tests to the students.
The teacher handed the students the tests that were stapled.
The teacher gave each student a stapled test.
Correct answer: The teacher handed out the tests to the students that were stapled.
"The teacher handed out the tests to the students that were stapled" misplaces the modifier so it seems the students were stapled. The other versions place "stapled" next to "tests," where it logically belongs.
Which revision corrects the dangling modifier in "After finishing the exam, the cafeteria was the next stop"?
After finishing, the exam led to the cafeteria.
After finishing the exam, the students headed to the cafeteria.
After finishing the exam, the next stop was the cafeteria.
The cafeteria, after finishing the exam, was the next stop.
Correct answer: After finishing the exam, the students headed to the cafeteria.
"After finishing the exam, the students headed to the cafeteria" is correct because it names the people who finished the exam right after the modifier. The other versions still leave the modifier attached to a place or thing that could not finish an exam.
In the sentence "Sarah almost drove her kids to school every day," what does the placement of "almost" most likely create?
A misplaced modifier that distorts the intended meaning
A correct emphasis on the frequency of driving
A run-on sentence
A subject-verb agreement error
Correct answer: A misplaced modifier that distorts the intended meaning
The placement of "almost" creates a misplaced modifier because it suggests Sarah nearly drove but did not, when the writer likely means she drove on almost every day. The sentence has no agreement error or run-on, and the placement is not a correct emphasis.
Which sentence uses commas correctly?
After the long, meeting we went out for coffee.
After, the long meeting we went out for coffee.
After the long meeting, we went out for coffee.
After the long meeting we went out, for coffee.
Correct answer: After the long meeting, we went out for coffee.
"After the long meeting, we went out for coffee" is correct because a comma follows the introductory phrase. The other versions insert commas in places that interrupt the sentence illogically.
Which sentence correctly uses commas in a series?
We bought apples oranges, and bananas at the market.
We bought, apples, oranges and bananas at the market.
We bought apples, oranges and, bananas at the market.
We bought apples, oranges, and bananas at the market.
Correct answer: We bought apples, oranges, and bananas at the market.
"We bought apples, oranges, and bananas" is correct because commas separate each item in the series. The other versions omit needed commas or place them where no break belongs.
Which sentence needs a comma to set off a nonessential clause?
My brother who lives in Atlanta is visiting next week.
The book that I borrowed is overdue.
The car that he bought is red.
Students who study regularly tend to do well.
Correct answer: My brother who lives in Atlanta is visiting next week.
"My brother who lives in Atlanta is visiting next week" needs commas around "who lives in Atlanta" because that clause adds nonessential information. The other sentences contain essential clauses that should not be set off by commas.
Which sentence correctly uses a comma before a coordinating conjunction joining two independent clauses?
The storm grew stronger so, the principal canceled recess.
The storm grew stronger, so the principal canceled recess.
The storm, grew stronger so the principal canceled recess.
The storm grew stronger so the principal, canceled recess.
Correct answer: The storm grew stronger, so the principal canceled recess.
"The storm grew stronger, so the principal canceled recess" is correct because a comma precedes the coordinating conjunction "so" that joins two independent clauses. The other versions misplace the comma.
Which sentence contains an unnecessary comma?
Although it was raining, the game continued.
After dinner, we washed the dishes.
The student, who studied hard, passed the exam, with ease.
Yes, I will attend the meeting.
Correct answer: The student, who studied hard, passed the exam, with ease.
"The student, who studied hard, passed the exam, with ease" contains an unnecessary comma before "with ease," which is a normal prepositional phrase that should not be set off. The other sentences use commas appropriately after introductory or transitional elements.
Which sentence is capitalized correctly?
We visited the atlanta history center on friday in october
We Visited the atlanta History center on Friday in October.
We visited the Atlanta History Center on Friday in October.
We visited the Atlanta history center on friday in October.
Correct answer: We visited the Atlanta History Center on Friday in October.
"We visited the Atlanta History Center on Friday in October" is correct because proper nouns, days, and months are capitalized while common words are not. The other versions either omit needed capitals or capitalize ordinary words.
Which word should be capitalized in the sentence "my favorite subject is history, but i also like spanish"?
Subject, because it is the topic of the sentence
History, because all school subjects are capitalized
Favorite, because it begins an important idea
Spanish, because it is a language derived from a proper noun
Correct answer: Spanish, because it is a language derived from a proper noun
"Spanish" should be capitalized because names of languages are proper adjectives. General subjects such as "history" are not capitalized, and "favorite" and "subject" are ordinary common words.
