ASVAB Math Knowledge Practice Test 133558 Results

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

Review

If AD = 30 and BD = 27, AB = ?

76% Answer Correctly

	3
	1
	10
	20

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 - 27
AB = 3

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 area is length x width
	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).

If the base of this triangle is 8 and the height is 9, what is the area?

58% Answer Correctly

	15
	36
	42
	40

Solution

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

a = ½bh
a = ½ x 8 x 9 = \( \frac{72}{2} \) = 36

The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 9. What is the surface area?

51% Answer Correctly

	98
	6
	202
	292

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 1 x 9) + (2 x 9 x 4) + (2 x 1 x 4)
sa = (18) + (72) + (8)
sa = 98

If a = -8 and y = -6, what is the value of -6a(a - y)?

69% Answer Correctly

	336
	6
	-98
	-96

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-6a(a - y)
-6(-8)(-8 + 6)
-6(-8)(-2)
(48)(-2)
-96