TheoryASVAB
Practice Test
Practice for the ASVAB military entrance test: original questions on arithmetic, math, word knowledge, paragraph comprehension, science and mechanical.
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ASVAB exam — full Q&A walkthrough
Every question read aloud with the answer explained. Play it on your commute, then test yourself.
30 free ASVAB questions
Sampled across every topic area — not just the first page. Try them as a quiz or flip them as flashcards.
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ASVAB
A carpenter earns $24.50 per hour and works 38 hours in one week. What are his total earnings for that week?
Correct — D. Multiply hourly rate by hours worked: $24.50 × 38 = $931.00. -
ASVAB
A recipe calls for 3/4 cup of sugar to make 24 cookies. How much sugar is needed to make 48 cookies?
Correct — C. Doubling the batch doubles all ingredients: 3/4 × 2 = 1 1/2 cups. -
ASVAB
A fuel tank holds 60 gallons and is currently 2/5 full. How many gallons are in the tank?
Correct — B. Multiply the full capacity by the fraction filled: 60 × 2/5 = 24 gallons. -
ASVAB
A store marks up a jacket that cost $80 wholesale by 35%. What is the selling price?
Correct — A. Markup = 35% of $80 = $28; selling price = $80 + $28 = $108.00. -
ASVAB
A train covers 270 miles in 4.5 hours. At the same speed, how long will it take to cover 420 miles?
Correct — B. Speed = 270 ÷ 4.5 = 60 mph; time for 420 miles = 420 ÷ 60 = 7 hours. -
ASVAB
Two workers can paint a fence together in 6 hours. One worker alone takes 10 hours. How long would the second worker take alone?
Correct — D. Combined rate = 1/6; first worker's rate = 1/10; second worker's rate = 1/6 − 1/10 = 1/15, so the second worker takes 15 hours alone. -
ASVAB
A soldier's base pay is $2,400 per month. After a 12.5% raise, what is the new monthly pay?
Correct — C. Raise = 12.5% of $2,400 = $300; new pay = $2,400 + $300 = $2,700. -
ASVAB
A mixture contains antifreeze and water in a ratio of 3:7. If the total mixture is 15 liters, how many liters of antifreeze are present?
Correct — C. Antifreeze is 3 out of 10 total parts: 15 × (3/10) = 4.5 liters. -
ASVAB
An investor places $5,000 in a simple-interest account at 6% annual interest. How much total interest is earned over 2.5 years?
Correct — B. Simple interest = P × r × t = $5,000 × 0.06 × 2.5 = $750. -
ASVAB
A car travels 180 miles on 6 gallons of gasoline. At this rate, how many gallons are needed to travel 255 miles?
Correct — B. Fuel economy = 180 ÷ 6 = 30 mpg; gallons needed = 255 ÷ 30 = 8.5 gallons. -
ASVAB
A price decreased from $640 to $544. What is the percentage decrease?
Correct — B. Decrease = $96; percentage decrease = (96 ÷ 640) × 100 = 15%. -
ASVAB
A warehouse has 3 shifts. Shift 1 processes 40% of daily inventory, Shift 2 processes 35%, and Shift 3 handles the rest. If Shift 3 processes 500 units, what is the total daily inventory?
Correct — B. Shift 3 handles 100% − 40% − 35% = 25% of inventory; total = 500 ÷ 0.25 = 2,000 units. -
ASVAB
A tank is filled by Pipe A at 1/4 tank per hour and simultaneously drained by Pipe B at 1/6 tank per hour. The tank starts 1/3 full. How many hours until the tank is completely full?
Correct — A. Net fill rate = 1/4 − 1/6 = 1/12 per hour; remaining capacity = 2/3; time = (2/3) ÷ (1/12) = 8 hours. -
ASVAB
A contractor bids a job at $48,000. Materials cost $18,000 and labor accounts for 5/8 of the remaining amount. What is the labor cost?
Correct — A. Amount after materials = $48,000 − $18,000 = $30,000; labor = 5/8 × $30,000 = $18,750. -
ASVAB
A machine produces widgets at a defect rate of 1.5%. In a production run of 8,400 widgets, how many are expected to be defective?
Correct — D. Defective count = 1.5% × 8,400 = 0.015 × 8,400 = 126. -
ASVAB
A loan of $12,000 is taken out at 8% simple annual interest. After some time, the total amount owed (principal + interest) is $14,880. How many years was the loan outstanding?
Correct — B. Interest accrued = $14,880 − $12,000 = $2,880; using I = P × r × t: 2,880 = 12,000 × 0.08 × t, so t = 2,880 ÷ 960 = 3 years. -
ASVAB
A rectangular garden has a length of 12 meters and a width of 7 meters. What is the perimeter of the garden?
Correct — D. Perimeter of a rectangle = 2(length + width) = 2(12 + 7) = 2(19) = 38 meters. -
ASVAB
Which of the following is equivalent to 5² × 5³?
Correct — D. When multiplying powers with the same base, add the exponents: 5² × 5³ = 5^(2+3) = 5⁵. -
ASVAB
Solve for x: 4x − 9 = 19
Correct — D. Add 9 to both sides to get 4x = 28, then divide by 4 to get x = 7. -
ASVAB
A triangle has a base of 10 cm and a height of 6 cm. What is its area?
Correct — B. Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm². -
ASVAB
Which value of x satisfies the equation x² − 5x + 6 = 0?
