ASVAB Math Knowledge Practice Test 807302 Results

Your Results Global Average
Questions 5 5
Correct 0 2.46
Score 0% 49%

Review

1

If a = 3 and x = -2, what is the value of -6a(a - x)?

68% Answer Correctly
28
35
-90
-48

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 - x)
-6(3)(3 + 2)
-6(3)(5)
(-18)(5)
-90


2

The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the volume?

62% Answer Correctly
324π
175π
243π
54π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 7)
v = 175π


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).


4

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

24% Answer Correctly

c = π d

c = π r2

c = π r

c = π d2


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.


5

If angle a = 50° and angle b = 48° what is the length of angle d?

56% Answer Correctly
130°
123°
132°
157°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 50° - 48° = 82°

So, d° = 48° + 82° = 130°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 50° = 130°