Your FREE Classic Learning Test (CLT) Practice Test 2026 – 260+ Q&A
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CLT Practice Questions
What is the best antonym for the word "exonerate"?
Convict
Acquit
Exculpate
Vindicate
Correct answer: Convict
Correct answer: Convict. Explanation: "Exonerate" means to free from blame or responsibility, while "convict" means to find someone guilty of a crime or fault, making it the best antonym.
Choose the word that best completes the sentence: "The scientist's __________ work has influenced an entire generation of researchers."
Tumultuous
Inconsequential
Seminal
Obsolete
Correct answer: Seminal
Correct answer: Seminal. Explanation: "Seminal" refers to work that is original and has a significant influence on later developments. The context indicates that the scientist's work was impactful, making "seminal" the most appropriate word.
Which of the following phrases represents an oxymoron?
Clearly ambiguous
Rapid acceleration
Strong support
Brilliant idea
Correct answer: Clearly ambiguous
Correct answer: Clearly ambiguous. Explanation: An oxymoron is a figure of speech that combines contradictory terms. "Clearly ambiguous" contains conflicting terms, making it an oxymoron.
What is the best synonym for the word "efficacious"?
Effective
Delayed
Difficult
Uncertain
Correct answer: Effective
Correct answer: Effective. Explanation: "Efficacious" means capable of producing the desired effect or result, which aligns with the meaning of "effective."
In the context of literature, what is the meaning of the word "hubris"?
Excessive pride
Relentless ambition
Humble beginnings
Profound sorrow
Correct answer: Excessive pride
Correct answer: Excessive pride. Explanation: "Hubris" refers to excessive pride or self-confidence, often leading to downfall in literary contexts. It's commonly associated with tragic heroes in classical literature.
What does the phrase "a dime a dozen" most likely mean?
Very common
Extremely rare
Highly valuable
Moderately priced
Correct answer: Very common
Correct answer: Very common. Explanation: The phrase "a dime a dozen" indicates that something is extremely common or not of significant value, referring to items that are easily found.
Which of the following words is the best synonym for "reticent"?
Reserved
Articulate
Outgoing
Talkative
Correct answer: Reserved
Correct answer: Reserved. Explanation: "Reticent" refers to someone who is reserved, quiet, or unwilling to speak. Among the options, "reserved" aligns most closely with this meaning.
What is the meaning of the phrase "to throw in the towel"?
To give up
To offer assistance
To question authority
To concede victory
Correct answer: To give up
Correct answer: To give up. Explanation: "To throw in the towel" originates from boxing, where throwing a towel into the ring signified surrender. The phrase means to give up or quit.
Choose the best antonym for the word "meager."
Abundant
Paltry
Sparse
Skimpy
Correct answer: Abundant
Correct answer: Abundant. Explanation: "Meager" refers to something lacking in quantity or quality, while "abundant" indicates a large quantity or ample supply, making it the best antonym.
Which word best completes this sentence? "The __________ mountain range spans several states and is a popular hiking destination."
Colossal
Undulating
Monolithic
Torrential
Correct answer: Colossal
Correct answer: Colossal. Explanation: "Colossal" means extremely large, which fits the context of a large mountain range. The other options do not convey the same sense of size and scope.
What does the term "conundrum" typically refer to?
A complex problem or puzzle
An amusing anecdote
An intricate diagram
A musical composition
Correct answer: A complex problem or puzzle
Correct answer: A complex problem or puzzle. Explanation: "Conundrum" is used to describe a difficult problem or puzzle, typically one that is hard to solve or explain.
Which phrase represents a tautology?
Free gift
Subtle hint
Quiet whisper
Fast sprint
Correct answer: Free gift
Correct answer: Free gift. Explanation: A tautology is a redundant or repetitive expression. A "free gift" is tautological because a gift is inherently free, making it redundant.
Choose the best synonym for "cogent."
Persuasive
Incoherent
Illogical
Ambiguous
Correct answer: Persuasive
Correct answer: Persuasive. Explanation: "Cogent" means clear, logical, and convincing. "Persuasive" is the synonym that aligns most closely with this definition.
What is the meaning of the idiom "to hit the nail on the head"?
To be accurate
To make a mistake
To overstate the truth
To struggle with a task
Correct answer: To be accurate
Correct answer: To be accurate. Explanation: The idiom "to hit the nail on the head" means to be exactly right or accurate, akin to accurately striking a nail's head with a hammer.
Which word best completes this sentence? "Despite the __________ of the evidence, the jury remained unconvinced of the defendant's guilt."
Abundance
Ambiguity
Clarity
Scarcity
Correct answer: Ambiguity
Correct answer: Ambiguity. Explanation: "Ambiguity" refers to the quality of being open to multiple interpretations or lacking clarity. This aligns with a jury's uncertainty despite the presence of evidence.
What does the term "paradox" refer to?
A seemingly contradictory statement
A straightforward assertion
A clearly defined concept
A repetitive argument
Correct answer: A seemingly contradictory statement
Correct answer: A seemingly contradictory statement. Explanation: A "paradox" is a statement or proposition that seems contradictory or opposed to common sense, yet might contain a hidden truth or logic.
Which word is the best antonym for "meticulous"?
Careless
Painstaking
Thorough
Exacting
Correct answer: Careless
Correct answer: Careless. Explanation: "Meticulous" describes someone who pays great attention to detail. The best antonym is "careless," which indicates a lack of careful consideration.
What is the meaning of the idiom "to bark up the wrong tree"?
To pursue the wrong course of action
To focus on an irrelevant issue
To demonstrate enthusiasm
To display aggression
Correct answer: To pursue the wrong course of action
Correct answer: To pursue the wrong course of action. Explanation: The idiom "to bark up the wrong tree" means to pursue a mistaken or incorrect course of action, suggesting that one is focusing on the wrong target or approach.
What does the term "cacophony" mean?
A harsh mixture of sounds
A repetitive melody
A soft rustling noise
A harmonious blend of tones
Correct answer: A harsh mixture of sounds
Correct answer: A harsh mixture of sounds. Explanation: "Cacophony" refers to a harsh, discordant mixture of sounds, often indicating unpleasant noise or a lack of harmony.
What is the best synonym for "circumspect"?
Cautious
Reckless
Indifferent
Spontaneous
Correct answer: Cautious
Correct answer: Cautious. Explanation: "Circumspect" means careful or cautious, particularly when considering potential risks or consequences. Among the given options, "cautious" is the best synonym.
What is the best synonym for the word "ubiquitous"?
Omnipresent
Rare
Scarce
Selective
Correct answer: Omnipresent
Correct answer: Omnipresent. Explanation: "Ubiquitous" refers to something that is present everywhere at the same time. The closest synonym among the given options is "omnipresent."
Which phrase best completes the following sentence? "The business executive was known for his __________ attitude, often disregarding the feelings of his employees."
Callous
Benevolent
Amiable
Altruistic
Correct answer: Callous
Correct answer: Callous. Explanation: "Callous" indicates a lack of empathy or concern for others, which best fits the context of the executive's attitude towards his employees.
Which of the following phrases represents a paradox?
The only constant is change
Out of sight, out of mind
Birds of a feather flock together
No pain, no gain
Correct answer: The only constant is change
Correct answer: The only constant is change. Explanation: A paradox is a statement that appears contradictory but might contain a deeper truth. "The only constant is change" is paradoxical because it implies that the only thing that doesn't change is change itself.
Which word best completes the following sentence? "The scientist's __________ was crucial in solving the complex problem."
Insight
Obfuscation
Negligence
Confusion
Correct answer: Insight
Correct answer: Insight. Explanation: "Insight" refers to the ability to understand or perceive clearly, which is crucial in solving complex problems. It is the most appropriate word in this context.
What is the best synonym for the word "empathy"?
Compassion
Apathy
Indifference
Hostility
Correct answer: Compassion
Correct answer: Compassion. Explanation: "Empathy" means the ability to understand and share the feelings of others. The closest synonym among the options is "compassion," which indicates a caring and understanding attitude.
Which of the following words is an antonym for "lucid"?
Opaque
Clear
Transparent
Obvious
Correct answer: Opaque
Correct answer: Opaque. Explanation: "Lucid" means clear and easy to understand. The best antonym is "opaque," which refers to something that is not transparent or is difficult to understand.
What does the idiom "to bury the hatchet" mean?
To make peace
To start a conflict
To conceal evidence
To hide the truth
Correct answer: To make peace
Correct answer: To make peace. Explanation: "To bury the hatchet" means to reconcile or make peace, often after a period of conflict or disagreement.
Which phrase best completes the following sentence? "The politician's __________ responses left many in the audience questioning his intentions."
Ambiguous
Transparent
Honest
Direct
Correct answer: Ambiguous
Correct answer: Ambiguous. Explanation: "Ambiguous" refers to something that is unclear or open to multiple interpretations. It best fits the context of responses that left people uncertain about the politician's intentions.
What is the best antonym for the word "sparse"?
Dense
Scattered
Few
Thin
Correct answer: Dense
Correct answer: Dense. Explanation: "Sparse" refers to something thinly scattered or not dense. The best antonym is "dense," indicating a high concentration or thick distribution.
Which of the following phrases represents a pleonasm?
Repeat again
Bitter disappointment
Loud noise
Tall tree
Correct answer: Repeat again
Correct answer: Repeat again. Explanation: A pleonasm is the use of more words than necessary to express an idea, leading to redundancy. "Repeat again" is a pleonasm because "repeat" already implies doing something again.
What is the meaning of the idiom "to spill the beans"?
To reveal a secret
To cause chaos
To make a mess
To be careless
Correct answer: To reveal a secret
Correct answer: To reveal a secret. Explanation: The idiom "to spill the beans" means to disclose a secret or reveal confidential information, often unintentionally.
Which of the following words is the best antonym for "perturb"?
Calm
Agitate
Upset
Disturb
Correct answer: Calm
Correct answer: Calm. Explanation: "Perturb" means to disturb or unsettle. The best antonym is "calm," indicating a state of tranquility or peace.
Which word best completes this sentence? "The manager's __________ behavior made the employees uncomfortable and reluctant to approach him."
Eccentric
Polite
Affable
Pleasant
Correct answer: Eccentric
Correct answer: Eccentric. Explanation: "Eccentric" refers to someone with unconventional or odd behavior, which can make others uncomfortable. This is the most appropriate word given the context.
Which phrase best completes the following sentence? "The __________ comment was not well-received, as it was inappropriate for the occasion."
Flippant
Thoughtful
Insightful
Respectful
Correct answer: Flippant
Correct answer: Flippant. Explanation: "Flippant" refers to a remark or attitude that is disrespectful or not taken seriously, which aligns with a comment that is inappropriate for the occasion.
What is the best synonym for the word "acerbic"?
Harsh
Sweet
Gentle
Bland
Correct answer: Harsh
Correct answer: Harsh. Explanation: "Acerbic" refers to a style of speaking that is sharp or bitter. The best synonym among the given options is "harsh."
Which word best completes this sentence? "The debate team's __________ argument won them the championship."
Compelling
Incoherent
Contradictory
Ambiguous
Correct answer: Compelling
Correct answer: Compelling. Explanation: "Compelling" refers to an argument that is persuasive and convincing, which would likely lead to success in a debate competition.
What does the idiom "to have an axe to grind" mean?
To have a personal agenda
To be quick to anger
To be ready for battle
To be overworked
Correct answer: To have a personal agenda
Correct answer: To have a personal agenda. Explanation: The idiom "to have an axe to grind" means to have a personal motive or agenda, often hidden from others.
Which phrase best completes the following sentence? "The student was so __________ that he quickly became the teacher's favorite."
Diligent
Rebellious
Indifferent
Careless
Correct answer: Diligent
Correct answer: Diligent. Explanation: "Diligent" refers to someone who is hardworking and careful in their tasks, traits that would likely lead to becoming a teacher's favorite.
What is the best synonym for the word "subversive"?
Rebellious
Conforming
Cooperative
Supportive
Correct answer: Rebellious
Correct answer: Rebellious. Explanation: "Subversive" refers to something that seeks to undermine or overthrow established norms or authority. "Rebellious" aligns most closely with this definition.
Which word best completes this sentence? "The author's __________ style captivated readers, making it hard for them to put the book down."
Compelling
Uninspiring
Tedious
Monotonous
Correct answer: Compelling
Correct answer: Compelling. Explanation: "Compelling" means that something is interesting and captivating. This is the most appropriate word given the context of engaging readers.
Which sentence uses correct subject-verb agreement?
The books on the shelf is dusty.
The dogs in the yard barks loudly.
The team practices every day.
The children was playing in the park.
Correct answer: The team practices every day.
Correct answer: The team practices every day. Explanation: "The team" is a collective noun, treated as singular, requiring the verb "practices." The other options have subject-verb agreement errors.
Which sentence has a misplaced modifier?
While walking in the park, the bench was occupied.
She quickly ran to catch the bus.
The cat chased the mouse into the garden.
John completed his homework before dinner.
Correct answer: While walking in the park, the bench was occupied.
Correct answer: While walking in the park, the bench was occupied. Explanation: The modifier "While walking in the park" appears to modify the bench, but it should modify the person walking. This causes confusion about who is walking.
Which sentence contains a dangling participle?
The dog barked as it ran down the street.
Running to catch the bus, her shoe fell off.
The teacher graded the papers quickly.
After the party, the kitchen was a mess.
Correct answer: Running to catch the bus, her shoe fell off.
Correct answer: Running to catch the bus, her shoe fell off. Explanation: The participle "Running to catch the bus" does not clearly have a subject in the sentence, suggesting that the shoe was running. This creates a dangling participle.
Which sentence uses correct punctuation for a list of items?
The grocery list included apples, oranges and bananas.
The grocery list included: apples, oranges, and bananas.
The grocery list included apples; oranges; and bananas.
The grocery list included apples, oranges, and bananas.
Correct answer: The grocery list included apples, oranges, and bananas.
Correct answer: The grocery list included apples, oranges, and bananas. Explanation: This option correctly uses the Oxford comma, separating each item with a comma, ensuring clarity in the list.
Which sentence correctly uses a semicolon?
She has always loved music, she plays the piano beautifully.
She has always loved music; she plays the piano beautifully.
She has always loved music and; she plays the piano beautifully.
She has always loved music, so; she plays the piano beautifully.
Correct answer: She has always loved music; she plays the piano beautifully.
Correct answer: She has always loved music; she plays the piano beautifully. Explanation: A semicolon is used to join independent clauses without a conjunction. This option correctly separates two related independent clauses with a semicolon.
Which sentence contains an incorrect use of the past perfect tense?
By the time the guests arrived, he had cooked dinner.
She had left the party before I got there.
He went to the store before he had finished his homework.
They had finished the movie when the power went out.
Correct answer: He went to the store before he had finished his homework.
Correct answer: He went to the store before he had finished his homework. Explanation: The past perfect tense ("had finished") is used to describe an action completed before another past action. In this option, "he went to the store" should not have a past perfect tense preceding it.
Which sentence demonstrates correct parallel structure?
She likes reading, to swim, and hiking.
She likes reading, swimming, and hiking.
She likes to read, swimming, and to hike.
She likes reading, swimming, and to hike.
Correct answer: She likes reading, swimming, and hiking.
Correct answer: She likes reading, swimming, and hiking. Explanation: This option maintains parallelism by using consistent gerunds for all items in the list. The other options mix gerunds and infinitives, disrupting the parallel structure.
Which sentence demonstrates correct use of a colon?
He had three favorite foods: pizza, burgers, and pasta.
He had three favorite foods: pizza: burgers, and pasta.
He had: three favorite foods: pizza, burgers, and pasta.
He had three favorite foods; pizza, burgers, and pasta.
Correct answer: He had three favorite foods: pizza, burgers, and pasta.
Correct answer: He had three favorite foods: pizza, burgers, and pasta. Explanation: A colon is used to introduce a list or explanation after a complete sentence. This option uses the colon correctly to list favorite foods.
Which sentence uses proper pronoun-antecedent agreement?
When a person is tired, they should rest.
Each student must submit their assignment.
Every child is bringing their own toy.
When a person is tired, he or she should rest.
Correct answer: When a person is tired, he or she should rest.
Correct answer: When a person is tired, he or she should rest. Explanation: Pronouns should agree with their antecedents in number and gender. Using "he or she" to refer to "a person" is the correct form, avoiding confusion and maintaining agreement.
Which sentence has correct use of the past participle?
He run across the field.
He has run across the field.
He did run across the field.
He has ran across the field.
Correct answer: He has run across the field.
Correct answer: He has run across the field. Explanation: The past participle of "run" is "run," while "ran" is the simple past tense. This option correctly uses "run" with the present perfect tense, forming the correct structure.
Which sentence uses correct capitalization?
He is studying french history in school.
She loves to eat italian food.
They are visiting the British Museum.
The Mayor is giving a speech today.
