ASVAB Math Knowledge Practice Test 198047 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

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

70% Answer Correctly

parallel

equal length

equal angle

right angle
Solution

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

2

If the base of this triangle is 3 and the height is 8, what is the area?

58% Answer Correctly
78
97\(\frac{1}{2}\)
12
30
Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 8 = \( \frac{24}{2} \) = 12

3

The dimensions of this cylinder are height (h) = 4 and radius (r) = 6. What is the volume?

62% Answer Correctly
245π
150π
512π
144π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(62 x 4)
v = 144π

4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2
Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.

5

This diagram represents two parallel lines with a transversal. If w° = 28, what is the value of x°?

73% Answer Correctly
22
152
27
142
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 w° = 28, the value of x° is 152.