ASVAB Math Knowledge Practice Test 321342 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

What is the area of a circle with a diameter of 4?

70% Answer Correctly
49π

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π


2

The dimensions of this trapezoid are a = 5, b = 4, c = 7, d = 3, and h = 3. What is the area?

51% Answer Correctly
10\(\frac{1}{2}\)
24
13\(\frac{1}{2}\)
6

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 3)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)


3

The endpoints of this line segment are at (-2, 5) and (2, -1). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
1
2
-1\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 5) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)


4

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

π r2h

2(π r2) + 2π rh

π r2h2

4π r2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

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

78% Answer Correctly

a = π d2

a = π d

a = π r2

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.