ASVAB Math Knowledge Practice Test 120459 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

This diagram represents two parallel lines with a transversal. If z° = 24, what is the value of x°?

72% Answer Correctly
26
149
156
22
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° = 24, the value of x° is 156.

2

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

24% Answer Correctly

c = π d

c = π r

c = π d2

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.

3

The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 7. What is the volume?

82% Answer Correctly
320
729
63
243
Solution

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

v = h x l x w
v = 9 x 1 x 7
v = 63

4

What is the circumference of a circle with a radius of 7?

70% Answer Correctly
12π
2π
14π
13π
Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 7)
c = 14π

5

If side x = 14cm, side y = 11cm, and side z = 14cm what is the perimeter of this triangle?

84% Answer Correctly
22cm
30cm
31cm
39cm
Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 11cm + 14cm = 39cm