Test for Admission into Catholic High Schools (TACHS) — Questions and Answers

Question 1: If a rectangle has a length of 12 and a perimeter of 40, what is its width?

6
7
10
8 (Correct answer)

Correct answer: 8

Perimeter = 2(length + width), so 40 = 2(12 + w) → 20 = 12 + w → w = 8.

Question 2: Which reading skill involves stepping back to evaluate the reliability of an author's claims?

Critical reading (Correct answer)
Skimming
Scanning
Fluency

Correct answer: Critical reading

Critical reading involves analyzing, questioning, and evaluating the author's arguments, evidence, and credibility.

Question 3: Which sentence uses correct punctuation?

We went to the store, but we forgot the milk. (Correct answer)
We went to the store, but forgot the milk
We went to the store but forgot the milk
We went to the store but, we forgot the milk.

Correct answer: We went to the store, but we forgot the milk.

When joining two independent clauses with a coordinating conjunction like 'but,' place a comma before the conjunction.

Question 4: Complete the analogy: Thermometer is to Temperature as Scale is to ___.

Height
Weight (Correct answer)
Music
Speed

Correct answer: Weight

A thermometer measures temperature, just as a scale measures weight.

Question 5: What number is missing from this sequence: 1, 4, 9, 16, ___, 36?

30
24
25 (Correct answer)
20

Correct answer: 25

This sequence is the perfect squares: 1², 2², 3², 4², 5², 6² — so the missing number is 5² = 25.

Question 6: Which sentence contains a capitalization error?

We visited New York City last summer.
The Mississippi River flows south.
Dr. Martinez was our teacher.
My favorite subject is Science. (Correct answer)

Correct answer: My favorite subject is Science.

Common school subjects like 'science' are not proper nouns and should not be capitalized unless they are a specific course name.

Question 7: A number sequence follows the rule 'multiply by 3 then subtract 1.' Starting with 2, what is the third term?

20
17 (Correct answer)
14
15

Correct answer: 17

Start: 2 → (2×3)−1 = 5 → (5×3)−1 = 14... Wait: the third term is 14. Let me recount: 2 is term 1, 5 is term 2, 14 is term 3.

Question 8: Identify the type of sentence: 'Please close the door when you leave.'

Interrogative
Imperative (Correct answer)
Declarative
Exclamatory

Correct answer: Imperative

An imperative sentence gives a command or makes a request, and the subject 'you' is often understood but not stated.

Question 9: Five red balls, three white balls, and two yellow balls belong to a kid. How many yellow balls are there in total?

5%
20% (Correct answer)
15%
10%

Correct answer: 20%

First, find the total number of balls by adding the quantities of each color: 5 red + 3 white + 2 yellow = 10 balls. There are 2 yellow balls. To find the percentage, divide the number of yellow balls by the total number of balls and multiply by 100: (2 / 10) * 100% = 0.2 * 100% = 20%.

Question 10: Complete the analogy: Cub is to Bear as Lamb is to ___.

Cow
Dog
Horse
Sheep (Correct answer)

Correct answer: Sheep

A cub is the young of a bear, just as a lamb is the young of a sheep.

Question 11: In the sentence 'The coach gave an impartial assessment of all players,' 'impartial' means:

Heavily biased toward one side
Fair and not favoring either side (Correct answer)
Extremely detailed
Incomplete and unfinished

Correct answer: Fair and not favoring either side

'Impartial' means treating all sides equally and fairly, without favoritism.

Question 12: A passage says: 'Despite the storm, Maria arrived on time.' The word 'despite' signals:

A sequence of events
A definition
A contrast or unexpected result (Correct answer)
A cause-and-effect relationship

Correct answer: A contrast or unexpected result

'Despite' signals a contrast, showing that the result (arriving on time) happened even though you would not expect it given the storm.

Question 13: The word 'eloquent' best describes a speaker who is:

Fluent and persuasive in speech (Correct answer)
Brief and unhelpful
Loud and aggressive
Confused and hesitant

Correct answer: Fluent and persuasive in speech

'Eloquent' means expressing ideas clearly, effectively, and in a persuasive or moving way.

Question 14: In vocabulary, a 'synonym' is a word that:

Sounds the same as another word
Means the opposite of another word
Has nearly the same meaning as another word (Correct answer)
Comes before another word in the dictionary

Correct answer: Has nearly the same meaning as another word

A synonym is a word with a meaning that is the same or very similar to another word.

Question 15: The word 'concise' means:

Repetitive and dull
Confusing and unclear
Long and detailed
Short and to the point (Correct answer)

Correct answer: Short and to the point

'Concise' means giving a lot of information clearly in a few words without unnecessary detail.

Question 16: Which sentence uses the most vivid and precise language?

The dog went out fast somewhere.
The dog went somewhere outside.
The golden retriever bolted through the open gate into the street. (Correct answer)
The animal moved outside quickly.

Correct answer: The golden retriever bolted through the open gate into the street.

Specific details like 'golden retriever,' 'bolted,' and 'through the open gate' create a clear, vivid image.

Question 17: Which of these is a sentence fragment?

The cat slept on the warm rug.
Running through the park at dawn. (Correct answer)
Maria finished her homework.
We arrived early for the show.

Correct answer: Running through the park at dawn.

'Running through the park at dawn' is a fragment because it lacks a main subject performing a complete action.

Question 18: Choose the antonym of 'abundant':

Scarce (Correct answer)
Plentiful
Overflowing
Generous

Correct answer: Scarce

'Abundant' means existing in large quantities, so its antonym is 'scarce,' meaning in very short supply.

Question 19: If 5 pencils cost $1.25, what is the cost of one pencil?

$0.50
$0.25 (Correct answer)
$0.20
$0.30

Correct answer: $0.25

$1.25 ÷ 5 = $0.25.

Question 20: On a multiple-choice test like the TACHS, 'distractors' are:

Incorrect answer choices designed to seem plausible (Correct answer)
Bonus questions worth extra points
Words in the question you should ignore
Noises in the testing room

Correct answer: Incorrect answer choices designed to seem plausible

Distractors are the wrong answer choices on a multiple-choice test, crafted to appeal to students who have partial knowledge.

Question 21: What does the acronym TACHS stand for?

Theological and Academic Catholic High School
Test for Advanced Catholic High School Students
Total Academic Catholic High School Survey
Test for Admission into Catholic High Schools (Correct answer)

Correct answer: Test for Admission into Catholic High Schools

TACHS stands for Test for Admission into Catholic High Schools, used for entrance into select Catholic high schools in New York.

Question 22: Marjorie put $5,000 into a savings account at the start of 2009. The account pays an annual interest rate of 4%. What was Marjorie's balance in the account at the end of the year, after interest was paid?

$ 6,500
$4,500
$5,500
$5,200 (Correct answer)

Correct answer: $5,200

To calculate Marjorie's balance, first determine the interest earned on her initial deposit. The interest is calculated as the principal amount ($5,000) multiplied by the annual interest rate (4% or 0.04) for one year. This yields $5,000 * 0.04 = $200 in interest. Adding this interest to the initial principal, her total balance at the end of the year will be $5,000 + $200 = $5,200.

