ASVAB Math Knowledge Practice Test 144966 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

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

48% Answer Correctly
196π
16π
84π
288π

Solution

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

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


2

If side x = 10cm, side y = 15cm, and side z = 11cm what is the perimeter of this triangle?

84% Answer Correctly
32cm
36cm
40cm
16cm

Solution

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

p = x + y + z
p = 10cm + 15cm + 11cm = 36cm


3

This diagram represents two parallel lines with a transversal. If y° = 162, what is the value of b°?

73% Answer Correctly
27
151
147
162

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 y° = 162, the value of b° is 162.


4

What is 7a5 - 2a5?

73% Answer Correctly
14a10
9a10
5a5
14a5

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.

7a5 - 2a5 = 5a5


5

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

expression

problem

formula

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.