ASVAB Math Knowledge Practice Test 920154 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

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

77% Answer Correctly

a = π d2

a = π d

a = π r

a = 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.

2

Simplify (y - 6)(y - 1)

63% Answer Correctly
y2 - 5y - 6
y2 + 7y + 6
y2 - 7y + 6
y2 + 5y - 6
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 - 6)(y - 1)
(y x y) + (y x -1) + (-6 x y) + (-6 x -1)
y2 - y - 6y + 6
y2 - 7y + 6

3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

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

all of these statements are correct

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.

4

If the base of this triangle is 1 and the height is 2, what is the area?

58% Answer Correctly
54
58\(\frac{1}{2}\)
33
1
Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 1 x 2 = \( \frac{2}{2} \) = 1

5

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

63% Answer Correctly

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

all interior angles are right angles

the area is length x width

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).