ASVAB Math Knowledge Practice Test 827702 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

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

70% Answer Correctly
16π
49π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


2

If AD = 18 and BD = 11, AB = ?

76% Answer Correctly
7
2
18
13

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 18 - 11
AB = 7


3

The dimensions of this cube are height (h) = 1, length (l) = 9, and width (w) = 1. What is the surface area?

51% Answer Correctly
62
80
22
38

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 9 x 1) + (2 x 1 x 1) + (2 x 9 x 1)
sa = (18) + (2) + (18)
sa = 38


4

Solve for b:
b2 + 3b - 40 = 0

59% Answer Correctly
-2 or -5
5 or -8
8 or -8
8 or 2

Solution

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

b2 + 3b - 40 = 0
(b - 5)(b + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b + 8) must equal zero:

If (b - 5) = 0, b must equal 5
If (b + 8) = 0, b must equal -8

So the solution is that b = 5 or -8


5

If side x = 9cm, side y = 9cm, and side z = 15cm what is the perimeter of this triangle?

85% Answer Correctly
40cm
36cm
33cm
31cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 9cm + 9cm + 15cm = 33cm