ASVAB Math Knowledge Practice Test 370435 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

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

52% Answer Correctly

4π r2

π r2h

2(π r2) + 2π rh

π r2h2


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.


2

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the perimeter is the sum of the lengths of all four sides

the area is length x width

the lengths of all sides are equal

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

Simplify (3a)(9ab) + (7a2)(6b).

65% Answer Correctly
15a2b
156a2b
-15a2b
69a2b

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.

(3a)(9ab) + (7a2)(6b)
(3 x 9)(a x a x b) + (7 x 6)(a2 x b)
(27)(a1+1 x b) + (42)(a2b)
27a2b + 42a2b
69a2b


4

What is the area of a circle with a radius of 5?

69% Answer Correctly
64π
9π
6π
25π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


5

A right angle measures:

89% Answer Correctly

45°

180°

90°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.