ASVAB Math Knowledge Practice Test 359083 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

The dimensions of this cube are height (h) = 2, length (l) = 2, and width (w) = 1. What is the volume?

83% Answer Correctly
4
192
72
25

Solution

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

v = h x l x w
v = 2 x 2 x 1
v = 4


2

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

36% Answer Correctly

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

all acute angles equal each other

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior 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°).


3

If b = -8 and y = 3, what is the value of 6b(b - y)?

68% Answer Correctly
528
-144
504
-720

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

6b(b - y)
6(-8)(-8 - 3)
6(-8)(-11)
(-48)(-11)
528


4

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

75% Answer Correctly

acute, right, obtuse

right, acute, obtuse

acute, obtuse, right

right, obtuse, acute


Solution

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


5

The dimensions of this cylinder are height (h) = 5 and radius (r) = 9. What is the volume?

62% Answer Correctly
405π
216π
18π
567π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 5)
v = 405π