FREE ASVAB Math Practice Test

For this practice test, we’ve selected 20 real questions from past exams for your ASVAB Mathematics Practice test. You will have the chance to try out the most common ASVAB Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free ASVAB Math practice tests and study resources (updated for 2026) to ace the ASVAB Math test! Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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1- What is the perimeter of a rectangle with a length of \(90\) cm and a width of \(30\) cm?

A. \(180\) cm

B. \(240\) cm

C. \(270\) cm

D. \(2700\) cm

2- A truck drives at an average speed of \(16.2\) miles per hour for \(2.1\) hours. To the nearest whole mile, how far did the truck travel?

A. \(32\)

B. \(34\)

C. \(36\)

D. \(38\)

3- Which of the following numbers, when multiplied by \(6\), gives a result greater than \(120\) and less than \(180\)?

A. \(20\)

B. \(26\)

C. \(30\)

D. \(34\)

4- A teacher has \(120\) books. After donating \(12\) books, how many groups of \(12\) books does she have left?

A. \(9\)

B. \(10\)

C. \(11\)

D. \(12\)

5- Nicole’s hourly wage increased from $7.50 to $7.75. What was the percent of Nicole’s raise?

A. \(2\%\)

B. \(1.67\%\)

C. \(3.33\%\)

D. \(6.66\%\)

6- A snack machine accepts only quarters. Candy bars cost 25¢, a package of peanuts costs 75¢, and a can of cola costs 50¢. How many quarters are needed to buy two Candy bars, one package of peanuts, and one can of cola?

A. 8 quarters

B. 7 quarters

C. 6 quarters

D. 5 quarters

7- The hour hand of a watch rotates \(30\) degrees every hour. How many complete rotations does the hour hand make in \(8\) days?

A. \(12\)

B. \(14\)

C. \(16\)

D. \(18\)

8- Camille uses a \(30\%\) off coupon when buying a sweater that costs $50. If she also pays \(5\%\) sales tax on the purchase, how much does she pay?

A. $35

B. $36.75

C. $39.95

D. $47.17

9-Solve:\((x + 7)(x + 5)\) = ?

A. \(x^2 + 12x + 12\)

B. \( 2x + 12x + 12\)

C. \(x^2 + 35x + 12\)

D. \(x^2 + 12x + 35\)

10- Convert \(670,000\) to scientific notation?

A. \(6.70 × 1000\)

B. \(6.70 × 10^{−5}\)

C. \(6.70 × 100\)

D. \(6.7 × 10^5\)

11- What is the perimeter of the triangle in the provided diagram?
\(\)

A. \(15,625\)

B. \(625\)

C. \(75\)

D. \(25\)

12- If \(x\) is a positive integer divisible by \(6\), and \(x < 60\), what is the greatest possible value of \(x\)?

A. \(54\)

B. \(48\)

C. \(36\)

D. \(59\)

13- There are two pizza ovens in a restaurant. Oven 1 burns four times as many pizzas as oven 2. If the restaurant had a total of 15 burnt pizzas on Saturday, how many pizzas did oven 2 burn?

A. 3

B. 6

C. 9

D. 12

14- Which of the following is an obtuse angle?

A. \(56^\circ\)

B. \(72^\circ\)

C. \(123^\circ\)

D. \(211^\circ\)

15- What is \(5231.48245\) rounded to the nearest tenth?

A. \(5231.482\)

B. \(5231.5\)

C. \(5231\)

D. \(5231.48\)

16- A circle has a diameter of 16 inches. What is its approximate area? \((π = 3.14)\)

A. 200.96

B. 100.48

C. 64.00

D. 12.56

17- Which of the following is the correct calculation for 7!?

A. \(7 × 6 × 5 × 4 × 3 × 2 × 1\)

B. \(1 × 2 × 3 × 4 × 5 × 6\)

C. \(0 × 1 × 2 × 3 × 4 × 5 × 6 × 7\)

D. \(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8\)

18- The equation of a line is given as: \(y=5x-3\). Which of the following points does not lie on the line?

A. \((1, 2)\)

B. \((−2, −13)\)

C. \((3, 18)\)

D. \((2, 7)\)

19- What is the distance between the points \((1, 3)\) and \((−2, 7)\)?

A. 3

B. 4

C. 5

D. 6

20- Solve:\(x^2 – 81 = 0\), \(x\) could be?

A. 6

B. 9

C. 12

D. 15

Best ASVAB Math Prep Resource for 2027

Answers:

2- B
\(Speed =\frac{distance}{time }\)
\(16.2=\frac{distance}{2.1}⇒ distance=16.2×2.1=34.02\)
Rounded to a whole number, the answer is \(34\).

3- B
Let’s review the choices provided and find their sum.
\(a. 20 × 6 = 120\)
\(b. 26 × 6 = 144\) ⇒ is greater than 120 and less than 180
\(c. 30 × 6 = 180\)
\(d. 34 × 6 = 204\)
Only choice b gives a number that is greater than 120 and less than 180.