Correct — A. Factor the quadratic: (x − 2)(x − 3) = 0, giving solutions x = 2 or x = 3. -
ASVAB
A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is the volume of the tank? (Use π ≈ 3.14)
Correct — B. Volume of a cylinder = π × r² × h = 3.14 × 9 × 10 = 282.6 ft³. -
ASVAB
If 2^n = 64, what is the value of n?
Correct — B. Since 2⁶ = 64, n = 6; each successive power of 2 doubles the result: 2, 4, 8, 16, 32, 64. -
ASVAB
Two supplementary angles are in the ratio 2:3. What is the measure of the larger angle?
Correct — B. Supplementary angles sum to 180°; with ratio 2:3 the parts are 2x and 3x, so 5x = 180°, x = 36°, and the larger angle = 3 × 36° = 108°. -
ASVAB
Simplify: (3x²y)(4xy³)
Correct — C. Multiply the coefficients (3 × 4 = 12) and add exponents of like bases: x^(2+1) = x³ and y^(1+3) = y⁴, giving 12x³y⁴. -
ASVAB
If x + y = 10 and xy = 21, what is the value of x² + y²?
Correct — A. Use the identity x² + y² = (x + y)² − 2xy = 100 − 2(21) = 100 − 42 = 58. -
ASVAB
A sphere has a surface area of 144π cm². What is its volume?
Correct — D. Surface area = 4πr² = 144π gives r² = 36, so r = 6; volume = (4/3)πr³ = (4/3)π(216) = 288π cm³. -
ASVAB
Which expression is equivalent to (x² − 9) / (x² − x − 6)?
Correct — A. Factor numerator as (x−3)(x+3) and denominator as (x−3)(x+2); cancel the (x−3) factor to get (x+3)/(x+2). -
ASVAB
What is the value of (27)^(−2/3)?
Correct — A. 27^(1/3) = 3, so 27^(2/3) = 3² = 9; the negative exponent gives the reciprocal: 27^(−2/3) = 1/9. -
ASVAB
An interior angle of a regular polygon measures 150°. How many sides does the polygon have?
Correct — A. For a regular n-gon, interior angle = (n−2)×180/n; setting equal to 150 gives 150n = 180n − 360, so 30n = 360, n = 12.
ASVAB sample questions
Tap any question below to reveal the answer and a plain-English explanation.
ASVAB If 2^n = 64, what is the value of n?
A. 8
B. 6 ✓
C. 7
D. 5
Correct — B. Since 2⁶ = 64, n = 6; each successive power of 2 doubles the result: 2, 4, 8, 16, 32, 64.
ASVAB Two supplementary angles are in the ratio 2:3. What is the measure of the larger angle?
A. 90°
B. 108° ✓
C. 72°
D. 120°
Correct — B. Supplementary angles sum to 180°; with ratio 2:3 the parts are 2x and 3x, so 5x = 180°, x = 36°, and the larger angle = 3 × 36° = 108°.
ASVAB Simplify: (3x²y)(4xy³)
A. 12x³y³
B. 7x³y⁴
C. 12x³y⁴ ✓
D. 12x²y³
Correct — C. Multiply the coefficients (3 × 4 = 12) and add exponents of like bases: x^(2+1) = x³ and y^(1+3) = y⁴, giving 12x³y⁴.
ASVAB If x + y = 10 and xy = 21, what is the value of x² + y²?
A. 58 ✓
B. 100
C. 121
D. 42
Correct — A. Use the identity x² + y² = (x + y)² − 2xy = 100 − 2(21) = 100 − 42 = 58.
ASVAB A sphere has a surface area of 144π cm². What is its volume?
A. 36π cm³
B. 144π cm³
C. 576π cm³
D. 288π cm³ ✓
Correct — D. Surface area = 4πr² = 144π gives r² = 36, so r = 6; volume = (4/3)πr³ = (4/3)π(216) = 288π cm³.
ASVAB Which expression is equivalent to (x² − 9) / (x² − x − 6)?
A. (x + 3)/(x + 2) ✓
B. (x + 3)/(x − 2)
C. (x − 3)/(x + 2)
D. (x − 3)/(x − 2)
Correct — A. Factor numerator as (x−3)(x+3) and denominator as (x−3)(x+2); cancel the (x−3) factor to get (x+3)/(x+2).
ASVAB What is the value of (27)^(−2/3)?
A. 1/9 ✓
B. 1/3
C. 9
D. −9
Correct — A. 27^(1/3) = 3, so 27^(2/3) = 3² = 9; the negative exponent gives the reciprocal: 27^(−2/3) = 1/9.
ASVAB An interior angle of a regular polygon measures 150°. How many sides does the polygon have?
A. 12 ✓
B. 10
C. 9
D. 15
Correct — A. For a regular n-gon, interior angle = (n−2)×180/n; setting equal to 150 gives 150n = 180n − 360, so 30n = 360, n = 12.
About the ASVAB test
Study for the ASVAB (Armed Services Vocational Aptitude Battery) with original practice questions written for this app from the publicly available ASVAB subtest content areas. Every question has a clear explanation.
What you get
- Arithmetic reasoning, mathematics knowledge, word knowledge, paragraph comprehension, general science, and mechanical and electronics concepts.
- A clear explanation for every question.
- Timed practice tests that mirror the real exam style.
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Every question is written for this app from public study material. Nothing is copied from any real exam, test pool or third-party question bank.
You will be tested on
- The core topics and terminology you'll be tested on
- Rules, standards and best-practice procedures
- Real-world scenarios and how to respond
- Common mistakes and how to avoid them
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Topics in this question bank
The core topics and terminology you'll be tested on
Rules, standards and best-practice procedures
Real-world scenarios and how to respond
Common mistakes and how to avoid them
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