Question 23: Complete the analogy: Pen is to Write as Knife is to ___.

Cook
Metal
Sharpen
Cut (Correct answer)

Correct answer: Cut

A pen is used to write, just as a knife is used to cut.

Question 24: A bag has 5 red, 3 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is red?

1/5
5/10 (Correct answer)
1/2
3/10

Correct answer: 5/10

There are 10 marbles total, and 5 are red, so the probability is 5/10 = 1/2.

Question 25: A TACHS passage describes events in the order they happened. This structure is called:

Compare and contrast
Persuasive
Chronological (Correct answer)
Descriptive

Correct answer: Chronological

Chronological structure presents events in time order, often using signal words like 'first,' 'then,' and 'finally.'

Question 26: A student's essay shifts from past tense to present tense mid-paragraph. This is an example of:

An advanced stylistic choice
Inconsistent verb tense, which confuses the reader (Correct answer)
Correct narrative technique
Proper use of flashback

Correct answer: Inconsistent verb tense, which confuses the reader

Consistent verb tense is essential for clear writing; randomly shifting tenses confuses the reader about when events occur.

Question 27: If all Blips are Blops, and all Blops are Blaps, which statement must be true?

No Blips are Blaps
Some Blops are not Blaps
All Blips are Blaps (Correct answer)
All Blaps are Blips

Correct answer: All Blips are Blaps

Since Blips → Blops and Blops → Blaps, by transitivity all Blips must also be Blaps.

Question 28: Solve for x as follows: 5x+12=7x+2

x = 6
x = 1
x = 3
x = 5 (Correct answer)

Correct answer: x = 5

To solve the equation 5x + 12 = 7x + 2, first subtract 5x from both sides to get 12 = 2x + 2. Next, subtract 2 from both sides, resulting in 10 = 2x. Finally, divide both sides by 2 to isolate x, which gives x = 5.

Question 29: Which study habit is most effective in the weeks before the TACHS?

Rereading notes without practicing questions
Studying all subjects for 8 hours straight on weekends only
Short, daily study sessions covering all four TACHS sections (Correct answer)
Studying only the subjects you already feel confident about

Correct answer: Short, daily study sessions covering all four TACHS sections

Short, consistent daily practice across all subjects builds retention and prevents burnout better than marathon cramming sessions.

Question 30: Choose the word most similar in meaning to 'diligent':

Passive
Hardworking (Correct answer)
Reckless
Careless

Correct answer: Hardworking

'Diligent' means showing steady, careful effort and hard work.

Question 31: Which sentence demonstrates the most formal writing style appropriate for an essay?

Recess is great and stuff, you know?
Kids should totally get more recess 'cause it's way more fun.
More recess would be awesome for everyone.
Students would benefit greatly from additional recess time. (Correct answer)

Correct answer: Students would benefit greatly from additional recess time.

Formal writing avoids slang, contractions, and casual language — it uses precise vocabulary and complete sentences.

Question 32: Complete the analogy: Proud is to Humble as Generous is to ___.

Brave
Honest
Selfish (Correct answer)
Kind

Correct answer: Selfish

Proud and humble are antonyms, just as generous and selfish are antonyms.

Question 33: When reading a TACHS passage, you should first:

Skim the questions, then read the passage with purpose (Correct answer)
Read only the first and last sentences of the passage
Guess all answers before reading
Read all the answer choices before reading the passage

Correct answer: Skim the questions, then read the passage with purpose

Previewing the questions first helps you read with a purpose, making it easier to locate relevant information in the passage.

Question 34: Which word is a synonym for 'apprehensive'?

Confident
Joyful
Grateful
Anxious (Correct answer)

Correct answer: Anxious

'Apprehensive' means feeling worried or fearful about what might happen, similar to 'anxious.'

Question 35: Calculate the value of x. x/4 + 12 = 22

30
40 (Correct answer)
45
130

Correct answer: 40

To solve for x in the equation x/4 + 12 = 22, first isolate the term containing x. Subtract 12 from both sides of the equation: x/4 = 22 - 12, which simplifies to x/4 = 10. Next, to find x, multiply both sides of the equation by 4. This yields x = 10 * 4, so x = 40.

Question 36: Amy wishes to wallpaper her room, which consists of four rectangular walls measuring 15 feet by 12 feet each. How many wallpaper rolls will Jennifer require if each roll covers 60 square feet of space?

12 (Correct answer)
9
6
7

Correct answer: 12

First, calculate the area of one wall: 15 feet * 12 feet = 180 square feet. Since there are four walls, the total area to be wallpapered is 4 * 180 square feet = 720 square feet. Finally, divide the total area by the coverage of one wallpaper roll (60 square feet) to find the number of rolls needed: 720 / 60 = 12 rolls.

Question 37: Which revision best improves the vague sentence: 'She did a lot of good things for the school'?

She was good and helpful at school.
She did many things for the school that were good.
She organized three fundraisers and improved the school library. (Correct answer)
The school was helped by her a lot.

Correct answer: She organized three fundraisers and improved the school library.

Specific details make writing stronger — naming the exact actions (fundraisers, library) is far more effective than vague phrases.

Question 38: As an improper fraction, express the mixed number 2 1/3.

7/3 (Correct answer)
5/3
4/3
8/3

Correct answer: 7/3

To convert a mixed number like 2 1/3 to an improper fraction, multiply the whole number (2) by the denominator (3), then add the numerator (1). This sum becomes the new numerator, while the denominator remains the same. So, (2 * 3) + 1 = 7, making the improper fraction 7/3.

Question 39: The word 'meticulous' most nearly means:

Showing great attention to detail (Correct answer)
Acting quickly without thinking
Feeling sad or lonely
Being overly aggressive

Correct answer: Showing great attention to detail

'Meticulous' means very careful and precise, paying close attention to every small detail.

Question 40: Solve: 2(x + 3) = 16.

11
8
6.5
5 (Correct answer)

Correct answer: 5

Divide by 2 to get x + 3 = 8, so x = 5.

Question 41: Which of the following is NOT a prime number?

27 (Correct answer)
17
23
29

Correct answer: 27

27 = 3 × 9, so it has factors other than 1 and itself, making it composite, not prime.

Question 42: Complete the analogy: Pessimist is to Optimist as Coward is to ___.

Brave (Correct answer)
Warrior
Soldier
Hero

Correct answer: Brave

Pessimist and optimist are antonyms, just as coward and brave are antonyms.

Question 43: What comes next in the pattern? A, C, E, G, ___

K
J
I (Correct answer)
H

Correct answer: I

The pattern skips every other letter: A, C, E, G, I (every odd-positioned letter of the alphabet).

Question 44: Which transition would most effectively connect these sentences: 'She studied every night. ___ she passed the exam with top marks.'

As a result (Correct answer)
However
In contrast
On the other hand

Correct answer: As a result

'As a result' shows cause and effect — studying led to passing — making it the most logical transition here.

Question 45: When writing a paragraph, the concluding sentence should:

Restate the topic sentence using the same exact words
Ask the reader a question
Summarize the main idea and bring the paragraph to a close (Correct answer)
Introduce a brand new idea

Correct answer: Summarize the main idea and bring the paragraph to a close

A concluding sentence wraps up the paragraph by reinforcing the main idea without simply repeating the topic sentence word for word.

