ASVAB Math Knowledge Practice Test 228760 Results

Your Results Global Average
Questions 5 5
Correct 0 3.80
Score 0% 76%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

exponents

division

pairs

addition


Solution

When solving an equation with two variables, 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.)


2

The dimensions of this cube are height (h) = 1, length (l) = 3, and width (w) = 3. What is the surface area?

51% Answer Correctly
92
46
30
40

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 3) + (2 x 3 x 1) + (2 x 3 x 1)
sa = (18) + (6) + (6)
sa = 30


3

If side x = 13cm, side y = 14cm, and side z = 8cm what is the perimeter of this triangle?

84% Answer Correctly
28cm
35cm
30cm
23cm

Solution

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

p = x + y + z
p = 13cm + 14cm + 8cm = 35cm


4

What is 7a + 3a?

81% Answer Correctly
10a
21a2
10a2
a2

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.

7a + 3a = 10a


5

This diagram represents two parallel lines with a transversal. If y° = 167, what is the value of x°?

73% Answer Correctly
167
150
169
14

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° = 167, the value of x° is 167.