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Convert the fraction to the simplest possible ratio: 4/6
- A. 2:3
- B. 4:7
- C. 4:6
- D. 3:5
Correct Answer: A
Rationale: To simplify the fraction 4/6, you can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 4 by 2 gives 2, and dividing 6 by 2 gives 3. Therefore, the simplest ratio of 4/6 is 2:3. Choice B (4:7) is incorrect because it does not result from simplifying the fraction. Choice C (4:6) is incorrect as it represents the original fraction, not the simplest form. Choice D (3:5) is incorrect as it does not match the simplified ratio of 4/6.
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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.
Convert the decimal to a percent: 0.64
- A. 0.64%
- B. 6.4%
- C. 64%
- D. 0.064%
Correct Answer: C
Rationale: To convert a decimal to a percent, you multiply by 100 or move the decimal point two places to the right. In this case, 0.64 becomes 64%. Therefore, the correct answer is 64%. Choice A, 0.64%, is incorrect because it does not convert the decimal to a percent. Choice B, 6.4%, is incorrect as it mistakenly moves the decimal point only one place. Choice D, 0.064%, is incorrect as it moves the decimal point three places instead of two.
Convert the percentage to a decimal: 38%
- A. 3.8
- B. 0.38
- C. 0.038
- D. 38.0
Correct Answer: B
Rationale: To convert a percentage to a decimal, you divide the percentage by 100. Therefore, 38% as a decimal is 0.38 (38 · 100 = 0.38). Choice A, 3.8, is incorrect as it is equivalent to 380%. Choice C, 0.038, is incorrect as it represents 3.8%. Choice D, 38.0, is incorrect as it is still in percentage form.
Round to the nearest whole number. Change the fraction to a percent: 17/80 =
- A. 20%
- B. 21%
- C. 22%
- D. 23%
Correct Answer: B
Rationale: To convert 17/80 to a percent, we divide 17 by 80 to get 0.2125. Multiplying by 100, we get 21.25%. Rounding to the nearest whole number, 21.25% becomes 21%. Choice A (20%) is incorrect because rounding 21.25% down to the nearest whole number gives 21%. Choice C (22%) is incorrect as it is the next whole number after 21. Choice D (23%) is incorrect as it is more than 21.25% and thus rounds up to 22%.
How many ounces are in 2 quarts?
- A. 8 ounces
- B. 16 ounces
- C. 32 ounces
- D. 64 ounces
Correct Answer: D
Rationale: To convert quarts to ounces, you need to multiply by 32 (1 quart = 32 ounces). Therefore, 2 quarts x 32 ounces/quart = 64 ounces. Hence, there are 64 ounces in 2 quarts. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor from quarts to ounces.