ASVAB Math Knowledge Practice Test 938717 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

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

57% Answer Correctly

sum of interior angles = 180°

perimeter = sum of side lengths

area = ½bh

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


2

A right angle measures:

90% Answer Correctly

90°

45°

180°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

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

49% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

the perimeter of a parallelogram is the sum of the lengths of all sides

a parallelogram is a quadrilateral


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).


4

Solve for y:
-7y - 4 = \( \frac{y}{2} \)

46% Answer Correctly
-\(\frac{8}{15}\)
4
-\(\frac{10}{19}\)
\(\frac{15}{44}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-7y - 4 = \( \frac{y}{2} \)
2 x (-7y - 4) = y
(2 x -7y) + (2 x -4) = y
-14y - 8 = y
-14y - 8 - y = 0
-14y - y = 8
-15y = 8
y = \( \frac{8}{-15} \)
y = -\(\frac{8}{15}\)


5

The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 8. What is the volume?

82% Answer Correctly
32
105
45
504

Solution

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

v = h x l x w
v = 9 x 7 x 8
v = 504