ASVAB Math Knowledge Practice Test 549785 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

The dimensions of this cylinder are height (h) = 8 and radius (r) = 2. What is the surface area?

48% Answer Correctly
272π
120π
40π
64π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 8)
sa = 2π(4) + 2π(16)
sa = (2 x 4)π + (2 x 16)π
sa = 8π + 32π
sa = 40π


2

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

5

4

3

2


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


3

Solve for a:
-6a - 2 = \( \frac{a}{6} \)

46% Answer Correctly
-\(\frac{4}{33}\)
1
-\(\frac{12}{37}\)
\(\frac{81}{82}\)

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.

-6a - 2 = \( \frac{a}{6} \)
6 x (-6a - 2) = a
(6 x -6a) + (6 x -2) = a
-36a - 12 = a
-36a - 12 - a = 0
-36a - a = 12
-37a = 12
a = \( \frac{12}{-37} \)
a = -\(\frac{12}{37}\)


4

This diagram represents two parallel lines with a transversal. If c° = 15, what is the value of a°?

73% Answer Correctly
152
19
166
15

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 c° = 15, the value of a° is 15.


5

What is the area of a circle with a diameter of 6?

69% Answer Correctly
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π