ASVAB Math Knowledge Practice Test 905618 Results

Your Results Global Average
Questions 5 5
Correct 0 3.70
Score 0% 74%

Review

1

The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 3. What is the volume?

83% Answer Correctly
25
96
175
30

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 2 x 3
v = 30


2

The dimensions of this trapezoid are a = 6, b = 8, c = 8, d = 9, and h = 4. What is the area?

51% Answer Correctly
32
18
34
24

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(8 + 9)(4)
a = ½(17)(4)
a = ½(68) = \( \frac{68}{2} \)
a = 34


3

A quadrilateral is a shape with __________ sides.

91% 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.


4

This diagram represents two parallel lines with a transversal. If y° = 156, what is the value of d°?

73% Answer Correctly
163
15
156
143

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° = 156, the value of d° is 156.


5

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.