ASVAB Math Knowledge Practice Test 629551 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 y° = 155, what is the value of a°?

73% Answer Correctly
31
25
29
19
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 y° = 155, the value of a° is 25.

2

If BD = 20 and AD = 28, AB = ?

76% Answer Correctly
8
4
7
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 = 28 - 20
AB = 8

3

The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the volume?

63% Answer Correctly
63π
729π
7π
384π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(82 x 6)
v = 384π

4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

92% Answer Correctly

division

pairs

addition

exponents
Solution

When solving an equation with two variables, 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.)

5

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

bisects

midpoints

trisects

intersects
Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.