ASVAB Math Knowledge Practice Test 28950 Results

Your Results Global Average
Questions 5 5
Correct 0 3.69
Score 0% 74%

Review

1

This diagram represents two parallel lines with a transversal. If y° = 159, what is the value of w°?

73% Answer Correctly
146
16
21
35
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° = 159, the value of w° is 21.

2

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

4

5

3
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

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, acute, obtuse

acute, obtuse, right

right, obtuse, acute

acute, right, obtuse
Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

4

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

equal angle

equal length

right angle
Solution

A trapezoid is a quadrilateral with one set of parallel sides.

5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width

all interior angles are right angles
Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).