ASVAB Math Knowledge Practice Test 413459 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

If angle a = 21° and angle b = 64° what is the length of angle c?

71% Answer Correctly
95°
75°
123°
140°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 64° = 95°


2

What is 2a - 5a?

80% Answer Correctly
10a
7a2
-3a
-3a2

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.

2a - 5a = -3a


3

The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the surface area?

48% Answer Correctly
40π
24π
32π
216π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 6)
sa = 2π(4) + 2π(12)
sa = (2 x 4)π + (2 x 12)π
sa = 8π + 24π
sa = 32π


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

pairs

exponents

division

addition


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


5

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

24% Answer Correctly

c = π d

c = π r

c = π d2

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.