ASVAB Math Knowledge Practice Test 980195 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

If a = 8, b = 9, c = 2, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly
14
18
17
27

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 9 + 2 + 8
p = 27


2

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

49% Answer Correctly

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


3

On this circle, line segment AB is the:

70% Answer Correctly

chord

radius

circumference

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).


4

A right angle measures:

90% Answer Correctly

360°

180°

90°

45°


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.


5

Solve for z:
z2 - 2z - 8 = 0

58% Answer Correctly
5 or 4
6 or -5
9 or -6
-2 or 4

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 - 2z - 8 = 0
(z + 2)(z - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z - 4) must equal zero:

If (z + 2) = 0, z must equal -2
If (z - 4) = 0, z must equal 4

So the solution is that z = -2 or 4