ASVAB Math Knowledge Practice Test 163702 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

The dimensions of this cylinder are height (h) = 6 and radius (r) = 4. What is the volume?

62% Answer Correctly
96π
320π
144π
200π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(42 x 6)
v = 96π


2

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r

c = π r2

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

87% Answer Correctly

exponents

division

addition

pairs


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


4

If a = c = 7, b = d = 4, and the blue angle = 58°, what is the area of this parallelogram?

65% Answer Correctly
63
28
10
12

Solution

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

a = l x w
a = a x b
a = 7 x 4
a = 28


5

Simplify (8a)(2ab) + (2a2)(6b).

65% Answer Correctly
80a2b
80ab2
28ab2
28a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(2ab) + (2a2)(6b)
(8 x 2)(a x a x b) + (2 x 6)(a2 x b)
(16)(a1+1 x b) + (12)(a2b)
16a2b + 12a2b
28a2b