a plan for a shed is drawn on a 110 scale if the roof of the real shed measures 4 feet by 5 feet what were the measurements on the plan
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HESI A2

HESI A2 Math Portion

1. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?

Correct answer: B

Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.

2. How many grams are in 10 kilograms?

Correct answer: A

Rationale: The correct answer is A: 10,000 grams. There are 1,000 grams in a kilogram. Therefore, to find the number of grams in 10 kilograms, you multiply 10 (kilograms) by 1,000 (grams/kilogram) to get 10,000 grams. Choice B (100 grams) is incorrect as it represents the conversion for 1 kilogram, not 10 kilograms. Choice C (1000 grams) is incorrect as it is equal to 1 kilogram, not 10 kilograms. Choice D (100,000 grams) is incorrect as it represents the conversion for 100 kilograms, not 10 kilograms.

3. How many grams are in 5 kilograms?

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.

4. In a bowling team consisting of 34 members, with 18 being male, if 4 females leave the team, what percent of the remaining members are male?

Correct answer: B

Rationale: After 4 females leave the team, there are 30 members remaining. Out of these, 18 are male. To find the percentage of male members, divide the number of male members (18) by the total number of remaining members (30) and multiply by 100. Percentage of male members = (18/30) * 100 = 60%. Therefore, 60% of the remaining members are male. Choices A, C, and D are incorrect as they do not reflect the accurate calculation based on the information provided in the question.

5. A female ran a 24-mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?

Correct answer: B

Rationale: To find the total time, add the times for each set of 6 miles: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to complete the 24-mile course. Choice A, 5 hours, is incorrect because the total time is slightly more than that. Choice C, 4 hours, is incorrect as it doesn't account for the total time taken. Choice D, 6 hours, is incorrect as it's an overestimation of the actual time taken.

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