ASVAB Math Knowledge Practice Test 981633 Results

Your Results Global Average
Questions 5 5
Correct 0 3.52
Score 0% 70%

Review

1

This diagram represents two parallel lines with a transversal. If b° = 141, what is the value of a°?

73% Answer Correctly
20
157
39
36
Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with b° = 141, the value of a° is 39.

2

The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the volume?

63% Answer Correctly
16π
4π
175π
81π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 7)
v = 175π

3

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

right angle

parallel

equal angle

equal length
Solution

A trapezoid is a quadrilateral with one set of parallel sides.

4

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

76% Answer Correctly

acute, obtuse, right

right, acute, obtuse

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°.

5

If c = 9 and z = -4, what is the value of -7c(c - z)?

69% Answer Correctly
-819
480
-70
24
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.)

-7c(c - z)
-7(9)(9 + 4)
-7(9)(13)
(-63)(13)
-819