ASVAB Math Knowledge Practice Test 956023 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

What is the circumference of a circle with a radius of 16?

70% Answer Correctly
3π
8π
32π
30π

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 * 16)
c = 32π


2

Which of the following statements about a triangle is not true?

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

area = ½bh

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

If angle a = 50° and angle b = 33° what is the length of angle d?

56% Answer Correctly
146°
129°
123°
130°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 50° - 33° = 97°

So, d° = 33° + 97° = 130°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 50° = 130°


4

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

5

2

3

4


Solution

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


5

The dimensions of this cylinder are height (h) = 4 and radius (r) = 9. What is the surface area?

48% Answer Correctly
12π
20π
234π
48π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 4)
sa = 2π(81) + 2π(36)
sa = (2 x 81)π + (2 x 36)π
sa = 162π + 72π
sa = 234π