an ancient egyptian pyramid has a square base with side lengths of 20 meters and a remaining height after erosion of 10 meters its original height was
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HESI A2

HESI A2 Math Portion

1. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?

Correct answer: A

Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.

2. How many grams are in 7 kilograms?

Correct answer: A

Rationale: To convert kilograms to grams, you need to multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 7 kilograms is equal to 7 x 1,000 = 7,000 grams. The correct answer is 7000 grams. Choice B (70 grams) is incorrect as it represents the conversion of 7 kilograms to grams without considering the correct multiplier. Choice C (700 grams) is incorrect as it is a tenth of the correct conversion. Choice D (70,000 grams) is incorrect as it is ten times the correct conversion.

3. Convert the following decimal to a percent: 0.0068

Correct answer: A

Rationale: To convert a decimal to a percent, move the decimal point two places to the right. Therefore, 0.0068 as a percentage is 0.68%. Choice A is correct because it represents the correct conversion. Choice B is incorrect as it would be the decimal 6.8 represented as a percentage. Choice C is incorrect as it would be the decimal 0.068 represented as a percentage. Choice D is incorrect as it is the original decimal value.

4. Donald earns 8% of the selling price of each house he sells. If he sells a house for $152,000, how much does he earn?

Correct answer: B

Rationale: To calculate how much Donald earns from selling a house for $152,000 at an 8% commission rate, we multiply the selling price by the commission rate: $152,000 x 0.08 = $12,160. Therefore, he earns $12,160. Choice A, $12,160, is the correct answer as calculated. Choices C and D are incorrect amounts as they do not result from the given information. Choice C, $19,000, is significantly higher than the correct calculation, and choice D, $21,600, is the result of incorrectly adding the commission to the selling price instead of calculating the commission earned.

5. A man is reading a book with 798 pages. If he reads 2 chapters a day and each chapter has 6 pages, how many days will it take him to finish the book?

Correct answer: C

Rationale: To find the total number of chapters, divide the total number of pages by the number of pages per chapter: 798 ÷ 6 = 133 chapters. Reading 2 chapters per day means it will take 133 ÷ 2 = 66.5 days. Choice A, 133 days, is incorrect because it miscalculates the days needed to finish the book. Choice B, 399 days, is incorrect as it doesn't consider the number of chapters read per day. Choice D, 75 days, is incorrect as it doesn't account for the total number of chapters in the book.

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