ASVAB Math Knowledge Practice Test 312888 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

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

24% Answer Correctly

c = π d2

c = π d

c = π r2

c = 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

If angle a = 39° and angle b = 46° what is the length of angle c?

71% Answer Correctly
47°
95°
99°
54°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 46° = 95°


3

What is 8a - 7a?

80% Answer Correctly
56a2
1a
15
56a

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.

8a - 7a = 1a


4

What is the area of a circle with a diameter of 10?

70% Answer Correctly
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


5

Find the value of b:
7b + y = 3
-3b + 3y = -7

42% Answer Correctly
-1\(\frac{5}{18}\)
\(\frac{29}{44}\)
\(\frac{2}{3}\)
-\(\frac{4}{7}\)

Solution

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

7b + y = 3
y = 3 - 7b

then substitute the result (3 - 7b) into the second equation:

-3b + 3(3 - 7b) = -7
-3b + (3 x 3) + (3 x -7b) = -7
-3b + 9 - 21b = -7
-3b - 21b = -7 - 9
-24b = -16
b = \( \frac{-16}{-24} \)
b = \(\frac{2}{3}\)