Which title is capitalized correctly using standard title case?
The Catcher In The Rye
The catcher in the rye
The catcher in the Rye
The Catcher in the Rye
Correct answer: The Catcher in the Rye
"The Catcher in the Rye" is correct because the first word and all major words are capitalized while short prepositions and articles within the title are lowercase. The other versions over-capitalize minor words or fail to capitalize major ones.
Which sentence contains a capitalization error?
In the spring, we drove north to see our grandmother.
My grandmother lives north of the city.
We drove north to visit Grandma in the spring.
We drove North to visit Grandma in the Spring.
Correct answer: We drove North to visit Grandma in the Spring.
"We drove North to visit Grandma in the Spring" has errors because compass directions used generally and the names of seasons are not capitalized. The other sentences correctly lowercase "north" and "spring."
Which sentence maintains consistent verb tense?
Yesterday she walks to the store and bought some milk.
Yesterday she walk to the store and buy some milk.
Yesterday she walked to the store and bought some milk.
Yesterday she walked to the store and buys some milk.
Correct answer: Yesterday she walked to the store and bought some milk.
"Yesterday she walked to the store and bought some milk" is correct because both verbs are in the past tense, matching the time word "yesterday." The other versions shift between past and present tense.
Which revision corrects the tense shift in "The scientist records the data and then analyzed it"?
The scientist record the data and then analyzed it.
The scientist recorded the data and then analyze it.
The scientist records the data and then will analyzed it.
The scientist records the data and then analyzes it.
Correct answer: The scientist records the data and then analyzes it.
"The scientist records the data and then analyzes it" is correct because both verbs stay in the present tense. The other revisions either mix tenses or use ungrammatical verb forms.
In a narrative written in the past tense, which sentence reflects an inappropriate tense shift?
She opened the door and sees a stranger standing there.
She opened the door and saw a stranger standing there.
She opened the door and froze when she saw the stranger.
She had opened the door before she saw the stranger.
Correct answer: She opened the door and sees a stranger standing there.
"She opened the door and sees a stranger" reflects an inappropriate shift because it jumps from past "opened" to present "sees." The other sentences keep a consistent past-tense timeline.
Which part of speech is the underlined word in this sentence: "The teacher spoke quietly to the nervous student"? (underlined: quietly)
Noun
Preposition
Adjective
Adverb
Correct answer: Adverb
"Quietly" is an adverb because it modifies the verb "spoke" by describing how the teacher spoke. It is not an adjective, noun, or preposition.
In the sentence "The bright lamp illuminated the dark room," what part of speech are "bright" and "dark"?
Adjectives
Conjunctions
Adverbs
Verbs
Correct answer: Adjectives
"Bright" and "dark" are adjectives because each modifies a noun, describing the lamp and the room. They are not verbs, adverbs, or conjunctions.
Which word in the sentence "She quickly ran across the field" is a preposition?
Field
Ran
Across
Quickly
Correct answer: Across
"Across" is the preposition because it shows the relationship between "ran" and "the field." "Quickly" is an adverb, "ran" is a verb, and "field" is a noun.
Identify the conjunction in this sentence: "We wanted to go outside, but it started to rain."
Started
But
Wanted
Outside
Correct answer: But
"But" is the conjunction because it joins the two independent clauses. "Wanted" and "started" are verbs, and "outside" functions as an adverb.
Which sentence uses a pronoun correctly in place of the noun?
Maria lost her keys, so her searched the whole car.
Maria lost her keys, so him searched the whole car.
Maria lost she keys, so she searched the whole car.
Maria lost her keys, so she searched the whole car.
Correct answer: Maria lost her keys, so she searched the whole car.
"Maria lost her keys, so she searched the whole car" is correct because "she" properly serves as the subject pronoun and "her" as the possessive. The other versions misuse object or possessive forms in the subject position.
In the sentence "Wow, that was an amazing performance," what part of speech is "Wow"?
Adjective
Pronoun
Interjection
Verb
Correct answer: Interjection
"Wow" is an interjection because it expresses sudden emotion and stands apart from the grammatical structure of the sentence. It is not describing a noun, showing action, or replacing a noun.
Which sentence uses an apostrophe correctly?
