ASVAB Math Knowledge Practice Test 104562 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

On this circle, line segment AB is the:

70% Answer Correctly

diameter

radius

chord

circumference


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 formula for the area of a circle is which of the following?

77% Answer Correctly

a = π r2

a = π d

a = π d2

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

The dimensions of this cube are height (h) = 5, length (l) = 7, and width (w) = 6. What is the surface area?

51% Answer Correctly
96
214
236
132

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 6) + (2 x 6 x 5) + (2 x 7 x 5)
sa = (84) + (60) + (70)
sa = 214


4

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

h x l x w

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2


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.


5

Solve for b:
7b - 5 > \( \frac{b}{3} \)

44% Answer Correctly
b > 1\(\frac{17}{31}\)
b > \(\frac{6}{11}\)
b > 1\(\frac{1}{48}\)
b > \(\frac{3}{4}\)

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.

7b - 5 > \( \frac{b}{3} \)
3 x (7b - 5) > b
(3 x 7b) + (3 x -5) > b
21b - 15 > b
21b - 15 - b > 0
21b - b > 15
20b > 15
b > \( \frac{15}{20} \)
b > \(\frac{3}{4}\)