The Arithmetic Reasoning subtest on the ASVAB measures your ability to pull information from word problems and solve mathematical concepts in real-world situations. Like the Mathematics Knowledge subtest, it formulates a big part of your AFQT score, and it’s also used to help determine which jobs you’ll be most suited for when you’re in the military.    The Arithmetic Reasoning subtest requires you to read a word problem, figure out what mathematical concept it’s asking you to use, and arrive at the correct answer. It includes questions that involve fact-finding, algebra, and geometry. This... Show more

The Arithmetic Reasoning subtest on the ASVAB measures your ability to pull information from word problems and solve mathematical concepts in real-world situations. Like the Mathematics Knowledge subtest, it formulates a big part of your AFQT score, and it’s also used to help determine which jobs you’ll be most suited for when you’re in the military.   

The Arithmetic Reasoning subtest requires you to read a word problem, figure out what mathematical concept it’s asking you to use, and arrive at the correct answer. It includes questions that involve fact-finding, algebra, and geometry. This quiz covers geometry.

You have 39 minutes to work through 16 Arithmetic Reasoning questions on the computerized ASVAB or 36 minutes to complete 30 questions on the paper ASVAB. Calculators are not allowed.   

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ASVAB Arithmetic Reasoning Practice Test: Geometry

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25 Questions

1. A circle's area is 379.94 square millimeters. What is the circle's diameter?

33 millimeters39 millimeters22 millimeters11 millimeters

2. The area of a trapezoid is 52 square inches. The bases are 11 inches and 15 inches. What is the trapezoid's height?

9 in.8 in.5 in.4 in.

3. A can of soda has a diameter of 10 cm and a height of 15 cm. What is the volume of the soda in the can if 1 cm of space is left at the top of the can?

999 cm31,350 cm31,099 cm31,031 cm3

4. The angles depicted here are
are

supplementary.congruent.None of the above are correct.complementary.

5. What is the measurement of an inscribed angle made of chords and , where the intercepted arc is 100 degrees?

200 degrees150 degrees50 degrees53 degrees

6. The measure of one supplementary angle, , is twice the measure of its counterpart, . What is the measure of ?

60 degrees150 degrees90 degrees120 degrees

7. A square has an area of 49 square centimeters. How long is each side?

8 cm5 cm7 cm4.9 cm

8. A 48-square-foot rectangle with a length of 8 feet and a height of 6 feet is increased by 13 feet on each side. What is the new rectangle's area?

399 ft2624 ft2209 ft2247 ft2

9. Tim has to lay sod on a customer's lawn. After measuring, he finds that the customer's lawn has two parallel sides (one is 80 feet long, and the other is 120 feet long) that are connected by a straight, 90-foot perpendicular border. The remaining border connects the other ends of the two parallel sides. What is the area of the customer's lawn?

7,990 square feet8,500 square feet9,000 square feet8,125 square feet

10. A round puddle with a diameter of 8 inches evaporates in the hot sun. For each half hour of evaporation, its diameter shrinks by an inch. After an hour and a half, what is the puddle's approximate area?

24.04 in.217.5 in.221.3 in.219.6 in.2

11. Mandy is folding a note in class to give to Peter. She needs to smuggle it past her teacher, who can usually see notes that have an area of 5 square inches or greater. If Mandy folds the note into a triangle so it has a base of 2 inches and a height of 3 inches, what will its area be?

1.6 in.23 in.26 in.24.8 in.2

12. Deedee needs to sweep her porch, which is 8 feet long and 12 feet wide. How many square feet will she have swept when she's finished with the entire porch?

None of these96 ft2102 ft298 ft3

13. Emil's mom, Bertha, wants him to build a rectangular garden in her backyard by walling off an area with planks. She wants it to cover an area of 162 square feet with an 18-foot border on at least one side. If the garden is 18 feet long, what is its width?

18.5 feet9 feet10 feet9.5 feet

14. One side of a square is doubled in length, and the adjacent side is tripled. The area of the resulting rectangle is 125 square centimeters greater than the area of the original square. How long is the rectangle's longest side?

12.5 cm14 cm12 cm15 cm

15. A circle's radius is 6 centimeters. What is the circle's circumference?

10 cm6 cm

16. In a triangle measured in centimeters, the lengths of the sides are all consecutive integers. The perimeter is eight more than twice the shortest side. What is the triangle's perimeter?

16.5 cm18 cm20.5 cm15 cm

17. Krystal called Woody's Fences Inc. to order a new fence for her 13,950-square-foot garden. She ordered 486 feet of fencing. She wants the fence to be white on the side of the garden that faces the street, which is narrower than the side that doesn't face the street; the rest will be green. How much white fencing will Woody's Fences Inc. need to send with the workers?

93 feet99 feet96 feet90 feet

18. If you walk around an entire city block that measures 1,234 feet on each side, how far have you walked?

5,103 feet5,280 feet4,572 feet4,936 feet

19. A parallelogram's area is 24 square inches, and its base is 4 inches. What is the parallelogram's height?

8 in.4.4 in.6 in.20 in.

20. Find the measure of ?C in a triangle with measuring 38 degrees and measuring 47 degrees.

90 degrees88 degrees95 degrees91 degrees

21. The radius of a circle is 8 centimeters. What is the circumference of the circle?

40.22 cm55.78 cm27.38 cm50.24 cm

22. Find the surface area of a cube with edges measuring 18 centimeters each.

1,850 cm22,112 cm21,944 cm22,242 cm2

23. In a triangle, the angle with the least measure is one-third of the measure of the second angle, which is 5 degrees less than the measure of the greatest angle. What is the measure of the largest angle in the triangle?

77 degrees75 degrees79 degrees80 degrees

24. Find the approximate volume of a sphere that has a diameter of 10 inches.

523.33 in.3501 in.3542.66 in.3None of the above

25. The lengths of two adjacent sides of a kite are 24.5 inches and 30.4 inches. What is the kite's perimeter?

117.2 in.111 in.108.9 in.109.8 in.