ASVAB Math Knowledge Practice Test 921033 Results

Your Results Global Average
Questions 5 5
Correct 0 2.66
Score 0% 53%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π r2

c = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the volume?

62% Answer Correctly
441π
448π
112π
108π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(82 x 7)
v = 448π


3

This diagram represents two parallel lines with a transversal. If a° = 12, what is the value of c°?

72% Answer Correctly
12
37
160
34

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with a° = 12, the value of c° is 12.


4

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

all interior angles are right angles

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).


5

The endpoints of this line segment are at (-2, -9) and (2, 1). What is the slope of this line?

46% Answer Correctly
3
-3
1
2\(\frac{1}{2}\)

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, -9) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-9.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)