The children's' books were left on the shelf.
The childrens' books were left on the shelf.
The children's books were left on the shelf.
The childrens books were left on the shelf.
Correct answer: The children's books were left on the shelf.
"The children's books" is correct because "children" is already plural, so the possessive adds apostrophe plus s. The other versions misplace or double the apostrophe.
Which sentence shows correct use of an apostrophe for a contraction?
It's going to rain before the game starts.
Its going to rain before the game starts.
Its' going to rain before the game starts.
It is' going to rain before the game starts.
Correct answer: It's going to rain before the game starts.
"It's going to rain" is correct because "it's" is the contraction for "it is." "Its" without an apostrophe is the possessive form, and the other versions misplace the apostrophe.
Which sentence correctly forms the possessive of a singular noun ending in s?
The bosss office is on the third floor.
The boss's office is on the third floor.
The boss office's is on the third floor.
The boss' office is on the third floor.
Correct answer: The boss's office is on the third floor.
"The boss's office" is correct because a singular noun typically takes apostrophe plus s to form the possessive even when it ends in s. The other versions omit the s, drop the apostrophe, or attach it to the wrong word.
Which sentence contains an apostrophe error?
The dog wagged it's tail happily.
Sarah's project won first place.
The teachers' lounge is being remodeled.
They're planning to leave at noon.
Correct answer: The dog wagged it's tail happily.
"The dog wagged it's tail" contains an error because "it's" means "it is"; the possessive should be "its." The other sentences correctly use a plural possessive, a singular possessive, and a contraction.
When integrating a direct quotation from a source into an essay, what must the writer do?
Enclose the borrowed words in quotation marks and credit the source
Use the quotation as the entire thesis statement
Place the quotation in the essay without any attribution
Change a few words so quotation marks are not needed
Correct answer: Enclose the borrowed words in quotation marks and credit the source
Enclosing borrowed words in quotation marks and crediting the source is correct because direct quotations require both marks and attribution. Altering a few words, omitting credit, or substituting a quote for the thesis are improper uses of source material.
A writer wants to refer to information from "Source 1" in the GACE source-based essay. Which is the most appropriate way to integrate it?
Source 1 (no further detail) says things about recess.
I read somewhere that recess is good for kids.
According to Source 1, recess improves student concentration in afternoon classes.
Recess improves concentration, and that is just common knowledge.
Correct answer: According to Source 1, recess improves student concentration in afternoon classes.
"According to Source 1, recess improves student concentration" is correct because it attributes a specific idea to the named source. The other options present the idea as common knowledge, give no real content, or use vague secondhand sourcing.
Why is proper citation of sources important in academic writing?
It gives credit to original authors and helps readers verify information
It makes the essay longer without adding content
It allows the writer to avoid forming any conclusions
It replaces the need for a thesis statement
Correct answer: It gives credit to original authors and helps readers verify information
Giving credit and helping readers verify information is correct because citation acknowledges authorship and supports credibility. Citation does not exist to lengthen essays, avoid conclusions, or replace a thesis.
Which of the following would generally be considered the most credible source for an academic essay?
An advertisement promoting a product
An anonymous comment on a social media post
A personal blog with no listed author or citations
A peer-reviewed study published in an education research journal
Correct answer: A peer-reviewed study published in an education research journal
A peer-reviewed study in an education journal is most credible because it has undergone expert review and documents its evidence. An anonymous comment, an unattributed blog, and an advertisement lack accountability or are designed to persuade rather than inform.
When evaluating a source for credibility, which question is most useful to ask?
Does the website use bright colors?
How many images appear on the page?
How long is the article?
Who is the author and what are their qualifications?
Correct answer: Who is the author and what are their qualifications?
Asking who the author is and what their qualifications are is most useful because authority and expertise are central to credibility. Length, color scheme, and number of images do not indicate whether the information is trustworthy.
A student finds two sources on a topic: one is a government agency report, and the other is a forum post claiming personal experience. How should the student weigh them?
Discard both because online sources cannot be trusted
Treat the forum post as more reliable because it is more personal
Use only the source that agrees with the student's opinion
Generally treat the government report as more authoritative while noting any bias
Correct answer: Generally treat the government report as more authoritative while noting any bias
Treating the government report as more authoritative while noting bias is correct because official agency reports typically rest on documented data, though no source is immune from bias. A single forum post, blanket distrust, or cherry-picking by opinion all weaken sound evaluation.