Correct answer: They are visiting the British Museum.
Correct answer: They are visiting the British Museum. Explanation: Proper nouns, such as museum names and nationalities, require capitalization. "British Museum" is capitalized correctly, while "french" and "italian" should be capitalized, and "Mayor" does not need capitalization in this context.
Which sentence demonstrates correct use of quotation marks?
He said "Good morning, everyone".
He said, "Good morning, everyone."
He said, "Good morning, everyone".
He said "Good morning, everyone."
Correct answer: He said, "Good morning, everyone."
Correct answer: He said, "Good morning, everyone.". Explanation: Quotation marks should enclose quoted text, and punctuation goes inside the quotation marks in American English. This option uses correct placement of commas and periods with quotation marks.
Which sentence has correct verb tense consistency?
She was studying when the phone rings.
She studied while the phone was ringing.
She was studying while the phone was ringing.
She studies while the phone was ringing.
Correct answer: She was studying while the phone was ringing.
Correct answer: She was studying while the phone was ringing. Explanation: Consistency in verb tense is crucial for clarity. This option uses past continuous tense for both actions, maintaining consistent verb tense.
Which sentence has correct use of a possessive pronoun?
She borrowed it's book from the library.
She borrowed its book from the library.
She borrowed their's book from the library.
She borrowed its' book from the library.
Correct answer: She borrowed its book from the library.
Correct answer: She borrowed its book from the library. Explanation: The possessive pronoun "its" does not require an apostrophe. This option correctly uses the possessive form without any unnecessary punctuation.
Which sentence demonstrates correct use of double negatives?
She didn't have no money.
She had no money.
She couldn't find no money nowhere.
She couldn't find no money.
Correct answer: She had no money.
Correct answer: She had no money. Explanation: Double negatives can create confusion and should be avoided. This option uses a single negative, providing clarity without redundancy.
Which sentence has correct use of a conjunction?
Although she was tired, but she kept working.
Although she was tired, she kept working.
Even if she was tired, but she kept working.
She kept working, although she was tired.
Correct answer: Although she was tired, she kept working.
Correct answer: Although she was tired, she kept working. Explanation: Conjunctions like "although" do not require an additional coordinating conjunction (like "but"). This option correctly uses "although" without redundancy.
Which sentence has correct use of an appositive?
My sister, who is an engineer, is visiting.
My sister who is an engineer, is visiting.
My sister, who is an engineer is visiting.
My sister who is an engineer is visiting.
Correct answer: My sister, who is an engineer, is visiting.
Correct answer: My sister, who is an engineer, is visiting. Explanation: An appositive is a noun or noun phrase that renames or clarifies another noun. It is often set off with commas. This option correctly uses commas to separate the appositive phrase from the rest of the sentence.
Which sentence demonstrates correct use of an infinitive?
She tried her best to to finish the race.
She tried her best to finish the race.
She tries her best to finishing the race.
She tries her best to finish the race.
Correct answer: She tried her best to finish the race.
Correct answer: She tried her best to finish the race. Explanation: An infinitive consists of "to" plus a verb. This option uses the correct form of the infinitive ("to finish"), without redundancy or incorrect structure.
Which sentence contains correct use of a reflexive pronoun?
He completed the task hisself.
She gave the gift to herself.
They helped ourselves with the project.
You should do it yourself.
Correct answer: You should do it yourself.
Correct answer: You should do it yourself. Explanation: Reflexive pronouns refer back to the subject. This option uses the correct reflexive pronoun "yourself," while other options contain incorrect reflexive forms like "hisself."
Which sentence demonstrates correct use of an indirect object?
He gave it to the store.
She gave me the book.
They bought him a cake.
The teacher gave to the student a prize.
Correct answer: They bought him a cake.
Correct answer: They bought him a cake. Explanation: An indirect object receives the action indirectly, usually between the verb and the direct object. This option uses the correct word order, placing "him" before the direct object "cake."
Which sentence contains a misplaced modifier?
The painting, covered with dust, was old.
The woman stood at the window, looking into the distance.
The man saw a car on his way to work.
The cat climbed up the tree that was in the garden.
Correct answer: The man saw a car on his way to work.
Correct answer: The man saw a car on his way to work. Explanation: The modifier "on his way to work" seems to describe the car, but it's intended to describe the man, leading to ambiguity. This is an example of a misplaced modifier.
Which sentence contains correct subject-verb agreement?
The group of students are waiting outside.
The pack of wolves was spotted in the forest.
The team of researchers were hard at work.
The flock of birds were flying south.
Correct answer: The pack of wolves was spotted in the forest.
Correct answer: The pack of wolves was spotted in the forest. Explanation: Collective nouns like "pack" and "flock" are treated as singular in American English. This option correctly uses the singular verb "was" with the singular subject.
Which sentence has the correct use of a comma in a complex sentence?
If you want to go, then let's go now.
If you want to go then, let's go now.
If you want to go, let's go now.
If you want, to go let's go now.
Correct answer: If you want to go, let's go now.
Correct answer: If you want to go, let's go now. Explanation: A comma is used to separate a dependent clause from an independent clause. This option correctly uses a comma after the dependent clause.
Which sentence uses correct capitalization for a title?
He wrote "The great Gatsby."
She loved the book "Pride and prejudice."
They watched the movie "Gone with the wind."
He read "To Kill a Mockingbird."
Correct answer: He read "To Kill a Mockingbird."
Correct answer: He read "To Kill a Mockingbird.". Explanation: Title capitalization usually involves capitalizing the first and last words, as well as major words in between. This option uses correct capitalization for a book title.
Which sentence has correct use of a gerund?
She enjoys cooking dinner.
He likes to swimming in the pool.
They are interesting in traveling.
She prefers to eat than cooking.
Correct answer: She enjoys cooking dinner.
Correct answer: She enjoys cooking dinner. Explanation: Gerunds are verbs ending in "-ing" that function as nouns. This option correctly uses "cooking" as a gerund after the verb "enjoys."
Which sentence demonstrates correct verb tense consistency?
He writes an email, and then he sent it.
He wrote an email, and then he sends it.
He writes an email, and then he sends it.
He writes an email, and then he send it.
Correct answer: He writes an email, and then he sends it.
Correct answer: He writes an email, and then he sends it. Explanation: Maintaining consistent verb tense is crucial for clarity. This option uses the same present tense for both actions, keeping the tense consistent.
Which sentence contains a proper parallel structure?
She enjoys dancing, cooking, and to read.
He likes to run, to swim, and biking.
They love hiking, camping, and fishing.
She prefers to read, to write, and painting.
Correct answer: They love hiking, camping, and fishing.
Correct answer: They love hiking, camping, and fishing. Explanation: Parallel structure requires similar grammatical forms in a list or series. This option uses consistent gerunds for each activity, maintaining proper parallel structure.
Which sentence has the correct use of a relative pronoun?
The person whom I saw yesterday was my neighbor.
The book who I borrowed was interesting.
The friend whose car I borrowed is on vacation.
The building which is tall is new.
Correct answer: The friend whose car I borrowed is on vacation.
Correct answer: The friend whose car I borrowed is on vacation. Explanation: Relative pronouns connect clauses and describe antecedents. "Whose" is the correct relative pronoun to indicate possession. This option correctly uses it to connect two clauses.
Which sentence has correct use of a semicolon?
She wrote a letter; and he replied.
She wrote a letter; he replied.
She wrote a letter, he replied.
She wrote a letter: he replied.
Correct answer: She wrote a letter; he replied.
Correct answer: She wrote a letter; he replied. Explanation: A semicolon is used to separate two related independent clauses without a conjunction. This option uses the semicolon correctly to connect two closely related sentences.
Which sentence contains correct use of an adverb?
She sings beautiful.
He runs slow.
They drive quickly.
She dances graceful.
Correct answer: They drive quickly.
Correct answer: They drive quickly. Explanation: Adverbs modify verbs and often end in "-ly." This option uses the correct adverb form "quickly," while other options use adjectives incorrectly to modify verbs.
Which sentence has correct use of a coordinating conjunction?
She finished her homework, yet went to bed late.
She finished her homework, and she went to bed late.
She finished her homework but went to bed late.
She finished her homework, then she went to bed late.
Correct answer: She finished her homework but went to bed late.
Correct answer: She finished her homework but went to bed late. Explanation: Coordinating conjunctions link clauses or words in a sentence. This option correctly uses "but" without additional punctuation to join two related clauses.
Which sentence demonstrates correct use of a subordinate conjunction?
She couldn't go out because; it was raining.
She couldn't go out, because it was raining.
She couldn't go out because it was raining.
She couldn't go out because: it was raining.
Correct answer: She couldn't go out because it was raining.
Correct answer: She couldn't go out because it was raining. Explanation: Subordinate conjunctions connect dependent and independent clauses. This option correctly uses "because" without extra punctuation to explain why she couldn't go out.
Which sentence demonstrates correct use of a possessive noun?
The cat's toy was missing.
The cat's toys' was missing.
The cats toy was missing.
The cats' toy was missing.
Correct answer: The cat's toy was missing.
Correct answer: The cat's toy was missing. Explanation: Possessive nouns indicate ownership with an apostrophe and usually an "-s." This option uses the correct possessive form to indicate the toy belonging to the cat.
Which sentence contains correct capitalization for a holiday?
They celebrated thanksgiving together.
The Fourth of july is a national holiday.
They enjoyed celebrating Christmas.
They had a party for new Year's Eve.
Correct answer: They enjoyed celebrating Christmas.
Correct answer: They enjoyed celebrating Christmas. Explanation: Holidays require capitalization for proper names. This option uses correct capitalization for "Christmas," while other options have incorrect capitalization for holidays.
Which sentence uses correct use of a preposition?
The cat is hiding under the table.
The cat is hiding beneath the table.
The cat is hiding on the table.
The cat is hiding inside of the table.
Correct answer: The cat is hiding under the table.
Correct answer: The cat is hiding under the table. Explanation: Prepositions indicate relationships in space or time. This option uses the correct preposition "under" to describe where the cat is hiding. Other prepositions might indicate different meanings or incorrect usage.
Which sentence demonstrates correct use of a conjunction in a compound sentence?
She wrote the book and it became a best-seller.
She wrote the book, and it became a best-seller.
She wrote the book, it became a best-seller.
She wrote the book but it became a best-seller.
Correct answer: She wrote the book, and it became a best-seller.
Correct answer: She wrote the book, and it became a best-seller. Explanation: A compound sentence requires a conjunction to connect two independent clauses. This option uses the correct conjunction and a comma to separate the two clauses.
A square has a perimeter of 64 units. What is the area of the square?
256 square units
128 square units
64 square units
32 square units
Correct answer: 256 square units
Correct answer: 256 square units. Explanation: The perimeter of a square is four times the length of a side. If the perimeter is 64 units, then each side is 16 units. The area is then 256 square units.
If x2−10x+25=y, which value of x gives the minimum value of y?
x=10
x=0
x=5
x=−5
Correct answer: x=5
Correct answer: x=5. Explanation: The given expression can be rewritten as (x−5)2, which has a minimum value of zero when x=5.
A square has a diagonal length of 10 units. What is the length of its side?
52 units
10 units
102 units
510 units
Correct answer: 52 units
Correct answer: 52 units. Explanation: In a square, the diagonal's length is given by s2, where s is the side. If the diagonal is 10 units, the side length is 10/2=52.
A sphere has a radius of 6 units. What is the volume of the sphere?
904 cubic units
912 cubic units
913 cubic units
905 cubic units
Correct answer: 904 cubic units
Correct answer: 904 cubic units. Explanation: The volume of a sphere is given by V=34πr3. With r=6, the approximate volume is 904 cubic units.
Two trains are traveling towards each other at 60 km/h and 80 km/h, respectively. If they are initially 280 km apart, how long will it take for them to meet?
2 hours
1 hour
3 hours
2.5 hours
Correct answer: 2 hours
Correct answer: 2 hours. Explanation: The combined speed of the trains is 140 km/h. The time to meet is given by 280/140=2 hours.
Given the equation y=3x−4, what is the x-intercept?
x=4
x=1.33
x=−1.33
x=−4
Correct answer: x=1.33
Correct answer: x=1.33. Explanation: The x-intercept occurs when y=0. Plugging into the equation, 0=3x−4. Solving for x, the result is x=4/3=1.33.
If f(x)=3x+2, what is f(1)?
x=3
x=5
x=1
None of these
Correct answer: x=5
Correct answer: x=5. Explanation: Substitute x=1 into f(x)=3x+2. This yields 3×1+2=5.
A right triangle has a base of 9 units and a height of 12 units. What is the length of the hypotenuse?
21 units
15 units
13 units
14 units
Correct answer: 15 units
Correct answer: 15 units. Explanation: Using the Pythagorean theorem, c=a2+b2. The hypotenuse is 92+122, which equals 81+144=225=15.
The exterior angles of a regular octagon are all equal. What is the sum of these exterior angles?
360 degrees
720 degrees
180 degrees
1080 degrees
Correct answer: 360 degrees
Correct answer: 360 degrees. Explanation: The sum of exterior angles for any polygon is 360 degrees, regardless of the number of sides.
A triangle has sides measuring 9 units, 12 units, and 15 units. What type of triangle is it?
Right triangle
Equilateral triangle
Isosceles triangle
Acute triangle
Correct answer: Right triangle
Correct answer: Right triangle. Explanation: Using the Pythagorean theorem, if the sum of the squares of the shorter sides equals the square of the longest side, the triangle is a right triangle. Here, 92+122=152, confirming a right triangle.
The diameter of a circle is 14 units. What is the area of the circle?
153.94 square units
100 square units
124.56 square units
196 square units
Correct answer: 153.94 square units
Correct answer: 153.94 square units. Explanation: The area of a circle is given by πr2. With a diameter of 14 units, the radius is 7 units. The area is π×72=153.94 square units.
What is the measure of an interior angle in a regular hexagon?
120 degrees
140 degrees
130 degrees
110 degrees
Correct answer: 120 degrees
Correct answer: 120 degrees. Explanation: The sum of all interior angles for a polygon with n sides is (n−2)×180. For a hexagon, with n=6, the sum of the interior angles is 720 degrees. The measure of each angle is 720/6=120.
A square has an area of 64 square units. What is the length of each side of the square?
8 units
6 units
12 units
7 units
Correct answer: 8 units
Correct answer: 8 units. Explanation: The area of a square is s2. To find the length of a side, we can take area. Here, 64=8.
A circle has a circumference of 31.42 units. What is its diameter?
10 units
12 units
9 units
8 units
Correct answer: 10 units
Correct answer: 10 units. Explanation: The circumference of a circle is given by 2πr. The diameter can be found by dividing the circumference by π. Here, 31.42÷π≈10.
A cylinder has a radius of 4 units and a height of 10 units. What is its volume?
502.65 cubic units
251.32 cubic units
402.12 cubic units
355.5 cubic units
Correct answer: 502.65 cubic units
Correct answer: 502.65 cubic units. Explanation: The volume of a cylinder is given by V=πr2h. With r=4 and h=10, the volume is π×(42)×10≈502.65 cubic units.
Two angles are supplementary. One angle measures 110 degrees. What is the measure of the other angle?
70 degrees
90 degrees
80 degrees
100 degrees
Correct answer: 70 degrees
Correct answer: 70 degrees. Explanation: Supplementary angles add up to 180 degrees. Given one angle is 110 degrees, the other angle is 180−110=70.
What is the length of a diagonal of a square with a side of 5 units?
7.07 units
6 units
5.5 units
8.07 units
Correct answer: 7.07 units
Correct answer: 7.07 units. Explanation: The diagonal of a square with side s is s×2. With s=5, the length of the diagonal is 5×2≈7.07.
Read the following excerpt from a work of moral philosophy, then answer the question.
"The man who governs himself well in small matters will not be undone by great ones, for the habit of restraint, once fixed in the soul, does not wait to be summoned. He who indulges the lesser appetite teaches the greater to expect indulgence, and so the door once opened is not easily shut."
Which statement best expresses the main idea of the passage?
Great misfortunes are unavoidable regardless of how a person behaves in daily life
The soul is incapable of forming habits without external commands
Small acts of self-discipline shape the character that determines how a person meets larger trials
Appetites should be satisfied promptly so they do not grow stronger over time
Correct answer: Small acts of self-discipline shape the character that determines how a person meets larger trials
The main idea is that small acts of self-discipline shape the character that determines how a person meets larger trials. The passage argues that the habit of restraint formed in small matters protects against great ones, and that indulging small appetites trains larger ones to expect indulgence. To identify the main idea of a passage, find the claim every sentence supports rather than a single vivid detail; here both sentences serve the point about habit governing larger conduct.
Read the following excerpt, then answer the question.
"Because the river had carved the gorge over centuries, the city that rose upon its banks found ready defense in the steep walls, and from that natural protection grew a confidence that made its citizens slow to build any rampart of their own."
