ASVAB Math Knowledge Practice Test 766164 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c2 - a2

a2 - c2

c - a
Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)

2

The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 8. What is the volume?

83% Answer Correctly
105
324
360
448
Solution

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

v = h x l x w
v = 8 x 7 x 8
v = 448

3

If BD = 25 and AD = 30, AB = ?

76% Answer Correctly
14
16
5
3
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 30 - 25
AB = 5

4

The dimensions of this trapezoid are a = 4, b = 4, c = 6, d = 5, and h = 2. What is the area?

51% Answer Correctly
9
35
20
37\(\frac{1}{2}\)
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(4 + 5)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9

5

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 lengths of all sides are equal

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