ASVAB Math Knowledge Practice Test 496790 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

If a = c = 5, b = d = 1, what is the area of this rectangle?

80% Answer Correctly
27
5
36
12

Solution

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

a = l x w
a = a x b
a = 5 x 1
a = 5


2

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

diameter

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

normalizing

factoring

deconstructing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

The dimensions of this trapezoid are a = 6, b = 4, c = 8, d = 2, and h = 4. What is the area?

51% Answer Correctly
20
35
12
18

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 + 2)(4)
a = ½(6)(4)
a = ½(24) = \( \frac{24}{2} \)
a = 12


5

The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the surface area?

48% Answer Correctly
112π
48π
28π
108π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 1)
sa = 2π(49) + 2π(7)
sa = (2 x 49)π + (2 x 7)π
sa = 98π + 14π
sa = 112π