According to the passage, what was the effect of the gorge's natural walls on the city's inhabitants?
It made the citizens reluctant to construct their own fortifications
It compelled neighboring cities to build ramparts in response
It forced the citizens to abandon the riverbanks for higher ground
It caused the river to carve the gorge more rapidly
Correct answer: It made the citizens reluctant to construct their own fortifications
The effect was that the citizens became reluctant to construct their own fortifications. The passage traces a chain: the river carved the gorge, the steep walls gave defense, that defense bred confidence, and the confidence made citizens slow to build a rampart. Recognizing cause and effect in reading means following such a chain to its final stated consequence rather than stopping at an intermediate link like the river's carving.
Read the following excerpt from a letter by a statesman, then answer the question.
"I write not to flatter you with promises that the road ahead is smooth, but to assure you that it leads somewhere worth the walking. Better the honest stone that bruises the foot than the painted path that conceals the pit."
What is the author's primary purpose in writing this passage?
To describe the physical condition of a particular road
To prepare the reader for hardship while affirming that the goal is worthwhile
To persuade the reader that the journey will be free of difficulty
To warn the reader against beginning the journey at all
Correct answer: To prepare the reader for hardship while affirming that the goal is worthwhile
The author's primary purpose is to prepare the reader for hardship while affirming that the goal is worthwhile. The writer explicitly declines to promise a smooth road yet insists it leads somewhere worth reaching, and the contrast of honest stone versus painted pit reinforces a candid encouragement. Determining authorial intent means asking why the author wrote the passage, not merely what it describes; the literal road is a vehicle for the larger encouragement.
Read the following excerpt, then answer the question.
"The young scholar arrived brimming with certainties, but a single afternoon with the old librarian left him chastened. He had come to display his learning; he departed having discovered how little of the vast hall he had so much as glimpsed."
It can be inferred from the passage that the scholar's encounter with the librarian primarily produced in him a sense of
Pride in the learning he had displayed
Resentment toward the old librarian
Humility about the limits of his own knowledge
Indifference to the contents of the library
Correct answer: Humility about the limits of his own knowledge
It can be inferred that the encounter produced humility about the limits of his own knowledge. The passage says he arrived brimming with certainties and intending to display his learning, but departed chastened and aware of how little he had glimpsed. Logical inference in reading means drawing a conclusion the text supports without stating outright; the shift from certainty to feeling chastened points to newfound humility, not anger or indifference.
Read the following excerpt from a work of political philosophy, then answer the question.
"A law that the people neither understand nor consent to is no better than a chain forged in the dark, for it binds without instructing and compels without persuading."
The author uses the phrase "a chain forged in the dark" chiefly to convey that such a law is
Newly written and untested by experience
Beautifully crafted by skilled and patient artisans
Oppressive and imposed without the people's knowledge or consent
Too weak and brittle to restrain anyone for long
Correct answer: Oppressive and imposed without the people's knowledge or consent
The phrase conveys that such a law is oppressive and imposed without the people's knowledge or consent. Analyzing figurative language means asking what the image stands for: a chain suggests restraint and bondage, while forged in the dark suggests it was made in secret, beyond the people's sight or consent. The surrounding clause, that it binds without instructing, confirms the metaphor targets law made without understanding or consent.
Read the following excerpt, then answer the question.
"He spoke of moderation, yet his table groaned beneath every delicacy the season could furnish; he praised the simple life from a chair gilded at the arms."
The author's tone toward the man described is best characterized as
Grief-stricken
Neutral and impartial
Reverent
Ironic
Correct answer: Ironic
The tone is best characterized as ironic. The author juxtaposes the man's praise of moderation and the simple life against his groaning table and gilded chair, exposing a gap between what he says and how he lives. Detecting tone requires weighing the author's attitude conveyed through such contrasts, and the deliberate mismatch signals irony rather than admiration or neutral reporting.
Read the following excerpt from a theological reflection, then answer the question.
"We are like travelers who, having lost the sun, mistake the brightest of the lamps for the dawn. The lamp is not nothing; it keeps us from the ditch. But woe to him who, content with its glow, ceases to long for the morning."
Which statement best captures the central claim of the passage?
Lesser goods are useful but become dangerous when they replace the longing for the highest good
Travelers should extinguish their lamps and wait in darkness for the dawn
The dawn and the lamp are indistinguishable to anyone who has lost the sun
Artificial light is always preferable to natural light for the careful traveler
Correct answer: Lesser goods are useful but become dangerous when they replace the longing for the highest good
The central claim is that lesser goods are useful but become dangerous when they replace the longing for the highest good. The passage grants that the lamp keeps the traveler from the ditch yet warns against being content with its glow and abandoning the longing for morning. The main idea unifies both the concession and the warning, so a reading that keeps only one half misses the passage's point.
Read the following excerpt, then answer the question.
"The reader will note that I have nowhere named the prince whose folly I describe, and this silence is deliberate. I would have the lesson outlive the man, and a lesson tied too closely to one name is buried with him."
Why does the author choose not to name the prince?
Because the author does not actually know the prince's name
So that the moral lesson may apply broadly and endure beyond a single person
Because the prince's name had been forbidden by law
To protect the prince from any embarrassment or scandal
Correct answer: So that the moral lesson may apply broadly and endure beyond a single person
The author withholds the name so that the moral lesson may apply broadly and endure beyond a single person. The passage states directly that the silence is deliberate and that a lesson tied too closely to one name is buried with him. Answering a why question about authorial intent means using the author's own stated reasoning, which here is preservation and universality, not ignorance or legal prohibition.
In the following sentence, the word "temper" is used in a particular sense.
"The wise ruler must temper justice with mercy, lest the strict letter of the law work a cruelty its framers never intended."
Using the context, the word "temper" most nearly means
To lose one's composure in anger
To test the strength of a material
To heat and harden metal
To moderate or soften
Correct answer: To moderate or soften
As used here, temper most nearly means to moderate or soften. Using context clues, the phrase justice with mercy and the warning against cruelty show that temper describes blending one quality to ease another, not heating metal or losing one's temper. Surrounding words steer a familiar term toward its precise sense, so the contrast with cruelty signals moderation.
Read the following excerpt, then answer the question.
"The orator did not merely state that the republic was in danger; he asked, again and again, whether his listeners would wait for the flames to reach their own doors before they stirred. He named the dead by name and let their silence accuse the living."
Which rhetorical device is most clearly described as part of the orator's method?
Rhetorical questioning to provoke the audience to act
Understatement to minimize the threat to the republic
Citing written statistics to establish the scale of danger
Hyperbole that the audience was expected to dismiss
Correct answer: Rhetorical questioning to provoke the audience to act
The device most clearly described is rhetorical questioning to provoke the audience to act. Rhetorical devices are techniques a speaker or writer uses to persuade or move an audience, and the passage shows the orator repeatedly asking whether listeners would wait for the flames to reach their doors. That question is meant to spur action rather than to gather information, which is the hallmark of a rhetorical question.
Choose the pair of words that best completes the analogy.
DROUGHT is to RAIN as FAMINE is to ____.
Harvest
Plague
Hunger
Winter
Correct answer: Harvest
The answer is harvest. The analogy turns on a lack and the thing whose absence causes it: a drought is the absence of rain, so a famine is the absence of a harvest, the food supply. An analogy question asks you to find the same relationship between two new terms, so identifying the first pair's logic as scarcity of the needed thing leads to harvest rather than to a mere associated term such as hunger or plague.
Choose the pair of words that best completes the analogy.
LAVISH is to FRUGAL as RECKLESS is to ____.
Cautious
Hasty
Bold
Careless
Correct answer: Cautious
The answer is cautious. This is an antonym analogy: lavish, meaning free-spending, is the opposite of frugal, meaning sparing, so reckless, meaning careless of danger, pairs with its opposite, cautious. An antonym analogy example like this is solved by naming the relationship as opposition and choosing the term that opposes reckless, not one that resembles it such as careless or hasty.
Read the following excerpt from a historical profile, then answer the question.
"Though born to wealth, the reformer slept on a plain cot and gave away his inheritance in his thirtieth year. His critics called this theater; his friends saw in it the first proof that his later sacrifices were no sudden conversion but the flowering of a long-rooted conviction."
The friends interpret the reformer's renunciation of his inheritance as
A calculated performance for public approval
A decision he would soon regret and reverse
A sign of his financial mismanagement
Early evidence of a deep and consistent conviction
Correct answer: Early evidence of a deep and consistent conviction
The friends interpret it as early evidence of a deep and consistent conviction. The passage contrasts the critics, who call it theater, with the friends, who see it as the first proof that his later sacrifices were no sudden conversion but a long-rooted conviction. Reading comprehension questions about a stated view require attributing each interpretation to the right party, so the friends' reading is sincerity, not performance.
Read the following excerpt, then answer the question.
"The empire's roads, built to speed its legions to the frontier, in time sped something the generals had not foreseen: ideas, faiths, and rumors traveled the same stones, and the very arteries of conquest became the channels of a quiet transformation no army could halt."
The passage primarily develops which idea about the empire's roads?
The roads were poorly constructed and failed to serve the legions
Generals deliberately designed the roads to spread new faiths
The frontier could be defended only by destroying the roads
A structure built for one purpose produced unintended and far-reaching effects
Correct answer: A structure built for one purpose produced unintended and far-reaching effects
The passage develops the idea that a structure built for one purpose produced unintended and far-reaching effects. It states the roads were built to move legions but ended up carrying ideas, faiths, and rumors the generals had not foreseen. Following the cause-and-effect movement from intended military use to unintended cultural transformation captures the passage's central development.
In the following sentence, determine the meaning of the word from context.
"The diplomat's remarks were so equivocal that each faction left the room convinced he had taken its side, and only later, comparing notes, did they grasp that he had promised nothing at all."
As used here, "equivocal" most nearly means
Brief and abruptly delivered
Hostile and openly insulting
Forceful and unmistakably clear
Open to more than one interpretation
Correct answer: Open to more than one interpretation
As used here, equivocal most nearly means open to more than one interpretation. The context clue is decisive: each faction thought he agreed with it, yet he had promised nothing, which can only happen if his words carried more than one meaning. Using context clues means letting the consequence in the sentence define the word, so the double impression points to ambiguity rather than to clarity or hostility.
Read the following excerpt from a work of natural philosophy, then answer the question.
"The tides do not consult the fisherman's convenience, nor pause for his nets to be mended. He who would live by the sea must learn its rhythm and bend his labor to it, for the patient man harvests where the impatient man drowns."
What can most reasonably be inferred about the author's view of human success at sea?
Success depends on forcing the sea to conform to human schedules
Mending nets is the principal cause of failure for fishermen
The sea offers no reward to anyone, patient or impatient
Success depends on adapting one's actions to forces one cannot control
Correct answer: Success depends on adapting one's actions to forces one cannot control
It can most reasonably be inferred that success depends on adapting one's actions to forces one cannot control. The passage says the tides ignore the fisherman and that he must learn their rhythm and bend his labor to it, contrasting the patient harvester with the impatient drowned man. Logical inference draws the unstated general principle that the supporting details point to, here adaptation to the uncontrollable.
Read the following excerpt, then answer the question.
"Liberty, like a flame, both warms and consumes. Guard it carelessly and it devours the house it was meant to light; tend it wisely and it drives back the cold of every winter."
The comparison of liberty to a flame is an example of which figurative device?
Allusion to a specific historical fire
A simile that highlights liberty's double capacity to benefit and to destroy
Hyperbole that exaggerates a danger the author does not believe in
Litotes that states liberty's value through deliberate understatement
Correct answer: A simile that highlights liberty's double capacity to benefit and to destroy
The comparison is a simile that highlights liberty's double capacity to benefit and to destroy. To analyze figurative language, identify the device and what it reveals: the phrase like a flame is an explicit comparison using like, the hallmark of a simile, and the flame both warms when tended and consumes when neglected, mirroring liberty's power to bless or ruin. Naming it a simile and explaining the warm-versus-consume contrast captures both the form and its meaning.
Choose the pair of words that best completes the analogy.
SCRIBE is to MANUSCRIPT as MASON is to ____.
Quarry
Wall
Chisel
Architect
Correct answer: Wall
The answer is wall. The relationship is maker to thing made: a scribe produces a manuscript, so a mason produces a wall. An analogy question is solved by stating the precise relationship of the first pair and applying it to the second, so the result must be what a mason makes, not a tool the mason uses such as a chisel or a place such as a quarry.
Read the following excerpt from a dialogue, then answer the question.
"'You say the city is just,' said the elder, 'because its laws are obeyed. But tell me, is the slave just who obeys from fear of the lash, or only he who would do the same were the lash removed?'"
The elder's question is intended chiefly to challenge the assumption that
Every city must be governed by written laws
Obedience to law is the same as genuine justice
Fear is the only motive that produces good behavior
Slaves are incapable of acting justly at all
Correct answer: Obedience to law is the same as genuine justice
The elder's question challenges the assumption that obedience to law is the same as genuine justice. By asking whether the slave who obeys from fear is truly just, the elder distinguishes outward compliance from inward virtue. Understanding authorial intent in a dialogue means seeing what belief the speaker means to unsettle, which here is the equation of mere obedience with justice.
Read the following excerpt, then answer the question.
"Snow fell upon the abbey and upon the graves alike, indifferent to the names carved in the stones, settling on saint and stranger with the same white silence."
The description of the snow most strongly emphasizes which idea?
Saints are honored more than strangers even after death
The abbey was poorly maintained and exposed to harsh weather
Snow is harmful to carved stone monuments
Death and nature treat all people equally, without regard to rank or renown
Correct answer: Death and nature treat all people equally, without regard to rank or renown
The description most strongly emphasizes that death and nature treat all people equally, without regard to rank or renown. The snow falls on graves indifferent to the names, settling on saint and stranger with the same silence, an image of impartiality. Analyzing figurative language here means reading the snow's indifference as a symbol of the leveling that erases distinctions of rank.
Read the following excerpt from a memoir, then answer the question.
"I confess that in those years I read for vanity, that I might be thought learned, and not for the love of truth. The books were the same; it was the reader who was corrupt. Only later did I learn to sit before a page as a beggar before a feast."
The author contrasts his earlier and later reading chiefly to show that
The value of reading depends on the reader's motive rather than the books themselves
The books he read in youth were of poor quality
Reading is a corrupt activity that should be abandoned
Learning should always be pursued for the sake of reputation
Correct answer: The value of reading depends on the reader's motive rather than the books themselves
The author draws the contrast chiefly to show that the value of reading depends on the reader's motive rather than the books themselves. He states the books were the same and the reader was corrupt, then describes a later humility, the beggar before a feast. Answering this comprehension question means locating the explicit pivot, it was the reader who was corrupt, which assigns the difference to motive, not to the texts.
Choose the pair of words that best completes the analogy.
WHISPER is to SHOUT as TRICKLE is to ____.
Torrent
Stream
Puddle
Drip
Correct answer: Torrent
The answer is torrent. The relationship is one of degree: a whisper is a faint version of a shout, so a trickle is the faint version of a torrent, a heavy flow. An analogy question rewards naming the relationship as same kind, greater intensity, and choosing the term that scales up, so torrent fits where a mere synonym like stream or a lesser term like drip would not match the intensity jump.
Read the following excerpt, then answer the question.
"The general's caution, praised in the early campaigns as prudence, hardened over the long siege into a paralysis that lost him the very advantage his care had won. The same trait that built the position surrendered it."
Which relationship does the passage chiefly illustrate?
A single quality producing opposite results as circumstances change
A cause that has no discernible effect on the campaign
An effect that occurs without any preceding cause
Two different generals making contradictory decisions
Correct answer: A single quality producing opposite results as circumstances change
The passage chiefly illustrates a single quality producing opposite results as circumstances change. It says the general's caution was first an advantage-winning prudence and later a position-losing paralysis, the same trait that built the position surrendered it. Tracing cause and effect across the passage shows one cause yielding contrary outcomes over time rather than two actors or an effect without a cause.
In the following sentence, determine the meaning of the word from its context.
"Far from being prolix, the philosopher's final treatise was so spare that students complained whole arguments had been compressed into a single sentence."
As used here, "prolix" most nearly means
Carelessly disorganized
Brief and economical
Wordy or long-winded
Densely difficult to follow
Correct answer: Wordy or long-winded
As used here, prolix most nearly means wordy or long-winded. The phrase far from being signals a contrast with what follows, and the treatise is described as spare and compressed, so prolix must mean its opposite, namely excessively wordy. Using context clues includes watching for contrast signals like far from, which define a word by what it is being denied.
Read the following excerpt from a sermon, then answer the question.
"What profit is the lighthouse if the keeper, dazzled by its beam, forgets the ships it was raised to save? Tend the light, yes; but never mistake the tending for the saving."
