ASVAB Math Knowledge Practice Test 873244 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

What is the area of a circle with a radius of 4?

70% Answer Correctly
16π
64π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π


2

The dimensions of this cylinder are height (h) = 6 and radius (r) = 5. What is the surface area?

48% Answer Correctly
110π
120π
16π
272π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 6)
sa = 2π(25) + 2π(30)
sa = (2 x 25)π + (2 x 30)π
sa = 50π + 60π
sa = 110π


3

What is 9a8 - 6a8?

74% Answer Correctly
3a8
54a8
3a16
15

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a8 - 6a8 = 3a8


4

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

36% Answer Correctly

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

all acute angles equal each other

same-side interior angles are complementary and equal each other

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


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

If side x = 7cm, side y = 13cm, and side z = 11cm what is the perimeter of this triangle?

85% Answer Correctly
36cm
32cm
30cm
31cm

Solution

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

p = x + y + z
p = 7cm + 13cm + 11cm = 31cm