ASVAB Math Knowledge Practice Test 290509 Results

Your Results Global Average
Questions 5 5
Correct 0 2.47
Score 0% 49%

Review

1

What is 4a4 - 2a4?

74% Answer Correctly
2
6
a48
2a4

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.

4a4 - 2a4 = 2a4


2

The dimensions of this cylinder are height (h) = 9 and radius (r) = 4. What is the surface area?

48% Answer Correctly
110π
10π
196π
104π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 9)
sa = 2π(16) + 2π(36)
sa = (2 x 16)π + (2 x 36)π
sa = 32π + 72π
sa = 104π


3

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

24% Answer Correctly

c = π d

c = π d2

c = π r

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.


4

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

50% Answer Correctly

the area of a parallelogram is base x height

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

a parallelogram is a quadrilateral

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).


5

The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 7. What is the surface area?

51% Answer Correctly
382
178
32
212

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 9 x 7) + (2 x 7 x 8) + (2 x 9 x 8)
sa = (126) + (112) + (144)
sa = 382