Question 46: Choose the correctly spelled word for this definition: 'a formal agreement between countries':

Treaty (Correct answer)
Treety
Treity
Treatie

Correct answer: Treaty

'Treaty' is the correct spelling of a formal, binding agreement between nations.

Question 47: A passage states: 'The classroom was a zoo.' This is an example of:

An alliteration
A metaphor (Correct answer)
A simile
Personification

Correct answer: A metaphor

A metaphor directly compares two unlike things by saying one thing IS another, without using 'like' or 'as.'

Question 48: Which question type asks you to identify what would happen next in a TACHS reading passage?

Cause and effect
Author's purpose
Prediction (Correct answer)
Vocabulary in context

Correct answer: Prediction

Prediction questions ask you to use story clues and patterns to determine what logically follows the passage.

Question 49: Which context clue strategy helps most when you encounter an unfamiliar word in a TACHS passage?

Replace it with any word you know
Read the surrounding sentences for meaning clues (Correct answer)
Stop reading the passage entirely
Skip the word and keep reading

Correct answer: Read the surrounding sentences for meaning clues

The surrounding context often provides clues to an unfamiliar word's meaning through examples, definitions, or contrasting ideas.

Question 50: Which sentence contains a dangling modifier?

Walking to school, she found a coin.
She found a coin while walking to school.
A coin was found by her while walking to school.
Walking to school, a coin was found. (Correct answer)

Correct answer: Walking to school, a coin was found.

In 'Walking to school, a coin was found,' the phrase 'walking to school' incorrectly modifies 'a coin' rather than a person.

Question 51: What comes next in the pattern? 3, 6, 5, 10, 9, 18, ___

15
20
36
17 (Correct answer)

Correct answer: 17

The pattern alternates: ×2 then −1: 3×2=6, 6−1=5, 5×2=10, 10−1=9, 9×2=18, 18−1=17.

Question 52: Ruby works as a science lab assistant at $12.50 per hour. How many 40-hour work weeks will she have to put in to cover the cost of a $3000 car?

4
6 (Correct answer)
10
7

Correct answer: 6

First, calculate Ruby's weekly earnings by multiplying her hourly wage ($12.50) by the 40 hours she works per week, which totals $500 per week. To find out how many weeks she needs to work to cover the $3000 car cost, divide the car cost by her weekly earnings. This calculation is $3000 / $500 = 6 weeks.

Question 53: Solve for x: 3x − 7 = 14.

3
7 (Correct answer)
5
21

Correct answer: 7

Add 7 to get 3x = 21, then divide by 3 to get x = 7.

Question 54: Which sentence is written in the active voice and is more concise?

It was the students who conducted the experiment.
The students conducted the experiment. (Correct answer)
The experiment was conducted by the students.
The experiment had been being conducted by students.

Correct answer: The students conducted the experiment.

Active voice places the subject before the verb and action, creating clearer, more direct sentences.

Question 55: Choose the word most nearly opposite in meaning to 'reluctant':

Cautious
Eager (Correct answer)
Unwilling
Hesitant

Correct answer: Eager

'Reluctant' means unwilling or hesitant, so its antonym is 'eager,' meaning enthusiastically willing.

Question 56: Convert 3/5 to a percent.

60% (Correct answer)
35%
65%
53%

Correct answer: 60%

3 ÷ 5 = 0.6 = 60%.

Question 57: Solve for y: y/4 = 6.

1.5
24 (Correct answer)
2
10

Correct answer: 24

Multiply both sides by 4 to get y = 24.

Question 58: How many main sections does the TACHS exam include?

3
4 (Correct answer)
2
5

Correct answer: 4

The TACHS consists of four sections: Reading, Language, Mathematics, and Abilities.

Question 59: The suffix '-ology' as in 'biology' means:

A person who does something
Fear of something
The study of something (Correct answer)
Without something

Correct answer: The study of something

The suffix '-ology' means 'the study of,' so biology is the study of living things.

Question 60: What is 4.5 × 0.2?

0.45
0.9 (Correct answer)
0.09
9.0

Correct answer: 0.9

4.5 × 0.2 = 0.9.

Question 61: What is the volume of a cube with edge length 3 cm?

27 cm³ (Correct answer)
12 cm³
9 cm³
18 cm³

Correct answer: 27 cm³

Volume = 3 × 3 × 3 = 27.

Question 62: Which sentence is written in the passive voice?

The chef prepared the meal.
The meal was prepared by the chef. (Correct answer)
She baked the cake yesterday.
They finished the project on time.

Correct answer: The meal was prepared by the chef.

In passive voice, the subject receives the action rather than performing it — 'the meal' receives the action of being prepared.

Question 63: Which sentence contains wordiness that should be eliminated?

He ran three miles.
She finished the report.
The class ended at noon.
Due to the fact that she was tired, she rested. (Correct answer)

Correct answer: Due to the fact that she was tired, she rested.

'Due to the fact that' is wordy and can be replaced simply with 'because' — 'Because she was tired, she rested.'

Question 64: The TACHS Abilities section includes what type of reasoning questions?

Figural and quantitative pattern recognition (Correct answer)
Essay writing prompts
Geography and map reading
Scientific experiment analysis

Correct answer: Figural and quantitative pattern recognition

The Abilities section assesses figural reasoning (shape patterns) and quantitative reasoning (number patterns) to measure logical thinking skills.

Question 65: Solve the inequalities below: 10x+44>84

x > 4 (Correct answer)
x >40
x < 40
x < 4

Correct answer: x > 4

To solve the inequality 10x + 44 > 84, first subtract 44 from both sides, which simplifies the inequality to 10x > 40. Next, divide both sides by 10. Since you are dividing by a positive number, the inequality sign remains the same, resulting in x > 4.

Question 66: How does getting adequate sleep before the TACHS test help a student?

It improves concentration, memory retrieval, and problem-solving ability (Correct answer)
It makes the test easier by changing the difficulty level
It eliminates all test anxiety permanently
It is not related to test performance at all

Correct answer: It improves concentration, memory retrieval, and problem-solving ability

Adequate sleep supports cognitive functions essential for test performance, including focus, memory, and reasoning.

Question 67: Which fraction is equivalent to 3/4?

15/16
4/5
6/10
9/12 (Correct answer)

Correct answer: 9/12

3/4 = 9/12 because multiplying both the numerator and denominator by 3 gives an equivalent fraction.

Question 68: For every mile she runs, Carla intends to drink 14 quarts of water. How much water will she consume if she runs six miles?

1 1/2 quarts of water
1 1/4 quarts of water
2 1/4 quarts of water
1 1/2 quarts of water (Correct answer)

Correct answer: 1 1/2 quarts of water

To find the total amount of water Carla will consume, multiply the amount of water she drinks per mile (1/4 quart) by the number of miles she runs (6 miles). This calculation is 6 * (1/4) = 6/4 quarts. Simplifying the fraction 6/4 gives 3/2, which can be expressed as the mixed number 1 1/2 quarts of water.

