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A bucket can hold 2500 mL. How many liters can the bucket hold?
- A. 0.25 L
- B. 25 L
- C. 2.5 L
- D. 250 L
Correct Answer: C
Rationale: To convert milliliters (mL) to liters (L), you divide by 1000 since 1000 mL is equivalent to 1 liter. Therefore, 2500 mL is equal to 2.5 liters (2500 mL · 1000 = 2.5 L). Choice A (0.25 L) is incorrect as it represents a conversion error by a factor of 10. Choice B (25 L) is incorrect as it incorrectly multiplies instead of dividing by 1000. Choice D (250 L) is incorrect as it overestimates the conversion by a factor of 100.
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How do you convert pounds to kg and kg to pounds?
- A. Multiply by 2.2 for pounds; divide by 2.2 for kg
- B. Multiply by 2 for pounds; divide by 2 for kg
- C. Multiply by 1.8 for pounds; divide by 1.8 for kg
- D. Multiply by 1.5 for pounds; divide by 1.5 for kg
Correct Answer: A
Rationale: To convert pounds to kg, you need to divide by 2.2, not multiply. Similarly, to convert kg to pounds, you should multiply by 2.2. Therefore, choice A is correct. Choices B, C, and D are incorrect because they provide incorrect conversion factors for pounds and kg, leading to inaccurate results.
What is a quotient?
- A. The result of dividing two numbers
- B. The result of multiplying two numbers
- C. The number left after subtraction
- D. The number remaining after a division
Correct Answer: A
Rationale: A quotient is the result of dividing one number by another. Choice A is correct because it accurately defines a quotient as the outcome of a division operation. Choice B is incorrect because it describes the result of multiplying two numbers, not dividing them. Choice C is incorrect because it refers to the remainder of a subtraction operation, not a division. Choice D is incorrect because it mentions the number remaining after a division, which is typically referred to as the remainder and not the quotient.
Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, what is the amount of yogurt in their dessert?
- A. 6 oz
- B. 5.5 oz
- C. 3 oz
- D. 3.5 oz
Correct Answer: A
Rationale: The ratio 4:3 implies that for every 4 oz of yogurt, there are 3 oz of toppings. To find the amount of yogurt when the friend has 4.5 oz of toppings, we use the proportion: (4/3) 4.5 = 6 oz. Therefore, the amount of yogurt in their dessert is 6 oz. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given ratio.
Which of the following is the correct simplification of the expression below? 12 · 3 4 - 1 + 23
- A. 6
- B. 21
- C. 38
- D. 23
Correct Answer: C
Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 · 3) 4 - 1 + 23 = 4 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.
In a class of 48 students, there are 22 boys and 26 girls. What is the ratio of girls to boys in the class?
- A. 26:11
- B. 13:11
- C. 13:22
- D. 11:13
Correct Answer: B
Rationale: To find the ratio of girls to boys, divide the number of girls by the number of boys: 26/22 = 13/11. Therefore, the correct ratio is 13:11. Choice A is incorrect as it includes an extra '00'. Choice C is incorrect as it reverses the order of girls to boys. Choice D is incorrect as it reverses the order and provides the ratio of boys to girls.