ASVAB Math Knowledge Practice Test 100065 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

If a = c = 5, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
36
30
48
16

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 5 x 6
a = 30


2

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

c2 + a2

c - a

a2 - c2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


3

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

78% Answer Correctly

a = π r2

a = π d

a = π d2

a = π r


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

If the base of this triangle is 3 and the height is 2, what is the area?

59% Answer Correctly
3
27\(\frac{1}{2}\)
98
25

Solution

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

a = ½bh
a = ½ x 3 x 2 = \( \frac{6}{2} \) = 3


5

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

x-intercept

\({\Delta y \over \Delta x}\)

y-intercept

slope


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.