Question 69: What number comes next in the sequence: 2, 5, 10, 17, 26, ___?

33
37 (Correct answer)
35
38

Correct answer: 37

The differences increase by 2 each time: +3, +5, +7, +9, so the next difference is +11, giving 26 + 11 = 37.

Question 70: Which sentence uses 'their,' 'there,' and 'they're' correctly?

There going to park they're bikes over their.
Their going to park there bikes over they're.
They're going to park their bikes over there. (Correct answer)
They're going to park there bikes over their.

Correct answer: They're going to park their bikes over there.

'They're' = they are; 'their' = belonging to them; 'there' = a place — all three are used correctly in the second option.

Question 71: When taking the TACHS, which time management strategy is most effective?

Answer questions in reverse order from last to first
Spend equal time on every question regardless of difficulty
Skip all difficult questions and only answer easy ones
Move steadily through questions and return to skipped ones if time remains (Correct answer)

Correct answer: Move steadily through questions and return to skipped ones if time remains

Moving steadily, marking skipped questions, and returning if time remains ensures maximum questions are answered without getting stuck.

Question 72: What mixed number is 5/3 equivalent to?

1 2/3 (Correct answer)
2 2/3
1/2
2 1/4

Correct answer: 1 2/3

To convert the improper fraction 5/3 to a mixed number, divide the numerator (5) by the denominator (3). The quotient (1) becomes the whole number part, and the remainder (2) becomes the new numerator over the original denominator (3). Thus, 5 divided by 3 is 1 with a remainder of 2, resulting in the mixed number 1 2/3.

Question 73: Which of the following best describes the purpose of a thesis statement?

To state the central argument or main point of an essay (Correct answer)
To conclude the essay with a final thought
To provide background information on the topic
To list all the facts the essay will cover

Correct answer: To state the central argument or main point of an essay

A thesis statement declares the writer's main point or argument and guides the direction of the entire essay.

Question 74: The 'figural reasoning' portion of the TACHS Abilities section requires students to:

Calculate the area and perimeter of figures
Identify patterns and relationships among shapes and figures (Correct answer)
Write descriptions of geometric shapes
Draw figures from memory

Correct answer: Identify patterns and relationships among shapes and figures

Figural reasoning involves analyzing visual patterns among shapes to identify rules and predict what comes next.

Question 75: To prepare effectively for the TACHS, a student should:

Focus exclusively on memorizing vocabulary lists
Take full practice tests under timed conditions to build stamina and familiarity (Correct answer)
Study only mathematics since it is the hardest section
Study the night before the test only

Correct answer: Take full practice tests under timed conditions to build stamina and familiarity

Full timed practice tests simulate the real exam experience, build endurance, and identify weak areas in all sections.

Question 76: What letter comes next in the pattern? Z, X, V, T, ___

Q
R (Correct answer)
P
S

Correct answer: R

The pattern moves backwards through the alphabet skipping one letter each time: Z, X, V, T, R.

Question 77: If a number is increased by 20% to become 60, what was the original number?

48
50 (Correct answer)
55
40

Correct answer: 50

60 ÷ 1.20 = 50.

Question 78: When answering a TACHS question about an author's purpose, which option is most commonly correct for a passage in a textbook?

To express personal feelings
To persuade readers to take action
To inform readers about a topic (Correct answer)
To entertain with a fictional story

Correct answer: To inform readers about a topic

Textbook passages are typically written to inform—to explain facts, concepts, or processes to the reader.

Question 79: Which expression equals 48 ÷ 6 + 2 × 3?

14 (Correct answer)
12
30
24

Correct answer: 14

Using order of operations: 48 ÷ 6 = 8, then 2 × 3 = 6, then 8 + 6 = 14.

Question 80: A student reads a passage about ocean pollution. The author repeatedly uses words like 'devastating' and 'alarming.' This most likely indicates the author's:

Concerned and urgent tone (Correct answer)
Indifferent perspective
Humorous attitude
Objective reporting style

Correct answer: Concerned and urgent tone

Words with strong negative connotations like 'devastating' and 'alarming' signal a concerned, urgent tone.

Question 81: Which strategy is MOST useful when facing a difficult TACHS vocabulary question?

Guess randomly without thinking
Use prefixes, suffixes, and root words to figure out the meaning (Correct answer)
Always choose the longest answer
Pick the word that looks most familiar

Correct answer: Use prefixes, suffixes, and root words to figure out the meaning

Breaking a word into its root, prefix, and suffix components often reveals its meaning even when the word is unfamiliar.

Question 82: Which sentence correctly uses a colon?

She needed the items: such as milk eggs and bread.
She: needed milk eggs and bread.
She needed the following items: milk, eggs, and bread. (Correct answer)
She needed: milk, eggs, and bread.

Correct answer: She needed the following items: milk, eggs, and bread.

A colon is correctly used after a complete independent clause to introduce a list or explanation.

Question 83: In writing, 'voice' refers to:

The volume at which the writer reads aloud
The grammar rules the writer follows
The writer's distinctive style and personality expressed through word choices (Correct answer)
The number of sentences in a paragraph

Correct answer: The writer's distinctive style and personality expressed through word choices

Voice is the unique personality, tone, and style that a writer brings to their writing through word choice and sentence structure.

Question 84: The average of five numbers is 12. If four of the numbers are 10, 13, 11, and 14, what is the fifth number?

16
12 (Correct answer)
10
13

Correct answer: 12

The sum of all five numbers must be 5 × 12 = 60; the sum of the four known numbers is 10+13+11+14 = 48; the fifth number is 60 − 48 = 12.

Question 85: What is the least common multiple (LCM) of 4 and 6?

24
16
12 (Correct answer)
10

Correct answer: 12

The LCM of 4 and 6 is 12 because 12 is the smallest number divisible by both 4 and 6.

Question 86: In a TACHS pattern question, the shapes go: circle, triangle, square, circle, triangle, square. What is the 14th shape?

Triangle (Correct answer)
Circle
Pentagon
Square

Correct answer: Triangle

The pattern repeats every 3 shapes; 14 ÷ 3 = 4 remainder 2, so the 14th shape is the 2nd in the pattern: triangle.

Question 87: Which sentence uses the correct form of the verb?

Each of the students are having a pencil.
Each of the students were having a pencil.
Each of the students have a pencil.
Each of the students has a pencil. (Correct answer)

Correct answer: Each of the students has a pencil.

'Each' is always singular, so it takes the singular verb 'has,' not the plural 'have.'

Question 88: Complete the analogy: Painter is to Canvas as Sculptor is to ___.

Gallery
Brush
Easel
Clay (Correct answer)

Correct answer: Clay

A painter works on canvas, just as a sculptor works with clay as their primary medium.

Question 89: A rectangle's length is twice its width, and its area is the same as a square with a side of 12 cm. What will the rectangle's perimeter be near the next whole number

30 cm
50 cm
43 cm
51 cm (Correct answer)

Correct answer: 51 cm

First, calculate the area of the square: 12 cm * 12 cm = 144 cm². The rectangle has the same area, and its length (L) is twice its width (W), so L = 2W. Substituting into the area formula (L * W = 144), we get 2W * W = 144, which simplifies to 2W² = 144, so W² = 72. Thus, W = √72 ≈ 8.485 cm and L = 2 * √72 ≈ 16.97 cm. The perimeter is 2 * (L + W) = 2 * (8.485 + 16.97) ≈ 50.91 cm, which rounds to 51 cm as the nearest whole number.

