Preparing for the ACT Math test? Looking for sample ACT Math practice questions? The best way to prepare for your ACT Math test is to work through as many ACT Math practice questions as possible. Here are the top 10 ACT Math practice questions to help you review the most important ACT Math concepts. These ACT Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2021 ACT guidelines. Answers and full explanations are provided at the end of the post.

Start your ACT Math test prep journey right now with these sample ACT Math questions.

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## ACT Math Practice Questions

1- A number is chosen at random from 1 to 25. Find the probability of not selecting a composite number.

A. \(\frac{1}{25}\)

B. 25

C. \(\frac{9}{25}\)

D. 1

E. 0

2- Removing which of the following numbers will change the average of the numbers to 6?

\(1, 4, 5, 8, 11, 12\)

A. 1

B. 4

C. 5

D. 11

E. 12

3- A rope weighs 600 grams per meter in length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)

A. 0.0732

B. 0.732

C. 7.32

D. 7320

E. 73200

4- If \(y = 4ab + 3b^3\), what is y when \(a = 2\) and \(b = 3\)?

A. 24

B. 31

C. 36

D. 51

E. 105

5- If \(f(x) = 5 + x\) and \(g(x) = \ – x^2 – 1 – 2x\), then find \((g – f)(x)\)?

A. \(x^2 – 3x – 6\)

B. \(x^2 – 3x +6\)

C. \(-x^2 – 3x +6\)

D. \(-x^2 – 3x -6\)

E. \(-x^2 +3x -6\)

6- The marked price of a computer is D dollar. Its price decreased by \(20\%\) in January and later increased by \(10\%\) in February. What is the final price of the computer in D dollars?

A. 0.80 D

B. 0.88 D

C. 0.90 D

D. 1.20 D

E. 1.40 D

7- The number 40.5 is 1,000 times greater than which of the following numbers?

A. 0.405

B. 0.0405

C. 0.0450

D. 0.00405

E. 0.000405

8- David’s current age is 42 years, and Ava’s current age is 6 years. In how many years David’s age will be 4 times Ava’s age?

A. 4

B. 6

C. 8

D. 10

E. 14

9- How many tiles of 8 \(cm^2 \) are needed to cover a floor of dimension 6 cm by 24 cm?

A. 6

B. 12

C. 18

D. 24

E. 36

10- What is the median of these numbers? 4, 9, 13, 8, 15, 18, 5

A. 8

B. 9

C. 13

D. 15

E. 20

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## Answers:

1- **C**

Set of number that are not composite between 1 and 25: A\(= \{2, 3, 5, 7, 11, 13, 17, 19, 23\}\)

Probability \(=\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{25}\)

2- **D**

Check each option provided:

A. \(\frac{(4+5+8+11+12)}{5}=\frac{40}{5}=8\)

B. \(\frac{(1+5+8+11+12)}{5}=\frac{37}{5}=7.4\)

C. \(\frac{(1+4+8+11+12)}{5}=\frac{36}{5}=7.2\)

D. \(\frac{1+4+5+8+12}{5}=\frac{30}{5}=6\)

E. \(\frac{1+4+5+8+11}{5}=\frac{29}{5}=5.8\)

3- **C**

The weight of 12.2 meters of this rope is: \(12.2 × 600\) g \(= 7320\) g

\(1\) kg \(= 1000\) g, therefore, \(7320\) g \(÷ 1000 = 7.32\) kg

4- **E**

\(y = 4ab + 3b^3\)

Plug in the values of a and b in the equation: \(a = 2\) and \(b = 3\)

\(y = 4 (2) (3) + 3 (3)3 = 24 + 3(27) = 24 + 81 = 105\)

5- **D**

\((g – f)(x) = g(x) – f(x) = (– x^2 – 1 – 2x) – (5 + x)

– x^2 – 1 – 2x – 5 – x = – x^2 – 3x – 6\)

6- **B**

To find the discount, multiply the number by (\(100\% –\) rate of discount).

Therefore, for the first discount we get: (D) (\(100\% – 20\%\)) = (D) (0.80) = 0.80 D

For increase of \(10\%\): (0.85 D) (\(100\% + 10\%\)) = (0.85 D) (1.10) = 0.88 D = \(88\%\) of D

7- **B**

1000 times the number is 40.5. Let x be the number, then:

\(1000x=40.5\)

\(x =\frac{40.5}{1000}=0.0405\)

8- **B**

Let’s review the options provided.

A. 4. In 4 years, David will be 46 and Ava will be 10. 46 is not 4 times 10.

B. 6. In 6 years, David will be 48 and Ava will be 12. 48 is 4 times 12!

C. 8. In 8 years, David will be 80 and Ava will be 14. 50 is not 4 times 14.

D. 10. In 10 years, David will be 52 and Ava will be 16. 52 is not 4 times 16.

E. 14. In 14 years, David will be 56 and Ava will be 20. 56 is not 4 times 20.

9- **C**

The area of the floor is: 6 cm \(× 24\) cm \(= 144\) cm

The number is tiles needed \(= 144 ÷ 8 = 18\)

10- **B**

Write the numbers in order:

\(4, 5, 8, 9, 13, 15, 18\)

Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.

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