Additional Mathematics Knowledge for ASVAB Power Practice Problems

These math knowledge practice questions are based on the actual ASVAB. Take this quiz to see how you would do if you took the exam today and to determine your strengths and weaknesses as you plan your study schedule.

Time: 24 minutes

1. What is the area of the following isosceles triangle?



1. 12 square units
2. 15 square units
3. 6 square units
4. 24 square units
2. Which of the following expressions best represents the sum of two numbers, a and b, divided by a third number, c?
   1. a + b ÷ c
   2. (a + b) ÷ c
   3. a÷ (b + c)
   4. a ÷ b + c
3. A line is drawn within a right angle. One angle that is formed by the line and the vertex of the right angle measures 32°. What does the other angle measure?
   1. 148°
   2. 58°
   3. 328°
   4. 45°
4. Change to a whole number.
   1. 16
   2. 10
   3. 8
   4. 4
5. Which number sentence is true?
   1. 0.43 < 0.043
   2. 0.0043 > 0.43
   3. 0.00043 > 0.043
   4. 0.043 > 0.0043
6. What is the mean of the following numbers: 76, 34, 78, and 56?
   1. 244
   2. 61
   3. 49
   4. 56
7. Which of the following terms is best described as a comparison of two numbers?
   1. variable
   2. coefficient
   3. ratio
   4. radical
8. An equation of the form is
   1. an inequality.
   2. a variable.
   3. a proportion.
   4. a monomial.
9. 184 is evenly divisible by
   1. 46
   2. 43
   3. 41
   4. 40
10. The base of a triangle is twice the height of the triangle. If the area is 16 square inches, what is the height?
    1. 4 inches
    2. 8 inches
    3. 12 inches
    4. 16 inches
11. When both six and nine are added to a number, the sum is 49.What is the number?
    1. 15
    2. 14
    3. 43
    4. 21
12. Find the sum of 4x – 7y and 7x + 7y.
    1. 11x
    2. 14y
    3. 11x + 14y
    4. 11x – 14y
13. 13. What is the sum of the measures of the exterior angles of a regular pentagon?
    1. 72°
    2. 108°
    3. 360°
    4. 540°
14. How many inches are there in yards?
    1. 126 inches
    2. 120 inches
    3. 160 inches
    4. 168 inches
15. 1 hour 20 minutes + 3 hours 30 minutes =
    1. 4 hours
    2. 4 hours 20 minutes
    3. 4 hours 50 minutes
    4. 5 hours
16. Which of the following is equivalent to x³ + 6x?
    1. x(x² + 6)
    2. x(x + 6)
    3. x(x² + 6x)
    4. x²(x + 6)
17. What is five and four hundredths written as a decimal?
    1. 0.54
    2. 0.054
    3. 5.4
    4. 5.04
18. The square root of a number is three times four. What is the number?
    1. 100
    2. 121
    3. 144
    4. 169
19. The circumference of a circle is 131.88. Assuming π is 3.14, what is the diameter of the circle?
    1. 42 inches
    2. 44 inches
    3. 46 inches
    4. 48 inches
20. Which of the following is 16% of 789?
    1. 126.24
    2. 12.624
    3. 662.76
    4. 66.276
21. What is the value of x when y = 8 and x =4 + 6y?
    1. 48
    2. 52
    3. 24
    4. 36
22. Thirty-five cents is what percent of $1.40?
    1. 25%
    2. 40%
    3. 45%
    4. 105%
23. Find the perimeter of a regular octagon that has sides measuring 13 centimeters each.
    1. 78 centimeters
    2. 91 centimeters
    3. 104 centimeters
    4. 117 centimeters
24. Which of the following decimals has the greatest value?
    1. 8.241
    2. 8.0241
    3. 8.2
    4. 8.2041
25. What is the value of the expression xy – 6z, when x = –3, y = 6, and z = –5?
    1. –48
    2. 48
    3. –12
    4. 12