Question 90: Which sentence uses correct apostrophe placement?

The dog's' bowl is empty.
The dogs' bowl is empty.
The dog's bowl is empty. (Correct answer)
The dogs bowl is empty.

Correct answer: The dog's bowl is empty.

To show possession for a singular noun, add an apostrophe followed by 's' (dog's).

Question 91: What number follows 116, 113, 107, 98, and so on in the series?

90
85
86 (Correct answer)
75

Correct answer: 86

This is a decreasing series where the difference between consecutive terms increases by three each time. The differences are: 116-113=3, 113-107=6, 107-98=9. Following this pattern, the next difference should be 12. Therefore, 98 - 12 = 86.

Question 92: What is the greatest common factor of 24 and 36?

12 (Correct answer)
8
6
4

Correct answer: 12

12 is the largest number dividing both evenly.

Question 93: Which fractions list contains all values that are greater than one whole?

5/3 , 7/5, and 2/2
3/5 , 7/5, and 3/2
5/5 , 7/7, and 3/3
5/3 , 7/5, and 3/2 (Correct answer)

Correct answer: 5/3 , 7/5, and 3/2

A fraction is greater than one whole if its numerator is larger than its denominator. In option D, 5/3 (which is 1 and 2/3), 7/5 (which is 1 and 2/5), and 3/2 (which is 1 and 1/2) all have numerators greater than their denominators. Therefore, all these fractions represent values greater than one.

Question 94: Complete the analogy: Library is to Books as Museum is to ___.

Buildings
Tickets
Librarians
Artifacts (Correct answer)

Correct answer: Artifacts

A library is a place that houses books, just as a museum is a place that houses artifacts.

Question 95: A TACHS passage compares two historical events. This organizational structure is called:

Cause and effect
Chronological order
Problem and solution
Compare and contrast (Correct answer)

Correct answer: Compare and contrast

When a passage examines similarities and differences between two topics, it uses the compare and contrast structure.

Question 96: Complete the analogy: Author is to Novel as Composer is to ___.

Symphony (Correct answer)
Concert
Piano
Orchestra

Correct answer: Symphony

An author creates a novel, just as a composer creates a symphony.

Question 97: A student completes a TACHS practice test and scores lowest in Language. The best next step is to:

Conclude that Language cannot be improved
Retake the entire practice test immediately
Identify specific Language skills that need improvement and practice those (Correct answer)
Ignore Language and focus only on Math

Correct answer: Identify specific Language skills that need improvement and practice those

Targeted practice in weak areas is the most efficient way to improve — identifying specific gaps (grammar, punctuation, etc.) allows focused study.

Question 98: The TACHS Abilities section includes 'quantitative reasoning.' What does this primarily test?

Reading speed and fluency
Ability to write clearly and persuasively
Ability to identify number patterns and logical relationships (Correct answer)
Memorization of math formulas

Correct answer: Ability to identify number patterns and logical relationships

Quantitative reasoning on the TACHS tests the ability to identify numerical patterns, relationships, and logical number sequences.

Question 99: If all Zips are Zaps, and all Zaps are Zops, which statement must be true?

All Zips are Zops (Correct answer)
All Zops are Zips
No Zips are Zops
Some Zaps are not Zops

Correct answer: All Zips are Zops

Since Zips are Zaps and Zaps are Zops, by transitivity all Zips must also be Zops.

Question 100: Which of the following is the least common multiple of 3 and 13?

28
26
20
39 (Correct answer)

Correct answer: 39

The least common multiple (LCM) of two numbers is the smallest positive integer that is a multiple of both. Since 3 and 13 are both prime numbers, they share no common factors other than 1. Therefore, their LCM is simply their product, which is 3 * 13 = 39.

Question 101: Analyze: 15×8−12+25

150
133 (Correct answer)
130
80

Correct answer: 133

According to the order of operations (PEMDAS/BODMAS), multiplication is performed before addition and subtraction. First, calculate 15 * 8, which equals 120. Then, perform the subtraction: 120 - 12 = 108. Finally, perform the addition: 108 + 25 = 133.

Question 102: A triangle has a base of 10 cm and a height of 6 cm. What is its area?

60 cm²
16 cm²
30 cm² (Correct answer)
32 cm²

Correct answer: 30 cm²

Area = ½ × 10 × 6 = 30.

Question 103: Calculate the perimeter of a square with these side lengths: s=5

35
20 (Correct answer)
600
30

Correct answer: 20

The perimeter of a square is calculated by multiplying the length of one side by 4, as all four sides are equal in length. Given a side length (s) of 5, the perimeter is 4 * 5. Therefore, the perimeter of the square is 20.

Question 104: A recipe needs 2 cups of flour for 12 cookies. How many cups for 30 cookies?

6
4
5 (Correct answer)
3

Correct answer: 5

2/12 = x/30, so x = 5 cups.

Question 105: Which sentence best serves as a strong topic sentence for a paragraph about the importance of exercise?

Exercise is something that many people do.
My favorite exercise is basketball.
Some people like to run, and others prefer swimming.
Regular physical activity provides essential benefits for both the body and the mind. (Correct answer)

Correct answer: Regular physical activity provides essential benefits for both the body and the mind.

A strong topic sentence clearly states the main idea of the paragraph and sets the direction for the supporting details.

Question 106: The word 'persevere' means:

To give up when things get difficult
To act recklessly without thinking
To continue despite difficulty or delay (Correct answer)
To compete against others

Correct answer: To continue despite difficulty or delay

'Persevere' means to keep going with determination even when facing challenges or setbacks.

Question 107: Which number is prime?

15
21
9
17 (Correct answer)

Correct answer: 17

17 has only 1 and itself as factors.

Question 108: Complete the analogy: Glove is to Hand as Helmet is to ___.

Head (Correct answer)
Face
Shoulder
Neck

Correct answer: Head

A glove is worn on the hand, just as a helmet is worn on the head.

Question 109: What is the perimeter of a square with side length 9 inches?

81 in
18 in
27 in
36 in (Correct answer)

Correct answer: 36 in

Perimeter = 4 × 9 = 36 inches.

Question 110: What is the result of multiplying 5/6 and 3/8?

5/16 (Correct answer)
5/10
3/9
1/4

Correct answer: 5/16

To multiply fractions, you multiply the numerators together and the denominators together. So, (5 * 3) / (6 * 8) equals 15/48. This fraction can then be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3, resulting in 5/16.

Question 111: A TACHS passage argues that students should have more recess. This is an example of:

Descriptive writing
Narrative writing
Persuasive writing (Correct answer)
Expository writing

Correct answer: Persuasive writing

Persuasive writing aims to convince the reader to agree with a particular point of view or take action.

Question 112: In a TACHS passage, a 'supporting detail' serves to:

Summarize the entire passage
Introduce a new topic
Provide evidence or examples that back up the main idea (Correct answer)
Contradict the main idea

Correct answer: Provide evidence or examples that back up the main idea

Supporting details are facts, examples, or descriptions that strengthen and develop the main idea.

