HESI A2
HESI A2 Math 2024
1. A recent census of visitors to a popular beach showed that there was a ratio of 6:16 surfers to swimmers. Which of the following is a possible actual number of surfers and swimmers at the beach?
- A. 62:45
- B. 72:210
- C. 125:00
- D. 219:20
Correct answer: B
Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.
2. What is 33% of 300?
- A. 3
- B. 9
- C. 33
- D. 99
Correct answer: D
Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.
3. The physician ordered 3,000 units of heparin; 5,000 U/mL is on hand. How many milliliters will you give?
- A. 0.5 ml
- B. 0.6 ml
- C. 0.75 ml
- D. 0.8 ml
Correct answer: B
Rationale: To calculate the volume of heparin needed, use the formula: Volume of Heparin = (Ordered Units / Concentration of Heparin). Substituting the values, Volume = (3,000 units / 5,000 U/mL) = 0.6 ml. Therefore, the correct answer is 0.6 ml. Choice A (0.5 ml) is incorrect as it results from an incorrect calculation. Choices C (0.75 ml) and D (0.8 ml) are also incorrect calculations based on the wrong formula application or mathematical errors.
4. Multiply: 15 × 52 =
- A. 0.0078
- B. 0.078
- C. 0.78
- D. 7.8
Correct answer: D
Rationale: To find the product of 15 and 52, you simply multiply them together: 15 x 52 = 780. Therefore, the correct answer is 7.8. Choices A, B, and C are incorrect as they represent fractions or decimals much smaller than the correct product of 780.
5. If a rat can finish a maze in about 3 minutes, how much longer will it take the rat to finish the maze if a small backpack is put on it, reducing its speed by 50%?
- A. 3 minutes
- B. 4 minutes
- C. 6 minutes
- D. 1.5 minutes
Correct answer: C
Rationale: Reducing the rat's speed by 50% means it will take twice as long to finish the maze. Since the original time is 3 minutes, doubling that gives 6 minutes. Therefore, the total time will be 6 minutes, making the correct answer C. Choice A (3 minutes) is the original time it takes the rat to finish the maze, not the time with the backpack. Choice B (4 minutes) is not correct as reducing the speed by 50% would double the original time. Choice D (1.5 minutes) is incorrect as halving the time is not the effect of reducing the speed by 50%.
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