1|Page
ASVAB MATHEMATICS KNOWLEDGE (MK) PRACTICE
EXAMINATION STUDY GUIDE | LATEST UPDATE 2026/2027 |
ACTUAL EXAM | PRACTICE QUESTIONS AND ANSWERS |
EXAM REVIEW | 100% CORRECT ANSWERS | 2026 A+
GUARANTEED.
This comprehensive practice examination is designed for candidates preparing for the ASVAB
Mathematics Knowledge (MK) subtest. The MK section assesses high school-level
mathematical skills including arithmetic, algebra, geometry, and basic word problems. This
practice test contains 100 carefully crafted questions that mirror the format, difficulty, and
content distribution of the actual ASVAB MK exam. Each question includes a detailed
explanation to reinforce fundamental concepts, identify common pitfalls, and build
confidence. The questions progress from foundational arithmetic to more advanced algebraic
and geometric reasoning, providing a thorough review of the knowledge required to achieve a
competitive score. Use this guide to assess your readiness, target weak areas, and master the
mathematical principles tested on the ASVAB.
Table of Contents
1. Arithmetic Operations and Number Properties
2. Fractions, Decimals, and Percentages
3. Exponents and Square Roots
4. Algebraic Expressions and Equations
5. Inequalities and Word Problems
6. Geometry: Lines, Angles, and Triangles
7. Geometry: Area, Perimeter, and Volume
8. Coordinate Geometry and Pythagorean Theorem
9. Ratios, Proportions, and Averages
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10. Advanced Problem Solving and Mixed Concepts
1: What is the value of 7 × 8 + 12 ÷ 4?
A) 17
B) 59
C) 62
D) 56
Correct Answer: B
Using order of operations (PEMDAS), first multiply and divide from left to right: 7 × 8 = 56,
then 12 ÷ 4 = 3. Finally add: 56 + 3 = 59. Options A and D ignore the correct order, and C
incorrectly multiplies before dividing but then adds wrong.
2: Simplify: 3(2x - 4) + 5x
A) 11x - 4
B) 11x - 12
C) 6x - 12 + 5x
D) 21x - 12
Correct Answer: B
Distribute the 3: 3(2x) - 3(4) = 6x - 12. Then add the 5x: 6x + 5x = 11x, so the simplified
expression is 11x - 12. Option A incorrectly adds -4 instead of -12, C is unsimplified, D
incorrectly multiplies 3 × 2x × 5x.
3: A rectangle has a length of 12 inches and a width of 8 inches. What is its area?
A) 20 square inches
B) 40 square inches
C) 96 square inches
D) 80 square inches
,3|Page
Correct Answer: C
Area of a rectangle is length × width = 12 × 8 = 96 square inches. Option A adds length and
width, B is 2(length + width) which is perimeter, D is 10 × 8 incorrectly.
4: Solve for x: 5x - 3 = 22
A) x = 3
B) x = 4
C) x = 5
D) x = 6
Correct Answer: C
Add 3 to both sides: 5x = 25. Divide by 5: x = 5. Option A is 22/5 incorrectly, B is 20/5, D is
30/5.
5: What is 15% of 80?
A) 8
B) 12
C) 15
D) 20
Correct Answer: B
15% = 0.15, so 0.15 × 80 = 12. Option A is 10% of 80, C is the percentage number itself, D is
25% of 80.
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6: Which of the following fractions is equal to 0.625?
A) 3/8
B) 5/8
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C) 5/16
D) 7/16
Correct Answer: B
0.625 = 625/1000, which reduces by dividing numerator and denominator by 125: 625÷125 =
5, 1000÷125 = 8, so 5/8. Option A is 0.375, C is 0.3125, D is 0.4375.
7: The sum of two consecutive integers is 47. What are the integers?
A) 22 and 25
B) 23 and 24
C) 21 and 26
D) 20 and 27
Correct Answer: B
Let the first integer be x, then the second is x+1. x + (x+1) = 47 → 2x+1=47 → 2x=46 → x=23,
so the integers are 23 and 24. Option A sums to 47 but not consecutive, C and D are not
consecutive.
8: What is the value of 2³ + 3²?
A) 10
B) 12
C) 17
D) 25
Correct Answer: C
2³ = 8, 3² = 9, sum = 17. Option A incorrectly adds 2+3=5 then squares, B is 8+4, D is 5².
9: A triangle has angles measuring 45° and 60°. What is the measure of the third angle?
