ASVAB Math Knowledge Practice Test 375177 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

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

77% Answer Correctly

a = π d2

a = π r2

a = π d

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.


2

What is 9a - 5a?

79% Answer Correctly
45a
4a
14a2
a2

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.

9a - 5a = 4a


3

Find the value of a:
a + z = 9
9a - 4z = -4

42% Answer Correctly
4\(\frac{1}{3}\)
2\(\frac{10}{27}\)
\(\frac{22}{37}\)
2\(\frac{6}{13}\)

Solution

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

a + z = 9
z = 9 - a

then substitute the result (9 - 1a) into the second equation:

9a - 4(9 - a) = -4
9a + (-4 x 9) + (-4 x -a) = -4
9a - 36 + 4a = -4
9a + 4a = -4 + 36
13a = 32
a = \( \frac{32}{13} \)
a = 2\(\frac{6}{13}\)


4

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

2(π r2) + 2π rh

4π r2

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

On this circle, line segment AB is the:

70% Answer Correctly

radius

circumference

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).