ASVAB Math Knowledge Practice Test 3661 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

The dimensions of this trapezoid are a = 4, b = 2, c = 7, d = 2, and h = 2. What is the area?

51% Answer Correctly
4
16\(\frac{1}{2}\)
22
15

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(2 + 2)(2)
a = ½(4)(2)
a = ½(8) = \( \frac{8}{2} \)
a = 4


2

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

Odd

First

Inside

Last


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


3

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

54% Answer Correctly

π r2h

π r2h2

4π r2

2(π r2) + 2π rh


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

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


5

The dimensions of this cube are height (h) = 2, length (l) = 1, and width (w) = 7. What is the surface area?

51% Answer Correctly
314
26
126
46

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 1 x 7) + (2 x 7 x 2) + (2 x 1 x 2)
sa = (14) + (28) + (4)
sa = 46