ASVAB Math Knowledge Practice Test 452117 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can add monomials that have the same variable and the same exponent

you can subtract monomials that have the same variable and the same exponent
Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

2

The dimensions of this cylinder are height (h) = 7 and radius (r) = 7. What is the volume?

62% Answer Correctly
180π
12π
18π
343π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 7)
v = 343π

3

The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 3. What is the surface area?

51% Answer Correctly
166
230
94
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 1 x 3) + (2 x 3 x 8) + (2 x 1 x 8)
sa = (6) + (48) + (16)
sa = 70

4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h x l x w

2lw x 2wh + 2lh

lw x wh + lh

h2 x l2 x w2
Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

5

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

5

3

4

2
Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.