ASVAB Math Knowledge Practice Test 890466 Results

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

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

rhombus

triangle

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


2

Solve for a:
a + 3 = \( \frac{a}{6} \)

46% Answer Correctly
-\(\frac{8}{21}\)
-\(\frac{10}{41}\)
\(\frac{40}{71}\)
-3\(\frac{3}{5}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

a + 3 = \( \frac{a}{6} \)
6 x (a + 3) = a
(6 x a) + (6 x 3) = a
6a + 18 = a
6a + 18 - a = 0
6a - a = -18
5a = -18
a = \( \frac{-18}{5} \)
a = -3\(\frac{3}{5}\)


3

What is the circumference of a circle with a radius of 5?

71% Answer Correctly
10π
14π
30π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π


4

What is 2a5 - 6a5?

74% Answer Correctly
8
8a10
12a5
-4a5

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.

2a5 - 6a5 = -4a5


5

The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 2. What is the surface area?

51% Answer Correctly
172
64
142
70

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 2) + (2 x 2 x 8) + (2 x 7 x 8)
sa = (28) + (32) + (112)
sa = 172