The speaker's primary purpose is to warn against
Trusting a single light to guide many ships at once
Neglecting the daily maintenance of important equipment
Building lighthouses in places too far from the ships
Confusing a means with the end it was meant to serve
Correct answer: Confusing a means with the end it was meant to serve
The speaker's primary purpose is to warn against confusing a means with the end it was meant to serve. The lighthouse and its tending stand for some practice, and the keeper is cautioned not to mistake the tending for the saving, the ships being the true goal. Identifying authorial intent here means reading past the literal lighthouse to the speaker's caution that the instrument must not eclipse its purpose.
Read the following excerpt, then answer the question.
"It would be untrue to say the colony prospered. It would be equally untrue to say it failed. It clung, season upon season, to the narrow ledge between the two, neither rising nor wholly falling."
Which rhetorical device does the author most clearly employ in these lines?
Direct address to the reader by name
Parallel structure that balances two contrasting statements for emphasis
An appeal to numerical evidence about the colony
A single extended simile comparing the colony to a climber
Correct answer: Parallel structure that balances two contrasting statements for emphasis
The author most clearly employs parallel structure that balances two contrasting statements for emphasis. Rhetorical devices include patterns of arrangement, and here the matched openings, It would be untrue to say it prospered and It would be equally untrue to say it failed, create deliberate balance. The parallel phrasing dramatizes the colony's in-between state more forcefully than a simple statement would.
Read the following excerpt, then answer the question.
"The founders wrote not for their own age alone but for ages they would never see, framing their words wide enough to shelter generations whose troubles they could not imagine."
It can be inferred that the founders intended their writing to be
A private record never meant for later readers
Deliberately vague so as to mean nothing in particular
Enduring and adaptable to the needs of future generations
Binding only upon the people of their own time
Correct answer: Enduring and adaptable to the needs of future generations
It can be inferred that the founders intended their writing to be enduring and adaptable to the needs of future generations. The passage says they wrote for ages they would never see and framed their words wide enough to shelter unimagined generations. Logical inference draws the conclusion the details support, here that the deliberate breadth was meant to remain useful far beyond their own time.
Choose the pair of words that best completes the analogy.
THRIFT is to MISERLINESS as CONFIDENCE is to ____.
Honesty
Timidity
Assurance
Arrogance
Correct answer: Arrogance
The answer is arrogance. The relationship is a virtue taken to harmful excess: thrift in excess becomes miserliness, so confidence in excess becomes arrogance. An analogy question of this kind is solved by naming the moderate trait and its overgrown vice, so the term must be the excess of confidence, not a synonym like assurance or an opposite like timidity.
Read the following excerpt from a work of moral philosophy, then answer the question.
"Anger is a fire that consumes its own vessel before it ever reaches the offender. Often the man who nursed the grievance is the one most scorched, while the object of his wrath sleeps untroubled."
The passage chiefly argues that anger
Is a useful tool for correcting an offender's conduct
Cannot be felt without immediately harming others
Harms the angry person more than its intended target
Is always justified when a real offense has occurred
Correct answer: Harms the angry person more than its intended target
The passage chiefly argues that anger harms the angry person more than its intended target. The fire consumes its own vessel, and the man who nursed the grievance is most scorched while the offender sleeps untroubled. The main idea is carried by both the metaphor and the literal contrast, which together locate the chief harm in the one who holds the anger.
Read the following excerpt, then answer the question.
"The biographer warns us at the outset that he writes as an admirer, that he has chosen his subject because he loves him, and that the reader must therefore weigh his praise as one weighs the word of a friend, not of a judge."
Why does the biographer disclose his admiration for his subject at the very beginning?
To conceal the fact that he dislikes his subject
To alert readers to a possible bias so they can judge his praise accordingly
To persuade readers that his account is perfectly objective
To discourage readers from finishing the work
Correct answer: To alert readers to a possible bias so they can judge his praise accordingly
The biographer discloses his admiration to alert readers to a possible bias so they can judge his praise accordingly. He says the reader must weigh his praise as the word of a friend, not a judge, openly inviting caution. Answering this comprehension question well means using the author's stated reason, transparency about partiality, rather than assuming the opposite motive.
Read the following excerpt, then answer the question.
"The mountain was a patient teacher. It punished haste with the loose stone and rewarded the careful step with the long view; it asked for nothing and gave everything to those who learned to ask rightly."
The author's description of the mountain as a "patient teacher" is an example of
An allusion to a famous historical climber
Hyperbole, exaggerating the mountain's actual height
Personification, attributing human action to a natural feature
An oxymoron joining two contradictory terms
Correct answer: Personification, attributing human action to a natural feature
The description of the mountain as a patient teacher is an example of personification, attributing human action to a natural feature. Analyzing figurative language means naming the device and its effect: the mountain is given human qualities, teaching, punishing, and rewarding, to suggest that climbing it instructs the climber. The personification frames the mountain's natural conditions as deliberate lessons.
Read the following excerpt, then answer the question.
"The historian cannot give us the past entire; he gives us a portrait, and every portrait is also a confession of the painter. In choosing what to set in light and what to leave in shadow, he tells us as much of himself as of his subject."
Which statement best expresses the main idea?
Readers should reject any history written by a known author
A historical account inevitably reflects the perspective and choices of the historian
Historians are capable of recording the past with complete objectivity
Painting is a more reliable record of the past than written history
Correct answer: A historical account inevitably reflects the perspective and choices of the historian
The main idea is that a historical account inevitably reflects the perspective and choices of the historian. The passage compares history to a portrait that confesses the painter and stresses the historian's choices of light and shadow. Finding the main idea means seeing that the portrait metaphor and the choosing-light-and-shadow detail both serve the single claim about unavoidable perspective.
Read the following excerpt from a dialogue, then answer the question.
"'Why do you praise the swift?' asked the youth. 'Because they arrive,' said the master. 'And the slow?' 'Some of them arrive also,' said the master, 'and bring back word of the road that the swift were too quick to see.'"
The master's reply about the slow chiefly suggests that
A slower pace can yield understanding that haste overlooks
Speed is the only quality worth praising in a traveler
The swift and the slow learn exactly the same things
Those who travel slowly never reach their destination
Correct answer: A slower pace can yield understanding that haste overlooks
The master's reply chiefly suggests that a slower pace can yield understanding that haste overlooks. He grants that the swift arrive but adds that the slow bring back word of the road the swift were too quick to see. Logical inference draws this implied value of attentiveness from the contrast, rather than concluding that speed is worthless or that the slow never arrive.
Read the following excerpt, then answer the question.
"The author opens by recounting a famine, then a plague, then a war, each described in the same flat and tireless catalog, until the reader feels not horror but exhaustion, which, one suspects, is precisely the effect intended."
What does the passage suggest about the author's choice of a flat, repetitive style?
The style was a deliberate technique meant to produce a particular effect on the reader
The style resulted from the author's carelessness and lack of skill
The style was required by the rules of historical writing
The style was intended to make the events seem more horrifying than exhausting
Correct answer: The style was a deliberate technique meant to produce a particular effect on the reader
The passage suggests the style was a deliberate technique meant to produce a particular effect on the reader. It notes the flat catalog yields exhaustion rather than horror and adds that this is precisely the effect intended. Understanding authorial intent means crediting the closing judgment that the dull style was a calculated choice, not an accident or a genre requirement.
Choose the pair of words that best completes the analogy.
FAMINE is to ABUNDANCE as TYRANNY is to ____.
Liberty
Monarchy
Rebellion
Oppression
Correct answer: Liberty
The answer is liberty. This is an antonym analogy: famine, severe scarcity, is the opposite of abundance, so tyranny, oppressive rule, pairs with its opposite, liberty. An antonym analogy example like this is solved by fixing the relationship as opposition and choosing the term that contrasts with tyranny rather than one that resembles it, such as oppression.
Read the following excerpt, then answer the question.
"He had expected that wealth would silence his fears, and for a season it did; but the silence proved a held breath, not a peace, and when at last it broke, the fears returned with the strength of all the years they had been denied."
Which relationship is most central to the passage?
A suppressed cause that resurfaces with greater force once the suppression ends
An effect that appears without any underlying cause
Two separate fears unrelated to the man's wealth
Wealth permanently eliminating the man's fears
Correct answer: A suppressed cause that resurfaces with greater force once the suppression ends
The most central relationship is a suppressed cause that resurfaces with greater force once the suppression ends. The passage says wealth produced a held breath, not peace, and that when it broke the fears returned with the strength of all the years they had been denied. Reading cause and effect here means seeing the fears as merely postponed and then amplified, not eliminated.
In the following sentence, determine the meaning of the word from context.
"The council's decision was specious: it gleamed with the appearance of fairness yet, examined closely, rested on no principle at all."
As used here, "specious" most nearly means
Openly hostile and unjust
Seemingly fair but actually without merit
Carefully reasoned and well grounded
Hastily reached under pressure
Correct answer: Seemingly fair but actually without merit
As used here, specious most nearly means seemingly fair but actually without merit. The context supplies both halves of the meaning: it gleamed with the appearance of fairness yet rested on no principle. Using context clues, the contrast between appearance and substance defines specious as superficially plausible but hollow, not genuinely sound or openly hostile.
Read the following excerpt, then answer the question.
"Is it not strange, fellow citizens, that we lock our doors against the thief who would take our purse, yet fling them wide to the flatterer who would take our judgment? The one robs us of coin; the other, of ourselves."
The speaker poses the opening question chiefly in order to
Expose an inconsistency and persuade the audience to guard against flattery
Gather information about the audience's household habits
Praise the citizens for their vigilance against thieves
Describe the typical methods used by common thieves
Correct answer: Expose an inconsistency and persuade the audience to guard against flattery
The speaker poses the opening question chiefly in order to expose an inconsistency and persuade the audience to guard against flattery. The rhetorical question contrasts barring the thief with welcoming the flatterer, and the closing line ranks the loss of judgment above the loss of coin. Recognizing this rhetorical device means seeing the question as a persuasive move, not a request for information.
Read the following excerpt from a historical profile, then answer the question.
"The queen's chroniclers recorded her victories in gold leaf and her defeats in the briefest possible hand, so that a careless reader of the annals might suppose she had never lost a battle in her life."
Which inference about the chronicles is best supported by the passage?
The queen genuinely never lost a battle during her reign
The chronicles were composed to present the queen in a favorable light
The chronicles were a perfectly impartial record of the queen's reign
The chroniclers were forbidden from recording any defeats
Correct answer: The chronicles were composed to present the queen in a favorable light
The best-supported inference is that the chronicles were composed to present the queen in a favorable light. The passage notes victories in gold leaf and defeats in the briefest hand, so that a careless reader would think she never lost. Logical inference uses this uneven treatment to conclude the record was slanted toward flattery, not that it was impartial or that defeats were forbidden outright.
Read the following excerpt, then answer the question.
"Knowledge without humility is a lamp in the hand of a sleepwalker: bright, certainly, but carried where it cannot help and may well burn."
The simile comparing knowledge without humility to "a lamp in the hand of a sleepwalker" chiefly suggests that such knowledge is
Worthless because it produces no light at all
Easily extinguished by the smallest disturbance
Potentially dangerous because it is not guided by awareness
Admirable for its brilliance regardless of how it is used
Correct answer: Potentially dangerous because it is not guided by awareness
The simile chiefly suggests that such knowledge is potentially dangerous because it is not guided by awareness. To analyze figurative language, weigh both terms of the comparison: the lamp is bright, meaning the knowledge is real, but the sleepwalker carries it where it cannot help and may burn, meaning the lack of humility makes it harmful. The image stresses misuse from absent self-awareness rather than the brightness alone.
Read the following excerpt, then answer the question.
"The essay's argument is sound, its evidence ample, its prose clear. And yet it persuades no one, for it never once imagines that an honest person might disagree, and so it answers questions no reader was asking."
Which statement best captures the main point of the passage?
An argument can be technically excellent yet fail to persuade if it ignores the reader's actual objections
An essay with clear prose will always persuade its readers
The essay fails because its evidence is insufficient
Sound evidence is unnecessary if the prose is clear
Correct answer: An argument can be technically excellent yet fail to persuade if it ignores the reader's actual objections
The main point is that an argument can be technically excellent yet fail to persuade if it ignores the reader's actual objections. The passage grants the essay is sound, well-evidenced, and clear, then locates its failure in never imagining honest disagreement. Identifying the main idea means joining the concession and the criticism, which together fault the essay for answering questions no reader was asking.
Choose the pair of words that best completes the analogy.
PRUDENT is to RASH as TEMPERATE is to ____.
Restrained
Moderate
Intemperate
Sober
Correct answer: Intemperate
The answer is intemperate. This is an antonym analogy: prudent, carefully judicious, is the opposite of rash, so temperate, moderate and self-controlled, pairs with its opposite, intemperate. An antonym analogy example is solved by naming the relationship as opposition and selecting the term that reverses temperate rather than one that restates it, such as moderate or restrained.
Read the following excerpt from a philosophical reflection, then answer the question.
"We praise the river for reaching the sea, but the river deserves no praise, for it merely followed the slope it was given. Praise, if any is due, belongs to the man who reaches the sea by climbing."
The author distinguishes the river from the man chiefly to make the point that
Praise should be withheld from everyone alike
Merit belongs to effort that overcomes resistance, not to easy success
Rivers and men reach the sea by exactly the same means
Reaching the sea is an achievement available only to rivers
Correct answer: Merit belongs to effort that overcomes resistance, not to easy success
The author distinguishes the river from the man chiefly to make the point that merit belongs to effort that overcomes resistance, not to easy or inevitable success. The river follows its given slope and earns no praise, while the man who climbs deserves it. Understanding authorial intent here means reading the contrast as an argument about where genuine credit lies, not as a literal claim about rivers.
Read the following excerpt, then answer the question.
"The crowd, which an hour before had cheered the speaker until the rafters shook, now stood in a silence so complete that a dropped coin would have rung like a bell. The same men, the same hall; only the news had changed."
The contrast between the cheering crowd and the silent crowd most directly emphasizes
How sharply a crowd's mood can be reversed by a change in circumstances
That the speaker had grown too quiet to be heard
How poorly the hall carried the speaker's voice
That the crowd had been replaced by different people
Correct answer: How sharply a crowd's mood can be reversed by a change in circumstances
The contrast most directly emphasizes how sharply a crowd's mood can be reversed by a change in circumstances. The passage stresses that the men and the hall were the same, only the news had changed, framing the news as the cause of the reversal from roar to silence. Following this cause and effect, the changed news accounts for the dramatic shift in the crowd's behavior.
Read the following excerpt, then answer the question.
"To read a hard page well, do not seize on the first sentence and rest there. Ask what the whole means, then return to the parts; the sentence that seemed obscure alone often grows plain once the argument around it is seen."
The passage chiefly recommends which approach to reading comprehension?
Reading only the sentences that are immediately clear
Memorizing the first sentence and skipping the rest
Interpreting individual sentences in light of the passage as a whole
Avoiding any passage whose first sentence is difficult
Correct answer: Interpreting individual sentences in light of the passage as a whole
The passage chiefly recommends interpreting individual sentences in light of the passage as a whole. It advises against resting on the first sentence and urges the reader to grasp the whole and then return to the parts, since an obscure sentence grows plain in context. This is sound guidance for how to answer reading comprehension questions, where local meaning depends on the larger argument.
Read the following excerpt from a work of moral reflection, then answer the question.
"Consider the oak, which the gardener never hurries. He does not pull at its branches to make it tall, nor pry open its acorns to hasten the crop. He waters, he weeds, he waits; and the tree, asking no permission of the calendar, becomes in its season what no impatience could have made it."
The author's description of the gardener who 'waters, he weeds, he waits' chiefly serves to
Warn the reader against the dangers of planting trees too close together
Argue that gardeners should abandon their crops to nature without any care
Prove that oak trees grow faster than other species of tree
Illustrate that worthwhile growth comes through patient tending rather than forced haste
Correct answer: Illustrate that worthwhile growth comes through patient tending rather than forced haste
The description of the gardener chiefly serves to illustrate that worthwhile growth comes through patient tending rather than forced haste. The three short verbs 'waters, he weeds, he waits' present steady, unhurried care, and the passage contrasts this with pulling at branches or prying open acorns to hasten the crop, concluding that the tree becomes what no impatience could have made it. Asking what a specific detail accomplishes within a passage is a core reading skill: the detail is an image chosen to support the larger point about patience rather than a literal lesson in arboriculture.
Read the passage, then choose the option that best combines the underlined sentences.
"The astronomer published his findings in the spring. _The findings were met with ridicule. The ridicule did not last._"
The findings were met with ridicule and the ridicule it did not last.
The findings were met with ridicule, the ridicule did not last.
His findings were met with ridicule that did not last.
The findings, which were met with ridicule, did not last.
Correct answer: His findings were met with ridicule that did not last.
The best combination is "His findings were met with ridicule that did not last." Combining choppy sentences with a relative clause ("that did not last") tightens the prose and shows the relationship cleanly. Joining the clauses with only a comma creates a comma splice, and the version with "which were met with ridicule, did not last" wrongly says the findings rather than the ridicule did not last.
