HESI A2
HESI A2 Math 2024
1. A recent census of visitors to a popular beach showed that there was a ratio of 6:16 surfers to swimmers. Which of the following is a possible actual number of surfers and swimmers at the beach?
- A. 62:45
- B. 72:210
- C. 125:00
- D. 219:20
Correct answer: B
Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.
2. 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?
- A. 66 & 1/2
- B. 399
- C. 75 & 1/2
- D. 133
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.
3. What is the value of pi (π) to 2 decimal places?
- A. 3.12
- B. 3.14
- C. 3.16
- D. 3.18
Correct answer: B
Rationale: The value of pi (π) up to two decimal places is 3.14. Pi is a mathematical constant representing the ratio of a circle's circumference to its diameter and is commonly approximated as 3.14. Choices A, C, and D are incorrect as they do not match the standard approximation of pi up to two decimal places.
4. There are 225 pieces of candy in a large jar. Ben wants to give the 25 campers in his group an equal amount of candy. How many pieces of candy will each camper receive?
- A. 9 pieces
- B. 7 pieces
- C. 8 pieces
- D. 6 pieces
Correct answer: A
Rationale: To determine how many pieces of candy each camper will receive, divide the total number of pieces of candy (225) by the number of campers (25): 225 ÷ 25 = 9 pieces per camper. Therefore, each camper will receive 9 pieces of candy to ensure they all get an equal amount. Choice B, 7 pieces, is incorrect because the total number of candy pieces divided equally among 25 campers results in 9 pieces per camper, not 7. Choice C, 8 pieces, and choice D, 6 pieces, are also incorrect as they do not accurately reflect the division of 225 pieces of candy among 25 campers.
5. What is the result of the addition: 34 + 4 + 234?
- A. 70.2
- B. 230.72
- C. 234.74
- D. 272
Correct answer: D
Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.
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