ASVAB Math Knowledge Practice Test 968441 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

If the base of this triangle is 9 and the height is 6, what is the area?

58% Answer Correctly
27
60
65
20

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 9 x 6 = \( \frac{54}{2} \) = 27


2

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

the area is length x width

all interior angles are right angles

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).


3

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

4

3

2

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

The dimensions of this trapezoid are a = 4, b = 3, c = 5, d = 4, and h = 2. What is the area?

51% Answer Correctly
15
30
25
7

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 4)(2)
a = ½(7)(2)
a = ½(14) = \( \frac{14}{2} \)
a = 7


5

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

y-intercept

x-intercept

\({\Delta y \over \Delta x}\)

slope


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.