ASVAB Math Knowledge Practice Test 448945 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the volume?

63% Answer Correctly
72π
16π
405π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(62 x 2)
v = 72π


2

Which types of triangles will always have at least two sides of equal length?

55% Answer Correctly

equilateral and right

isosceles and right

equilateral and isosceles

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


3

Simplify (y - 6)(y + 5)

64% Answer Correctly
y2 + y - 30
y2 - 11y + 30
y2 - y - 30
y2 + 11y + 30

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 - 6)(y + 5)
(y x y) + (y x 5) + (-6 x y) + (-6 x 5)
y2 + 5y - 6y - 30
y2 - y - 30


4

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

78% Answer Correctly

a = π d

a = π d2

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.


5

The dimensions of this trapezoid are a = 6, b = 6, c = 9, d = 9, and h = 5. What is the area?

51% Answer Correctly
37\(\frac{1}{2}\)
20
30
28

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(6 + 9)(5)
a = ½(15)(5)
a = ½(75) = \( \frac{75}{2} \)
a = 37\(\frac{1}{2}\)