ASVAB Math Knowledge Practice Test 72506 Results

Your Results Global Average
Questions 5 5
Correct 0 2.64
Score 0% 53%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

rhombus

trapezoid

triangle

quadrilateral
Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

2

The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope of this line?

46% Answer Correctly
-2
3
-1\(\frac{1}{2}\)
-2\(\frac{1}{2}\)
Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)

3

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

48% Answer Correctly
234π
108π
324π
64π
Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 9)
sa = 2π(81) + 2π(81)
sa = (2 x 81)π + (2 x 81)π
sa = 162π + 162π
sa = 324π

4

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

63% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

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

the area is length x width
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).

5

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

55% Answer Correctly

equilateral, isosceles and right

equilateral 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.