ASVAB Math Knowledge Practice Test 791506 Results

Your Results Global Average
Questions 5 5
Correct 0 2.13
Score 0% 43%

Review

1

The dimensions of this cylinder are height (h) = 1 and radius (r) = 5. What is the surface area?

48% Answer Correctly
48π
88π
154π
60π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 1)
sa = 2π(25) + 2π(5)
sa = (2 x 25)π + (2 x 5)π
sa = 50π + 10π
sa = 60π


2

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

24% Answer Correctly

c = π d

c = π d2

c = π r

c = π r2


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(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

quadrilateral

rhombus

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


4

Which of the following statements about a triangle is not true?

57% Answer Correctly

perimeter = sum of side lengths

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

Solve a + 2a = 6a + 8x - 8 for a in terms of x.

34% Answer Correctly
-1\(\frac{1}{7}\)x + \(\frac{1}{7}\)
-1\(\frac{1}{5}\)x + 1\(\frac{3}{5}\)
-\(\frac{3}{13}\)x - \(\frac{9}{13}\)
-\(\frac{6}{11}\)x - \(\frac{5}{11}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

a + 2x = 6a + 8x - 8
a = 6a + 8x - 8 - 2x
a - 6a = 8x - 8 - 2x
-5a = 6x - 8
a = \( \frac{6x - 8}{-5} \)
a = \( \frac{6x}{-5} \) + \( \frac{-8}{-5} \)
a = -1\(\frac{1}{5}\)x + 1\(\frac{3}{5}\)