HESI A2
HESI A2 Math
1. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month?
- A. 4,600
- B. 5,520
- C. 6,400
- D. 8,320
Correct answer: B
Rationale: If Janice sells 690 vacuum cleaners per year, Randy sells 8 times that amount, which is 690 x 8 = 5,520 vacuum cleaners per year. To find out how many Randy sells each month, you divide 5,520 by 12 (months), which equals 460 vacuum cleaners per month. Therefore, Randy sells 5,520 vacuum cleaners per year divided by 12 months, which equals 460 vacuum cleaners per month. Choices A, C, and D are incorrect as they do not reflect the correct calculation based on the information provided.
2. Write the date 1776 in Roman numerals.
- A. MDCCLXXVI
- B. MDDLXXI
- C. MCCDLXVI
- D. MCMLXXVI
Correct answer: A
Rationale: In Roman numerals, 1776 is correctly written as MDCCLXXVI. Here's the breakdown: M (1000) + D (500) + CCC (300) + L (50) + XX (20) + VI (6) = 1776. Therefore, the correct Roman numeral representation of the date 1776 is MDCCLXXVI. Choice A is correct because it follows the correct Roman numeral rules for representing 1776. Choices B, C, and D are incorrect as they do not add up to 1776 according to Roman numeral conventions.
3. If a dice is rolled, what is the probability of getting an even number?
- A. 16%
- B. 33%
- C. 66%
- D. 50%
Correct answer: D
Rationale: When rolling a standard six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an even number can be calculated as the number of favorable outcomes (3) divided by the total number of outcomes (6), which equals 3/6 = 50%. Therefore, the correct answer is D. Choice A (16%) is incorrect because it does not represent the probability of rolling an even number. Choice B (33%) is incorrect as it does not reflect the correct probability. Choice C (66%) is incorrect as well since it overestimates the probability.
4. A researcher is collecting data on patient satisfaction. Out of 150 patients surveyed, 120 reported being satisfied with their care. What percentage of the patients were satisfied?
- A. 80%
- B. 75%
- C. 85%
- D. 90%
Correct answer: A
Rationale: To find the percentage of satisfied patients, divide the number of satisfied patients by the total number of patients surveyed and multiply by 100. In this case, 120 (satisfied patients) รท 150 (total patients surveyed) x 100 = 80%. Therefore, 80% of the patients were satisfied. Choice B (75%), C (85%), and D (90%) are incorrect percentages as the actual percentage of satisfied patients is 80%.
5. Stanton runs 2 miles twice a week and 3 miles once a week. If he runs every week, how many miles does he run in a year?
- A. 185
- B. 260
- C. 330
- D. 364
Correct answer: D
Rationale: To calculate how many miles Stanton runs in a year, we first find out how many miles he runs in a week. Running 2 miles twice a week is 2 x 2 = 4 miles, and running 3 miles once a week is an additional 3 miles. Therefore, in a week, Stanton runs a total of 4 + 3 = 7 miles. To find out how many miles he runs in a year, we multiply the weekly total by the number of weeks in a year (52): 7 miles/week x 52 weeks = 364 miles. Therefore, Stanton runs 364 miles in a year. Choice A (185) is incorrect as it does not account for the total weekly distance correctly. Choice B (260) is incorrect as it miscalculates the total miles run in a year. Choice C (330) is incorrect as it does not calculate the correct total distance covered by Stanton in a year.
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