AFOQT Math Knowledge Practice Test 2025

Last Updated on December 21, 2024

AFOQT Math Knowledge Practice Test (Sample Question Answer) Try our free online quiz for the Air Force Officer Qualifying Test (AFOQT) Mathematics Knowledge Practice test. This quiz includes 25 questions with a time limit of 23 minutes, allowing you to simulate real test conditions.

You can instantly check your live score at the end of the quiz. No registration is required; click the “Start Quiz” button to begin. Use this resource to practice and improve your verbal analogy skills for the AFOQT.

AFOQT Math Knowledge Practice Test 2025

Test Name	AFOQT Practice Test
Section	Math Tests
Practice Test Type	Quiz
Total Questions	25 MCQs
Time Limit	23 minutes
Question Type	Sample Questions
Answers	Yes
Printable PDF	N/A

AFOQT Mathematics Knowledge Practice Test

AFOQT Mathematics Knowledge Practice Test
Total Items: 25 (Multiple Choice Questions)
Time Limit: 23 Minutes

This is a test of your ability to solve general mathematics problems. You are to select the correct response from the choices given. Then mark the space on your answer sheet that has the same number and letter as your choice. Use your scratch paper to do any figuring you wish to do.

Your score on this test will be based on the number of questions you answer correctly. You should try to answer every question. DO NOT SPEND TOO MUCH TIME on any one question. If you finish before time is called, go back and check your work in this part ONLY.

1 / 25

x + 9 = 14, x = ?

2 / 25

3² + 4(6 – 3) =

3 / 25

$2 \frac14 × 2 \frac12$

3 1/4

3 2/2

5 5/8

4 / 25

The square root of 121 =

-8

-11

5 / 25

What is the value of the following expression if x = 3 and y = 4?

2x³y²

112

256

864

912

6 / 25

Add: 3x² + 3xy + 4y + 2y² + 3x² + xy + 9y + y²

2x² + 4xy + y + 3y²

6x² + 4xy + 13y +3y²

2x² + 5xy + 2y + 2y²

4x² + 5xy + y

7 / 25

Factor the following expression: y² –16y + 48

(y – 1)(y + 48)

(y – 4)(y – 12)

(y – 4)(y + 4)

(y + 1)(y – 16)

8 / 25

Solve for x.

12x – 6 = 8x + 10

x = 1

x = 2

x = 4

x = 6

9 / 25

Solve for the two unknowns.

3y + 3x = 24
6y + 3x = 39

y = 3; x = 5

y = 4; x = 6

y = 5; x = 3

y = 6; x = 2

10 / 25

$\frac{x^{13}} {x^{5}}$

x^-8

x⁸

x¹⁸

x^-18

11 / 25

Solve for y. y² + 7y = –10

y = –5; y = –2

y = 1; y = – 10

y = –2; y = 6

y = 5; y = –1

12 / 25

$\sqrt[3]27$

2.25

13 / 25

$\frac{6y}{10} ÷ \frac{3}{5x}$

xy/11

15xy/11

30xy

14 / 25

$\frac{6y}{10} × \frac{3}{5x}$

6y + 5x = 30

2y + 55x

9y/25x

3y/5x

15 / 25

Solve for g. $\fracgh = a$

g = ah

g = a − h

g = a + h

g = a/h

16 / 25

Which of the following is an isosceles triangle?

17 / 25

What is the perimeter of the following rectangle?

12 m

18 m

24 m

28 m

18 / 25

What is the circumference of the following circle?

6.56 m

12.56 m

25.12 m

35.12 m

19 / 25

In an equilateral triangle, what is the measure of each angle?

30°

45°

60°

90°

20 / 25

In the figure below, if ∠1 is 33° , what is the measure of ∠2?

56°

110°

147°

180°

21 / 25

In the following right triangle, what is the length of side AB?

3 m

5 m

7 m

12 m

22 / 25

What is the area of the following triangle?

8 ft²

12 ft²

15 ft²

16 ft²

23 / 25

What is the diameter of the following circle?

40 cm

80 cm

160 cm

180 cm

24 / 25

If lines A and B are parallel and are intersected by line C and 2 is 31°, what is the measure of 7?

31°

50°

111°

149°

25 / 25

What is the volume of a cylinder with a height of 15 m and a radius of 5 m?

235.50 m³

1,177.50 m³

1,280.25 m³

1,340.25 m³

Your score is

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