HESI A2
HESI A2 Math Portion
1. 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.
2. If Latoya spends 15 minutes every day practicing her flute, how much time does she spend practicing over a period of two weeks?
- A. 1 hour 45 minutes
- B. 2 hours 30 minutes
- C. 3 hours 30 minutes
- D. 3 hours 45 minutes
Correct answer: C
Rationale: Latoya practices her flute for 15 minutes every day. In two weeks (14 days), the total time spent practicing can be calculated as 15 minutes/day * 14 days = 210 minutes. To convert 210 minutes to hours, divide by 60 (since there are 60 minutes in an hour): 210 / 60 = 3 hours 30 minutes. Therefore, Latoya spends 3 hours 30 minutes practicing her flute over a period of two weeks. Choices A, B, and D are incorrect because they do not accurately calculate the total time Latoya spends practicing over two weeks.
3. What is the volume of water needed to fill a rectangular swimming pool with dimensions 10 meters by 5 meters and a depth of 2 meters?
- A. 50 cu m
- B. 100 cu m
- C. 150 cu m
- D. 200 cu m
Correct answer: B
Rationale: To find the volume of the rectangular swimming pool, you need to multiply the length by the width by the depth. Volume = Length x Width x Depth. Therefore, Volume = 10m x 5m x 2m = 100 cubic meters. This means it takes 100 cubic meters of water to fill the pool. Choices A, C, and D are incorrect as they do not correctly calculate the volume based on the provided dimensions.
4. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
5. Convert 104°F to Celsius.
- A. 40°C
- B. 42°C
- C. 39°C
- D. 35°C
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you can use the formula: °C = (°F - 32) x 5/9. Plugging in the value, °C = (104 - 32) x 5/9 = 72 x 5/9 = 40°C. Therefore, 104°F is equal to 40°C. Choice A is correct. Choice B is incorrect as it is not the result of the conversion. Choice C is incorrect as it is not the result of the conversion. Choice D is incorrect as it is not the result of the conversion.
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