ASVAB Math Knowledge Practice Test 403744 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

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

54% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

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

Simplify (y + 5)(y + 5)

64% Answer Correctly
y2 - 25
y2 - 10y + 25
28
y2 + 10y + 25

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 5)(y + 5)
(y x y) + (y x 5) + (5 x y) + (5 x 5)
y2 + 5y + 5y + 25
y2 + 10y + 25


3

The dimensions of this cylinder are height (h) = 7 and radius (r) = 4. What is the surface area?

48% Answer Correctly
108π
88π
104π
210π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 7)
sa = 2π(16) + 2π(28)
sa = (2 x 16)π + (2 x 28)π
sa = 32π + 56π
sa = 88π


4

The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 2. What is the volume?

83% Answer Correctly
126
18
8
96

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 1 x 2
v = 18


5

Which of the following expressions contains exactly two terms?

83% Answer Correctly

binomial

quadratic

polynomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.