HESI A2
HESI A2 Math Practice Test 2024
1. A doctor prescribes 150 milligrams of medication to be taken orally every 12 hours. How many grams should the patient take per dose?
- A. 0.015 grams
- B. 0.15 grams
- C. 1.5 grams
- D. 15 grams
Correct answer: B
Rationale: Rationale: 1. Convert milligrams to grams: 150 milligrams = 150/1000 = 0.15 grams. Therefore, the patient should take 0.15 grams per dose. Choice A (0.015 grams) is incorrect as the decimal point was misplaced, leading to a value that is too small. Choice C (1.5 grams) is incorrect as it represents 10 times the correct value. Choice D (15 grams) is incorrect as it represents 100 times the correct value. The correct conversion from milligrams to grams is 0.15 grams.
2. Solve for x: 3(x - 4) = 18.
- A. x = 10
- B. x = 12
- C. x = 5
- D. x = 3
Correct answer: A
Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.
3. What percent of 36 is 9?
- A. 25%
- B. 20%
- C. 15%
- D. 10%
Correct answer: D
Rationale: To find out what percent 9 is of 36, divide 9 by 36 and multiply by 100 to convert it to a percentage. So, (9/36) * 100 = 25%. This indicates that 9 is 25% of 36, not 10%. Choice A, 25%, is the result of calculating what percent 36 is of 9, not the other way around. Choices B and C are incorrect as they do not align with the calculated percentage.
4. If x=11, solve (x+44)/2x.
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct answer: B
Rationale: Given x=11, substitute into the expression: (11 + 44) / (2*11) = 55 / 22 = 2.5. Therefore, the correct answer is 2.5. Choice A (33) is incorrect as it does not represent the correct calculation. Choice C (13) is incorrect as it is not the result of the expression. Choice D (55/22) is incorrect as it is the same as the simplified form of the expression, not the answer to the calculation.
5. Jill saved $140 out of the $400 she earned in one month. What percent of her earnings did she save?
- A. 30%
- B. 35%
- C. 40%
- D. 25%
Correct answer: B
Rationale: To calculate the percentage of her earnings that Jill saved, divide the amount saved ($140) by the total earnings ($400) and then multiply by 100 to find the percentage. Therefore, (140/400) * 100 = 35%. Jill saved 35% of her earnings. Choice A (30%) is incorrect because it underestimates the percentage saved. Choice C (40%) is incorrect as it overestimates the percentage saved. Choice D (25%) is incorrect for the same reason. The correct calculation is 140/400 = 0.35 * 100 = 35%.
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