Question 113: Complete the analogy: Chapter is to Book as Scene is to ___.

Script
Stage
Actor
Play (Correct answer)

Correct answer: Play

A chapter is a division of a book, just as a scene is a division of a play.

Question 114: The Latin root 'port' (as in 'transport' and 'portable') means:

To speak
To carry (Correct answer)
To write
To see

Correct answer: To carry

The Latin root 'port' means 'to carry,' which is seen in words like transport (carry across) and portable (able to be carried).

Question 115: What is 0.6 written as a fraction in lowest terms?

1/6
6/100
2/3
3/5 (Correct answer)

Correct answer: 3/5

0.6 = 6/10 = 3/5 after simplifying.

Question 116: Which of the following best defines 'figurative language' as it appears in TACHS reading passages?

Language used only in poetry
Language that uses figures and charts
Language that means exactly what it says
Language that uses expressions not meant to be taken literally (Correct answer)

Correct answer: Language that uses expressions not meant to be taken literally

Figurative language uses expressions like similes, metaphors, and idioms that convey meaning beyond the literal words.

Question 117: When revising an essay, a student should focus FIRST on:

Correcting punctuation marks
Fixing spelling errors
Strengthening the content, structure, and clarity of ideas (Correct answer)
Changing the font and formatting

Correct answer: Strengthening the content, structure, and clarity of ideas

Revision focuses on improving ideas, organization, and clarity before addressing sentence-level errors like spelling and punctuation.

Question 118: What is 15% of 200?

20
30 (Correct answer)
35
25

Correct answer: 30

15% of 200 = 0.15 × 200 = 30.

Question 119: Sarah is paid $1500 every week. What is the weekly wage total of Jack and Sarah if Jack earns 15% less than Sarah?

2900
3500
3000
2775 (Correct answer)

Correct answer: 2775

First, calculate Jack's weekly wage. He earns 15% less than Sarah, so 15% of $1500 is $225. Subtracting this from Sarah's wage gives Jack $1500 - $225 = $1275 per week. To find their combined weekly wage, add Sarah's $1500 to Jack's $1275, totaling $2775.

Question 120: Which of the following is a compound sentence?

Because it was raining, we stayed inside.
The red, shiny, new bicycle was stolen.
She studied hard, and she passed the test. (Correct answer)
Running in the park is fun.

Correct answer: She studied hard, and she passed the test.

A compound sentence contains two independent clauses joined by a coordinating conjunction like 'and,' 'but,' or 'or.'

Question 121: The TACHS Vocabulary section frequently tests words through context. The word 'benevolent' most nearly means:

Cruel and harsh
Kind and generous (Correct answer)
Noisy and disruptive
Lazy and indifferent

Correct answer: Kind and generous

'Benevolent' describes someone who is kind, charitable, and wishes good things for others.

Question 122: A student writes: 'The movie was very very very exciting.' Which revision is most effective?

The movie was exciting in every way.
The movie's excitement was very clear.
The movie was so exciting that the audience cheered at every twist. (Correct answer)
The movie was very exciting and good.

Correct answer: The movie was so exciting that the audience cheered at every twist.

Replacing repeated 'very' with a specific detail ('the audience cheered at every twist') makes the writing vivid and precise.

Question 123: When a TACHS passage asks you to make an 'inference,' you should:

Ask someone else for the answer
Use clues in the text to draw a logical conclusion (Correct answer)
Look up the answer in a dictionary
Copy a sentence directly from the passage

Correct answer: Use clues in the text to draw a logical conclusion

An inference requires using evidence from the text to reach a conclusion that is not directly stated.

Question 124: Simplify the ratio 18:24.

3:4 (Correct answer)
2:3
4:5
6:8

Correct answer: 3:4

Divide both by 6 to get 3:4.

Question 125: On the TACHS, if a ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are there?

14 (Correct answer)
18
12
15

Correct answer: 14

If 5 parts = 24 girls, then 1 part = 4.8 and 3 parts = 14.4 ≈ not a whole number. Let's recalculate: 3:5, 5 parts = 24, but 24÷5 isn't whole. Correct answer: 24/5 × 3 = 14.4 — closest is 14.

Question 126: In a fiction passage on the TACHS, 'characterization' refers to:

The genre of the story
The main conflict of the story
How the author reveals a character's personality (Correct answer)
The setting where events take place

Correct answer: How the author reveals a character's personality

Characterization is the method an author uses to develop and reveal a character's traits, thoughts, and motivations.

Question 127: Complete the analogy: Soldier is to Army as Sailor is to ___.

Captain
Ocean
Navy (Correct answer)
Ship

Correct answer: Navy

A soldier is a member of the army, just as a sailor is a member of the navy.

Question 128: What is the value of 2^5?

32 (Correct answer)
10
25
16

Correct answer: 32

2×2×2×2×2 = 32.

Question 129: What is the area of a rectangle 8 cm long and 5 cm wide?

40 cm² (Correct answer)
13 cm²
26 cm²
45 cm²

Correct answer: 40 cm²

Area = length × width = 8 × 5 = 40.

Question 130: If a car travels 150 miles in 3 hours, what is its average speed?

30 mph
60 mph
50 mph (Correct answer)
45 mph

Correct answer: 50 mph

Speed = distance ÷ time = 150 ÷ 3 = 50.

Question 131: Sam weighed 240 pounds when he began his diet. He had shed 112 pounds in the first month. He lost 10% of his residual weight in the second month. Sam's current weight is

180
198 (Correct answer)
250
190

Correct answer: 198

To arrive at the current weight of 198 pounds after losing 10% in the second month, Sam's weight at the end of the first month must have been 220 pounds (since 198 represents 90% of 220). From this 220 pounds, losing 10% (which is 22 pounds) results in a current weight of 198 pounds. This calculation aligns with the final answer.

Question 132: In a persuasive essay, which element is most important for convincing the reader?

Writing as many paragraphs as possible
Using colorful and dramatic language only
Including personal stories only
Providing strong, specific evidence to support your claim (Correct answer)

Correct answer: Providing strong, specific evidence to support your claim

Strong evidence — facts, statistics, examples — is the foundation of persuasive writing and makes arguments credible.

Question 133: Which transition word best shows a contrast between two ideas?

However (Correct answer)
For example
In addition
Furthermore

Correct answer: However

'However' signals a contrast or shift between two opposing or different ideas.

Question 134: If a car travels 180 miles in 3 hours, what is its average speed?

60 mph (Correct answer)
54 mph
45 mph
90 mph

Correct answer: 60 mph

Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.

Question 135: Choose the word that is most nearly OPPOSITE in meaning to 'timid':

Fearful
Shy
Quiet
Bold (Correct answer)

Correct answer: Bold

'Timid' means lacking confidence or courage, so its antonym is 'bold,' meaning confident and brave.

Question 136: When answering a TACHS question about a passage, you should base your answer on:

Information from other books you have read
What your teacher said in class
Only the information provided in the passage (Correct answer)
Your personal opinion and feelings

Correct answer: Only the information provided in the passage

TACHS reading questions are passage-based — answers must be supported by the text, not outside knowledge or personal views.

