ASVAB Math Knowledge Practice Test 275506 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

If side x = 8cm, side y = 8cm, and side z = 6cm what is the perimeter of this triangle?

85% Answer Correctly
22cm
28cm
33cm
26cm

Solution

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

p = x + y + z
p = 8cm + 8cm + 6cm = 22cm


2

Which of the following is not true about both rectangles and squares?

64% Answer Correctly

the lengths of all sides are equal

the area is length x width

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

Solve for x:
-3x + 9 < \( \frac{x}{-8} \)

45% Answer Correctly
x < -\(\frac{6}{37}\)
x < 3\(\frac{3}{23}\)
x < -1\(\frac{1}{39}\)
x < -1\(\frac{1}{34}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-3x + 9 < \( \frac{x}{-8} \)
-8 x (-3x + 9) < x
(-8 x -3x) + (-8 x 9) < x
24x - 72 < x
24x - 72 - x < 0
24x - x < 72
23x < 72
x < \( \frac{72}{23} \)
x < 3\(\frac{3}{23}\)


4

What is the area of a circle with a diameter of 6?

70% Answer Correctly
25π
64π

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


5

On this circle, line segment CD is the:

46% Answer Correctly

chord

circumference

diameter

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).