Read the passage, then choose the most concise revision of the underlined portion.
"The treatise was admired in its own day, and _at the present time it continues to still be widely read even now_ by students of moral philosophy."
It is still widely read today
It continues to still be read presently even today
At this current present moment it is also read
NO CHANGE
Correct answer: It is still widely read today
The best revision is "it is still widely read today." Concise writing avoids redundancy, and the original piles up "at the present time," "continues," "still," and "even now," which all repeat the same idea. "Still ... today" conveys the meaning without the wordy repetition that clutters the other versions.
Read the passage, then choose the best revision of the underlined portion.
"The general trusted no counselor more than _he,_ for they had marched together since boyhood."
Him
NO CHANGE
His
Himself
Correct answer: Him
The correct choice is "him." The pronoun is the object of the comparison "trusted no counselor more than [he trusted] him," so the objective case "him" is required. The subjective "he" would be correct only if a verb followed ("more than he did"); since none does, "him" is the standard form, and "his" and "himself" do not fit the object slot.
Read the passage, then choose the best revision of the underlined portion.
"The philosopher distinguished between two kinds of knowledge_ that which we acquire through the senses and that which we grasp by reason alone."
Knowledge; that
Knowledge, that
Knowledge: that
NO CHANGE
Correct answer: Knowledge: that
The correct choice is a colon: "two kinds of knowledge: that which we acquire..." The clause before the colon is complete and explicitly promises two kinds, and the colon introduces the elaboration that names them. A semicolon would wrongly require a full independent clause after it, and a comma is too weak to introduce the formal explanation.
Read the passage, then choose the best revision of the underlined portion.
"It was the eloquence of the orator, not the strength of his arguments, _that were_ remembered long after the assembly dispersed."
That was
Who were
That were being
NO CHANGE
Correct answer: That was
The correct choice is "that was." The relative pronoun "that" refers to "the eloquence," a singular noun, so it requires the singular verb "was." The intervening phrase "not the strength of his arguments" does not change the number of the true subject. A common error is letting the nearer plural "arguments" wrongly pull the verb to "were."
Read the passage, then choose the option that best fixes the underlined sentence.
"The pilgrims set out at dawn, _and they walked all day, and they did not stop until the bells of the distant abbey rang at dusk._"
NO CHANGE
And walked all day, and not stopping until the bells of the distant abbey rang at dusk
And they walked all day they did not stop until the bells rang at dusk
Walking all day and not stopping until the bells of the distant abbey rang at dusk
Correct answer: Walking all day and not stopping until the bells of the distant abbey rang at dusk
The best revision is "walking all day and not stopping until the bells of the distant abbey rang at dusk." The original strings clauses together with repeated "and they," which is monotonous and baggy. Subordinating the actions into parallel participial phrases ("walking ... not stopping") tightens the flow. The other options either create a run-on or break parallelism between the participles.
Read the passage, then choose the best revision of the underlined portion.
"The young apprentice was eager to learn, _therefore he_ asked the master a hundred questions before the first lesson ended."
; therefore, he
Therefore; he
NO CHANGE
Therefore, he
Correct answer: ; therefore, he
The correct choice is "; therefore, he asked." "Therefore" is a conjunctive adverb, which cannot join two independent clauses with only a comma. The proper pattern places a semicolon before "therefore" and a comma after it. Using just a comma ("therefore he" or "therefore, he") leaves a comma splice between two complete clauses.
Read the passage, then choose the best revision of the underlined portion.
"The two scholars disagreed sharply, but _their_ aim was the same: to arrive at the truth."
Its
They're
There
NO CHANGE
Correct answer: NO CHANGE
NO CHANGE is correct. "Their" is the possessive pronoun showing that the aim belongs to the two scholars, and it agrees with the plural antecedent. "They're" means "they are," "there" indicates place, and "its" is singular and would not agree with two scholars. The possessive "their" is the only form that fits both grammatically and in meaning.
Read the passage, then choose the best revision of the underlined portion.
"The historian sifted the evidence carefully, _laying aside rumor, weighing testimony, and he distinguished fact from legend._"
Laying aside rumor, weighing testimony, and distinguishing fact from legend
NO CHANGE
Laying aside rumor, to weigh testimony, and he distinguished fact from legend
To lay aside rumor, weighing testimony, and distinguishing fact from legend
Correct answer: Laying aside rumor, weighing testimony, and distinguishing fact from legend
The best revision is "laying aside rumor, weighing testimony, and distinguishing fact from legend." Items in a series must share the same grammatical form; the first two are present participles, so the third must be "distinguishing" rather than the clause "he distinguished." This parallel structure keeps the sentence balanced and smooth.
Read the passage, then choose the best revision of the underlined portion.
"The siege lasted through the winter_ supplies dwindled, the walls cracked, and still the defenders held."
NO CHANGE
Winter, supplies dwindled
Winter: supplies dwindled,
Winter; supplies dwindled
Correct answer: Winter; supplies dwindled
The correct choice is a semicolon: "through the winter; supplies dwindled, the walls cracked, and still the defenders held." The first clause is independent, and a full independent clause follows. A semicolon joins related independent clauses without a conjunction; the original fuses them into a run-on, and a comma alone would create a comma splice.
Read the passage, then choose the option that best supplies the missing transition.
"The reformer's proposals were sound, and most of the council privately agreed with them. _____, fear of the crowd kept them silent when the vote was called."
For example
Therefore
Nevertheless
Likewise
Correct answer: Nevertheless
The best transition is "Nevertheless." The sentence sets up a contrast: the council agreed, yet fear kept them silent. "Nevertheless" signals that contrast. "Therefore" and "Likewise" imply agreement or result rather than opposition, and "For example" would wrongly introduce an illustration.
Read the passage, then choose the best revision of the underlined portion.
"The poet who composed the epic_ remains unknown, though scholars have debated his identity for centuries."
Epic,
Epic:
NO CHANGE
Epic;
Correct answer: NO CHANGE
NO CHANGE is correct. The clause "who composed the epic" is essential (restrictive): it identifies which poet is meant, so it must not be set off by commas. Adding a comma, semicolon, or colon would wrongly separate the restrictive relative clause from the noun it defines and break the subject from its verb "remains."
Read the passage, then choose the best revision of the underlined portion.
"Erasmus, _who's_ wit could wound as easily as it could delight, spared neither prince nor priest in his satire."
NO CHANGE
Who
Whose
Whom
Correct answer: Whose
The correct choice is "whose." The sentence needs the possessive relative pronoun to show that the wit belongs to Erasmus, and "whose" is that possessive form. "Who's" is a contraction of "who is," "whom" is an object pronoun, and "who" is a subject pronoun, none of which can indicate possession.
Read the passage, then choose the best revision of the underlined portion.
"The senator argued that the republic stood at a crossroads_ it could renew its virtue or surrender to its appetites."
Crossroads: it
Crossroads it
Crossroads, it
NO CHANGE
Correct answer: Crossroads: it
The correct choice is a colon: "stood at a crossroads: it could renew its virtue or surrender to its appetites." The first clause is complete and the colon introduces the explanation of what the crossroads means. A comma alone would create a comma splice, and leaving no punctuation produces a run-on. The colon best signals that what follows elaborates the preceding statement.
Read the passage, then choose the best revision of the underlined portion.
"The treaty was meant to last, _but it's terms_ were broken within a single season."
But its terms
But its' terms
NO CHANGE
But their terms
Correct answer: But its terms
The correct choice is "but its terms." The possessive of "it" is "its," with no apostrophe. "It's" means "it is," "its'" is not a word, and "their" would not agree with the singular antecedent "treaty." The possessive "its" correctly shows the terms belonging to the treaty.
Read the passage, then choose the best revision of the underlined portion.
"_Having studied the stars for many years,_ the comet's return seemed inevitable to the old astronomer."
Having studied the stars for many years, the old astronomer found the comet's return inevitable.
Having studied the stars for many years the comet's return seemed inevitable to the old astronomer.
The comet's return, having studied the stars for many years, seemed inevitable to the old astronomer.
NO CHANGE
Correct answer: Having studied the stars for many years, the old astronomer found the comet's return inevitable.
The best revision is "Having studied the stars for many years, the old astronomer found the comet's return inevitable." The introductory phrase "Having studied the stars" must modify the one who studied, but in the original it dangles next to "the comet's return," implying the comet studied the stars. Placing "the old astronomer" right after the phrase corrects the dangling modifier.
Read the passage, then choose the best revision of the underlined portion.
"The mathematician's proof was elegant_ his rivals, who had labored for years, could find no flaw in it."
NO CHANGE
Elegant, his rivals
Elegant: his rivals,
Elegant; his rivals
Correct answer: Elegant; his rivals
The correct choice is a semicolon: "elegant; his rivals ... could find no flaw in it." Two independent clauses meet here, and a semicolon joins closely related independent clauses without a conjunction. The original runs them together as a fused sentence, and a comma alone would make a comma splice.
Read the passage, then choose the most precise word to fit the passage.
"The diplomat chose his words with care, knowing that a single careless phrase might _mess up_ years of patient negotiation."
Goof
Undo
Wreck up
NO CHANGE
Correct answer: Undo
The best word is "undo." Diction must match the formal, measured tone of a passage about careful diplomacy, and "undo" precisely conveys reversing the negotiation's progress. "Mess up," "wreck up," and "goof" are colloquial and clash with the dignified register of the sentence.
Read the passage, then choose the best revision of the underlined portion.
"The abbot ruled the monastery _firm but fair,_ and the brothers obeyed him gladly."
Firmly but fair,
Firm but fairly,
NO CHANGE
Firmly but fairly,
Correct answer: Firmly but fairly,
The correct choice is "firmly but fairly." These words modify the verb "ruled," so they must be adverbs, and both adverbs should match in form for parallelism. "Firm" and "fair" are adjectives and cannot modify a verb, and mixing one adverb with one adjective breaks the parallel pairing.
Read the passage, then choose the best revision of the underlined portion.
"Among the relics preserved in the great cathedral _was a tattered banner and an ancient sword_ carried by the founder of the realm."
Were a tattered banner and an ancient sword that was
Was a tattered banner and an ancient sword that was
NO CHANGE
Were a tattered banner and an ancient sword
Correct answer: Were a tattered banner and an ancient sword
The correct choice is "were a tattered banner and an ancient sword." In this inverted sentence, the true subject follows the verb and is the compound "a tattered banner and an ancient sword," which is plural and requires "were." Do not be misled by the singular-looking opening; the verb must agree with the plural subject that follows it.
Read the passage, then choose the best revision of the underlined portion.
"The reformer believed deeply in the cause_ moreover, he was willing to suffer for it."
Cause, moreover
Cause; moreover,
Cause moreover,
NO CHANGE
Correct answer: Cause; moreover,
The correct choice is "cause; moreover, he was willing." "Moreover" is a conjunctive adverb joining two independent clauses, so it needs a semicolon before it and a comma after it. Using only a comma, or no punctuation before "moreover," produces a comma splice or run-on between the two complete clauses.
Read the passage, then choose the option that best fixes the underlined sentence.
"The scribe labored for decades over the chronicle. _A work that recorded every king, every battle, and every famine of the age._"
A work recording every king, every battle, and every famine of the age.
NO CHANGE
A work that recorded every king, every battle, and every famine of the age
A work, recording every king, every battle, and every famine of the age
Correct answer: A work that recorded every king, every battle, and every famine of the age
The best revision is to attach the phrase to the previous sentence with a comma: "over the chronicle, a work that recorded every king..." Standing alone, "A work that recorded..." is a sentence fragment because it is only a noun phrase with a relative clause, lacking a main verb of its own. Joining it as an appositive to the complete sentence repairs the fragment.
Read the passage, then choose the best revision of the underlined portion.
"The conqueror was not interested in glory so much as _power,_ which he pursued without rest."
Power; which
Power: which
Power which
NO CHANGE
Correct answer: NO CHANGE
NO CHANGE is correct. The comma before "which" correctly sets off a nonrestrictive relative clause that adds information about "power." A semicolon would wrongly require an independent clause after it, a colon would imply a list or explanation, and omitting the comma would turn the clause into a restrictive one, changing the meaning. The comma is the proper punctuation here.
Read the passage, then choose the best revision of the underlined portion.
"To the philosopher, wisdom was not a possession to be guarded but _a road to be walked;_ one never reached its end."
A road to be walked,
A road to be walked
NO CHANGE
A road to be walked:
Correct answer: NO CHANGE
NO CHANGE is correct. The semicolon properly joins two independent clauses: "wisdom was ... a road to be walked" and "one never reached its end." The clauses are closely related complete thoughts, which is exactly when a semicolon is appropriate. A comma would create a comma splice, a colon would misframe the relationship, and no punctuation would yield a run-on.
Read the passage, then choose the best revision of the underlined portion.
"The students were taught not only to read the ancient tongues _but also writing_ them with fluency."
But also to write
But also they wrote
But to also writing
NO CHANGE
Correct answer: But also to write
The correct choice is "but also to write." The correlative pair "not only ... but also" requires parallel grammatical forms on each side; since the first half is "to read," the second must be "to write." Using the gerund "writing" or a clause breaks the parallel structure that correlative conjunctions demand.
Read the passage, then choose the best revision of the underlined portion.
"The council's decision pleased _neither the merchants or the farmers,_ and unrest soon followed."
NO CHANGE
Neither the merchants nor the farmers,
Neither the merchants nor the farmers nor,
Either the merchants or the farmers neither,
Correct answer: Neither the merchants nor the farmers,
The correct choice is "neither the merchants nor the farmers." The correlative conjunction "neither" must pair with "nor," not "or." The original wrongly pairs "neither" with "or," and the other versions either misuse "either" or add a stray third "nor." Matching "neither" with "nor" produces the correct idiom.
Read the passage, then choose the best revision of the underlined portion.
"The old soldier spoke of the campaign _like_ he had marched it only yesterday."
Like as if
NO CHANGE
As though
As like
Correct answer: As though
The correct choice is "as though." To introduce a clause with its own subject and verb ("he had marched it only yesterday"), formal usage calls for the conjunction "as though" or "as if," not the preposition "like." "Like" should govern a noun, not a full clause, so the other versions are nonstandard.
Read the passage, then choose the best revision of the underlined portion.
"The historian compared the fall of the empire to a great oak: sound in appearance, _but it was hollow at the core._"
But the core of it was being hollow
NO CHANGE
However hollow at the core it was
But hollow at the core
Correct answer: But hollow at the core
The best revision is "but hollow at the core." The phrase parallels "sound in appearance," so it should match that form: adjective plus prepositional phrase. "But hollow at the core" mirrors "sound in appearance" exactly, whereas adding a clause ("but it was hollow") breaks the parallel balance the colon set up.
Read the passage, then choose the best revision of the underlined portion.
"The queen rewarded those who had served her loyally_ knights, advisers, and the humble servants of the household alike."
NO CHANGE
Loyally, knights
Loyally: knights
Loyally; knights
Correct answer: Loyally: knights
The correct choice is a colon: "served her loyally: knights, advisers, and the humble servants of the household alike." The preceding clause is complete, and the colon introduces the list specifying who was rewarded. A comma is too weak to mark the formal list, and a semicolon would wrongly require an independent clause after it.
Read the passage, then choose the best revision of the underlined portion.
"Galen's medical writings, translated into many languages, _has shaped_ the practice of physicians for over a thousand years."
Has been shaping
Have shaped
Shapes
NO CHANGE
Correct answer: Have shaped
The correct choice is "have shaped." The subject is the plural "writings," so the verb must be plural: "have shaped." The intervening phrase "translated into many languages" does not change the subject's number. Mistaking the singular-sounding modifier for the subject is a common subject-verb agreement error.
Read the passage, then choose the best revision of the underlined portion.
"The two brothers were unlike in everything_ one sought solitude, the other the noise of the crowd."
NO CHANGE
Everything; one sought solitude,
Everything: one sought solitude,
Everything, one sought solitude,
Correct answer: Everything: one sought solitude,
The correct choice is a colon: "unlike in everything: one sought solitude, the other the noise of the crowd." The colon follows a complete clause and introduces the explanation of how they were unlike. A comma alone would create a comma splice, the original is a run-on, and a semicolon would less precisely signal the explanatory relationship that the colon captures.
Read the passage, then choose the most precise revision of the underlined portion.
"The young king ruled wisely, and his subjects _had a lot of good feelings about_ his reign."
Thought was nice about
NO CHANGE
Cherished
Were into
Correct answer: Cherished
The best word is "cherished." Precise, elevated diction suits a passage about a wise king's reign, and "cherished" conveys that the subjects held the reign dear in a single exact verb. "Had a lot of good feelings about," "were into," and "thought was nice about" are vague and informal, clashing with the formal tone.
