ASVAB Math Knowledge Practice Test 638534 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.95
Score	0%	59%

Review

The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope of this line?

46% Answer Correctly

	2\(\frac{1}{2}\)
	-2
	1
	-1

Solution

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, 1) and (2, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

If AD = 13 and BD = 5, AB = ?

76% Answer Correctly

	5
	14
	8
	10

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 = 13 - 5
AB = 8

If angle a = 66° and angle b = 57° what is the length of angle c?

71% Answer Correctly

	87°
	77°
	57°
	81°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 66° - 57° = 57°

The dimensions of this cube are height (h) = 1, length (l) = 5, and width (w) = 9. What is the surface area?

51% Answer Correctly

	34
	118
	228
	90

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 5 x 9) + (2 x 9 x 1) + (2 x 5 x 1)
sa = (90) + (18) + (10)
sa = 118

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

	a parallelogram is a quadrilateral
	the area of a parallelogram is base x height
	the perimeter of a parallelogram is the sum of the lengths of all sides
	opposite sides and adjacent angles are equal

Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).