ASVAB Math Knowledge Practice Test 162601 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

If angle a = 57° and angle b = 21° what is the length of angle c?

70% Answer Correctly
119°
102°
91°
124°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 57° - 21° = 102°


2

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, acute, obtuse

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

The dimensions of this cube are height (h) = 6, length (l) = 4, and width (w) = 5. What is the volume?

82% Answer Correctly
280
112
120
324

Solution

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

v = h x l x w
v = 6 x 4 x 5
v = 120


4

If a = c = 6, b = d = 1, and the blue angle = 65°, what is the area of this parallelogram?

65% Answer Correctly
48
6
9
14

Solution

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

a = l x w
a = a x b
a = 6 x 1
a = 6


5

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).