ASVAB Math Knowledge Practice Test 771767 Results

Your Results Global Average
Questions 5 5
Correct 0 3.64
Score 0% 73%

Review

1

This diagram represents two parallel lines with a transversal. If d° = 166, what is the value of b°?

73% Answer Correctly
145
29
140
166

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 d° = 166, the value of b° is 166.


2

What is the circumference of a circle with a radius of 19?

71% Answer Correctly
38π
14π
20π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 19)
c = 38π


3

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

88% Answer Correctly

pairs

exponents

addition

division


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.)


4

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

quadrilateral

trapezoid

rhombus

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


5

If a = c = 5, b = d = 1, what is the area of this rectangle?

80% Answer Correctly
12
49
5
16

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 5 x 1
a = 5