Subtract 14.5 - 7.25.
- A. 7.15
- B. 7.25
- C. 7.15
- D. 7.5
Correct Answer: B
Rationale: The correct answer is B. When you subtract 7.25 from 14.5, you get 7.25. The difference between 14.5 and 7.25 is 7.25. Choices A, C, and D are incorrect. Choice A (7.15) is the result of incorrectly subtracting 14.5 - 7.25. Choice C repeats choice A, so it is also wrong. Choice D (7.5) is not the correct result of the subtraction provided in the question.
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Subtract 20.7 - 13.4.
- A. 7.1
- B. 7.5
- C. 7.3
- D. 7.6
Correct Answer: C
Rationale: The correct answer is 7.3. To subtract 13.4 from 20.7, you align the decimal points and subtract each place value: 0.7 - 0.4 = 0.3, and 2 - 1 = 1. Therefore, 20.7 - 13.4 = 7.3. Choices A, B, and D are incorrect because they do not provide the accurate result of this subtraction.
What is 80% of 55?
- A. 40
- B. 44
- C. 39
- D. 45
Correct Answer: B
Rationale: To find 80% of a number, you multiply the number by 0.8. Therefore, 80% of 55 is calculated as 0.8 55 = 44. Choice A (40), choice C (39), and choice D (45) are incorrect as they do not represent the correct calculation for 80% of 55.
Simplify the expression: -5 + (-8)
- A. -13
- B. 8
- C. 13
- D. -5
Correct Answer: A
Rationale: When adding two negative numbers, you add their absolute values and keep the negative sign. In this case, -5 + (-8) is equal to -13 because the absolute values of 5 and 8 add up to 13, and the negative sign is retained. Choice B (8) is incorrect because adding two negative numbers results in a negative sum. Choice C (13) is incorrect as it doesn't consider the negative signs of the numbers being added. Choice D (-5) is incorrect because it does not account for the addition of the two negative numbers.
How many grams are in 6 kilograms?
- A. 600 grams
- B. 6000 grams
- C. 600 grams
- D. 60,000 grams
Correct Answer: B
Rationale: 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, 6 kilograms would be equal to 6 1,000 = 6,000 grams. Choices A, C, and D are incorrect because they do not apply the correct conversion factor from kilograms to grams.
What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?
- A. 60 cu cm
- B. 120 cu cm
- C. 150 cu cm
- D. 180 cu cm
Correct Answer: C
Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.