ASVAB Math Knowledge Practice Test 559516 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

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

68% Answer Correctly

2lw x 2wh + 2lh

lw x wh + lh

h x l x w

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.


2

Solve for b:
4b - 5 > 5 - 8b

55% Answer Correctly
b > \(\frac{1}{6}\)
b > 1
b > \(\frac{5}{6}\)
b > \(\frac{7}{8}\)

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.

4b - 5 > 5 - 8b
4b > 5 - 8b + 5
4b + 8b > 5 + 5
12b > 10
b > \( \frac{10}{12} \)
b > \(\frac{5}{6}\)


3

Which of the following is not true about both rectangles and squares?

64% Answer Correctly

the area is length x width

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


4

Simplify (8a)(8ab) - (6a2)(7b).

63% Answer Correctly
106ab2
208ab2
106a2b
22a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(8ab) - (6a2)(7b)
(8 x 8)(a x a x b) - (6 x 7)(a2 x b)
(64)(a1+1 x b) - (42)(a2b)
64a2b - 42a2b
22a2b


5

On this circle, line segment AB is the:

72% 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).