Read the passage, then choose the best revision of the underlined portion.
"The philosopher urged his students to question everything_ even, he said, the very foundations of their belief."
Everything; even, he said,
Everything, even, he said,
NO CHANGE
Everything: even, he said,
Correct answer: Everything, even, he said,
The correct choice is "everything, even, he said, the very foundations of their belief." A comma after "everything" attaches the trailing modifying phrase, and the pair of commas around "he said" sets off the interrupting attribution. Leaving no punctuation after "everything" (NO CHANGE) runs the phrase on, while a semicolon or colon would wrongly demand an independent clause or formal list, but "even ... the very foundations" is only a phrase.
Read the passage, then choose the best revision of the underlined portion.
"_Its been said_ that the unexamined life is not worth living, a saying attributed to Socrates."
It's been said
Its being said
Its' been said
NO CHANGE
Correct answer: It's been said
The correct choice is "It's been said." Here "it's" is the contraction of "it has" ("it has been said"), so the apostrophe is required. "Its" is possessive, "its'" is not a word, and "Its being said" is not a grammatical sentence opener. Distinguishing the contraction "it's" from the possessive "its" is the key.
Read the passage, then choose the best revision of the underlined portion.
"The architect designed the cathedral so that morning light would fall upon the altar_ a detail that pilgrims still admire today."
Altar, a detail
Altar; a detail
NO CHANGE
Altar: a detail,
Correct answer: Altar, a detail
The correct choice is a comma: "upon the altar, a detail that pilgrims still admire today." The phrase "a detail that pilgrims still admire" is an appositive renaming the idea of the main clause, and an appositive is set off with a comma. A semicolon requires an independent clause, and a colon followed by a comma is improperly punctuated here.
Read the passage, then choose the best revision of the underlined portion.
"The two theories cannot both be true, _and so one of them must be false;_ the burden falls on the philosopher to determine which."
And so one of them must be false
And so one of them must be false,
And so, one of them must be false:
NO CHANGE
Correct answer: NO CHANGE
NO CHANGE is correct. The semicolon properly separates the two independent clauses "one of them must be false" and "the burden falls on the philosopher to determine which." Replacing it with a comma would create a comma splice, and removing punctuation entirely would produce a run-on. The semicolon is the right way to link these related complete clauses.
Read the passage, then choose the best revision of the underlined portion.
"The chronicle described the famine in grim detail, _it's pages_ heavy with accounts of suffering."
Its pages
Their pages
Its' pages
NO CHANGE
Correct answer: Its pages
The correct choice is "its pages." The possessive form of "it" is "its," without an apostrophe, and it refers to the singular "chronicle." "It's" means "it is," "their" is plural and would not agree with the singular chronicle, and "its'" is not a word. The possessive "its" correctly shows the pages belonging to the chronicle.
Read the passage, then choose the best revision of the underlined portion.
"The orator paused, surveyed the silent crowd, and _then he began to speak in a voice that carried to the farthest seats._"
He then began speaking in a voice carrying to the farthest seats
Began to speak in a voice that carried to the farthest seats
Then beginning to speak in a voice that carried to the farthest seats
NO CHANGE
Correct answer: Began to speak in a voice that carried to the farthest seats
The best revision is "began to speak in a voice that carried to the farthest seats." The sentence lists three actions by one subject: "paused, surveyed, and began." For parallel structure, the third verb should match the first two as a simple past-tense verb without re-stating the subject. "Then he began" awkwardly inserts a new subject, breaking the parallel verb series.
Read the passage, then choose the best revision of the underlined portion.
"The professor explained that the founders had read widely in history_ they drew lessons from Athens, Rome, and the republics of the Renaissance."
NO CHANGE
History, they drew
History: they drew,
History; they drew
Correct answer: History; they drew
The correct choice is a semicolon: "read widely in history; they drew lessons from Athens, Rome, and the republics of the Renaissance." Both clauses are independent, and a semicolon joins related independent clauses without a conjunction. The original is a run-on, and a comma alone would create a comma splice.
Read the passage, then choose the best revision of the underlined portion.
"The knight fought more bravely than _any_ of his companions, charging the enemy line again and again."
Any other
None
Either
NO CHANGE
Correct answer: Any other
The correct choice is "any other." Because the knight is part of the group being compared, the comparison must exclude him with "any other"; otherwise "braver than any of his companions" illogically compares him to a group that includes himself. "Any other" properly sets him apart from the rest, completing the comparison logically.
Read the passage, then choose the best revision of the underlined portion.
"_Lying on the table beside the lamp was_ the letters that would change the course of the war."
Laying on the table beside the lamp were
Lying on the table beside the lamp were
Laying on the table beside the lamp was
NO CHANGE
Correct answer: Lying on the table beside the lamp were
The correct choice is "Lying on the table beside the lamp were." The true subject is the plural "letters," so the verb must be plural: "were." Also, the intransitive verb "lie" (resting in place) takes the present participle "lying," not "laying," which belongs to transitive "lay" (to place something). Both number and verb choice must be correct.
Read the passage, then choose the best revision of the underlined portion.
"The reformer's courage, _which inspired thousands,_ also made him many powerful enemies."
NO CHANGE
That inspired thousands,
Which inspired thousands
That inspired thousands
Correct answer: NO CHANGE
NO CHANGE is correct. The clause "which inspired thousands" adds nonessential information about the courage and is properly set off by a pair of commas, with "which" the correct relative pronoun for a nonrestrictive clause. "That" introduces restrictive clauses and should not take commas, and dropping the closing comma would leave the interrupter half-punctuated.
Read the passage, then choose the option that best improves the underlined sentence.
"The treatise argues for moderation in all things. _The author talks about how you should not do too much or too little of stuff and find the middle._"
The author says you shouldn't overdo things or underdo things but stay in the middle of it all.
The author contends that one should pursue neither excess nor deficiency, but the mean between them.
Talking about not doing too much or too little, but finding the middle ground of things.
NO CHANGE
Correct answer: The author contends that one should pursue neither excess nor deficiency, but the mean between them.
The best revision is "The author contends that one should pursue neither excess nor deficiency, but the mean between them." The CLT writing section rewards precise, elevated diction over loose phrasing like "do too much or too little of stuff." This revision uses exact terms ("excess," "deficiency," "the mean") suited to a philosophical treatise, while the last option is a sentence fragment lacking a main clause.
Read the passage, then choose the option that best corrects the underlined run-on.
"The merchant grew rich through honest trade _he gave freely to the poor he was honored throughout the city._"
He gave freely to the poor, he was honored throughout the city
Trade; he gave freely to the poor, and he was honored throughout the city
NO CHANGE
Trade, he gave freely to the poor, he was honored throughout the city
Correct answer: Trade; he gave freely to the poor, and he was honored throughout the city
The best correction is "trade; he gave freely to the poor, and he was honored throughout the city." The original is a run-on (fused) sentence containing three independent clauses with no proper punctuation. One sound way to fix a run-on is to separate clauses with a semicolon and join the last two with a comma plus the coordinating conjunction "and." Simply inserting commas between independent clauses, as the other versions do, only converts the run-on into comma splices.
Read the passage excerpt, then choose the best transition for the underlined gap.
"Aristotle taught that the good life is found in steady habit rather than in fleeting pleasure. ___ his pupil Alexander, for all his conquests, never found the contentment his master had described."
Which transition best fits the underlined gap?
For example,
Fittingly,
However,
Likewise,
Correct answer: For example,
The transition "For example," best fits the gap because the second sentence offers Alexander as a concrete instance of the general claim that conquests and pleasure do not bring contentment. A good transition signals the logical relationship between sentences, and here the relationship is illustration, not contrast. "However" would wrongly signal opposition, since the example agrees with the point rather than undercutting it.
Read the passage excerpt, then decide whether the underlined sentence should be revised.
"The shepherd boy faced the giant with nothing but a sling and five smooth stones. He had refused the king's heavy armor, trusting instead in a courage that did not depend on bronze."
The underlined sentence is: "He had refused the king's heavy armor, trusting instead in a courage that did not depend on bronze." Which choice is best?
Refusing the king's heavy armor, his courage did not depend on bronze, instead.
He refused the king's heavy armor and he was trusting in a courage not depending upon bronze.
He had refused the king's heavy armor; trusting instead in a courage that did not depend on bronze.
NO CHANGE
Correct answer: NO CHANGE
The best choice is NO CHANGE, because the underlined sentence is already correct: a complete main clause followed by a comma and a participial phrase ("trusting instead...") that modifies the subject. The CLT supplies a NO CHANGE option for exactly this situation, when no error of grammar, punctuation, structure, or flow exists. The semicolon version is wrong because a participial phrase is not an independent clause, and the dangling-modifier version makes "his courage" appear to refuse the armor.
Read the passage excerpt, then decide which sentence would best be added at the underlined point.
"The historian praised the republic for dividing its powers among many hands. No single magistrate could command the army, draft the laws, and judge the courts all at once. ___ A constitution built on such checks, he argued, guards liberty better than the goodwill of any one ruler."
Which added sentence best supports the paragraph's logic at the gap?
The army of that era was among the largest the world had yet seen.
The historian himself had once held public office in his youth.
Many later writers disagreed sharply with his conclusions about power.
Ambition was therefore set against ambition, so that no faction could seize the whole.
Correct answer: Ambition was therefore set against ambition, so that no faction could seize the whole.
The best addition is "Ambition was therefore set against ambition, so that no faction could seize the whole," because it bridges the prior sentence about divided powers and the concluding claim about checks guarding liberty. A sentence added to a passage must advance the paragraph's central line of reasoning, and this one explains why dividing power protects freedom. The other choices introduce the historian's biography, later critics, or army size, all of which break the logical thread.
Read the passage excerpt, then choose the option that correctly identifies the underlined unit.
"Because the city had forgotten its ancient laws, the elders gathered to read the old scrolls aloud."
The underlined unit is: "Because the city had forgotten its ancient laws". What is it, grammatically?
An independent clause, since it expresses a complete thought on its own
A dependent clause, since it has a subject and verb but cannot stand alone as a sentence
A compound predicate, since it contains more than one action
A prepositional phrase, since it begins with a connecting word and has no verb
Correct answer: A dependent clause, since it has a subject and verb but cannot stand alone as a sentence
The underlined unit is a dependent clause, because it has a subject ("the city") and a verb ("had forgotten") yet begins with the subordinating conjunction "Because," which keeps it from standing alone. A dependent (subordinate) clause cannot be a complete sentence and must attach to an independent clause, which here is "the elders gathered to read the old scrolls aloud." It is not a phrase, since it contains a subject and verb, and not independent, since "Because" leaves the thought unfinished.
Read the passage excerpt, then choose the option that best names and fixes the error in the underlined portion.
"The prophet warned the people for forty years, they did not turn from their ways."
The underlined portion is: "forty years, they did not". Which choice best identifies and corrects the error?
It is correct as written and needs no change
It is a fragment, fixed by writing "forty years they did not"
It is a dangling modifier, fixed by writing "forty years, having not turned"
It is a comma splice, fixed by writing "forty years, but they did not"
Correct answer: It is a comma splice, fixed by writing "forty years, but they did not"
The error is a comma splice, and it is best fixed by writing "for forty years, but they did not turn from their ways." A comma splice joins two independent clauses with only a comma; unlike a fused run-on, it does have a comma, but a comma alone cannot link complete sentences. Adding the coordinating conjunction "but" supplies the needed connector. Removing the comma entirely would convert the splice into a fused run-on, which is also wrong.
Read the passage excerpt, then choose the best treatment of the underlined adjectives.
"The pilgrims crossed a wide treacherous river before reaching the safety of the far shore."
The underlined portion is: "a wide treacherous river". Which choice is best?
A wide: treacherous river
A wide; treacherous river
A wide, treacherous river
A wide treacherous river
Correct answer: A wide, treacherous river
The best choice is "a wide, treacherous river," because "wide" and "treacherous" are coordinate adjectives that each independently modify "river" and so take a comma between them. A comma rule for coordinate adjectives is that you separate them with a comma when you could reverse their order or insert "and" without losing sense ("a treacherous, wide river" or "wide and treacherous"). A semicolon or colon never separates two adjectives describing the same noun.
Use the quadratic formula to solve 3x2−7x+2=0. What are its two solutions?
x=−2 and x=−31
x=2 and x=31
x=7 and x=32
x=21 and x=3
Correct answer: x=2 and x=31
The solutions are x=2 and x=31. With a=3, b=−7, c=2, the discriminant is 49 minus 24, or 25, whose square root is 5, so x equals (7 plus or minus 5) over 6, giving 612=2 or 62=31. The quadratic formula solves any quadratic even when factoring is not immediate.
The quadratic equation x2−4x+4=0 is solved with the quadratic formula. How many distinct real solutions does it have, and what are they?
Two solutions, x=2 and x=−2
One repeated solution, x=2
No real solutions
Two solutions, x=4 and x=1
Correct answer: One repeated solution, x=2
There is one repeated solution, x=2. The discriminant b2−4ac equals 16 minus 16, which is 0, and a zero discriminant means the two roots coincide. Here x equals 4 over 2, which is 2, and the equation factors as (x−2)2.
A right triangle has legs of length 9 and 12. Using the Pythagorean theorem, what is the length of the hypotenuse?
18
15
16
21
Correct answer: 15
The hypotenuse is 15. By the Pythagorean theorem the hypotenuse squared equals 9 squared plus 12 squared, which is 81 plus 144, or 225, and 225 is 15. This is a 3-4-5 triple scaled by 3; adding the legs to get 21 ignores the theorem.
A rectangular field measures 24 meters by 7 meters. Using the Pythagorean theorem, what is the length of its diagonal?
25 meters
17 meters
31 meters
23 meters
Correct answer: 25 meters
The diagonal is 25 meters. The diagonal is the hypotenuse of a right triangle with legs 24 and 7, so it equals 242+72, which is 576+49, or 625, equaling 25. The numbers 7, 24, 25 form a Pythagorean triple.
Which set of three whole numbers forms a Pythagorean triple?
8, 11, 14
9, 10, 14
6, 9, 12
7, 24, 25
Correct answer: 7, 24, 25
The set 7, 24, 25 is a Pythagorean triple because 7 squared plus 24 squared equals 49 plus 576, or 625, which is 25 squared. A Pythagorean triple is three whole numbers that satisfy a2+b2=c2. The set 6, 9, 12 fails because 36 plus 81 is 117, not 144.
What is the distance between the points (1,−2) and (9,4) in the coordinate plane?
14
10
8
14
Correct answer: 10
The distance is 10. The distance formula gives (9−1)2+(4−(−2))2, which is 82+62, or 64+36, equaling 100, which is 10. The changes of 8 and 6 form a 6-8-10 right triangle.
A line in slope-intercept form is y=21x−6. Where does this line cross the y-axis?
(−6,0)
(12,0)
(0,−6)
(0,21)
Correct answer: (0,−6)
The line crosses the y-axis at (0,−6). In slope-intercept form y=mx+b, the constant b is the y-intercept and is found at x equal to 0, where y equals -6. The point (−6,0) confuses the y-intercept with an x-intercept.
A line passes through (−4,6) and (2,6). Using the slope formula, what is its slope?
Undefined
−3
0
6
Correct answer: 0
The slope is 0. The slope formula gives (6 minus 6) over (2 minus negative 4), which is 0 over 6, equaling 0. Both points share the same y-coordinate, so the line is horizontal, and horizontal lines always have a slope of 0.
Solve the linear equation 7x+3=4x−12 for x.
x=5
x=−5
x=3
x=−3
Correct answer: x=−5
The solution is x=−5. Subtract 4x from both sides to get 3x plus 3 equals -12, subtract 3 to get 3x equals -15, then divide by 3 to get x equals -5. Substituting back gives 7(−5)+3=−32 and 4(−5)−12=−32, confirming the answer.
Which equation represents a line with a slope of 2 and a y-intercept of -4?
y=−2x−4
y=2x−4
y=2x+4
y=−4x+2
Correct answer: y=2x−4
The equation is y=2x−4. A linear equation in slope-intercept form is y=mx+b, where the slope m is the rise per unit run and b is the y-intercept; here the slope is 2 and the y-intercept is -4. Reversing the roles of slope and intercept gives the incorrect y=−4x+2.
A triangle has an area of 48 square units and a base of 12 units. What is its height?
6 units
8 units
16 units
4 units
Correct answer: 8 units
The height is 8 units. Rearranging Area = (1/2) times base times height gives height = (2 times Area) divided by base, which is (2 times 48) divided by 12, or 96 divided by 12, equaling 8. Dividing the area by the base without the factor of 2 would wrongly give 4.
What is the area of a circle whose diameter is 10 units?
10 pi square units
100 pi square units
50 pi square units
25 pi square units
Correct answer: 25 pi square units
The area is 25 pi square units. The radius is half the diameter, so a diameter of 10 gives a radius of 5, and the area pi times r squared is pi times 25, or 25 pi. Using the diameter directly as the radius would wrongly give 100 pi.