Which factor would most reduce a source's credibility for a research-based essay?
The source was written by a recognized expert in the field
The source presents data from a documented study
The source includes a list of references at the end
The source makes strong claims with no supporting evidence or citations
Correct answer: The source makes strong claims with no supporting evidence or citations
Strong claims with no supporting evidence or citations most reduce credibility because unsupported assertions cannot be verified. Expert authorship, a reference list, and documented data all tend to increase credibility.
Which sentence has correct subject-verb agreement with a compound subject?
Reading and writing be essential skills for college.
Reading and writing is essential skills for college.
Reading and writing are essential skills for college.
Reading and writing was essential skills for college.
Correct answer: Reading and writing are essential skills for college.
"Reading and writing are essential skills" is correct because a compound subject joined by "and" takes a plural verb. The singular and nonstandard verbs do not agree with the plural subject.
Which revision corrects the agreement error in "One of the teachers are absent today"?
One of the teachers is absent today.
One of the teachers be absent today.
One of the teachers were absent today.
One of the teacher are absent today.
Correct answer: One of the teachers is absent today.
"One of the teachers is absent today" is correct because the subject is the singular "one," not the plural "teachers" in the prepositional phrase. The other versions keep the plural verb or use a nonstandard form.
Which sentence correctly uses a semicolon to join two related independent clauses?
The first draft was messy; because the final version was polished.
The first draft was messy, the final version was polished.
The first draft was messy; and the final version was polished.
The first draft was messy; the final version was polished.
Correct answer: The first draft was messy; the final version was polished.
"The first draft was messy; the final version was polished" is correct because a semicolon links two complete, related independent clauses. The other versions use only a comma, add a conjunction after the semicolon, or attach a subordinate clause.
A writer reviews a body paragraph and finds the topic sentence missing. What is the best revision?
Delete the paragraph entirely to avoid confusion
Repeat the thesis statement word for word
Add a clear topic sentence that states the paragraph's main point
Move the conclusion of the essay into the paragraph
Correct answer: Add a clear topic sentence that states the paragraph's main point
Adding a clear topic sentence that states the paragraph's main point is correct because each body paragraph needs a controlling idea. Deleting the paragraph, importing the conclusion, or copying the thesis verbatim do not give the paragraph its own focus.
Which transition best signals a contrast between two ideas in an essay?
Therefore
However
For example
In addition
Correct answer: However
"However" is correct because it signals a contrast or shift between ideas. "Therefore" shows result, "for example" introduces an illustration, and "in addition" adds similar information.
Which choice best improves the conclusion of an argumentative essay?
Simply repeat the introduction word for word
Apologize for any weaknesses in the argument
Restate the position and summarize the key reasons without adding new evidence
Introduce a brand-new argument the essay never discussed
Correct answer: Restate the position and summarize the key reasons without adding new evidence
Restating the position and summarizing the key reasons is correct because a conclusion should reinforce the argument already made. Adding new arguments, apologizing, or copying the introduction weaken the closing.
Which sentence correctly uses the possessive form to show joint ownership?
Maria's and Tom's restaurant won an award.
Maria and Toms' restaurant won an award.
Maria and Tom's restaurant won an award.
Marias and Toms restaurant won an award.
Correct answer: Maria and Tom's restaurant won an award.
"Maria and Tom's restaurant" is correct because joint ownership of one restaurant places the apostrophe on only the last name. The other versions show separate ownership or omit the apostrophe.
Which underlined word functions as a noun in the sentence "Running is good exercise"? (underlined: Running)
Running, because it describes the exercise
Running, because it connects two clauses
Running, because it modifies the verb is
Running, because it acts as the subject of the sentence
Correct answer: Running, because it acts as the subject of the sentence
"Running" functions as a noun here because the gerund serves as the subject of "is." It is not modifying "exercise" as an adjective, modifying a verb as an adverb, or joining clauses as a conjunction.
Which sentence demonstrates correct pronoun case?
The award went to Jordan and we.
The award went to Jordan and I.
The award went to Jordan and myself.
The award went to Jordan and me.
Correct answer: The award went to Jordan and me.
"The award went to Jordan and me" is correct because the pronoun is the object of the preposition "to" and requires the objective case "me." "I" and "we" are subjective, and "myself" is a reflexive form used incorrectly here.
