ASVAB Math Knowledge Practice Test 407949 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

circumference

chord

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

The dimensions of this trapezoid are a = 4, b = 6, c = 7, d = 7, and h = 2. What is the area?

51% Answer Correctly
13
8
6
12

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(6 + 7)(2)
a = ½(13)(2)
a = ½(26) = \( \frac{26}{2} \)
a = 13


3

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

normalizing

factoring

squaring

deconstructing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

What is the circumference of a circle with a radius of 1?

71% Answer Correctly
34π
28π

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 * 1)
c = 2π


5

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

58% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

area = ½bh

exterior angle = sum of two adjacent interior angles


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.