ASVAB Math Practice Test 2023

ASVAB Math Practice Test 2023 Free Printable PDF Worksheet: Mathematics Knowledge Question Answers Free Download for Armed Services Vocational Aptitude Battery exam and Armed Forces Qualification Test (AFQT) exam preparation online.

Mathematics Knowledge (MK) tests the ability to solve problems by applying knowledge of mathematical concepts and applications. The problems focus on concepts and algorithms and involve number theory, numeration, algebraic operations and equations, geometry and measurement, and probability. Mathematics Knowledge is one factor that characterizes mathematics comprehension; it also assesses logical thinking.

Actual Exam Content in MK Part

Test Type	Number of Question
ASVAB Paper-and-Pencil	25-items
CAT-ASVAB Test	16-items

ASVAB Mathematics Knowledge Practice Test 2023

The following ASVAB Mathematics Knowledge Practice Test is only for reference purposes, it’s not an actual exam test question. You can download our free ASVAB Math Practice Question in PDF (printable and editable), this will help you to make better ASVAB Test Prep offline. You can also use these files (PDF, DOC) as worksheets.

Name of the Test	ASVAB Practice Test | AFQT Practice Test
ASVAB Stands for	Armed Services Vocational Aptitude Battery
AFQT Stands for	Armed Forces Qualification Test
Test Type	Sample Multiple Choice Test
Total Questions	25 (twenty-five)
Answers and Explanation	Available
Printable and Editable PDF	Available
Subject Name	Mathematics Knowledge (MK)
Purpose	Measures knowledge of mathematical concepts and applications

ASVAB Math Practice Test 2023

Q1. x + 9 = 13, Find x = ?

• A. 3
• B. 4
• C. 5
• D. 13

Q2. 3² + 4(5 – 2) = ?

• A. 21
• B. 36
• C. 39
• D. 40

Q3.  1 \frac14 × 2 \frac12 = ?

• A. 2 \frac12
• B. 2 \frac14
• C. 2\frac34
• D. 3 \frac18

Q4. The square root of 64 =

• A. 4
• B. −8
• C. 9
• D. −9

Q5. . What is the value of the following expression if x = 2 and y = 4? 

2x³y²

• A. 52
• B. 106
• C. 256
• D. 512

Q6. Add:

3x² + 3xy + 4y + 2y²
3x² + xy + 9y + y²
−5x² − 2xy − 13y + y²
−3x² + 3xy + y − 4y

• A. 2x + xy + 2y + y²
• B. − 2x − xy + y + y²
• C.  −3x² − 2xy − 3y + y²
• D. −2x² + 5xy + y

Q7. Factor the following expression: y² − 16y + 48

• A. (y − 1)(y +48)
• B. (y − 4)(y − 12)
• C. (y − 4)(y + 4)
• D. (y +1)(y − 16)

Q8. Solve for x. 12x + 6 = 8x +10

• A. x = 1
• B. x = 2
• C. x = 4
• D. x = 6

Q9. Solve for the two unknowns.
3y + 3x = 24
6y + 3x = 39

• A. y = 3; x = 5
• B. y = 4; x = 6
• C. y = 5; x = 3
• D. y = 6; x = 2

Q10. x¹² / x⁴

• A. x⁻⁴
• B. x⁸
• C. x¹⁸
• D. x⁻¹⁶

Q11. Solve for y.

y² + 7y = −10

• A. y = −5; y = −2
• B. y = 1; y = −10
• C. y = −2; y = 6
• D. y = 5; y = −1

Q12. Multiply: \frac{6y}{11} × \frac{2}{5x}

• A. 6y + 5x =22
• B. 22y / 5x
• C.  5y/ 22x
• D. 22y / 55x

Q13. Divide: \frac{6x}{11} ÷ \frac{2}{5y}

• A. 3y + 11x =2
• B. 15xy / 11
• C.  12/ 22xy
• D. 11y / 25x

Q14. \sqrt[3]27

• A. 3
• B. 4
• C. 5
• D. 2.25

To answer most questions of this type on the ASVAB, you just need to memorize some basic cubes. It would be wise to memorize all the
cubes from 2 to 10, just to prepare for ASVAB test item possibilities

Q15. Solve for g \fracgh =a

• A. ga / h
• B. g =a/h
• C. g = ah
• D. g = a ÷ h

Q16. Which of the following is an equilateral triangle?

Q17. What is the perimeter of the following rectangle?

• A. 12 m
• B. 18 m
• C. 24 m
• D. 12 m

Q18. What is the circumference of the following circle?

• A. 6.56 m
• B. 12.56 m
• C. 25.12 m
• D. 35.12 m

Q19. In the following equilateral triangle, what is the measure of ∠1?

• A. 30°
• B. 45°
• C. 60°
• D. 90°

20. If ∠1 is 34°, what is the measure of ∠2?

• A. 56°
• B. 110°
• C. 146°
• D. 180°

Q21. In the following right triangle, what is the length of side AB?

• A. 3 m
• B. 5 m
• C. 7 m
• D. 12 m

Q22. What is the area of the following triangle?

• A. 8 ft²
• B. 12 ft²
• C. 15 ft²
• D. 16 ft²

Q23. What is the diameter of the following circle?

• A. 40 cm
• B. 80 cm
• C. 160 cm
• D. 640 cm

Q24. If lines A and B are parallel and are intersected by line C and ∠2 is 30°, what is the measure of ∠7?

• A. 30°
• B. 50°
• C. 112°
• D. 130°

Q25. What is the volume of a cylinder with a height of 15 m and a radius of 5 m?

• A. 235.50 m³
• B. 1,177.50 m³
• C. 1,280.25 m³
• D. 1,340.25 m³

Download ASVAB Math Practice Test 2023

Document Type	Download Link
Free Editable Doc File
Free Printable PDF File

See also:

• ASVAB General Science Practice Test 
• ASVAB Arithmetic Reasoning Practice Test
• ASVAB Word Knowledge Practice Test
• ASVAB Paragraph Comprehension Practice Test 
• ASVAB Mathematics Knowledge Practice Test 
• ASVAB Electronics Information Practice Test
• ASVAB Auto and Shop Practice Test
• ASVAB Mechanical Comprehension Practice Test