Which sentence correctly uses a comma after an introductory dependent clause?
When the experiment ended the students recorded their results.
When the experiment ended, the students recorded their results.
When the experiment ended the students, recorded their results.
When the experiment, ended the students recorded their results.
Correct answer: When the experiment ended, the students recorded their results.
"When the experiment ended, the students recorded their results" is correct because a comma follows the introductory dependent clause. The other versions omit the comma or place it inside the clause.
A writer wants to revise a wordy sentence: "Due to the fact that it was raining, we stayed inside." Which revision is most concise while keeping the meaning?
It was raining, due to the fact, we stayed inside.
We stayed inside, and the reason was due to the fact of rain.
Because it was raining, we stayed inside.
Due to the fact of the raining, we stayed inside.
Correct answer: Because it was raining, we stayed inside.
"Because it was raining, we stayed inside" is correct because "because" replaces the wordy phrase "due to the fact that" without losing meaning. The other revisions keep or worsen the wordiness.
Which sentence correctly capitalizes a proper noun while leaving common nouns lowercase?
We studied the Civil War in our history class.
We studied the civil war in our history class
We studied the Civil War in our History Class.
We studied the civil war in our History Class.
Correct answer: We studied the Civil War in our history class.
"We studied the Civil War in our history class" is correct because the historical event "Civil War" is a proper noun while "history class" is a common noun. The other versions capitalize common nouns or fail to capitalize the proper noun.
Which version of the sentence corrects the faulty parallelism in "The job requires speaking clearly, to write well, and good organization"?
The job requires to speak clearly, writing well, and good organization.
The job requires speaking clearly, writing well, and organizing carefully.
The job requires clear speaking, to write well, and good organization.
The job requires speaking clearly, to write well, and organize.
Correct answer: The job requires speaking clearly, writing well, and organizing carefully.
"Speaking clearly, writing well, and organizing carefully" is correct because all three items are gerund phrases. The other versions mix gerunds, infinitives, and noun phrases, breaking the parallel structure.
Which sentence contains a verb tense error that disrupts a present-tense expository paragraph?
The water cycle begins when the sun heated the ocean surface.
Condensation forms clouds that produce rain.
Evaporation occurs as water rises into the atmosphere.
The water cycle begins when the sun heats the ocean surface.
Correct answer: The water cycle begins when the sun heated the ocean surface.
"The water cycle begins when the sun heated the ocean surface" contains the error because it shifts from present "begins" to past "heated." The other sentences stay consistently in the present tense appropriate for explaining a general process.
Which sentence is free of fragments and run-ons?
The library closes early on Sundays, we finished our research on Saturday.
The library closes early on Sundays, so we finished our research on Saturday.
Closing early on Sundays. We finished our research on Saturday.
The library closes early on Sundays we finished our research on Saturday.
Correct answer: The library closes early on Sundays, so we finished our research on Saturday.
"The library closes early on Sundays, so we finished our research on Saturday" is correct because the two independent clauses are joined by a comma and the conjunction "so." The others form a run-on, a fragment, or a comma splice.
A peer review notes that an essay's argument relies entirely on the writer's opinion with no outside support. What revision best addresses this feedback?
Add credible evidence such as facts, statistics, or expert testimony
Add more sentences repeating the same opinion
Make the language more formal but keep it opinion-only
Move the opinion to the conclusion instead of the introduction
Correct answer: Add credible evidence such as facts, statistics, or expert testimony
Adding credible evidence such as facts, statistics, or expert testimony is correct because outside support strengthens an argument beyond opinion. Repeating the opinion, formalizing the wording, or relocating the claim do not supply the missing support.
Which sentence correctly uses an adjective and an adverb?
The careful driver slowed down smooth at the intersection.
The carefully driver slowed down smooth at the intersection.
The carefully driver slowed down smoothly at the intersection.
The careful driver slowed down smoothly at the intersection.
Correct answer: The careful driver slowed down smoothly at the intersection.
"The careful driver slowed down smoothly" is correct because the adjective "careful" modifies the noun "driver" and the adverb "smoothly" modifies the verb "slowed." The other versions swap the adjective and adverb forms incorrectly.
When a writer paraphrases a source but uses several of the source's exact phrases without quotation marks, this constitutes which problem?
