ASVAB Math Knowledge Practice Test 508184 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

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

63% Answer Correctly

the area is length x width

all interior angles are right angles

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

the lengths of all sides are equal


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).


2

If a = 8, b = 6, c = 2, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
10
25
19
22

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 6 + 2 + 6
p = 22


3

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

vertical, supplementary

supplementary, vertical

obtuse, acute

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 7. What is the surface area?

51% Answer Correctly
58
122
258
38

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 7) + (2 x 7 x 4) + (2 x 3 x 4)
sa = (42) + (56) + (24)
sa = 122


5

Solve for c:
c2 + 6c + 8 = 0

58% Answer Correctly
-4 or -9
-4 or -7
-1 or -1
-2 or -4

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c2 + 6c + 8 = 0
(c + 2)(c + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c + 4) must equal zero:

If (c + 2) = 0, c must equal -2
If (c + 4) = 0, c must equal -4

So the solution is that c = -2 or -4