HESI A2
HESI A2 Quizlet Math
1. What is the least common multiple (LCM) of 4 and 6?
- A. 24
- B. 12
- C. 6
- D. 3
Correct answer: A
Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.
2. If a runner runs 5 miles in 45 minutes, what is their average speed in miles per hour?
- A. 6.67 mph
- B. 5 mph
- C. 7 mph
- D. 10 mph
Correct answer: A
Rationale: To find the average speed, first, convert 45 minutes to hours (45/60 = 0.75 hours). Then, divide the distance by the time: 5 miles ÷ 0.75 hours = 6.67 mph. Choice A is correct because it accurately calculates the average speed based on the distance covered and time taken. Choice B is incorrect as it does not consider the time taken to cover the distance. Choice C is incorrect as it is higher than the calculated speed. Choice D is incorrect as it is higher and does not match the calculated average speed.
3. What is the boiling point of water in degrees Fahrenheit?
- A. 100°F
- B. 200°F
- C. 212°F
- D. 250°F
Correct answer: C
Rationale: The correct answer is C: '212°F.' The boiling point of water at standard atmospheric pressure is 212°F. This is the temperature at which water transitions from a liquid to a gas phase, known as boiling. It is a fundamental property of water and a crucial point to remember for various applications in science and everyday life. Choice A (100°F) is the boiling point of water in degrees Celsius, not Fahrenheit. Choice B (200°F) and Choice D (250°F) are not correct boiling points for water at standard atmospheric pressure.
4. If 1 pound equals 453.59 grams, how many grams would a 7 lb. baby weigh?
- A. 3175.13 grams
- B. 4000 grams
- C. 4535 grams
- D. 3500 grams
Correct answer: A
Rationale: To convert pounds to grams, multiply the weight in pounds by the conversion factor of 453.59 grams per pound. Therefore, 7 pounds x 453.59 grams/pound = 3175.13 grams, which is the weight of a 7 lb. baby in grams. Choice A is correct. Choice B (4000 grams) is incorrect as it does not use the correct conversion factor. Choice C (4535 grams) is incorrect as it seems to have used a rounding error. Choice D (3500 grams) is incorrect as it does not apply the correct conversion factor.
5. The price of an item increased from $9.00 to $10.00. What percentage did the price increase by?
- A. 5%
- B. 11.11%
- C. 20%
- D. 25%
Correct answer: B
Rationale: To calculate the percentage increase, subtract the original price from the new price, then divide the result by the original price and multiply by 100. In this case, the increase is $10.00 - $9.00 = $1.00. $1.00 divided by $9.00 is approximately 0.1111, which equals 11.11%, making choice B the correct answer. Choice A, 5%, is too low as the increase is more than 5%. Choice C, 20%, and choice D, 25%, are too high, exaggerating the actual increase of $1.00.
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