A) 45°
B) 55°
ASVAB MATHEMATICS KNOWLEDGE (MK) PRACTICE
EXAMINATION STUDY GUIDE | LATEST UPDATE 2026/2027 |
ACTUAL EXAM | PRACTICE QUESTIONS AND ANSWERS |
EXAM REVIEW | 100% CORRECT ANSWERS | 2026 A+
GUARANTEED.
This comprehensive practice examination is designed for candidates preparing for the ASVAB
Mathematics Knowledge (MK) subtest. The MK section assesses high school-level
mathematical skills including arithmetic, algebra, geometry, and basic word problems. This
practice test contains 100 carefully crafted questions that mirror the format, difficulty, and
content distribution of the actual ASVAB MK exam. Each question includes a detailed
explanation to reinforce fundamental concepts, identify common pitfalls, and build
confidence. The questions progress from foundational arithmetic to more advanced algebraic
and geometric reasoning, providing a thorough review of the knowledge required to achieve a
competitive score. Use this guide to assess your readiness, target weak areas, and master the
mathematical principles tested on the ASVAB.
Table of Contents
1. Arithmetic Operations and Number Properties
2. Fractions, Decimals, and Percentages
3. Exponents and Square Roots
4. Algebraic Expressions and Equations
5. Inequalities and Word Problems
6. Geometry: Lines, Angles, and Triangles
7. Geometry: Area, Perimeter, and Volume
8. Coordinate Geometry and Pythagorean Theorem
9. Ratios, Proportions, and Averages
,2|Page
10. Advanced Problem Solving and Mixed Concepts
1: What is the value of 7 × 8 + 12 ÷ 4?
A) 17
B) 59
C) 62
D) 56
Correct Answer: B
Using order of operations (PEMDAS), first multiply and divide from left to right: 7 × 8 = 56,
then 12 ÷ 4 = 3. Finally add: 56 + 3 = 59. Options A and D ignore the correct order, and C
incorrectly multiplies before dividing but then adds wrong.
2: Simplify: 3(2x - 4) + 5x
A) 11x - 4
B) 11x - 12
C) 6x - 12 + 5x
D) 21x - 12
Correct Answer: B
Distribute the 3: 3(2x) - 3(4) = 6x - 12. Then add the 5x: 6x + 5x = 11x, so the simplified
expression is 11x - 12. Option A incorrectly adds -4 instead of -12, C is unsimplified, D
incorrectly multiplies 3 × 2x × 5x.
3: A rectangle has a length of 12 inches and a width of 8 inches. What is its area?
A) 20 square inches
B) 40 square inches
C) 96 square inches
D) 80 square inches
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Correct Answer: C
Area of a rectangle is length × width = 12 × 8 = 96 square inches. Option A adds length and
width, B is 2(length + width) which is perimeter, D is 10 × 8 incorrectly.
4: Solve for x: 5x - 3 = 22
A) x = 3
B) x = 4
C) x = 5
D) x = 6
Correct Answer: C
Add 3 to both sides: 5x = 25. Divide by 5: x = 5. Option A is 22/5 incorrectly, B is 20/5, D is
30/5.
5: What is 15% of 80?
A) 8
B) 12
C) 15
D) 20
Correct Answer: B
15% = 0.15, so 0.15 × 80 = 12. Option A is 10% of 80, C is the percentage number itself, D is
25% of 80.
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6: Which of the following fractions is equal to 0.625?
A) 3/8
B) 5/8
, 4|Page
C) 5/16
D) 7/16
Correct Answer: B
0.625 = 625/1000, which reduces by dividing numerator and denominator by 125: 625÷125 =
5, 1000÷125 = 8, so 5/8. Option A is 0.375, C is 0.3125, D is 0.4375.
7: The sum of two consecutive integers is 47. What are the integers?
A) 22 and 25
B) 23 and 24
C) 21 and 26
D) 20 and 27
Correct Answer: B
Let the first integer be x, then the second is x+1. x + (x+1) = 47 → 2x+1=47 → 2x=46 → x=23,
so the integers are 23 and 24. Option A sums to 47 but not consecutive, C and D are not
consecutive.
8: What is the value of 2³ + 3²?
A) 10
B) 12
C) 17
D) 25
Correct Answer: C
2³ = 8, 3² = 9, sum = 17. Option A incorrectly adds 2+3=5 then squares, B is 8+4, D is 5².
9: A triangle has angles measuring 45° and 60°. What is the measure of the third angle?
A) 45°
B) 55°
