ASVAB Math Knowledge Practice Test 604644 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

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

24% Answer Correctly

c = π r

c = π d2

c = π r2

c = 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

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

you can multiply monomials that have different variables and different exponents

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

you can add 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.

3

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

51% 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.

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

lw x wh + lh

h2 x l2 x w2

2lw x 2wh + 2lh

h x l x w
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

Simplify (y - 1)(y - 2)

63% Answer Correctly
y2 + 3y + 2
y2 + y - 2
y2 - 3y + 2
y2 - y - 2
Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 1)(y - 2)
(y x y) + (y x -2) + (-1 x y) + (-1 x -2)
y2 - 2y - y + 2
y2 - 3y + 2