ASVAB Math Knowledge Practice Test 963020 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?

48% Answer Correctly
270π
48π
66π
132π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π


2

Simplify (y + 7)(y - 8)

64% Answer Correctly
y2 + 15y + 56
y2 + y - 56
y2 - y - 56
y2 - 15y + 56

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 + 7)(y - 8)
(y x y) + (y x -8) + (7 x y) + (7 x -8)
y2 - 8y + 7y - 56
y2 - y - 56


3

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

54% Answer Correctly

equilateral and right

equilateral, isosceles and right

equilateral and isosceles

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.


4

The dimensions of this cube are height (h) = 7, length (l) = 2, and width (w) = 4. What is the volume?

83% Answer Correctly
72
98
20
56

Solution

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

v = h x l x w
v = 7 x 2 x 4
v = 56


5

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding angles

all acute angles equal each other

all of the angles formed by a transversal are called interior angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).