ASVAB Math Knowledge Practice Test 956626 Results

Your Results Global Average
Questions 5 5
Correct 0 2.52
Score 0% 50%

Review

1

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

24% Answer Correctly

c = π r2

c = π r

c = π d

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.


2

The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 3. What is the surface area?

51% Answer Correctly
76
294
70
28

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 8 x 3) + (2 x 3 x 1) + (2 x 8 x 1)
sa = (48) + (6) + (16)
sa = 70


3

If a = -3 and x = -3, what is the value of 6a(a - x)?

68% Answer Correctly
0
-240
-72
12

Solution

To solve this equation, 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.)

6a(a - x)
6(-3)(-3 + 3)
6(-3)(0)
(-18)(0)
0


4

A cylinder with a radius (r) and a height (h) has a surface area of:

52% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

Solve for b:
b2 - 8b - 9 = 0

57% Answer Correctly
-1 or 9
2 or -9
-1 or -4
4 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b2 - 8b - 9 = 0
(b + 1)(b - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 9) must equal zero:

If (b + 1) = 0, b must equal -1
If (b - 9) = 0, b must equal 9

So the solution is that b = -1 or 9