A grammatical fragment
A run-on sentence
Improper citation that borders on plagiarism
A correct paraphrase requiring no marks
Correct answer: Improper citation that borders on plagiarism
Using the source's exact phrases without quotation marks is improper citation bordering on plagiarism because borrowed wording must be quoted and credited. It is not a correct paraphrase, and the issue is one of attribution rather than grammar.
Which revision fixes the misplaced modifier in "He served sandwiches to the children on paper plates"?
On paper plates he served sandwiches to the children that were hungry.
He served the children sandwiches on paper plates.
He served sandwiches to the children, on paper plates being used.
He served sandwiches on the children to paper plates.
Correct answer: He served the children sandwiches on paper plates.
"He served the children sandwiches on paper plates" is correct because it places "on paper plates" near "sandwiches," the items actually on the plates. The original wording suggests the children were on the plates, and the other revisions are awkward or unclear.
Which sentence correctly uses commas to set off a direct address?
Students please, turn in your essays by Friday.
Students please turn in your essays by Friday.
Students, please turn in your essays by Friday.
Students, please turn in your essays by, Friday.
Correct answer: Students, please turn in your essays by Friday.
"Students, please turn in your essays by Friday" is correct because a comma sets off the noun of direct address. The other versions omit the comma or insert one where no pause belongs.
Which sentence shows correct agreement between a collective noun and verb when members act individually?
The faculty is disagree about the new schedule.
The faculty disagreeing about the new schedule.
The faculty disagrees among each individual member loudly together.
The faculty disagree about the new schedule.
Correct answer: The faculty disagree about the new schedule.
"The faculty disagree about the new schedule" is correct because when members of a collective noun act as individuals, a plural verb is appropriate. The other options use awkward phrasing, a nonstandard verb pairing, or a fragment.
In the GACE source-based essay, which approach best demonstrates that the writer understood and used the sources rather than just summarizing one?
Drawing key points from both sources and explaining how they relate
Quoting one source repeatedly without referencing the other
Ignoring the sources and writing a personal opinion essay
Retelling Source 1 paragraph by paragraph in order
Correct answer: Drawing key points from both sources and explaining how they relate
Drawing key points from both sources and explaining their relationship is correct because it shows comprehension and synthesis. Over-quoting one source, retelling a single source in order, or ignoring the sources all fall short of the source-based purpose.
Which sentence correctly distinguishes "who" and "whom"?
To whom should I address the letter?
To who should I address the letter?
Who did you give the book?
Whom is going to the meeting?
Correct answer: To whom should I address the letter?
"To whom should I address the letter?" is correct because "whom" serves as the object of the preposition "to." The other versions misuse "who" as an object or "whom" as a subject.
Which sentence correctly forms the plural possessive?
The students' lockers are near the gym.
The students lockers are near the gym.
The student's lockers are near the gym.
The students lockers' are near the gym.
Correct answer: The students' lockers are near the gym.
"The students' lockers" is correct because the plural noun "students" ending in s takes only an apostrophe after the s to show possession. The other versions form a singular possessive, misplace the apostrophe, or omit it.
Which sentence corrects the dangling modifier "To improve their writing, more reading is recommended"?
To improve their writing, reading more is the recommendation.
More reading is recommended, to improve their writing.
To improve their writing, students should read more.
To improve their writing more, reading is recommended.
Correct answer: To improve their writing, students should read more.
"To improve their writing, students should read more" is correct because the introductory phrase now clearly modifies "students," who can improve their writing. The other versions leave the modifier attached to "reading" or "recommendation," which cannot logically improve their own writing.
Which sentence demonstrates the most effective combination of two short sentences without creating an error?
The wind howled, and the rain pounded against the windows.
The wind howled, the rain pounded against the windows.
The wind howled the rain pounded against the windows.
The wind howled and the, rain pounded against the windows.
Correct answer: The wind howled, and the rain pounded against the windows.
"The wind howled, and the rain pounded against the windows" is correct because the two independent clauses are joined by a comma and the coordinating conjunction "and." The other versions create a run-on, a comma splice, or a misplaced comma.
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In reading comprehension, what is the main idea of a passage?
Pick an answer to see the explanation
The GACE Program Admission assessment is the basic-skills exam administered for the Georgia Professional Standards Commission (GaPSC) by ETS for candidates entering a Georgia educator-preparation program. It measures the reading, mathematics, and writing skills needed to succeed as a teacher. This free practice test mirrors the real three-test assessment, so passing it means you are ready.[2]
Click Start Test above to launch the Complete GACE simulation (the Combined Test 710), run a single test on its own clock, or drill one test’s questions. The hub groups everything under the three scored tests so your practice matches how the real assessment is built and timed.
