HESI A2
HESI A2 Math
1. If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?
- A. 27 hours
- B. 36 hours
- C. 24 hours
- D. 54 hours
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.
2. Write the date 2007 in Roman numerals.
- A. MMVII
- B. MDVII
- C. MMDII
- D. MMXD
Correct answer: A
Rationale: In Roman numerals, the date 2007 is correctly represented as MMVII. The Roman numeral M stands for 1000, and when repeated twice (MM), it represents 2000. The Roman numeral V represents 5, and when followed by II (two ones), it correctly represents 2007. Choice B (MDVII) is incorrect because D represents 500, and 2007 is greater than that. Choice C (MMDII) is incorrect because D represents 500, and there are two of them, making it 1000, not 2000. Choice D (MMXD) is incorrect as XD is an invalid Roman numeral combination.
3. 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.
4. What is the probability of rolling a 3 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct answer: A
Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.
5. Convert to metric: 7 grams = x milligrams
- A. 700 mg
- B. 0.7 mg
- C. 7,000 mg
- D. 0.07
Correct answer: C
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams is equal to 7,000 milligrams. Choice A (700 mg) is incorrect because it represents grams to milligrams incorrectly. Choice B (0.7 mg) is incorrect as it converts grams to milligrams erroneously by decimal placement. Choice D (0.07) is incorrect as it converts grams to milligrams inaccurately by misplacing the decimal point.
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