ASVAB Math Knowledge Practice Test 696806 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

The dimensions of this cylinder are height (h) = 8 and radius (r) = 7. What is the volume?

62% Answer Correctly
576π
392π
180π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 8)
v = 392π


2

What is 7a8 - 7a8?

73% Answer Correctly
0
49a16
16
0a8

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.

7a8 - 7a8 = 0a8


3

On this circle, line segment CD is the:

46% Answer Correctly

chord

diameter

radius

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).


4

Find the value of a:
2a + y = 3
3a - 2y = 3

42% Answer Correctly
-2\(\frac{1}{5}\)
-\(\frac{5}{54}\)
\(\frac{2}{19}\)
1\(\frac{2}{7}\)

Solution

You need to find the value of a so solve the first equation in terms of y:

2a + y = 3
y = 3 - 2a

then substitute the result (3 - 2a) into the second equation:

3a - 2(3 - 2a) = 3
3a + (-2 x 3) + (-2 x -2a) = 3
3a - 6 + 4a = 3
3a + 4a = 3 + 6
7a = 9
a = \( \frac{9}{7} \)
a = 1\(\frac{2}{7}\)


5

If angle a = 29° and angle b = 68° what is the length of angle c?

71% Answer Correctly
101°
83°
94°
91°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 29° - 68° = 83°