HESI A2
HESI A2 Math Portion
1. A child's toy block is a cube with side lengths of 5cm. What is its total surface area?
- A. 25 sq cm
- B. 50 sq cm
- C. 125 sq cm
- D. 150 sq cm
Correct answer: D
Rationale: The surface area of a cube is calculated using the formula: 6 * (side length)^2. Substituting the side length of 5cm into the formula, we get: 6 * (5cm)^2 = 6 * 25cm^2 = 150 sq cm. Therefore, the total surface area of the toy block is 150 sq cm. Choices A (25 sq cm), B (50 sq cm), and C (125 sq cm) are incorrect as they do not correctly calculate the total surface area of the cube.
2. What does Abstain mean?
- A. To voluntarily refrain from something
- B. To consume something
- C. To eat
- D. To encourage
Correct answer: A
Rationale: The correct answer is A: 'To voluntarily refrain from something.' Abstain means to choose not to do or have something, especially something you like or enjoy. Choices B, C, and D are incorrect because abstain does not mean to consume something, to eat, or to encourage. It specifically refers to the act of voluntarily refraining from an action or practice.
3. What is a benefit of water's ability to make hydrogen bonds?
- A. Lack of cohesiveness
- B. Low surface tension
- C. Use as a nonpolar solvent
- D. High specific heat
Correct answer: D
Rationale: The correct answer is D, high specific heat. Water's ability to form hydrogen bonds results in a high specific heat capacity, allowing it to absorb and release a large amount of heat energy with minimal temperature change. This property is essential for moderating temperature changes in organisms and maintaining stable environmental conditions for life processes. Choices A, lack of cohesiveness, and C, use as a nonpolar solvent, are incorrect. Water actually has high cohesiveness due to its ability to form hydrogen bonds, and it is a polar solvent, not nonpolar. Choice B, low surface tension, is also incorrect as water's hydrogen bonding contributes to its relatively high surface tension.
4. 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.
5. Select the phrase in the following sentence that is not used correctly. Having completed the coursework that was required, Jorge now prepares for exam week.
- A. Having completed
- B. was required
- C. now prepares
- D. prepared for
Correct answer: A
Rationale: The phrase 'Having completed' is not used correctly in the sentence. The correct form should be 'Having completed' to show that the action of completing the coursework has already been done. The use of 'complete' is incorrect as it should be 'completed' to maintain the correct verb form in the past participle. Choice B, 'was required,' is used correctly as it is in the passive voice and fits the sentence structure. Choice C, 'now prepares,' is also correct as it shows the current action of Jorge preparing for exam week. Choice D, 'prepared for,' is not the phrase in question and is used correctly in the sentence to indicate the action Jorge took in the past to get ready for exam week.
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