ASVAB Math Knowledge Practice Test 715463 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

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

63% Answer Correctly

the area is length x width

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

the lengths of all sides are equal

all interior angles are right angles


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

The endpoints of this line segment are at (-2, 0) and (2, 8). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -x - 3
y = -2\(\frac{1}{2}\)x + 2
y = 2x + 4
y = -2x + 3

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. 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, 8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2

Plugging these values into the slope-intercept equation:

y = 2x + 4


3

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

4

2

3

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

If a = c = 2, b = d = 3, what is the area of this rectangle?

80% Answer Correctly
63
8
6
4

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 2 x 3
a = 6


5

The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 8. What is the surface area?

51% Answer Correctly
32
160
54
224

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 8) + (2 x 8 x 8) + (2 x 3 x 8)
sa = (48) + (128) + (48)
sa = 224