Math
Basic arithmetic / word problem
A hoodie costs $35. Avery buys 3 hoodies and uses a $10 coupon. How much does she pay?
A) $85
B) $95
C) $105
D) $115
Solution:
Price for 3 hoodies = 35×3
Calculate: 35×3=105
Subtract coupon: 105−10=95
Answer: B) $95
Which choice corrects the sentence?
"The team don't have enough players for tonight's game"
A) don't has
B) doesn't have
C) didn't have
D) no change
Correct Answer: B. doesn’t have
Explanation:
Team is treated as a singular noun in ACT English. Singular nouns use doesn’t, not “don’t.” “Doesn’t have” is the correct verb agreement.
How many minutes do you get for the ACT Reading section?
A. 25 minutes
B. 35 minutes
C. 45 minutes
D. 55 minutes
Answer: B. 35 minutes
How many minutes do you get for the ACT Science section?
A. 25 minutes
B. 30 minutes
C. 35 minutes
D. 40 minutes
Answer: C. 35 minutes
What does "ACT" originally stand for?
A) American College Test
B) Advanced college Training
C) Academic Capability Test
D) American Class Trial
Answer: A) American college Test
Linear equation / slope
A line has slope 2 and passes through (1,3) What is its equation in slope-intercept form?
A) y=2x+1
B) y=2x+3
C) y=2x+2
D) y=x+2
Solution:
Slope-intercept form: y=mx+b with m=2. Use point to find 𝑏:
Plug in x=1,y=3: 3=2(1)+b.
Which sentence is most concise?
A. The coach, who is known for being very strict, he canceled practice.
B. The strict coach canceled practice.
C. The coach canceled practice, because he’s strict.
D. Practice was canceled by the coach.
Correct Answer: B. The strict coach canceled practice.
Explanation:
ACT English loves concise, clear sentences.
A repeats “the coach” and uses unnecessary wording.
C adds a comma that’s not needed and extra explanation.
D is passive voice (less clear).
B is short, direct, and grammatically correct.
How many passages are on the ACT Reading section?
A. 2
B. 3
C. 4
D. 5
Answer: C. 4
How many questions are in ACT Science?
A. 20
B. 30
C. 40
D. 50
Answer: C. 40
In what year was ACT first given?
A) 1925
B) 1959
C) 1972
D) 1999
Answer: B) 1959
Quadratic / factoring
Factor: x^2 −5x+6
A) (x-1)(x-6)
B) (x-2)(x-3)
C) (x+2)(x+3)
D) (x-3)(x+2)
Solution: Find two numbers that multiply to
6 and add to −5: they are −2 and −3.
So −5x+6=(x−2)(x−3).
Answer: B (x−2)(x−3)
Which version fixes the punctuation?
Sentence:
After the game the players celebrated in the locker room.
A. After the game; the players celebrated in the locker room.
B. After the game: the players celebrated in the locker room.
C. After the game, the players celebrated in the locker room.
D. No change.
Correct Answer: C. After the game, the players celebrated…
Explanation:
A short intro phrase like “After the game” needs a comma before the main clause.
A uses a semicolon incorrectly.
B uses a colon incorrectly.
D is missing the needed comma.
How many questions are in the ACT Reading section?
A. 20
B. 30
C. 40
D. 50
Answer: C. 40
How many passages does the ACT Science test have?
A. 4
B. 5
C. 6
D. 7
Answer: C. 6
Which Subject was added Last to the Act?
A) English
B) Math
C) Reading
D) Science
Answer: D Science
Geometry — area of a triangle
Triangle base = 10 cm, height = 6 cm. What is the area?
15 cm^2
25cm^2
30cm^2
60cm^2
Answer: C) 30cm^2
Work: A = 1/2bh = ½ x 10 x 6 =30
Which choice correctly replaces the underlined portion?
Sentence:
Alexa and Shelby was ready to present their project.
A. was
B. were
C. are
D. be
Correct Answer: B. were
Explanation:
The subject is Alexa and Shelby (plural).
Plural subjects use were, not “was.”
What is the BEST first step when answering Reading questions?
A. Read the answer choices first
B. Read the entire passage slowly
C. Skim for main ideas
D. Guess randomly
Answer: C. Skim for main ideas
Which skill is MOST important for ACT Science?
A. Memorizing biology facts
B. Writing full lab reports
C. Reading charts and graphs
D. Knowing every science formula
Answer: C
What percentage of students usually get a perfect 36?
A) Less than 1%
B) 5%
C) 10%
D) 20%
Answer: A Less than 1%
Percent / discount chain
A jacket is $80. First it’s discounted 25%. Then an extra 10% off the sale price. What is the final price? (Round to nearest cent.)
$48
$50
$52
$54
Solution:
First discount: 25% of $80 = 0.25×80=20.
Sale price after first discount:
80−20=60.
Second discount: 10% of $60 = 0.10×60=6.
Final price: 60−6=54.
Answer: D) $54.00
Which choice is the best transition?
Sentence:
The school cafeteria added healthier options this year. __________, students have reported feeling more energetic.
A. However
B. As a result
C. Meanwhile
D. For example
Correct Answer: B. As a result
Explanation: The second sentence shows the effect of the first: healthier food → more energy. “As a result” shows cause and effect.
“However” = contrast → wrong here.
“Meanwhile” = at the same time → not relevant.
“For example” doesn’t fit the logic.
What type of question asks you to understand what the passage is MOSTLY about?
A. Vocabulary-in-context
B. Detail
C. Inference
Answer: D. Main idea / central theme
What type of passage compares two scientists’ viewpoints?
A. Data Representation
B. Conflicting Viewpoints
C. Research Summary
D. Hypothesis Passage
Answer: B
Which state requires the ACT for graduation in many of its schools?
A) Florida
B) Kentucky
C) Colorado
D) Hawaii
Answer: B) Kentucky