ASVAB Math Knowledge Practice Test 933134 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Which of the following statements about a triangle is not true?

57% Answer Correctly

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles

area = ½bh

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


2

The dimensions of this cube are height (h) = 5, length (l) = 5, and width (w) = 6. What is the surface area?

51% Answer Correctly
170
118
58
348

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 5 x 6) + (2 x 6 x 5) + (2 x 5 x 5)
sa = (60) + (60) + (50)
sa = 170


3

If a = c = 6, b = d = 7, what is the area of this rectangle?

80% Answer Correctly
25
42
15
12

Solution

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

a = l x w
a = a x b
a = 6 x 7
a = 42


4

A coordinate grid is composed of which of the following?

89% Answer Correctly

origin

y-axis

all of these

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

Solve for x:
-7x + 8 < 9 + 3x

55% Answer Correctly
x < 1\(\frac{1}{7}\)
x < \(\frac{5}{7}\)
x < -\(\frac{6}{7}\)
x < -\(\frac{1}{10}\)

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.

-7x + 8 < 9 + 3x
-7x < 9 + 3x - 8
-7x - 3x < 9 - 8
-10x < 1
x < \( \frac{1}{-10} \)
x < -\(\frac{1}{10}\)