a man is reading he reads two chapters a day how long will it take if there are 6 pages per chapter and 798 pages total
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HESI A2

HESI A2 Math Practice Test 2024

1. A man is reading. He reads two chapters a day. How long will it take if there are 6 pages per chapter and 798 pages total?

Correct answer: A

Rationale: First, calculate how many pages the man reads per day. Since he reads two chapters a day and each chapter has 6 pages: 2 chapters/day × 6 pages/chapter = 12 pages/day Now, divide the total number of pages by the number of pages he reads per day: 798 pages ÷ 12 pages/day = 66 1/2 days Thus, it will take him 66 & 1/2 days to finish the book. Therefore, the correct answer is A. 66 & 1/2. Choices B, C, and D are incorrect as they do not correspond to the correct calculation based on the given information.

2. Two buildings in downtown Chicago stand across the river. The first building is 1,700 feet tall and casts a shadow of 525 feet. If the second building is 1,450 feet tall, how long will its shadow be?

Correct answer: C

Rationale: To find the shadow of the second building, we use the ratio of heights to shadows: 1,700/525 = 1,450/x. Solving for x gives x = (525 × 1,450)/1,700 = 448.5. Therefore, the shadow of the second building will be approximately 448.5 feet long. Choice A (478 feet) is incorrect because it is not the result of the correct calculation. Choice B (455 feet) is incorrect as it does not match the accurate answer obtained through the calculation. Choice D (450 feet) is incorrect as it does not reflect the correct length of the shadow of the second building.

3. How many grams are in 4 kilograms?

Correct answer: A

Rationale: The metric system is based on powers of 10. Since 1 kilogram equals 1000 grams, to convert 4 kilograms to grams, you multiply 4 by 1000. Therefore, 4 kilograms is equal to 4000 grams. Choice B (40) is incorrect because it represents grams in 4 decagrams, not kilograms. Choice C (500) is incorrect as it is the result of 4 hectograms, not kilograms. Choice D (0) is incorrect as it implies there are no grams in 4 kilograms, which is false.

4. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 3 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?

Correct answer: B

Rationale: 3 quarts is approximately 2.8 liters. To convert quarts to liters, multiply the number of quarts by 0.946353. Therefore, the correct answer is 2.8 liters. Choice A (3.0 liters) is incorrect as it does not accurately convert 3 quarts to liters. Choice C (2.5 liters) is incorrect as it is less than the correct conversion. Choice D (3.5 liters) is incorrect as it is more than the correct conversion.

5. If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?

Correct answer: A

Rationale: If 2 workers can complete building one play set in 18 hours, it means one worker would take 36 hours to complete the same task. When the number of workers is doubled to 4, the time is halved, so 4 workers would take 18 hours to build one play set. To build 3 play sets, the total time needed would be 3 times the time for one play set, which equals 54 hours. Therefore, 4 workers can build 3 play sets in 27 hours, making choice A the correct answer. Choices B, C, and D are incorrect because they do not account for the correct relationship between the number of workers and the time required to complete the task.

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