ASVAB Math Knowledge Practice Test 48967 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

What is the circumference of a circle with a diameter of 8?

71% Answer Correctly
13π
19π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 8π


2

The dimensions of this trapezoid are a = 5, b = 8, c = 7, d = 8, and h = 4. What is the area?

51% Answer Correctly
32
22\(\frac{1}{2}\)
10\(\frac{1}{2}\)
15

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(8 + 8)(4)
a = ½(16)(4)
a = ½(64) = \( \frac{64}{2} \)
a = 32


3

Solve for y:
y2 - 9y + 14 = 0

59% Answer Correctly
2 or 7
-2 or -6
7 or 3
5 or 3

Solution

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

y2 - 9y + 14 = 0
(y - 2)(y - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 7) must equal zero:

If (y - 2) = 0, y must equal 2
If (y - 7) = 0, y must equal 7

So the solution is that y = 2 or 7


4

What is 4a8 - 2a8?

74% Answer Correctly
8a16
6a16
a816
2a8

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.

4a8 - 2a8 = 2a8


5

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.