Geometry Review for Armed Services Vocational Aptitude Battery (ASVAB) Study Guide

Typically, there are very few geometry problems on the math test. The problems that are included tend to cover the basics: lines, angles, triangles, rectangles, squares, and circles. You may be asked to find the area or perimeter of a particular shape or the size of an angle. The arithmetic involved is pretty simple, so all you really need are a few definitions and formulas.

Glossary of Geometry Terms

Practice Problems

Try your hand at these sample problems.

1. What is the area in inches of a triangle with base 10" and height 8"?

a. 80

b. 40

c. 20

d. 10

e. 8

2. Find the perimeter of a triangle with sides of length 4, 6, and 8 units.

a. 50 units

b. 18 units

c. 12 units

d. 8 units

e. 7 units

3. If the area of a square field measures 256 square feet, how many feet of fencing are needed to completely surround the field?

a. 256

b. 128

c. 64

d. 32

e. It cannot be determined.

4. The length of a rectangle is twice its width. If the perimeter of the rectangle is 30 units, what is the width of the rectangle?

a. 30

b. 20

c. 15

d. 10

e. 5

5. A circular opening has a diameter of 12.5 inches. What is the radius in inches of a circular disk that will exactly fit into the opening?

a. 15

b. 12.5

c. 8

d. 6.25

e. 4

6. The radius of a hoop is 10". If you roll the hoop along a straight path through 6 complete revolutions, approximately how far will it roll, in inches? (Use a value of 3.14 for π.)

a. 31.4

b. 62.8

c. 188.4

d. 376.8

e. 1,884

Answers

1. b

2. b

3. c

4. e

5. d

6. d