4- A
\(120 – 12 = 108\)
\(\frac{108}{12} = 9\)

5- C
percent of change = \(\frac{change}{original \space number}\)
\(7.75 – 7.50 = 0.25\)
percent of change = \(\frac{0.25}{7.50}\) = 0.0333
\(⇒ 0.0333 × 100 = 3.33\%\)

6- B
Two candy bars costs 50¢ and a package of peanuts cost 75¢ and a can of cola costs 50¢. The total cost is: \( 50 + 75 + 50 = 175\)
175 is equal to 7 quarters. \(7 × 25 = 175\)

7- C
Every day the hour hand of a watch makes 2 complete rotation. Thus, it makes 16 complete rotations in 8 days.
\(2 × 8 = 16\)

8- B
\(30\% × 50 =\frac{30}{100} × 50 = 15 \)
The coupon has $15 value. Then, the selling price of the sweater is $35.
\(50 – 15 = 35\)
Add \(5\%\) tax, then:
\(\frac{5}{100} × 35 = 1.75 \) for tax
then:
\(35 + 1.75 = $36.75\)

9- D
Use FOIL (First, Out, In, Last) method.
\((x + 7)(x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 35\)

10- D
In scientific notation form, numbers are written with one whole number times 10 to the power of a whole number. Number 670,000 has 6 digits. Write the number and after the first digit put the decimal point. Then, multiply the number by 10 to the power of 5 (number of remaining digits). Then:
\(670,000 = 6.7 × 10^5\)

11- C
Perimeter of a triangle = side 1 + side 2 + side 3 \(= 25 + 25 + 25 = 75\)

12- A
From the choices provided, 36, 48 and 54 are divisible by 6. From these numbers, 54 is the biggest.

13- A
Oven 1 = 4 oven 2
If Oven 2 burns 3 then oven 1 burns 12 pizzas.\( 3 + 12 = 15\)

14- C
An obtuse angle is an angle of greater than \(90^\circ\) and less than \(180^\circ\).

15- B
5231.48245 rounded to the nearest tenth equals 5231.5
(Because 5231.48 is closer to 5,231.5 than 5,231.4)

16-A
Diameter = 16
then: Radius = 8
Area of a circle =\(πr^2\) ⇒ \(A = 3.14(8)^2 = 200.96\)

17- A
\(7! = 7 × 6 × 5 × 4 × 3 × 2 × 1\)

18- C
Let’s review the choices provided. Put the values of \(x\) and \(y\) in the equation.
A. \((1, 2) ⇒ x = 1 ⇒ y = 2\) This is true!
B. \((−2, −13) ⇒ x = -2 ⇒ y = -13\) This is true!
C. \((3, 18) ⇒ x = 3 ⇒ y = 12\) This is not true!
D. \((2, 7) ⇒ x = 2 ⇒ y = 7\) This is true!

19- C
Use distance formula:
\(d=\sqrt{((x_1-x_2)^2+(y_1-y_2)^2 )} = \sqrt{((1-(-2))^2+(3-7)^2 )}\)
\(\sqrt{(9+16)} = \sqrt{25} = 5\)

20- B
\((x^2 \space – \space 81 = 0 ⇒ x^2 = 81 )\) ⇒ \(x\) could be \(9\) or \(-9\).

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Recommended EffortlessMath Books

If you want a structured workbook to study alongside this practice test, the ASVAB Math for Beginners (resource currently unavailable) walks through every AR and MK topic. For full AFQT prep with multiple full-length practice tests, see the ASVAB Math Test Prep Bundle.

Frequently Asked Questions

Is there math on the ASVAB?

Yes. The ASVAB has two math subtests: Arithmetic Reasoning, which is mostly word problems, and Mathematics Knowledge, which tests algebra, geometry and number concepts directly. Both count toward your AFQT score, which is calculated as 2 × VE + AR + MK and decides whether you can enlist. That makes the math sections half of the core score every branch looks at.

What kind of math is on the ASVAB?

ASVAB math is mostly high school level. Arithmetic Reasoning covers percents, ratios, rates, averages and multi-step word problems, such as a car traveling 180 miles in 3 hours at 60 mph. Mathematics Knowledge covers exponents, solving and factoring equations, area and volume, angles and number properties. There is no calculus or trigonometry, but you need strong mental arithmetic.

How many questions are on the ASVAB practice test?

It depends on the practice test. This free ASVAB math practice test has 20 questions mixing Arithmetic Reasoning and Mathematics Knowledge items. The real number of questions differs between the computer-adaptive CAT-ASVAB and the paper version, and the official ASVAB website lists the current question counts and time limits for each subtest, so check there before test day.

Is there a free printable ASVAB math practice test?

Yes. These ASVAB math practice questions and their step-by-step answers can be printed and worked with a pencil, which is good preparation because calculators are not allowed on any ASVAB subtest. Time yourself, then sort your mistakes into word problem setup errors and pure algebra or arithmetic errors, since those point to different study fixes.

Is there a free ASVAB arithmetic reasoning practice test?

Yes, the word problems in this practice test are Arithmetic Reasoning style. A typical AR item: a shirt costs $40 and is 25% off, so the sale price is 40 − 10 = $30. To improve, read each problem twice, write down what it asks for, and estimate before calculating so you can spot an unreasonable answer choice quickly.

Where can I take the ASVAB practice test online?

The official ASVAB program website posts free sample questions for each subtest, and recruiters can often arrange a practice test as well. For math, online practice such as this ASVAB set, with full explanations, helps you check your readiness. Work without a calculator so your practice matches the real test conditions.

Related EffortlessMath Lessons

If a topic on this practice test feels rusty, these short lessons go deeper:

• ASVAB Math Formula Cheat Sheet
• How to use the Pythagorean theorem
• How to use the quadratic formula
• Rules of exponents
• Order of operations (PEMDAS)