ASVAB Math Knowledge Practice Test 178655 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


2

The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 9. What is the surface area?

51% Answer Correctly
100
270
6
42

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 9) + (2 x 9 x 9) + (2 x 3 x 9)
sa = (54) + (162) + (54)
sa = 270


3

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

π r2h

2(π r2) + 2π rh

4π r2

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

This diagram represents two parallel lines with a transversal. If z° = 13, what is the value of b°?

73% Answer Correctly
155
153
32
167

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 z° = 13, the value of b° is 167.


5

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

trisects

intersects

bisects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.