ASVAB Math Knowledge Practice Test 508280 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

The dimensions of this cylinder are height (h) = 9 and radius (r) = 6. What is the surface area?

48% Answer Correctly
36π
306π
64π
180π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 9)
sa = 2π(36) + 2π(54)
sa = (2 x 36)π + (2 x 54)π
sa = 72π + 108π
sa = 180π


2

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the area is length x width

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

Solve for a:
9a + 7 = -4 - 6a

58% Answer Correctly
1
-\(\frac{4}{5}\)
-\(\frac{11}{15}\)
1\(\frac{2}{3}\)

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.

9a + 7 = -4 - 6a
9a = -4 - 6a - 7
9a + 6a = -4 - 7
15a = -11
a = \( \frac{-11}{15} \)
a = -\(\frac{11}{15}\)


4

A trapezoid is a quadrilateral with one set of __________ sides.

69% Answer Correctly

equal length

equal angle

right angle

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

What is 6a - 6a?

78% Answer Correctly
0a
0
12a2
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.

6a - 6a = 0a