ASVAB Math Knowledge Practice Test 297922 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

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

78% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


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 4a2 + 8a2?

75% Answer Correctly
-4a4
12a2
12
32a4

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.

4a2 + 8a2 = 12a2


3

The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?

48% Answer Correctly
40π
60π
110π
10π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π


4

Simplify 7a x 7b.

86% Answer Correctly
49ab
49\( \frac{b}{a} \)
49a2b2
49\( \frac{a}{b} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

7a x 7b = (7 x 7) (a x b) = 49ab


5

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).