ASVAB Math Knowledge Practice Test 580444 Results

Your Results Global Average
Questions 5 5
Correct 0 2.64
Score 0% 53%

Review

1

What is the area of a circle with a diameter of 6?

69% Answer Correctly
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


2

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

24% Answer Correctly

c = π d2

c = π d

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.


3

Simplify (y - 1)(y + 1)

63% Answer Correctly
y2 - 2y + 1
y2 + 2y + 1
68
y2 - 1

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


4

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

57% Answer Correctly

sum of interior angles = 180°

perimeter = sum of side lengths

area = ½bh

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

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

51% Answer Correctly

triangle

trapezoid

rhombus

quadrilateral


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.