QUESTION: 21

Nationwide, in one year there were about 21,500 residential fires associated with furniture. Of these, 11,350 were caused by smoking materials. About what percent of the residential fires were smoking related?

47%
49%
50%
51%
53%

Answer(s): E

Explanation:

Division is used to arrive at a decimal, which can then be rounded to the nearest hundredth and converted to a percentage: 11,350 divided by 21,500 = 0.5279.
0.5279 rounded to the nearest hundredth is 0.53, or 53%.

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QUESTION: 22

Jerry was 1/3 as young as his grandfather 15 years ago. If the sum of their ages is 110, how old is Jerry’s grandfather?

80
75
65
60
50

Answer(s): B

Explanation:

This uses two algebraic equations to solve for the age. Jerry (J) and his grandfather (G) have a sum of ages of 110 years. Therefore, J + G = 110. Jerry was one- third as young as his grandfather 15 years ago. Therefore, J 15 = 1/3 (G 15). Solve the first equation for J: J = 110-G. Now substitute this value of J into the second equation: 110 G 15 = 1/3 (G 15). Solve for G: 95 G = 1/3 G 5; 100 = 4/3 G; G = 75.

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QUESTION: 23

Solve for x in the following equation: 1/3 x + 3 = 8.

33
15
11
3
11/3

Answer(s): B

Explanation:

1/3 x + 3 = 8. In order to solve the equation, all numbers need to be on one side and all x values on the other. Therefore, 1/3 x = 5; x = 15.

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QUESTION: 24

Use the diagram below to answer the question.

What is the perimeter of the figure shown above?

17
20
30
40
60

Answer(s): C

Explanation:

In order to find the perimeter, the hypotenuse of the triangle must be found. This comes from recognizing that the triangle is a 5-12-13 triangle, or by using the
Pythagorean theorem. 5 + 12 + 13 = 30.

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