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A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
- A. 5.3
- B. 5.6
- C. 5.8
- D. 6
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
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If a die is rolled, what is the probability of getting a 5?
- A. 50%
- B. 20%
- C. 16.67%
- D. 83.33%
Correct Answer: C
Rationale: When rolling a fair six-sided die, there are a total of 6 possible outcomes (numbers 1 to 6). The probability of rolling a 5 is 1 out of 6, as there is only one 5 on the die. To calculate the probability, you divide the number of favorable outcomes by the total number of outcomes. Therefore, the probability of rolling a 5 is 1/6 which equals 0.1667 or 16.67%.
Karen went to the grocery store with $40. She bought a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $30.95
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of the items she purchased from the initial amount. The total cost of the items is $1.85 + $3.20 + $3.05 = $8.10. Subtracting $8.10 from $40, we find $40 - $8.10 = $31.90. Therefore, Karen has $31.90 remaining after buying the items.
What factor is used to convert pounds to kilograms?
- A. 0.22
- B. 2.2
- C. 22
- D. 220
Correct Answer: B
Rationale: To convert pounds to kilograms, the correct factor is 2.2. This conversion factor is used because 1 pound is approximately equal to 0.454 kilograms. Therefore, to convert from pounds to kilograms, you multiply the weight in pounds by 0.454 to get the weight in kilograms. In this case, the factor is the reciprocal of 0.454, which simplifies to approximately 2.2.
What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
Round to the nearest whole number: What is 18% of 600?
- A. 108
- B. 76
- C. 254
- D. 176
Correct Answer: A
Rationale: To find 18% of 600, you multiply 600 by 0.18, which equals 108. Since we need to round to the nearest whole number, 108 is the correct answer. When rounding, if the decimal portion is 0.5 or greater, you round up; in this case, since 0.18 is less than 0.5, the answer remains 108, the nearest whole number to the calculated value.