ASVAB Math Knowledge Practice Test 427363 Results

Your Results Global Average
Questions 5 5
Correct 0 3.64
Score 0% 73%

Review

1

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

24% Answer Correctly

c = π r2

c = π d

c = π d2

c = π r


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.


2

A right angle measures:

90% Answer Correctly

360°

45°

180°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

4

2

3

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

If a = 4, b = 6, c = 1, and d = 2, what is the perimeter of this quadrilateral?

88% Answer Correctly
13
15
25
16

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 6 + 1 + 2
p = 13


5

This diagram represents two parallel lines with a transversal. If w° = 36, what is the value of a°?

73% Answer Correctly
18
25
36
167

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° = 36, the value of a° is 36.