ASVAB Math Knowledge Practice Test 257954 Results

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

Review

1

If side x = 14cm, side y = 14cm, and side z = 15cm what is the perimeter of this triangle?

85% Answer Correctly
37cm
43cm
33cm
30cm
Solution

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

p = x + y + z
p = 14cm + 14cm + 15cm = 43cm

2

If AD = 29 and BD = 20, AB = ?

76% Answer Correctly
12
9
5
14
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 29 - 20
AB = 9

3

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

76% Answer Correctly

right, obtuse, acute

right, acute, obtuse

acute, right, obtuse

acute, obtuse, right
Solution

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

4

Which types of triangles will always have at least two sides of equal length?

55% Answer Correctly

isosceles and right

equilateral and right

equilateral and isosceles

equilateral, isosceles and right
Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

5

This diagram represents two parallel lines with a transversal. If w° = 35, what is the value of b°?

73% Answer Correctly
145
25
146
20
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 w° = 35, the value of b° is 145.