ASVAB Math Knowledge Practice Test 859005 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c - a

a2 - c2

c2 + a2

c2 - a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


2

The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 5. What is the volume?

83% Answer Correctly
56
18
320
360

Solution

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

v = h x l x w
v = 8 x 9 x 5
v = 360


3

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

46% Answer Correctly

circumference

radius

diameter

chord


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

If the base of this triangle is 7 and the height is 4, what is the area?

58% Answer Correctly
49\(\frac{1}{2}\)
30
14
90

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 4 = \( \frac{28}{2} \) = 14


5

What is 7a - 9a?

79% Answer Correctly
-2a
16
16a2
-2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a - 9a = -2a