HESI A2
HESI A2 Math Practice
1. A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?
- A. 2 units
- B. 3 units
- C. 4 units
- D. 5 units
Correct answer: B
Rationale: Rationale: 1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL. 2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units. 3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units. Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.
2. If y = 4 and x = 3, solve y x³
- A. -108
- B. 108
- C. 27
- D. 4
Correct answer: B
Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.
3. If Bill has 5.5 vacation days left for the rest of the year and 3.25 sick days left, how many days will he have off work if he uses all of this time?
- A. 8.75
- B. 7.75
- C. 9
- D. 6.75
Correct answer: A
Rationale: To calculate the total days off, you need to sum up the remaining vacation days and sick days. 5.5 vacation days + 3.25 sick days = 8.75 days off. Therefore, the correct answer is A. Choice B (7.75) is incorrect because it doesn't account for all available days off. Choice C (9) is incorrect as it overestimates the total days off. Choice D (6.75) is incorrect as it underestimates the total days off.
4. After taking several practice tests, Brian improved the results of his GRE test by 30%. Given that the first time he took the test Brian answered 150 questions correctly, how many questions did he answer correctly on the second test?
- A. 105
- B. 120
- C. 180
- D. 195
Correct answer: D
Rationale: If Brian answered 150 questions correctly on the first test, after improving his results by 30%, he would have answered (150 * 1.30) = 195 questions correctly on the second test. Therefore, the correct answer is 195, option D. Choices A, B, and C are incorrect as they do not account for the 30% improvement in the number of questions Brian answered correctly on the second test.
5. Express the ratio of 12:15 as a percentage.
- A. 58.80%
- B. 62%
- C. 75.25%
- D. 80%
Correct answer: C
Rationale: To express the ratio 12:15 as a percentage, you need to find the total parts in the ratio (12 + 15 = 27), then divide one part by the total (12 ÷ 27 = 0.4444). Finally, convert the decimal to a percentage by multiplying by 100 (0.4444 x 100 = 44.44%). Therefore, the ratio 12:15 is equivalent to 44.44% when rounded to two decimal places, which is closest to 75.25% among the answer choices. Choices A, B, and D are incorrect as they do not represent the correct percentage equivalent of the ratio 12:15.
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