In a 45-45-90 triangle, the hypotenuse measures 62. What is the length of each leg?
6
12
62
32
Correct answer: 6
Each leg is 6. In a 45-45-90 triangle the hypotenuse equals a leg times 2, so dividing the hypotenuse 62 by 2 leaves 6. The two legs are equal because the triangle is isosceles.
In a 30-60-90 triangle, the hypotenuse measures 14. What is the length of the shorter leg, opposite the 30-degree angle?
143
73
3.5
7
Correct answer: 7
The shorter leg is 7. In a 30-60-90 triangle the side ratio is 1:3:2, where the hypotenuse is twice the shorter leg. So the shorter leg is half of 14, which is 7. The longer leg would be 73.
Why are the 45-45-90 and 30-60-90 triangles called special right triangles?
They have no hypotenuse
Their angles do not sum to 180 degrees
Their side lengths always follow fixed ratios, so sides can be found without measuring
They are the only triangles with a right angle
Correct answer: Their side lengths always follow fixed ratios, so sides can be found without measuring
They are special because their side lengths always follow fixed ratios, allowing sides to be found from one known side without measuring. The 45-45-90 ratio is 1:1:2, and the 30-60-90 ratio is 1:3:2. Many other triangles also contain a right angle, so being right-angled alone is not what makes these special.
In a right triangle, the side opposite an angle is 8 and the side adjacent to it is 6. Using right triangle trigonometry, what is the tangent of that angle?
43
108
34
106
Correct answer: 34
The tangent is 34. By SOHCAHTOA the tangent equals the opposite side over the adjacent side, which is 8 over 6, and 8 over 6 reduces to 34. The ratios involving 10 would use the hypotenuse, which gives sine or cosine, not tangent.
Using SOHCAHTOA, in a right triangle the angle has a hypotenuse of 20 and an adjacent side of 16. What is the cosine of the angle?
54
53
45
2016 cannot be simplified
Correct answer: 54
The cosine is 54. The CAH part of SOHCAHTOA means cosine equals adjacent over hypotenuse, which is 16 over 20, and 16 over 20 reduces to 54. The sine would be 53 here, since the opposite side in this 12-16-20 triangle is 12.
Solve the inequality 5−2x≥1 for x.
x≥−2
x≤2
x≤−2
x≥2
Correct answer: x≤2
The solution is x≤2. Subtract 5 from both sides to get −2x≥−4, then divide by -2 and reverse the inequality sign because the divisor is negative, giving x≤2. Forgetting to flip the sign would wrongly produce x≥2.
A student needs an average of at least 90 on two tests. The first score is 84. Which inequality describes the second score s needed?
s≥90−84
(84+s)≥290
284+s≥90
84+s≥90
Correct answer: 284+s≥90
The correct inequality is 284+s≥90. The average of the two tests is their sum divided by 2, and that average must be at least 90, so 284+s≥90. Solving it gives s≥96, but the setup itself requires dividing the sum by 2 before comparing to 90.
Solve the system of equations: 3x+2y=16 and x=y+1. What is the value of y?
y=2
y=2.6
y=4
y=3
Correct answer: y=2.6
The value is y=2.6. Substituting x=y+1 into 3x+2y=16 gives 3(y+1)+2y=16, which is 3y+3+2y=16, so 5y=13 and y=2.6. Substitution replaces one variable using the second equation, then solves the single remaining equation.
A system of two linear equations has infinitely many solutions. What is true about the two lines?
They intersect at exactly one point
They are parallel but distinct
They are perpendicular
They are the same line
Correct answer: They are the same line
They are the same line. Infinitely many solutions occur when the two equations describe identical lines, so every point on the line satisfies both equations. Parallel-but-distinct lines have no solution, and lines crossing at one point have exactly one solution.
Using the laws of exponents, simplify x2x3⋅x5.
x10
x4
x6
x30
Correct answer: x6
The result is x6. Multiplying like bases adds the exponents (3 plus 5 is 8), and dividing subtracts them (8 minus 2 is 6), giving x6. Multiplying the exponents to reach x30 misapplies the power-of-a-power rule.
Using the laws of exponents, what is the value of 3−2?
9
91
−6
−9
Correct answer: 91
The value is 91. A negative exponent means take the reciprocal of the base raised to the positive exponent, so 3−2 equals 1 divided by 32, which is 91. A negative exponent does not make the result negative.
Simplify the expression 4(2x−3)+2(x+5).
8x+7
10x−2
10x+2
6x−2
Correct answer: 10x−2
The simplified expression is 10x−2. Distribute to get 8x minus 12 plus 2x plus 10; combining like terms gives 8x plus 2x, which is 10x, and negative 12 plus 10, which is negative 2. The result is 10x−2.
Simplify the expression 3x212x5.
4x7
4x3
4x2.5
9x3
Correct answer: 4x3
The simplified expression is 4x3. Divide the coefficients 12 over 3 to get 4, and subtract the exponents of x, 5 minus 2, to get x3, giving 4x3. Adding the exponents instead would wrongly give x7.
Factor the quadratic x2−9.
(x−3)(x+3)
(x−9)(x+1)
(x−3)(x−3)
(x+3)(x+3)
Correct answer: (x−3)(x+3)
The factored form is (x−3)(x+3). This is a difference of two squares, where x2 minus 9 equals x2 minus 3 squared, which factors as (x−3)(x+3). Using two identical factors would instead produce a middle term, which this expression lacks.
Solve the quadratic equation x2−7x+10=0 by factoring. What are its solutions?
x=−2 and x=−5
x=2 and x=−5
x=2 and x=5
x=1 and x=10
Correct answer: x=2 and x=5
The solutions are x=2 and x=5. The quadratic factors as (x−2)(x−5)=0 because 2 and 5 multiply to 10 and add to 7, so each factor set to zero gives a root. Both roots are positive because the middle term is negative and the constant is positive.
Solve the algebraic equation 2(x−4)+3x=12 for x.
x=−4
x=2
x=4
x=5
Correct answer: x=4
The solution is x=4. Distribute to get 2x minus 8 plus 3x equals 12, combine like terms to get 5x minus 8 equals 12, add 8 to get 5x equals 20, then divide by 5 to get x equals 4. Combining like terms before isolating the variable keeps the work organized.
A line passes through the points (1,5) and (4,14). Using the slope from these two points, what is the slope?
31
9
19
3
Correct answer: 3
The slope is 3. To calculate slope from two points, divide the change in y by the change in x: (14 minus 5) over (4 minus 1), which is 9 over 3, equaling 3. Using the numerator 9 alone forgets to divide by the run of 3.
A line is parallel to the line y=−3x+7. What is the slope of the parallel line?
3
31
−31
−3
Correct answer: −3
The slope is −3. Parallel lines have equal slopes, so any line parallel to y=−3x+7 must also have a slope of -3. The negative reciprocal 31 would instead describe a line perpendicular to the given one.
A theater sells adult tickets for 15 dollars and child tickets for 9 dollars. One evening 200 tickets are sold for a total of 2400 dollars. How many adult tickets were sold?
80
150
120
100
Correct answer: 100
There were 100 adult tickets sold. Let a be adult tickets and 200 minus a be child tickets, so 15a + 9(200 - a) = 2400, which simplifies to 6a + 1800 = 2400, giving 6a = 600 and a = 100. Translating the word problem into one equation with the total count and total value is the key step.
A photo that is 4 inches wide and 6 inches tall is enlarged so its width becomes 10 inches. Keeping the same proportions, what is the new height?
14 inches
12 inches
15 inches
16 inches
Correct answer: 15 inches
The new height is 15 inches. The original ratio of width to height is 4 to 6, so set up the proportion 4 over 6 equals 10 over the new height; cross-multiplying gives 4 times the height equals 60, so the height is 15. Ratio and proportion word problems are solved by setting equal fractions and cross-multiplying.
The interior angles of a quadrilateral are 95, 100, and 80 degrees, with one unknown angle. What is the unknown angle?
95 degrees
85 degrees
90 degrees
75 degrees
Correct answer: 85 degrees
The unknown angle is 85 degrees. The interior angles of any quadrilateral sum to 360 degrees, so the missing angle is 360 minus 95 minus 100 minus 80, which equals 85. Using the triangle sum of 180 instead of the quadrilateral sum of 360 is a common error.
In a triangle, the three angles are in the ratio 2 to 3 to 4. What is the measure of the smallest angle?
40 degrees
80 degrees
60 degrees
30 degrees
Correct answer: 40 degrees
The smallest angle is 40 degrees. The ratio parts total 2 plus 3 plus 4, which is 9, and the angles sum to 180 degrees, so each part is 180 divided by 9, or 20 degrees. The smallest angle is 2 parts, so 2 times 20 equals 40 degrees.
What is the perimeter of a rectangle that is 9 units long and 4 units wide?
26 units
13 units
22 units
36 units
Correct answer: 26 units
The perimeter is 26 units. The perimeter of a rectangle is twice the length plus twice the width, which is 2 times 9 plus 2 times 4, or 18 plus 8, equaling 26. Multiplying the length by the width gives the area of 36, not the perimeter.
A square has an area of 49 square units. What is its perimeter?
196 units
49 units
14 units
28 units
Correct answer: 28 units
The perimeter is 28 units. The side length is area, so the side is 49, which is 7, and the perimeter is 4 times 7, or 28. Confusing perimeter with area would lead to keeping 49.
What is the volume of a rectangular box with length 5, width 3, and height 4 units?
47 cubic units
60 cubic units
12 cubic units
23 cubic units
Correct answer: 60 cubic units
The volume is 60 cubic units. The volume of a rectangular box is length times width times height, which is 5 times 3 times 4, or 60. Adding the dimensions instead of multiplying would give 12, not the volume.
What is 30 percent of 250?
75
83
70
30
Correct answer: 75
The answer is 75. To find a percent of a number, convert the percent to a decimal and multiply: 0.30 times 250 equals 75. Equivalently, 30 percent is the fraction 30 over 100, and 30 over 100 of 250 is 75.
A jacket originally priced at 80 dollars is discounted by 25 percent. What is the sale price?
60 dollars
55 dollars
65 dollars
20 dollars
Correct answer: 60 dollars
The sale price is 60 dollars. A 25 percent discount removes 0.25 times 80, which is 20 dollars, from the original price, leaving 80 minus 20, or 60. Subtracting the percent itself rather than the dollar amount it represents is a common mistake.
What is the value of the expression 18 divided by (3 + 3) times 2, using the order of operations?
12
6
1.5
3
Correct answer: 6
The value is 6. The order of operations evaluates the parentheses first, giving 3 plus 3 equals 6, then multiplication and division left to right: 18 divided by 6 is 3, and 3 times 2 is 6. Multiplying before dividing would incorrectly give 1.5.
In an arithmetic sequence the first term is 4 and each term increases by 5. What is the value of the sixth term?
29
30
24
34
Correct answer: 29
The sixth term is 29. In an arithmetic sequence the nth term equals the first term plus (n minus 1) times the common difference, so the sixth term is 4 plus 5 times 5, which is 4 plus 25, or 29. Multiplying by 6 instead of 5 (n minus 1) would wrongly give 34.
The average of five numbers is 12. Four of the numbers are 8, 10, 14, and 16. What is the fifth number?
10
11
13
12
Correct answer: 12
The fifth number is 12. The sum of all five numbers is 5 times the average, which is 5 times 12, or 60, and the four known numbers total 8 plus 10 plus 14 plus 16, which is 48, so the fifth number is 60 minus 48, or 12. Working from the total rather than re-averaging avoids error.
For the function f(x)=2x+5, what is the value of f(−3)?
−11
−1
11
1
Correct answer: −1
The value is −1. Substituting x equals -3 into f(x)=2x+5 gives 2 times -3 plus 5, which is -6 plus 5, or -1. Forgetting the sign and computing 6 plus 5 would wrongly give 11.
For the functions f(x)=x+2 and g(x)=3x, what is the value of f(g(2))?
8
12
6
10
Correct answer: 8
The value is 8. First evaluate the inner function g(2), which is 3 times 2, or 6, then apply f to that result: f(6) equals 6 plus 2, or 8. Composition works from the inside out, so g is evaluated before f.
A bag contains 3 red marbles and 5 blue marbles. If one marble is drawn at random, what is the probability it is red?
85
31
53
83
Correct answer: 83
The probability is 83. Probability equals the number of favorable outcomes over the total number of outcomes, and there are 3 red marbles out of 8 total marbles, giving 3 over 8. Using 3 over 5 wrongly compares red to blue rather than red to the total.
Use the quadratic formula to solve 6x2+x−2=0. What are its two solutions?
x=21 and x=−32
x=2 and x=−31
x=−21 and x=32
x=31 and x=−2
Correct answer: x=21 and x=−32
The solutions are x=21 and x=−32. The quadratic formula is x equals negative b plus or minus b2−4ac, all over 2a. With a=6, b=1, c=−2, the discriminant is 1 plus 48, or 49, whose square root is 7, so x equals (-1 plus or minus 7) over 12, giving 126=21 or 12−8=−32. Reversing the signs of both roots produces the tempting wrong pair.
Using the quadratic formula, what are the solutions to x2−6x+7=0, an equation that does not factor over the integers?
x=3+8 and x=3−8
x=3+2 and x=3−2
x=−3+2 and x=−3−2
x=6+2 and x=6−2
Correct answer: x=3+2 and x=3−2
The solutions are x=3±2. With a=1, b=−6, c=7, the discriminant is 36 minus 28, or 8, so x equals (6±8) over 2. Since 8 equals 22, dividing by 2 leaves 3±2. Leaving the radical unsimplified as 8 gives the unreduced trap form.
A right triangle has legs of length 20 and 21. According to the Pythagorean theorem, what is the length of the hypotenuse?
28
41
30
29
Correct answer: 29
The hypotenuse is 29. The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the legs, so 20 squared plus 21 squared is 400 plus 441, which equals 841, and 841 is 29. The numbers 20, 21, 29 form a Pythagorean triple; adding the legs to get 41 ignores the theorem.
A ladder leans against a wall, reaching a point 12 feet up the wall, with its base 5 feet from the wall. Using the Pythagorean theorem, how long is the ladder?
17 feet
14 feet
11 feet
13 feet
Correct answer: 13 feet
The ladder is 13 feet long. The wall, ground, and ladder form a right triangle in which the ladder is the hypotenuse, so its length is 122+52, which is 144+25, or 169, equaling 13. The set 5, 12, 13 is a familiar Pythagorean triple; adding 12 and 5 to get 17 ignores the theorem.
What is the distance between the points (−6,3) and (2,−3) in the coordinate plane?
8
28
10
14
Correct answer: 10
The distance is 10. The distance formula gives (2−(−6))2+(−3−3)2, which is 82+(−6)2, or 64+36, equaling 100, which is 10. The horizontal change of 8 and vertical change of 6 form a 6-8-10 right triangle.
A line has slope −32 and crosses the y-axis at 4. Written in slope-intercept form, what is its equation?
y=4x−32
y=32x+4
y=−32x+4
y=−32x−4
Correct answer: y=−32x+4
The equation is y=−32x+4. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. The slope is −32 and the y-intercept is 4, so substituting directly gives y equals negative two-thirds x plus 4. Swapping the slope and intercept produces the incorrect y=4x−32.
A line passes through the points (−5,2) and (7,−4). Using the slope formula, what is its slope?
−21
21
6
−2
Correct answer: −21
The slope is −21. The slope formula is the change in y divided by the change in x, which is (negative 4 minus 2) over (7 minus negative 5), or negative 6 over 12, equaling negative one-half. A common error is mishandling the negative in the denominator, since 7 minus negative 5 is 12, not 2.
Solve the linear equation 4(x+1)=2x+14 for x.
5
9
3
7
Correct answer: 5
The value of x is 5. Distributing gives 4x plus 4 equals 2x plus 14; subtracting 2x from both sides gives 2x plus 4 equals 14, subtracting 4 gives 2x equals 10, and dividing by 2 gives x equals 5. Solving a linear equation in one variable means collecting variable terms on one side and constants on the other, then isolating the variable.
A triangle has a base of 25 units and a corresponding height of 8 units. What is its area?
200 square units
100 square units
50 square units
33 square units
Correct answer: 100 square units
The area is 100 square units. The area of a triangle is one-half times base times height, so one-half times 25 times 8 equals one-half of 200, which is 100. Forgetting the one-half factor gives 200, and adding the base and height gives 33.
Which set of three positive integers is a Pythagorean triple?
12, 35, 37
9, 16, 25
10, 24, 27
11, 13, 17
Correct answer: 12, 35, 37
The set 12, 35, 37 is a Pythagorean triple because the sum of the squares of the two smaller numbers equals the square of the largest: 144 plus 1225 is 1369, which is 37 squared. A Pythagorean triple is three whole numbers that can be the sides of a right triangle. The set 10, 24, 27 fails because 100 plus 576 is 676, not 729.
