Free ASVAB Math Practice Test 2026 (With Answers & Solutions)
Free ASVAB Math Practice Test (With Answers & Step-by-Step Solutions)
Test your skills with 10 ASVAB-style math questions — each with a worked solution — then keep practicing with free worksheets and study books.
What’s on the ASVAB Math Test?
The ASVAB (Armed Services Vocational Aptitude Battery) determines which military jobs you qualify for and whether you can enlist. Two of its subtests are math, and both count toward your all-important AFQT score.
Arithmetic Reasoning (AR) is made of word problems — ratios, rates, percentages, proportions, and basic algebra in real situations. Mathematics Knowledge (MK) tests algebra, geometry, exponents, and number properties directly.
On the computer-adaptive CAT-ASVAB there are about 15 questions per subtest (the paper version has more). A calculator is not allowed, so build your mental-math speed.
Scoring: AR and MK combine with the verbal subtests to form your AFQT percentile (1–99). Each branch sets a minimum (often around 31–36+) — higher scores open more jobs.
A Simple 4-Week ASVAB Math Study Plan
Free ASVAB Math Practice Test
Work through 10 ASVAB-style questions one at a time. Answer, tap Show answer, then press Next.
A truck travels 240 miles in 4 hours. What is its average speed?
- A) 50 mph
- B) 55 mph
- C) 60 mph
- D) 65 mph
Show answer
Solve: 2x − 7 = 9.
- A) 6
- B) 7
- C) 8
- D) 9
Show answer
A $50 jacket is 20% off. What is the sale price?
- A) $30
- B) $38
- C) $40
- D) $45
Show answer
What is 4²?
- A) 8
- B) 12
- C) 16
- D) 24
Show answer
If 3 pounds of apples cost $6, how much do 5 pounds cost?
- A) $8
- B) $9
- C) $10
- D) $12
Show answer
Area of a rectangle 7 by 5?
- A) 12
- B) 24
- C) 35
- D) 70
Show answer
What is 2/3 of 90?
- A) 30
- B) 45
- C) 60
- D) 75
Show answer
Solve: x² − 5x + 6 = 0.
- A) 1 and 6
- B) 2 and 3
- C) −2 and −3
- D) 5 and 6
Show answer
Two numbers are in a 3 : 2 ratio and total 20. What is the larger number?
- A) 8
- B) 10
- C) 12
- D) 15
Show answer
Solve: 6x = 42.
- A) 6
- B) 7
- C) 8
- D) 9
Show answer
Nice work — you finished all 10!
Keep practicing with free math worksheets.
Practice by Topic
Find your weak spots, then drill each with our free math worksheets:
Free ASVAB Math Resources
Related ASVAB Math Books
Browse our ASVAB Math library — scroll for more, or see all books.
ASVAB Math Formulas You Should Know
- Percent: part = percent × whole.
- Distance: distance = rate × time.
- Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ 2a.
- Area: rectangle = l × w; triangle = ½bh; circle = πr².
- Pythagorean theorem: a² + b² = c².
- Exponent rules: xᵃ·xᵇ = xᵃ⁺ᵇ; (xᵃ)ᵇ = xᵃᵇ.
Tips to Boost Your ASVAB Math Score
- No calculator — drill arithmetic and estimation.
- AR and MK both feed the AFQT — don’t neglect either.
- Translate word problems into equations.
- Know your branch’s minimum AFQT and aim higher for more job options.