ASVAB Math Knowledge Practice Test 759772 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 7, and h = 3. What is the area?

51% Answer Correctly
26
22
9
13\(\frac{1}{2}\)

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 + 7)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)


2

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 area is length x width

the lengths of all sides are equal


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).


3

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

70% Answer Correctly

right angle

parallel

equal angle

equal length


Solution

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


4

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

61% Answer Correctly

obtuse, acute

vertical, supplementary

supplementary, vertical

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) = 4, length (l) = 5, and width (w) = 2. What is the surface area?

51% Answer Correctly
104
76
350
62

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 5 x 2) + (2 x 2 x 4) + (2 x 5 x 4)
sa = (20) + (16) + (40)
sa = 76