In a 45-45-90 special right triangle, each leg measures 9 units. What is the length of the hypotenuse?
18
4.5
93
92
Correct answer: 92
The hypotenuse is 92. In a 45-45-90 triangle the two legs are equal, and the side ratio is 1:1:2, so the hypotenuse equals a leg multiplied by 2. Doubling the leg to get 18 misapplies the rule, and 93 belongs to a 30-60-90 triangle.
A circle has a radius of 9 units. Using the formula for the area of a circle, what is its area in terms of pi?
9 pi square units
162 pi square units
81 pi square units
18 pi square units
Correct answer: 81 pi square units
The area is 81 pi square units. The area of a circle is pi times the radius squared, so with a radius of 9 the area is pi times 81, or 81 pi. The value 18 pi confuses area with circumference, which is 2 pi r and would equal 18 pi for this circle.
Solve the system of equations 2x+5y=11 and 2x+3y=5. What is the value of y?
5
2
3
−2
Correct answer: 3
The value of y is 3. Subtracting the second equation from the first eliminates x: (2x+5y)−(2x+3y) gives 2y equals 6, so y equals 3, and substituting back gives x equals -2. Subtraction works here because both equations have the same 2x term, which cancels.
Solve the inequality −3x+2≤11. Which describes all the solutions?
x≤−3
x≥3
x≤3
x≥−3
Correct answer: x≥−3
The solution is x≥−3. Subtracting 2 from both sides gives −3x≤9, and dividing both sides by the negative number -3 reverses the inequality sign, giving x≥−3. Forgetting to flip the sign when dividing by a negative would incorrectly produce x≤−3.
A line is given by the equation 5x+2y=10. What is the slope of this line?
5
−25
−2
25
Correct answer: −25
The slope is −25. Solving for y gives 2y equals negative 5x plus 10, so y equals negative five-halves x plus 5, which is slope-intercept form with slope −25. The coefficient 5 in front of x in the original standard form is not the slope until the equation is rearranged.
Using the laws of exponents, what is the simplified value of x3x6⋅x−2?
x
x5
x11
x−1
Correct answer: x
The result is x, which is x to the first power. Multiplying powers with the same base adds the exponents (6 plus negative 2 is 4), and dividing subtracts them (4 minus 3 is 1), giving x to the first power. Ignoring the negative sign on the exponent -2 would wrongly give x5.
In a right triangle, an angle has an opposite side of length 9 and a hypotenuse of length 15. What is the sine of that angle?
35
53
54
43
Correct answer: 53
The sine is 53. In right triangle trigonometry, the sine of an angle equals the length of the side opposite the angle divided by the hypotenuse, which here is 9 over 15, and 9 over 15 reduces to 53. The value 54 would be the cosine, since the adjacent side is 12, and 43 would be the tangent.
Which expression is the fully simplified form of 2(3x−1)−4(x−2)?
6x+6
2x+6
2x−10
2x−6
Correct answer: 2x+6
The simplified form is 2x+6. Distributing gives 6x minus 2 minus 4x plus 8; combining like terms yields 6x minus 4x, which is 2x, and negative 2 plus 8, which is 6. A frequent error is mishandling the minus sign on the second term, which would wrongly produce 2x−10.
Using SOHCAHTOA, which ratio correctly represents the sine of an angle in a right triangle?
Opposite divided by hypotenuse
Opposite divided by adjacent
Hypotenuse divided by opposite
Adjacent divided by hypotenuse
Correct answer: Opposite divided by hypotenuse
Sine equals the opposite side divided by the hypotenuse. The mnemonic SOHCAHTOA stands for Sine = Opposite over Hypotenuse, Cosine = Adjacent over Hypotenuse, and Tangent = Opposite over Adjacent. The ratio adjacent over hypotenuse is the cosine, and opposite over adjacent is the tangent.
Which is the correct factored form of the quadratic x2+2x−15?
(x+15)(x−1)
(x−5)(x+3)
(x+5)(x+3)
(x+5)(x−3)
Correct answer: (x+5)(x−3)
The factored form is (x+5)(x−3). To factor a quadratic of the form x2+bx+c, find two numbers that multiply to c and add to b; here 5 and -3 multiply to -15 and add to 2. The pair -5 and 3 also multiplies to -15 but adds to -2, so it matches the wrong middle term.
Solve the algebraic equation 43x−1=5 for x.
8
21
7
3
Correct answer: 7
The value of x is 7. Multiplying both sides by 4 clears the fraction, giving 3x minus 1 equals 20; adding 1 gives 3x equals 21, and dividing by 3 gives x equals 7. Solving algebraic equations efficiently often starts by clearing the denominator before isolating the variable.
In a 30-60-90 special right triangle, the hypotenuse measures 20. What is the length of the longer leg, opposite the 60-degree angle?
10
203
102
103
Correct answer: 103
The longer leg is 103. In a 30-60-90 triangle the side ratio is 1:3:2, where the hypotenuse is twice the shorter leg. The shorter leg is half of 20, or 10, and the longer leg equals the shorter leg times 3, giving 103. The value 10 is the shorter leg, not the longer leg.
The angles of a triangle are in the ratio 1 to 2 to 3. Based on the properties of triangles, what is the measure of the largest angle?
90 degrees
30 degrees
60 degrees
120 degrees
Correct answer: 90 degrees
The largest angle is 90 degrees. The three interior angles of a triangle sum to 180 degrees, and the ratio parts total 1 plus 2 plus 3, which is 6, so each part equals 180 divided by 6, or 30 degrees. The largest angle is 3 parts, so 3 times 30 equals 90 degrees, making this a right triangle.
A line passes through the points (3, -2) and (3, 5). What slope is calculated from these two points?
7/3
The slope is undefined
0
3/7
Correct answer: The slope is undefined
The slope is undefined. To calculate slope from two points, divide the change in y by the change in x: (5 minus negative 2) over (3 minus 3), which is 7 over 0, and division by zero is undefined. Because both points share the same x-coordinate, the line is vertical, and vertical lines always have undefined slope.
A coffee blend mixes beans worth 8 dollars per pound with beans worth 14 dollars per pound to make 30 pounds of blend worth 10 dollars per pound. To solve this word problem, how many pounds of the 8-dollar beans are used?
12 pounds
20 pounds
10 pounds
18 pounds
Correct answer: 20 pounds
The blend uses 20 pounds of the 8-dollar beans. Letting x be the pounds of 8-dollar beans and 30 minus x the pounds of 14-dollar beans, the value equation is 8x plus 14 times (30 minus x) equals 10 times 30, which simplifies to negative 6x plus 420 equals 300, so 6x equals 120 and x equals 20. The skill is translating the total-value relationship into one equation.
A paint mixture requires red and white in a ratio of 3 to 7. To make 50 quarts of this mixture, how many quarts of white paint are needed?
30 quarts
21 quarts
15 quarts
35 quarts
Correct answer: 35 quarts
The mixture needs 35 quarts of white. The ratio parts total 3 plus 7, which is 10, so each part equals 50 divided by 10, or 5 quarts. White is 7 parts, so 7 times 5 equals 35 quarts. Ratio and proportion word problems are solved by finding the value of one part and multiplying by the number of parts.
Solve the quadratic equation x2+8x+15=0 by factoring. What are its solutions?
x=3 and x=−5
x=3 and x=5
x=−3 and x=5
x=−3 and x=−5
Correct answer: x=−3 and x=−5
The solutions are x=−3 and x=−5. The quadratic factors as (x+3)(x+5)=0 because 3 and 5 multiply to 15 and add to 8, so each factor set to zero gives x equals -3 or x equals -5. Both roots are negative because the middle and last terms are both positive.
Using the laws of exponents, what is the simplified form of (2x2⋅y3)3?
8x5⋅y6
6x6⋅y9
2x6⋅y9
8x6⋅y9
Correct answer: 8x6⋅y9
The result is 8x6⋅y9. When raising a product to a power, raise each factor to that power: 2 cubed is 8, x2 cubed multiplies the exponents to give x6, and y3 cubed gives y9. Forgetting to cube the coefficient 2 leaves the incorrect 2x6⋅y9, and multiplying 2 by 3 instead of cubing gives the wrong 6.
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A sphere has a radius of 6 units. What is the volume of the sphere?
Pick an answer to see the explanation
Click Start Test above to launch a full-length CLT practice test weighted across all three sections, or drill a single section — Verbal Reasoning, Grammar and Writing, or Quantitative Reasoning. Every question includes a clear explanation so you learn the reasoning, not just the answer.
The Classic Learning Test (CLT), published by the testing company of the same name, is a college-admissions exam positioned as an alternative to the SAT and ACT.
Founded in 2015, the CLT draws its reading passages from classic literature, philosophy, and foundational texts and emphasizes reasoning over memorization.
[1] The college-entrance CLT is built for 11th and 12th graders (separate CLT10 and CLT3-8 versions serve younger students) and is accepted by hundreds of colleges and universities — including, since 2023, all public universities in several states plus the U.S. service academies.
[5] The exam has three multiple-choice sections — Verbal Reasoning, Grammar and Writing, and Quantitative Reasoning — taken in a single two-hour sitting with short breaks between sections.
Our practice mix covers all three sections so you can prepare for the full test, and you can pair it with our free study guide, flashcards.
No limit — register and pay again for each attempt; scores typically returned within about 10 days
What Is on the CLT?
The CLT has three equally weighted multiple-choice sections — Verbal Reasoning, Grammar and Writing, and Quantitative Reasoning — each with 40 questions for a 120-question total.[1]
Verbal Reasoning measures reading comprehension and analysis using passages drawn from classic literature, philosophy, and other foundational texts.
Grammar and Writing tests sentence structure, word usage, and logical, effective written expression. Quantitative Reasoning covers algebra, geometry, and data interpretation with an emphasis on problem-solving and logic rather than memorized formulas (no calculator is permitted).
Because each section carries the same 40 questions, our practice mix splits roughly evenly across the three — about a third each:
CLT weighting by section
Verbal Reasoning33% · 40 Qs
Grammar/Writing33% · 40 Qs
Quantitative Reasoning33% · 40 Qs
Practice Questions by Section
Use Start Test for a full CLT simulation across all three sections, or open the hub and pick a single section to drill your weak area. After each full exam, your results show a per-section breakdown so you know exactly where to focus — many students need the most reps on Verbal Reasoning passages and no-calculator math.
Who Can Take the CLT?
The college-entrance CLT is designed for 11th and 12th graders (roughly ages 16–18), but Classic Learning Test (CLT) does not impose strict eligibility limits — high school graduates planning to apply to college and other students may also register.[2]
Younger students take the CLT10 (9th–10th grade) or CLT3-8 versions instead. There are no GPA minimums or prerequisites, and accommodations are available for students with documented needs.
How Do You Register for the CLT?
You register for the CLT at cltexam.com by creating a free account, then choosing a remotely proctored exam to take at home on your own computer; for in-school testing, your partner school registers you (only schools can register students for in-school tests).
The remotely proctored CLT costs $112 as of June 1, 2026 and includes student analytics and unlimited score sharing; the CLT3-8 is $39.[3] Remotely proctored exams are available from 7:00am to 7:00pm Eastern Time on test day. To retest, simply register and pay again for each attempt.
How Is the CLT Scored?
The CLT is scored on a 1–120 composite scale with no pass/fail: each of the three sections — Verbal Reasoning, Grammar and Writing, and Quantitative Reasoning — is scored on a 1–40 scale, and the three combine into the composite colleges see.
[1] Each question is worth one point and there is no penalty for wrong answers, so you should answer every question; answering 100 questions correctly yields a score of 100, and 120 is the maximum. There is no pass/fail line. Scores are typically reported within about ten days of the test.
How Hard Is the CLT?
There is no pass/fail on the CLT — it is a competitive, scaled score reported to colleges. Rather than a passing threshold, your goal is a composite (1–120) that meets or exceeds the ranges your target colleges report and qualifies you for the scholarships you’re pursuing.
[5] Higher composites strengthen admissions and merit-aid prospects, so aim for the upper end of the range your prospective schools publish.
The real challenge is sustained reasoning across three subjects in a single two-hour sitting: older Verbal Reasoning passages can slow careful readers, and no calculator is allowed on the math.
1–120
Composite score range
no pass/fail line
120
Questions total
40 per section
~2 hrs
Total test time
three timed sections
The takeaway: drill until you’re consistently hitting your target composite on full-length practice — especially Verbal Reasoning and no-calculator math — before you book your test date.
What to Expect on Exam Day
Most students take the CLT through remote proctoring at home on their own computer; exams run from 7:00am to 7:00pm Eastern Time on test day, so you pick a start time that suits you.[4]You’ll verify your identity, set up your webcam, and clear your workspace before a live proctor begins the session.
The test runs about two hours across three timed sections — Verbal Reasoning (40 minutes), Grammar and Writing (35 minutes), and Quantitative Reasoning (45 minutes) — with short breaks between them.
No calculator is allowed on the math section, so keep paper or a whiteboard handy for clean arithmetic. If you test in-school through a partner school, expect a similar structure in a supervised room. Scores are typically returned within about ten days.
Having simulated the full timing with practice tests makes that clock feel routine.
How to Use This CLT Practice Test
Recreate exam conditions. Take the full test timed, with no calculator and no notes.
Diagnose, then drill. Use a full CLT simulation to find weak sections, then drill them.
Build reading stamina. Practice dense, classic-style passages until they feel familiar.
Learn the why. Read every explanation — understanding beats memorizing.
Answer everything. There’s no guessing penalty, so never leave a question blank.
Why the CLT Matters
For college admissions, a strong CLT composite can open doors at hundreds of accepting schools and unlock merit scholarships — and since 2023 it is recognized for admission to public universities in several states and by the U.S. service academies.[5] For students drawn to a classical, reasoning-first approach, the CLT is a compelling alternative to the SAT and ACT, and these free practice tests are the most efficient way to raise your score.
Conclusion
A great CLT score comes down to confident reading of classic passages, sharp grammar and writing judgment, and clean no-calculator math. Use this free CLT practice test to find your weak sections, then reinforce them with our study guide, flashcards to drill them to mastery, and walk in ready to post your best composite.
CLT Practice Test FAQ
The college-entrance CLT has three multiple-choice sections: Verbal Reasoning, Grammar and Writing, and Quantitative Reasoning. Each section has 40 questions for a 120-question total. Verbal Reasoning is allotted 40 minutes, Grammar and Writing 35 minutes, and Quantitative Reasoning 45 minutes, with short breaks between sections. We offer all three sections as practice drills.
The CLT is scored on a 1–120 composite scale: each of the three sections is scored 1–40, and the section scores combine into the total composite. Every question is worth one point, and there is no penalty for wrong answers — so answer every question. Answering 100 questions correctly gives you a 100, with 120 being the maximum possible score. There is no pass/fail; scores are usually returned within about ten days.
Yes. Hundreds of colleges and universities in the U.S. and abroad accept the CLT, with the list tilting toward private, liberal-arts, and faith-based institutions. Since 2023, Florida and several other states have approved the CLT for admission to their public universities, and the U.S. service academies accept it as well. Always confirm acceptance with your specific target schools.
The CLT is positioned as a classical alternative to the SAT and ACT. Its Verbal Reasoning passages draw heavily from classic literature, philosophy, and foundational texts, and the test emphasizes reasoning over memorization. It has three sections instead of four, no required essay, and runs about two hours. Acceptance is broad but not universal, so check whether your target colleges take the CLT.
As of June 1, 2026, the remotely proctored college-entrance CLT costs $112, which includes student analytics and unlimited score sharing. (The fee was previously $69 before the 2026 increase.) The CLT3-8 version for younger students costs $39. In-school testing is arranged through partner schools, which register their own students.
There is no limit on CLT attempts — you can retake the exam as often as you like, registering and paying the fee for each attempt. Because scores are returned within roughly ten days and the test runs about two hours, many students sit for it more than once to improve their composite before submitting scores to colleges.
No calculator is allowed on the Quantitative Reasoning section — the math emphasizes problem-solving and logic over memorized formulas, so keep paper or a whiteboard handy for clean arithmetic. Most students take the CLT remotely proctored at home on their own computer, where you verify your identity, set up your webcam, and clear your workspace before a live proctor begins; no outside notes or reference materials are permitted. In-school testing through a partner school follows a similar supervised structure.
The best way to study for the CLT is to take a full-length, timed practice test to find your weak sections, drill them, and read every explanation so you learn the reasoning behind each answer — then retake the practice test to confirm your target composite before test day. Because the three sections are equally weighted and the CLT emphasizes reasoning over memorization, build reading stamina with dense, classic-style passages for Verbal Reasoning, sharpen sentence-structure and usage judgment for Grammar and Writing, and practice no-calculator algebra, geometry, and data interpretation for Quantitative Reasoning.
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