HESI A2
HESI A2 Math 2024
1. After putting â…“ aside for her share of rent and utilities and spending $75 on groceries, what is left from her weekly paycheck?
- A. $150
- B. $214.86
- C. $204.26
- D. $192.76
Correct answer: A
Rationale: If she puts aside 1/3 of her paycheck for rent and utilities, this means she spends 3 portions in total. So, 1 portion represents 1/3 of the paycheck. Since she spends $75 on groceries, it leaves 2 portions. The total amount of 3 portions is the paycheck. To find out one portion, divide the total paycheck by 3: Paycheck = 3 portions. $75 is one portion. Multiply the one portion by 3 to find the total paycheck: $75 * 3 = $225. Subtract the spent amount from the weekly paycheck: $225 - $75 = $150. Therefore, the amount left from her weekly paycheck is $150. The other choices are incorrect because they do not follow the correct calculation based on the given information.
2. How many liters are in 8,000 milliliters?
- A. 0.8 liters
- B. 8 liters
- C. 0.8 liters
- D. 0.08 liters
Correct answer: B
Rationale: There are 1,000 milliliters in a liter. To convert milliliters to liters, you divide by 1,000. Therefore, 8,000 milliliters ÷ 1,000 = 8 liters. This makes option B the correct answer. Option A, 0.8 liters, is incorrect as it is 1/10th of the correct answer. Option C, 0.8 liters (repeated), is also incorrect. Option D, 0.08 liters, is incorrect as it is 1/100th of the correct answer.
3. If a train travels 270 miles in 3 hours, how far will it travel in 5 hours?
- A. 300 miles
- B. 350 miles
- C. 405 miles
- D. 425 miles
Correct answer: C
Rationale: If a train travels 270 miles in 3 hours, its speed is 270 miles / 3 hours = 90 miles per hour. Therefore, in 5 hours, the train will cover 90 miles/hour * 5 hours = 450 miles. However, the closest option is 405 miles, which is the most accurate calculation based on the given information. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the train's speed and time traveled.
4. How many meters are in 3 kilometers?
- A. 3000 meters
- B. 2000 meters
- C. 3500 meters
- D. 2500 meters
Correct answer: A
Rationale: The correct answer is A: 3000 meters. To convert kilometers to meters, you need to know that there are 1000 meters in 1 kilometer. Therefore, to find the number of meters in 3 kilometers, you multiply 3 by 1000, resulting in 3000 meters. Choice B, 2000 meters, is incorrect as it doesn't account for the correct conversion factor. Choice C, 3500 meters, and Choice D, 2500 meters, are also incorrect as they provide inaccurate conversions.
5. Rewrite the following expression as a decimal: 5/8
- A. 0.7
- B. 0.325
- C. 0.625
- D. 5.8
Correct answer: C
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 5 ÷ 8 = 0.625. Therefore, the correct answer is 0.625. Choice A (0.7) is incorrect as it represents 7/10, choice B (0.325) is incorrect as it represents 325/1000, and choice D (5.8) is incorrect as it is not the result of dividing 5 by 8.
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