ASVAB Math Knowledge Practice Test 121563 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 5. What is the volume?

83% Answer Correctly
42
80
200
6
Solution

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

v = h x l x w
v = 5 x 8 x 5
v = 200

2

Solve for a:
-4a + 5 > \( \frac{a}{-7} \)

44% Answer Correctly
a > -1
a > 1\(\frac{8}{27}\)
a > -1\(\frac{17}{28}\)
a > -1\(\frac{5}{7}\)
Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-4a + 5 > \( \frac{a}{-7} \)
-7 x (-4a + 5) > a
(-7 x -4a) + (-7 x 5) > a
28a - 35 > a
28a - 35 - a > 0
28a - a > 35
27a > 35
a > \( \frac{35}{27} \)
a > 1\(\frac{8}{27}\)

3

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

54% Answer Correctly

equilateral and right

isosceles and right

equilateral, isosceles and right

equilateral and isosceles
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

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

52% Answer Correctly

trapezoid

triangle

quadrilateral

rhombus
Solution

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

5

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

all interior angles are right angles

the lengths of all sides are equal

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).