HESI A2
HESI A2 Math Practice Test 2023
1. The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?
- A. The length of Napoleon's forearm
- B. 2
- C. 10
- D. Atomic weight of helium
Correct answer: C
Rationale: The metric system is based on powers of 10, making calculations and conversions easier because each unit increases or decreases by a factor of 10. This factor allows for a simple and consistent way to move between different units within the system. Choice A, 'The length of Napoleon's forearm' is incorrect as the metric system is not based on a physical attribute but on a standardized mathematical factor. Choice B, '2,' and Choice D, 'Atomic weight of helium,' are also incorrect as they do not align with the foundational principle of the metric system being based on powers of 10.
2. If Andy runs five times as long as Jake, and Jake runs 24.5 miles each week, how many miles does Andy run in a day?
- A. 17.5
- B. 17.7
- C. 16.5
- D. 18.2
Correct answer: A
Rationale: To find how many miles Andy runs in a day, we need to calculate the distance Andy runs in a week. Since Andy runs five times as long as Jake, Andy runs 5 * 24.5 = 122.5 miles per week. To convert this to miles per day, we divide by 7 (days in a week): 122.5 / 7 = 17.5 miles per day. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not accurately reflect the calculation based on the given ratio.
3. Solve for x: x/5 = 3/10.
- A. x = 0.6
- B. x = 0.6
- C. x = 0.9
- D. x = 1.5
Correct answer: D
Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 × 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.
4. 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.
5. A team from the highway department can replace 14 streetlights in 7 hours of work. If they work a 30-hour week at this job, in how many weeks will they replace all 120 downtown streetlights?
- A. 1½ weeks
- B. 2 weeks
- C. 2½ weeks
- D. 3 weeks
Correct answer: B
Rationale: If the team can replace 14 streetlights in 7 hours, it means they replace 2 streetlights per hour. In a 30-hour week, they can therefore replace 2 x 30 = 60 streetlights. To replace all 120 downtown streetlights, they will need 120 / 2 = 60 hours, which is equivalent to 60 / 30 = 2 weeks. Therefore, the correct answer is 2 weeks. Choice A, 1½ weeks, is incorrect because it doesn't consider the total number of streetlights that need to be replaced. Choice C, 2½ weeks, is incorrect as it overestimates the time needed. Choice D, 3 weeks, is incorrect as it underestimates the efficiency of the team in replacing streetlights.
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