HESI A2
HESI A2 Math Portion
1. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?
- A. 100ml 10% solution, 100ml water
- B. 150ml 10% solution, 50ml water
- C. 160ml 10% solution, 40ml water
- D. 200ml 10% solution, 0ml water
Correct answer: B
Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =
2. What is the result of subtracting 9.99 from 12.02?
- A. 2.03
- B. 2.21
- C. 3.17
- D. 7.97
Correct answer: A
Rationale: The correct subtraction is 12.02 - 9.99 = 2.03. Therefore, the correct answer is A. Choice B, 2.21, is incorrect as it does not result from the given subtraction. Choice C, 3.17, is also incorrect. Choice D, 7.97, is incorrect as well. Thus, A is the only correct answer.
3. How many gallons are in 3 fluid ounces?
- A. 0.0234 gallons
- B. 0.5 gallons
- C. 0.38 gallons
- D. 0.12 gallons
Correct answer: A
Rationale: To convert fluid ounces to gallons, you need to divide the number of fluid ounces by 128 because there are 128 fluid ounces in 1 gallon. Therefore, 3 fluid ounces ÷ 128 equals approximately 0.0234 gallons. Choice A is correct. Choice B (0.5 gallons) is incorrect as it is equivalent to 64 fluid ounces, not 3. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect conversions of 3 fluid ounces to gallons.
4. How many grams are in 10 kilograms?
- A. 10,000 grams
- B. 100 grams
- C. 1000 grams
- D. 100,000 grams
Correct answer: A
Rationale: The correct answer is A: 10,000 grams. There are 1,000 grams in a kilogram. Therefore, to find the number of grams in 10 kilograms, you multiply 10 (kilograms) by 1,000 (grams/kilogram) to get 10,000 grams. Choice B (100 grams) is incorrect as it represents the conversion for 1 kilogram, not 10 kilograms. Choice C (1000 grams) is incorrect as it is equal to 1 kilogram, not 10 kilograms. Choice D (100,000 grams) is incorrect as it represents the conversion for 100 kilograms, not 10 kilograms.
5. A train travels at 65 mph for 1.5 hours. How far did it travel?
- A. 97.5 miles
- B. 95 miles
- C. 100 miles
- D. 100.5 miles
Correct answer: A
Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph × 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.
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