HESI A2
HESI A2 Math 2024
1. In a scale drawing for a toy rocket, 1 inch = 6 inches. If the rocket is 6 inches tall on the drawing, how tall will it be in reality?
- A. 1 foot
- B. 6 feet
- C. 1 yard
- D. 2 yards
Correct answer: B
Rationale: In the scale drawing, 1 inch represents 6 inches in reality. If the rocket is 6 inches tall on the drawing, the actual height of the rocket would be 6 inches x 6 = 36 inches, which is equal to 3 feet or 1 yard. Therefore, the correct answer is 6 feet. Choice A is incorrect because the actual height is more than 1 foot. Choice C is incorrect as 36 inches is equivalent to 1 yard. Choice D is incorrect because 36 inches is not equal to 2 yards.
2. What is (12/15) ÷ (3/5) = ?
- A. 1 1/3
- B. 1 2/3
- C. 2 1/3
- D. 1
Correct answer: A
Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.
3. Convert 2 teaspoons to milliliters.
- A. 4.3 milliliters
- B. 9 milliliters
- C. 9.86 milliliters
- D. 4 milliliters
Correct answer: C
Rationale: To convert teaspoons to milliliters, we use the conversion factor of 1 teaspoon = approximately 4.93 milliliters. Multiplying 2 teaspoons by 4.93 gives us 9.86 milliliters. Therefore, the correct answer is 9.86 milliliters. Choice A (4.3 milliliters) is incorrect as it doesn't align with the conversion factor. Choice B (9 milliliters) is incorrect because it doesn't consider the precise conversion factor. Choice D (4 milliliters) is incorrect as it doesn't account for the accurate conversion from teaspoons to milliliters.
4. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
- A. (2 + 3)^2
- B. 5 x 7 + 2
- C. 10^2 - 4^2
- D. (8 - 1) x 3
Correct answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.
5. A physician wants to prescribe 5 mg of a medication to a patient. The medication comes in a 2-mg dose per 1-mL vial. How many milliliters of the medication should the patient receive?
- A. 2.5 mL
- B. 2 mL
- C. 3 mL
- D. 1 mL
Correct answer: A
Rationale: To determine the amount of medication the patient should receive, divide the prescribed dose by the dose per mL in the vial. In this case, 5 mg ÷ 2 mg/mL = 2.5 mL. Therefore, the patient should receive 2.5 mL of the medication. Choice B (2 mL) is incorrect because it does not reflect the correct calculation. Choice C (3 mL) is incorrect as it is higher than the actual amount calculated. Choice D (1 mL) is incorrect as it is lower than the actual amount calculated.
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