ASVAB Math Knowledge Practice Test 668875 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

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

52% Answer Correctly

triangle

quadrilateral

rhombus

trapezoid
Solution

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

2

This diagram represents two parallel lines with a transversal. If y° = 141, what is the value of w°?

73% Answer Correctly
152
168
39
154
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° = 141, the value of w° is 39.

3

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

70% Answer Correctly

parallel

equal length

right angle

equal angle
Solution

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

4

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

54% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h2

π r2h
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.

5

The dimensions of this trapezoid are a = 6, b = 3, c = 9, d = 3, and h = 5. What is the area?

51% Answer Correctly
15
16\(\frac{1}{2}\)
13
16
Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 3)(5)
a = ½(6)(5)
a = ½(30) = \( \frac{30}{2} \)
a = 15