ASVAB Math Knowledge Practice Test 315205 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?

48% Answer Correctly
48π
14π
108π
270π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π


2

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π d2

a = π r2

a = π d

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

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

54% Answer Correctly

4π r2

2(π r2) + 2π rh

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.


4

Solve for y:
4y - 9 = -1 - 8y

59% Answer Correctly
-\(\frac{1}{3}\)
\(\frac{2}{3}\)
\(\frac{5}{8}\)
-1\(\frac{3}{5}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

4y - 9 = -1 - 8y
4y = -1 - 8y + 9
4y + 8y = -1 + 9
12y = 8
y = \( \frac{8}{12} \)
y = \(\frac{2}{3}\)


5

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

63% Answer Correctly

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

all interior angles are right angles


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).