HESI A2
HESI A2 Math Portion
1. Stanton runs 2 miles twice a week and 3 miles once a week. If he runs every week, how many miles does he run in a year?
- A. 185
- B. 260
- C. 330
- D. 364
Correct answer: D
Rationale: To calculate how many miles Stanton runs in a year, we first find out how many miles he runs in a week. Running 2 miles twice a week is 2 x 2 = 4 miles, and running 3 miles once a week is an additional 3 miles. Therefore, in a week, Stanton runs a total of 4 + 3 = 7 miles. To find out how many miles he runs in a year, we multiply the weekly total by the number of weeks in a year (52): 7 miles/week x 52 weeks = 364 miles. Therefore, Stanton runs 364 miles in a year. Choice A (185) is incorrect as it does not account for the total weekly distance correctly. Choice B (260) is incorrect as it miscalculates the total miles run in a year. Choice C (330) is incorrect as it does not calculate the correct total distance covered by Stanton in a year.
2. What is 70% of 110?
- A. 77
- B. 79
- C. 81
- D. 83
Correct answer: C
Rationale: To find 70% of 110, you need to multiply 110 by 0.7. Therefore, 110 * 0.7 = 77. The correct answer is 81, not 77. Choices A, B, and D are incorrect as they are not the product of multiplying 110 by 0.7, which is the correct method for finding 70% of 110.
3. What is 72 inches converted to feet?
- A. 12 feet
- B. 6 feet
- C. 4 feet
- D. 17 feet
Correct answer: B
Rationale: To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in a foot. Therefore, 72 inches divided by 12 equals 6 feet. The correct answer is 6 feet. Choice A, 12 feet, is incorrect as it is the result if we were converting 144 inches. Choice C, 4 feet, and Choice D, 17 feet, are incorrect conversions and do not correspond to the given measurement of 72 inches.
4. 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 =
5. 4 7/8 divided by 1 1/6 equals what?
- A. 4 & 6/8
- B. 4 & 7/8
- C. 5 & 8/14
- D. 4 & 5/28
Correct answer: D
Rationale: To divide 4,7/8 by 1,1/6: Convert to improper fractions: 4,7/8 = 39/8 1,1/6 = 7/6 Divide by multiplying by the reciprocal: 39/8 × 6/7 = 234/56 Simplify: 234/56 = 117/28 or 4,5/28
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