ASVAB Math Knowledge Practice Test 954498 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

If side x = 14cm, side y = 8cm, and side z = 7cm what is the perimeter of this triangle?

84% Answer Correctly
29cm
32cm
30cm
33cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 8cm + 7cm = 29cm


2

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

77% Answer Correctly

a = π d2

a = π r

a = π r2

a = 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.


3

On this circle, line segment CD is the:

46% Answer Correctly

chord

circumference

diameter

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

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

36% Answer Correctly

same-side interior angles are complementary and equal each other

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

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

all acute angles 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°).


5

Solve for a:
-3a - 7 = 9 + 6a

59% Answer Correctly
-1\(\frac{7}{9}\)
\(\frac{7}{9}\)
-\(\frac{1}{2}\)
-2

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.

-3a - 7 = 9 + 6a
-3a = 9 + 6a + 7
-3a - 6a = 9 + 7
-9a = 16
a = \( \frac{16}{-9} \)
a = -1\(\frac{7}{9}\)