The GACE Program Admission is split into three tests — Test I: Reading (210), Test II: Mathematics (211), and Test III: Writing (212) — and each one is scored separately to a scaled 250. You have to pass all three.[1]
Every question is tagged to its official test and includes a clear explanation, so you learn the reasoning behind reading comprehension, quantitative problem-solving, and effective writing — not just the answer. You can take the tests individually or together as the Combined Test 710, keeping each test you pass.[1]
GACE Program Admission at a Glance
The single most important thing to understand about the GACE Program Admission is that it is three separately scored tests — each with its own scaled-250 pass mark. The table below lays out all three tests, their separate clocks, and the per-test pass requirement.
GACE Program Admission Assessment at a glance
Detail
GACE Program Admission Assessment
Owner / Administrator
Georgia Professional Standards Commission (GaPSC); delivered by ETS
Test I — Reading (210)
56 selected-response questions · 85-minute testing time
Test II — Mathematics (211)
56 selected-response questions · 90-minute testing time
Test III — Writing (212)
40 selected-response questions + 2 essays · 100-minute testing time
Combined Test (710)
All three in one session · 152 selected-response + 2 essays
Total Selected-Response Questions
152 (56 + 56 + 40)
Combined Testing Time
4 hours 35 minutes (275 minutes); about 5 hours total seat time
Scheduling
Take each test individually or the full Combined Test 710 in one session
Passing Score
Scaled score of 250 on EACH test (all three required)
Format
Computer-delivered; selected-response plus two writing essays
The GACE Program Admission is three separately scored tests — Reading 210 (56 SR / 85 min), Mathematics 211 (56 SR / 90 min), and Writing 212 (40 SR + 2 essays / 100 min) — and you must reach a scaled 250 on EACH test.
The Three GACE Tests and How They’re Weighted
The GACE Program Admission covers three basic-skills tests. Reading measures comprehension and analysis of written passages, Mathematics covers number and quantity, data and statistics, and algebra and geometry, and Writing pairs a selected-response section with two timed essays.[1]
Our Complete GACE exam (the Combined Test 710) runs all three tests, each on its own clock, weighted to the GACE blueprint. Here is how the selected-response questions break down across the three tests:
GACE selected-response count by test (152 total)
Test I — Reading (210)37% · 56 Qs · 85 min
Test II — Mathematics (211)37% · 56 Qs · 90 min
Test III — Writing (212)26% · 40 Qs · 100 min (+2 essays)
The bars above are each test’s share of the 152 selected-response questions. Reading and Mathematics are the heaviest at 56 questions each, so they deserve the most reps; the Writing test also requires two timed essays beyond its 40 selected-response items.
Practice Questions by Test
Use Start Test for a full weighted Complete GACE simulation, run a single test timed on its own clock, or open the hub and drill one test. After each run you get a per-test breakdown so you know exactly where to focus.
Most candidates need the most reps on the Mathematics test, where rusty algebra, geometry, and data-interpretation skills cost points, and on the Writing test’s timed essays.
Who Takes the GACE Program Admission Assessment?
The GACE Program Admission is typically required for entry into a Georgia educator-preparation program.[3]
Some candidates are exempt if they meet qualifying SAT, ACT, or GRE score thresholds, so the assessment is the standard path for those who do not already have qualifying scores. There is no degree prerequisite for registering for the assessment itself.
Confirm whether the GACE Program Admission is required for your specific pathway, and whether you qualify for an exemption, on the GaPSC and GACE sites, since requirements are updated periodically.[3]
How Do You Apply and Register for the GACE?
To register, create a GACE testing account and choose whether to take a single test or the full Combined Test 710 in one session.
[4] You then select a test center or remote proctored session and a date, and pay the registration fee, which varies by how many tests you book. Review the current GACE registration information for fees, test windows, and retake policies, because ETS and the GaPSC update these periodically.[4]
What Is the Passing Score for the GACE Program Admission?
You must earn a scaled score of 250 or higher on EACH of the three tests — Reading (210), Mathematics (211), and Writing (212).[3]
Because the tests are scored independently, a strong score on one cannot offset a weak score on another. If you pass some tests and not others, you keep the passes and retake only the tests you have not yet cleared.
