ASVAB Math Knowledge Practice Test 166737 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

The dimensions of this cylinder are height (h) = 8 and radius (r) = 5. What is the surface area?

48% Answer Correctly
24π
130π
60π
144π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 8)
sa = 2π(25) + 2π(40)
sa = (2 x 25)π + (2 x 40)π
sa = 50π + 80π
sa = 130π


2

What is 2a4 + 8a4?

74% Answer Correctly
16a8
10a4
16a4
-6a8

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.

2a4 + 8a4 = 10a4


3

The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 4, and h = 2. What is the area?

50% Answer Correctly
6
21
15
30

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 4)(2)
a = ½(6)(2)
a = ½(12) = \( \frac{12}{2} \)
a = 6


4

If a = c = 1, b = d = 3, what is the area of this rectangle?

79% Answer Correctly
56
5
3
12

Solution

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

a = l x w
a = a x b
a = 1 x 3
a = 3


5

What is 9a - 9a?

78% Answer Correctly
18a2
18
81a
0a

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.

9a - 9a = 0a