ASVAB Math Knowledge Practice Test 348397 Results

Your Results Global Average
Questions 5 5
Correct 0 2.77
Score 0% 55%

Review

1

If angle a = 44° and angle b = 62° what is the length of angle d?

56% Answer Correctly
131°
136°
141°
143°

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° - 44° - 62° = 74°

So, d° = 62° + 74° = 136°

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° - 44° = 136°


2

On this circle, line segment CD is the:

46% Answer Correctly

radius

diameter

circumference

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).


3

If side a = 2, side b = 7, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{53} \)
\( \sqrt{89} \)
\( \sqrt{40} \)
\( \sqrt{145} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 22 + 72
c2 = 4 + 49
c2 = 53
c = \( \sqrt{53} \)


4

Solve for c:
7c + 6 < \( \frac{c}{-5} \)

44% Answer Correctly
c < 9\(\frac{1}{7}\)
c < 1\(\frac{17}{23}\)
c < -\(\frac{5}{6}\)
c < -2\(\frac{5}{29}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

7c + 6 < \( \frac{c}{-5} \)
-5 x (7c + 6) < c
(-5 x 7c) + (-5 x 6) < c
-35c - 30 < c
-35c - 30 - c < 0
-35c - c < 30
-36c < 30
c < \( \frac{30}{-36} \)
c < -\(\frac{5}{6}\)


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.