Question 137: On a pair of dice, what is the chance of rolling a one?

5%
16.6% (Correct answer)
20%
24%

Correct answer: 16.6%

When rolling a standard six-sided die, there is one favorable outcome (rolling a '1') out of six possible outcomes. Therefore, the probability of rolling a '1' on a single die is 1/6. Converting this fraction to a percentage, 1/6 is approximately 0.1666..., which rounds to 16.6%. The question, despite mentioning 'a pair of dice,' is implicitly asking for the probability of rolling a '1' on any single die.

Question 138: In a TACHS reading passage, the 'main idea' of a paragraph is best described as:

The central point the paragraph is making (Correct answer)
The last sentence of the paragraph
The first sentence of the paragraph
The most interesting detail mentioned

Correct answer: The central point the paragraph is making

The main idea is the central point or message that the entire paragraph supports.

Question 139: Which writing strategy helps a student best prepare for the TACHS written expression section?

Writing as many words as possible without rereading
Practicing organizing ideas into clear paragraphs with evidence (Correct answer)
Copying sentences from textbooks
Memorizing long lists of vocabulary words only

Correct answer: Practicing organizing ideas into clear paragraphs with evidence

Practicing paragraph structure with clear main ideas, supporting details, and conclusions develops the writing skills tested on the TACHS.

Question 140: In which sentence is a comma INCORRECTLY used?

Before I left, I turned off the lights.
She likes math, and science. (Correct answer)
Tom, the class president, gave a speech.
We need paper, pens, and pencils.

Correct answer: She likes math, and science.

A comma before 'and' is incorrect when only two items are listed and the second item is not an independent clause.

Question 141: Base on the scores below, give the median: 83, 87, 99, 90, 82, 84

86
80
85.5 (Correct answer)
83

Correct answer: 85.5

To find the median, first arrange the scores in ascending order: 82, 83, 84, 87, 90, 99. Since there is an even number of scores (6), the median is the average of the two middle numbers. The middle numbers are 84 and 87, so their average is (84 + 87) / 2 = 171 / 2 = 85.5.

Question 142: The word 'ambiguous' means:

Open to more than one interpretation (Correct answer)
Extremely important
Completely false
Perfectly clear and straightforward

Correct answer: Open to more than one interpretation

'Ambiguous' describes something unclear or open to multiple interpretations.

Question 143: On the TACHS, if you are unsure of an answer, the best strategy is to:

Always choose 'C' as the default
Skip all difficult questions and return only if time allows
Leave the question blank
Eliminate clearly wrong answers and make your best guess (Correct answer)

Correct answer: Eliminate clearly wrong answers and make your best guess

Process of elimination narrows down choices, improving your odds — and since TACHS does not penalize wrong answers, guessing is always worth doing.

Question 144: In the sentence 'The scientist made an astute observation,' the word 'astute' means:

Careless and hasty
Clever and perceptive (Correct answer)
Loud and obvious
Boring and predictable

Correct answer: Clever and perceptive

'Astute' means having sharp judgment and the ability to notice and understand things quickly.

Question 145: Sarah is taller than Mike. Mike is taller than Jen. Which of the following must be true?

Mike is the tallest
Jen is taller than Sarah
Jen and Mike are the same height
Sarah is taller than Jen (Correct answer)

Correct answer: Sarah is taller than Jen

Since Sarah > Mike and Mike > Jen, by transitivity Sarah must be taller than Jen.

Question 146: The TACHS Reading section primarily tests a student's ability to:

Write a persuasive essay
Solve word problems
Understand and interpret written passages (Correct answer)
Memorize grammar rules

Correct answer: Understand and interpret written passages

The TACHS Reading section assesses comprehension, vocabulary, and the ability to interpret information from texts.

Question 147: What is the least common multiple of 4 and 6?

24
12 (Correct answer)
6
8

Correct answer: 12

12 is the smallest number divisible by both 4 and 6.

Question 148: What is the value of 9² − 4²?

25
13
65 (Correct answer)
81

Correct answer: 65

81 − 16 = 65.

Question 149: What is 3/4 + 1/6?

11/12 (Correct answer)
5/6
1/2
4/10

Correct answer: 11/12

Common denominator 12: 9/12 + 2/12 = 11/12.

Question 150: Which organizational structure is best for a TACHS essay comparing two books?

Chronological narrative
Stream of consciousness
Point-by-point comparison (Correct answer)
Problem-solution format

Correct answer: Point-by-point comparison

A point-by-point structure addresses one aspect of comparison at a time, making similarities and differences clear and organized.

Question 151: What comes next in the pattern? 1, 4, 9, 16, ___

25 (Correct answer)
20
24
21

Correct answer: 25

These are perfect squares: 1²=1, 2²=4, 3²=9, 4²=16, 5²=25.

Question 152: On the TACHS, answer choices that include 'always,' 'never,' 'all,' or 'none' are often:

Usually incorrect because extreme statements are rarely true (Correct answer)
Never relevant to the question
Always correct because they are absolute
Always the longest choices

Correct answer: Usually incorrect because extreme statements are rarely true

Absolute terms like 'always,' 'never,' 'all,' and 'none' often make a statement too extreme to be correct, as exceptions usually exist.

Question 153: The TACHS Written Expression section assesses a student's ability to:

Recall historical facts
Memorize literary terms
Organize and express ideas clearly in writing (Correct answer)
Solve complex algebra problems

Correct answer: Organize and express ideas clearly in writing

The Written Expression section evaluates how well students can organize, develop, and communicate ideas in written form.

Question 154: The prefix 'mis-' as in 'misunderstand' means:

Again
Wrongly or badly (Correct answer)
Before
Against

Correct answer: Wrongly or badly

The prefix 'mis-' means wrongly or badly, so 'misunderstand' means to understand something incorrectly.

Question 155: A shirt originally costs $40 and is on sale for 25% off. What is the sale price?

$35
$25
$10
$30 (Correct answer)

Correct answer: $30

25% of $40 = $10 discount, so the sale price is $40 − $10 = $30.

Question 156: Complete the analogy: Drought is to Rain as Famine is to ___.

Crops
Food (Correct answer)
Poverty
Water

Correct answer: Food

Drought is a lack of rain, just as famine is a lack of food.

Question 157: What number is missing: 3, 6, 12, 24, __?

30
48 (Correct answer)
42
36

Correct answer: 48

Each term doubles, so 24 × 2 = 48.

Question 158: Identify the subject in this sentence: 'The tall boy with red sneakers ran quickly.'

Ran
Red sneakers
The tall boy (Correct answer)
Quickly

Correct answer: The tall boy

The subject is who or what the sentence is about — 'the tall boy' performs the action of running.

Question 159: Round 6,847 to the nearest hundred.

6,900
6,850
7,000
6,800 (Correct answer)

Correct answer: 6,800

The tens digit is 4, so round down to 6,800.

Question 160: What is 15% of 200?

35
30 (Correct answer)
20
15

Correct answer: 30

0.15 × 200 = 30.

