ASVAB Math Knowledge Practice Test 502930 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

The dimensions of this cylinder are height (h) = 3 and radius (r) = 5. What is the surface area?

48% Answer Correctly
36π
80π
88π
42π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 3)
sa = 2π(25) + 2π(15)
sa = (2 x 25)π + (2 x 15)π
sa = 50π + 30π
sa = 80π


2

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

63% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

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

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).


3

If side x = 12cm, side y = 12cm, and side z = 13cm what is the perimeter of this triangle?

84% Answer Correctly
42cm
22cm
45cm
37cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 12cm + 13cm = 37cm


4

The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 3. What is the surface area?

51% Answer Correctly
202
172
102
254

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 3) + (2 x 3 x 7) + (2 x 3 x 7)
sa = (18) + (42) + (42)
sa = 102


5

Find the value of c:
-2c + x = 5
6c - 5x = -3

42% Answer Correctly
-5\(\frac{1}{2}\)
2
3
-1\(\frac{10}{11}\)

Solution

You need to find the value of c so solve the first equation in terms of x:

-2c + x = 5
x = 5 + 2c

then substitute the result (5 - -2c) into the second equation:

6c - 5(5 + 2c) = -3
6c + (-5 x 5) + (-5 x 2c) = -3
6c - 25 - 10c = -3
6c - 10c = -3 + 25
-4c = 22
c = \( \frac{22}{-4} \)
c = -5\(\frac{1}{2}\)