ASVAB Math Knowledge Practice Test 836635 Results

Your Results Global Average
Questions 5 5
Correct 0 2.66
Score 0% 53%

Review

1

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

63% Answer Correctly

all interior angles are right angles

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

the lengths of all sides are equal

the area is length x width


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).


2

Solve for c:
6c - 8 = -9 - c

58% Answer Correctly
-\(\frac{3}{8}\)
-\(\frac{1}{7}\)
4\(\frac{1}{2}\)
-\(\frac{2}{9}\)

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 equal sign and the answer on the other.

6c - 8 = -9 - c
6c = -9 - c + 8
6c + c = -9 + 8
7c = -1
c = \( \frac{-1}{7} \)
c = -\(\frac{1}{7}\)


3

If AD = 11 and BD = 1, AB = ?

75% Answer Correctly
10
7
2
1

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 11 - 1
AB = 10


4

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

chord

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).


5

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

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


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.