ASVAB Math Knowledge Practice Test 61235 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

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

54% Answer Correctly

equilateral and right

isosceles and right

equilateral, isosceles and right

equilateral and isosceles


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.


2

If a = 1, b = 3, c = 1, and d = 2, what is the perimeter of this quadrilateral?

88% Answer Correctly
19
29
18
7

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 3 + 1 + 2
p = 7


3

This diagram represents two parallel lines with a transversal. If w° = 18, what is the value of b°?

73% Answer Correctly
24
162
167
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 w° = 18, the value of b° is 162.


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

supplementary, vertical

obtuse, acute

vertical, supplementary

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

The dimensions of this cube are height (h) = 1, length (l) = 2, and width (w) = 2. What is the surface area?

51% Answer Correctly
100
56
110
16

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 2 x 2) + (2 x 2 x 1) + (2 x 2 x 1)
sa = (8) + (4) + (4)
sa = 16