ASVAB Math Knowledge Practice Test 238845 Results

Your Results Global Average
Questions 5 5
Correct 0 2.98
Score 0% 60%

Review

1

The dimensions of this cylinder are height (h) = 4 and radius (r) = 6. What is the surface area?

48% Answer Correctly
132π
120π
20π
60π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 4)
sa = 2π(36) + 2π(24)
sa = (2 x 36)π + (2 x 24)π
sa = 72π + 48π
sa = 120π


2

Simplify (8a)(3ab) + (5a2)(5b).

65% Answer Correctly
49a2b
ab2
-a2b
-ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(3ab) + (5a2)(5b)
(8 x 3)(a x a x b) + (5 x 5)(a2 x b)
(24)(a1+1 x b) + (25)(a2b)
24a2b + 25a2b
49a2b


3

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

3

4

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

circumference

diameter

radius


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).


5

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

47% Answer Correctly

c2 + a2

a2 - c2

c - a

c2 - a2


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, \(c = \sqrt{a + b}\)