The scaled 250 is not a raw percentage, so the most reliable strategy is to score consistently high on full, test-by-test practice runs before test day.
How Hard Is the GACE Program Admission?
The GACE Program Admission tests basic college-and-career-readiness skills rather than advanced content, so most prepared candidates pass.
The two most common stumbling blocks are the Mathematics test — where rusty algebra, geometry, and data-interpretation skills cost points — and the Writing test’s two timed essays.[1] Spreading your reps across all three tests is the most efficient path to clearing 250 on each.
152
Selected-response Qs
56 + 56 + 40 across three tests
250
Scaled pass score
required on EACH test
275 min
Combined testing time
all three tests (Combined Test 710)
The takeaway: simulate each test under its own clock until you are consistently clearing a scaled 250 on all three before you book your test date.
What to Expect on Test Day
The GACE Program Admission is a computer-delivered assessment of three tests: Reading (56 questions, 85 minutes), Mathematics (56 questions, 90 minutes), and Writing (40 questions plus 2 essays, 100 minutes).[1]
If you book the Combined Test 710, you take all three in one session of about five hours of total seat time; otherwise you schedule each test on its own date. Each test runs on its own clock, so plan your pacing per test.
Bring a valid, unexpired government-issued photo ID that matches your registration, and arrive early to check in. Simulating each test’s clock with full practice runs makes the pacing feel routine on test day.
How to Use This GACE Practice Test
Respect the three clocks. Run each test timed to its own limit — 85 minutes for Reading, 90 for Mathematics, 100 for Writing.
Diagnose, then drill. Take a Complete GACE simulation to find your weakest test, then drill it on its own.
Prioritize Reading and Math. They carry 56 questions each — bank the most reps there.
Shore up the math. Rusty algebra, geometry, and data interpretation are where most candidates lose points.
Learn the why. Read every explanation — understanding the skill beats memorizing answers.
Why Take the GACE Program Admission?
The GACE Program Admission is the gateway into a Georgia educator-preparation program — it proves you have the reading, math, and writing skills to succeed as a teacher.[3] These free GACE practice tests are the most efficient way to get exam-ready across all three tests.
Conclusion
Passing the GACE Program Admission comes down to three basic-skills tests — Reading, Mathematics, and Writing — each scored to a separate scaled 250. Use this free GACE practice test to find your weakest test, drill it to mastery under its own clock, and walk into each test confident on test day.
GACE Practice Test FAQ
The GACE (Georgia Assessments for the Certification of Educators) Program Admission assessment is owned by the Georgia Professional Standards Commission (GaPSC) and delivered by ETS through its Evaluation Systems group. It measures the basic reading, mathematics, and writing skills needed to enter a Georgia educator-preparation program.
It comprises three tests: Test I Reading (210) with 56 selected-response questions in 85 minutes, Test II Mathematics (211) with 56 selected-response questions in 90 minutes, and Test III Writing (212) with 40 selected-response questions plus 2 essays in 100 minutes. The Combined Test (710) bundles all three in one session.
Across the three tests there are 152 selected-response questions (56 + 56 + 40) plus 2 constructed-response essays on the Writing test. This free practice test focuses on the selected-response portion, which is the largest scored component and the part most candidates need the most reps on.
You must earn a scaled score of 250 or higher on each of the three tests — Reading (210), Mathematics (211), and Writing (212). The tests are scored independently, so you must reach 250 on all three to satisfy the Program Admission requirement.
Yes. You may take each test individually or take the full assessment in a single session as the Combined Test 710. The combined session runs about five hours of total seat time. You keep tests you pass and retake only those you have not yet passed.
The Program Admission assessment is typically required for entry into a Georgia educator-preparation program. Some candidates are exempt if they meet qualifying SAT, ACT, or GRE score thresholds, so check the GaPSC requirements for your pathway before registering.
ETS sets registration fees per individual test, with a combined fee for the Combined Test 710. Fees are updated periodically, so always confirm the current registration cost on the official GACE site before you schedule your test.
The GACE Program Admission tests college-and-career-readiness basic skills rather than advanced content, so most prepared candidates pass — but the Mathematics test trips up those who are rusty on algebra, geometry, and data interpretation, and the Writing test requires two timed essays. Timed, test-by-test practice is the most efficient way to shore up weak areas.
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