ASVAB Math Knowledge Practice Test 979540 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

The dimensions of this cylinder are height (h) = 6 and radius (r) = 7. What is the volume?

63% Answer Correctly
32π
294π
147π
324π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 6)
v = 294π

2

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

71% Answer Correctly

right angle

parallel

equal length

equal angle
Solution

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

3

This diagram represents two parallel lines with a transversal. If z° = 11, what is the value of b°?

73% Answer Correctly
21
145
150
169
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 z° = 11, the value of b° is 169.

4

The dimensions of this trapezoid are a = 4, b = 4, c = 6, d = 9, and h = 2. What is the area?

51% Answer Correctly
8
28
13
22
Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 9)(2)
a = ½(13)(2)
a = ½(26) = \( \frac{26}{2} \)
a = 13

5

Which types of triangles will always have at least two sides of equal length?

55% Answer Correctly

equilateral and isosceles

isosceles and right

equilateral and right

equilateral, isosceles and right
Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.