HESI A2
HESI A2 Math 2024
1. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?
- A. 100ml
- B. 120ml
- C. 140ml
- D. 160ml
Correct answer: B
Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.
2. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 2 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 2
- B. 1
- C. 3 liters
- D. 5 liters
Correct answer: A
Rationale: To convert 2 quarts to liters, we can use the conversion factor that 1 quart is approximately equal to 0.95 liters. Therefore, 2 quarts would be approximately 1.9 liters, which is closest to 2 liters. As the measuring device is marked in liters, the teacher's aide should use 2 liters of water to dilute the contents of the package. Choice A is correct. Choice B is incorrect because it's the same as the original amount in quarts. Choice C is incorrect as it suggests using more water than necessary. Choice D is incorrect as it suggests using significantly more water than necessary.
3. 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.
4. What is three tenths of 90?
- A. 18
- B. 45
- C. 27
- D. 36
Correct answer: C
Rationale: To find three tenths of 90, you need to multiply 90 by 0.3 (since three tenths equals 0.3). Therefore, 90 * 0.3 = 27. This calculation shows that the correct answer is 27. Choice A (18), choice B (45), and choice D (36) are incorrect as they do not represent three tenths of 90.
5. A doctor orders 1 gram of a medication to be administered intravenously. The available vial contains 200 milligrams per milliliter. How many milliliters of the solution should be drawn up?
- A. 4 milliliters
- B. 5 milliliters
- C. 10 milliliters
- D. 20 milliliters
Correct answer: B
Rationale: 1 gram is equivalent to 1000 milligrams. The concentration of the medication is 200 milligrams per milliliter. To calculate the volume needed, divide the total amount of medication by the concentration: 1000 mg / 200 mg/mL = 5 mL. Therefore, 5 milliliters of the solution should be drawn up to administer 1 gram of the medication intravenously. Choice A (4 milliliters), Choice C (10 milliliters), and Choice D (20 milliliters) are incorrect because they do not accurately calculate the volume of the solution needed based on the concentration of the medication.
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