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