Nokea
How many grams are in 5 kilograms?
- A. 50,000 grams
- B. 500 grams
- C. 5,000 grams
- D. 50,000 grams
Correct Answer: C
Rationale: The correct answer is C: 5,000 grams. There are 1,000 grams in a kilogram. Therefore, to convert kilograms to grams, you need to multiply the number of kilograms by 1,000. In this case, 5 kilograms is equal to 5 1,000 = 5,000 grams. Choices A and D are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides instead of multiplies, leading to an incorrect conversion.
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What is the probability of getting a 1 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct Answer: A
Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.
The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?
- A. The length of Napoleon's forearm
- B. 2
- C. 10
- D. Atomic weight of helium
Correct Answer: C
Rationale: The metric system is based on powers of 10, making calculations and conversions easier because each unit increases or decreases by a factor of 10. This factor allows for a simple and consistent way to move between different units within the system. Choice A, 'The length of Napoleon's forearm' is incorrect as the metric system is not based on a physical attribute but on a standardized mathematical factor. Choice B, '2,' and Choice D, 'Atomic weight of helium,' are also incorrect as they do not align with the foundational principle of the metric system being based on powers of 10.
What is the result of dividing 4 7/8 by 1 1/6?
- A. 4 5/28
- B. 4 7/8
- C. 5 8/14
- D. 5 3/28
Correct Answer: A
Rationale: To divide mixed numbers, convert them to improper fractions and then multiply by the reciprocal of the divisor. Here, 4 7/8 = 39/8 and 1 1/6 = 7/6. Dividing 39/8 by 7/6 gives 39/8 · 7/6 = 39/8 * 6/7 = 234/56 = 4 5/28. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not represent the correct result of dividing 4 7/8 by 1 1/6.
A female ran a 24-mile course. Her first 6 miles took 1 hour, the second set of 6 miles took 1.2 hours, the third set of 6 miles took 1.5 hours, and the fourth set of 6 miles took 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 4.5 hours
- C. 6 hours
- D. 7 hours
Correct Answer: A
Rationale: To find the total time taken, add the time for each segment: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. The other choices are incorrect because they do not accurately reflect the cumulative time calculated based on the given information.
Change 0.004 to a ratio.
- A. 1:250
- B. 17:40
- C. 9:20
- D. 20:40
Correct Answer: A
Rationale: To convert 0.004 to a ratio, first express it as a fraction. 0.004 = 4/1000 = 1/250. Therefore, the ratio is 1:250. Choice A is the correct answer. Choices B, C, and D are incorrect ratios as they do not represent the equivalent fraction of 0.004.