ASVAB Math Knowledge Practice Test 991510 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

Review

1

If AD = 16 and BD = 10, AB = ?

76% Answer Correctly
7
6
2
17

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 = 16 - 10
AB = 6


2

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

58% Answer Correctly

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

area = ½bh

perimeter = sum of side lengths


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.


3

What is 3a3 - 2a3?

74% Answer Correctly
1a3
1
a36
5

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.

3a3 - 2a3 = 1a3


4

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

63% Answer Correctly

the area is length x width

all interior angles are right angles

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

the lengths of all sides are equal


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).


5

The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 4. What is the volume?

83% Answer Correctly
180
126
140
40

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 2 x 4
v = 40