ASVAB Math Knowledge Practice Test 838836 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

The dimensions of this cube are height (h) = 3, length (l) = 7, and width (w) = 1. What is the surface area?

51% Answer Correctly
246
70
62
188

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 7 x 1) + (2 x 1 x 3) + (2 x 7 x 3)
sa = (14) + (6) + (42)
sa = 62


2

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

57% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

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.


3

If side a = 6, side b = 3, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{82} \)
\( \sqrt{106} \)
5
\( \sqrt{45} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 62 + 32
c2 = 36 + 9
c2 = 45
c = \( \sqrt{45} \)


4

Find the value of c:
-5c + x = 4
-7c - 2x = -1

41% Answer Correctly
1\(\frac{9}{23}\)
-\(\frac{1}{13}\)
-\(\frac{7}{17}\)

Solution

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

-5c + x = 4
x = 4 + 5c

then substitute the result (4 - -5c) into the second equation:

-7c - 2(4 + 5c) = -1
-7c + (-2 x 4) + (-2 x 5c) = -1
-7c - 8 - 10c = -1
-7c - 10c = -1 + 8
-17c = 7
c = \( \frac{7}{-17} \)
c = -\(\frac{7}{17}\)


5

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

76% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


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.