ASVAB Math Knowledge Practice Test 216712 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

If a = c = 3, b = d = 7, what is the area of this rectangle?

79% Answer Correctly
64
12
4
21

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 7
a = 21


2

On this circle, line segment CD is the:

46% Answer Correctly

chord

radius

circumference

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

The dimensions of this cube are height (h) = 8, length (l) = 5, and width (w) = 8. What is the surface area?

51% Answer Correctly
288
78
138
118

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 8) + (2 x 8 x 8) + (2 x 5 x 8)
sa = (80) + (128) + (80)
sa = 288


4

Find the value of b:
9b + y = 3
7b - 7y = 1

42% Answer Correctly
-\(\frac{9}{14}\)
\(\frac{11}{35}\)
-1\(\frac{19}{26}\)

Solution

You need to find the value of b so solve the first equation in terms of y:

9b + y = 3
y = 3 - 9b

then substitute the result (3 - 9b) into the second equation:

7b - 7(3 - 9b) = 1
7b + (-7 x 3) + (-7 x -9b) = 1
7b - 21 + 63b = 1
7b + 63b = 1 + 21
70b = 22
b = \( \frac{22}{70} \)
b = \(\frac{11}{35}\)


5

What is 7a - 6a?

79% Answer Correctly
a2
13
13a2
1a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a - 6a = 1a