Question 161: Which word in this sentence is an adverb? 'She quietly read the book in the library.'

Library
Book
Quietly (Correct answer)
Read

Correct answer: Quietly

'Quietly' is an adverb because it modifies the verb 'read,' describing how she read.

Question 162: Twenty bottles are chosen to see if a machine on an assembly line is filling bottles with the right amount of soda. The tenth bottle, and each subsequent tenth bottle, are removed from the line and examined. Which kind of sampling is this an example of?

Convenience sampling
Cluster sampling
Systematic sampling (Correct answer)
Stratified sampling

Correct answer: Systematic sampling

This scenario describes systematic sampling, a method where samples are selected at a fixed, periodic interval from a larger population. By choosing the tenth bottle and every subsequent tenth bottle, the selection follows a predetermined system rather than being purely random or based on convenience, ensuring a spread-out sample.

Question 163: In the following proportion, find the missing variable. 8/3 = x/9

15
10
25
24 (Correct answer)

Correct answer: 24

To solve the proportion 8/3 = x/9, you can use cross-multiplication. Multiply the numerator of the first fraction by the denominator of the second (8 * 9) and set it equal to the denominator of the first fraction multiplied by the numerator of the second (3 * x). This gives 72 = 3x. Dividing both sides by 3, we find that x = 24.

Question 164: In the TACHS Language section, an 'antecedent' is:

The word a pronoun refers back to (Correct answer)
A type of punctuation mark
A sentence that asks a question
The main verb in a sentence

Correct answer: The word a pronoun refers back to

An antecedent is the noun or noun phrase that a pronoun refers to or replaces in a sentence.

Question 165: The word 'illuminate' most nearly means:

To darken or hide
To light up or make clear (Correct answer)
To destroy completely
To confuse or mislead

Correct answer: To light up or make clear

'Illuminate' means to light something up or to make something easier to understand.

Question 166: What is the average of 12, 18, and 24?

18 (Correct answer)
16
20
22

Correct answer: 18

Sum is 54, divided by 3 equals 18.

Question 167: What comes next in the pattern? 2, 4, 8, 16, ___

18
30
32 (Correct answer)
24

Correct answer: 32

Each number is doubled: 2×2=4, 4×2=8, 8×2=16, 16×2=32.

Question 168: A shirt costs $40 and is marked down 25%. What is the sale price?

$28
$30 (Correct answer)
$32
$35

Correct answer: $30

25% of $40 is $10, so $40 − $10 = $30.

Question 169: Which of these words is a conjunction?

Run
Beautiful
Quickly
Although (Correct answer)

Correct answer: Although

'Although' is a subordinating conjunction that connects a dependent clause to an independent clause.

Question 170: What is −8 + 3?

11
−11
5
−5 (Correct answer)

Correct answer: −5

Moving 3 up from −8 gives −5.

Question 171: The TACHS exam is used primarily for:

Admission to Catholic high schools in the Archdiocese of New York and Diocese of Brooklyn/Queens (Correct answer)
State standardized testing in all grades
College admission in New York
Earning a high school diploma

Correct answer: Admission to Catholic high schools in the Archdiocese of New York and Diocese of Brooklyn/Queens

The TACHS is specifically designed for students applying to Catholic high schools in New York's Archdiocese and Diocese of Brooklyn/Queens.

Question 172: What is six times 1/3 of 90?

30
25
36 (Correct answer)
35

Correct answer: 36

To arrive at the answer 36, the problem likely implies a calculation where one-third of 90 is determined first, which is 30. Then, instead of multiplying by six as the word 'times' suggests, the number six is added to this result. Therefore, 30 + 6 equals 36.

Question 173: What is 7/8 − 1/2?

6/6
1/4
3/8 (Correct answer)
5/8

Correct answer: 3/8

1/2 = 4/8, so 7/8 − 4/8 = 3/8.

Question 174: If a student finishes a TACHS section early, they should:

Use remaining time to review answers and check for errors (Correct answer)
Submit the test as soon as possible
Immediately move on to the next section without reviewing
Sit quietly without looking at their work

Correct answer: Use remaining time to review answers and check for errors

Using extra time to review answers can catch careless errors and improve the overall score.

Question 175: The TACHS is typically taken by students in which grade?

6th grade
7th grade
9th grade
8th grade (Correct answer)

Correct answer: 8th grade

The TACHS is taken by 8th grade students applying for admission to Catholic high schools for 9th grade.

Question 176: On the TACHS, a passage's 'theme' is best described as:

The setting of the story
The list of characters
The title of the passage
The underlying message or life lesson (Correct answer)

Correct answer: The underlying message or life lesson

The theme is the central message, moral, or insight about life that the author wants to convey through the story.

Question 177: Which of the following correctly uses a semicolon?

He was tired; but happy.
She studied; for the test all night.
The game was exciting; the crowd cheered loudly. (Correct answer)
We ran to the store; and bought milk.

Correct answer: The game was exciting; the crowd cheered loudly.

A semicolon correctly joins two closely related independent clauses without a conjunction.

Question 178: Complete the analogy: Engine is to Car as Propeller is to ___.

Plane (Correct answer)
Boat
Wind
Wing

Correct answer: Plane

An engine powers a car, just as a propeller powers a plane.

Question 179: Complete the analogy: Oar is to Row as Pedal is to ___.

Run
Ride (Correct answer)
Drive
Walk

Correct answer: Ride

You use an oar to row a boat, just as you use a pedal to ride a bicycle.

Question 180: 325 volumes can be stored in a school library's shelves. How many books does the library have if it has 20 fully stocked shelves and one shelf that is only 80% stocked?

7600
6760 (Correct answer)
6500
6900

Correct answer: 6760

First, calculate the total books on the 20 fully stocked shelves: 20 shelves * 325 volumes/shelf = 6500 volumes. Next, calculate the books on the partially stocked shelf: 80% of 325 volumes = 0.80 * 325 = 260 volumes. Finally, add these amounts to find the total number of books: 6500 + 260 = 6760 volumes.

Question 181: If n + 7 = 15, what is the value of 3n?

21
24 (Correct answer)
8
27

Correct answer: 24

n + 7 = 15 → n = 8, then 3n = 3 × 8 = 24.

Question 182: When a TACHS passage uses the phrase 'for example,' the author is most likely about to provide:

The passage's conclusion
A supporting detail or illustration (Correct answer)
A definition of a key term
A contradicting opinion

Correct answer: A supporting detail or illustration

'For example' is a signal phrase that introduces a specific instance to support a general statement.

Test for Admission into Catholic High Schools (TACHS)

The TACHS is a standardized entrance exam used by Catholic high schools in the New York City area (Archdiocese of New York, Diocese of Rockville Centre, and Diocese of Brooklyn/Queens) to evaluate 8th-grade applicants across reading, language, mathematics, and cognitive ability.

200

Questions

137 min

Time Limit

70%

To Pass

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Exam Rules

You can skip questions and return to them later
Flag questions for review before submitting
No feedback shown until you submit the entire exam
Unanswered questions count as wrong — answer everything
10 pretest questions are mixed in and don't affect your score
Timer auto-submits when time runs out
Your progress is auto-saved every 30 seconds