HESI A2
HESI A2 Math Practice Test 2023
1. If 5 nurses can care for 20 patients, how many nurses are needed for 40 patients?
- A. 7
- B. 8
- C. 9
- D. 10
Correct answer: B
Rationale: If 5 nurses can care for 20 patients, it means each nurse is responsible for 20/5 = 4 patients. To care for 40 patients, we divide the total patients by the number of patients each nurse can care for: 40/4 = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Among the options, the closest number is 8 nurses, making it the correct answer. Choice A, 7 nurses, is insufficient. Choice C, 9 nurses, exceeds the required amount. Choice D, 10 nurses, matches the total number of nurses required, not the closest, making it incorrect.
2. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 12 kg. How many tablets will you give?
- A. 1 tablet
- B. 3 tablets
- C. 2 tablets
- D. 4 tablets
Correct answer: B
Rationale: To calculate the total dose of Tylenol for the child weighing 12 kg, multiply the weight by the ordered dose: 12 kg x 20 mg/kg = 240 mg. Since each tablet contains 80 mg of Tylenol, divide the total dose needed by the amount per tablet: 240 mg รท 80 mg/tablet = 3 tablets. Therefore, the correct answer is 3 tablets. Choices A, C, and D are incorrect because they do not reflect the accurate calculation for the number of tablets required based on the child's weight and the ordered dose per kg.
3. Subtract 15 3/4 - 8 2/5.
- A. 7 7/20
- B. 6 7/20
- C. 9 1/5
- D. 8 2/5
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. In this case, the common denominator is 20. Convert 15 3/4 to 15 15/20. Then, subtract 15 15/20 - 8 8/20 = 7 7/20. Therefore, the correct answer is A. Choice B is incorrect as it does not match the result of the subtraction. Choice C is incorrect as it is not the result of the subtraction. Choice D is incorrect as it represents the second number being subtracted, not the result of the subtraction.
4. Ratio and proportion: 6:10=24:x
- A. 40
- B. 25
- C. 240
- D. 4
Correct answer: A
Rationale: To solve for x, use cross-multiplication: 6x = 10 x 24 6x = 240 Now, divide both sides by 6 to find x: x = 240 / 6 = 40 Therefore, the correct answer is A. 40. Choice B, 25, is incorrect because it does not satisfy the proportion. Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x. Choice D, 4, is incorrect as it does not align with the correct calculation for x.
5. Change 0.015 to a fraction.
- A. 3/200
- B. 3/2000
- C. 15/1000
- D. 3/100
Correct answer: A
Rationale: To convert 0.015 to a fraction, we can rewrite it as 15/1000. Simplifying this fraction, we get 3/200. Therefore, the correct answer is A. Choice B (3/2000) is incorrect as the decimal 0.015 is equivalent to 15/1000, not 15/2000. Choice C (15/1000) is the initial form of 0.015 as a fraction, but it can be further simplified to 3/200. Choice D (3/100) is incorrect as it does not represent the decimal 0.015.
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