HESI A2
HESI A2 Math Practice Exam
1. A hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, 5 phlebotomists, 6 receptionists, and 45 physicians. On one particular day, the staff was at only 68% strength. How many people were working that day? (Round to the nearest whole number).
- A. 102
- B. 106
- C. 98
- D. 110
Correct answer: B
Rationale: To find the total staff working that day, add up all the staff members: 25 registered nurses + 75 unlicensed assistants + 5 phlebotomists + 6 receptionists + 45 physicians = 156 staff members. Since the staff was at 68% strength, multiply 156 by 0.68 to get 106. Therefore, approximately 106 people were working that day. Choice A, 102, is incorrect because it underestimates the total staff. Choice C, 98, is incorrect because it is too low. Choice D, 110, is incorrect because it overestimates the total staff.
2. How many grams are in 4 kilograms?
- A. 4000 grams
- B. 3000 grams
- C. 4500 grams
- D. 3500 grams
Correct answer: A
Rationale: The correct answer is A: 4000 grams. To convert kilograms to grams, you need to multiply the number of kilograms by 1000 since there are 1000 grams in 1 kilogram. Therefore, 4 kilograms is equal to 4 x 1000 = 4000 grams. Choice B (3000 grams), C (4500 grams), and D (3500 grams) are incorrect as they do not correctly convert 4 kilograms into grams.
3. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 3 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 3.0 liters
- B. 2.8 liters
- C. 2.5 liters
- D. 3.5 liters
Correct answer: B
Rationale: 3 quarts is approximately 2.8 liters. To convert quarts to liters, multiply the number of quarts by 0.946353. Therefore, the correct answer is 2.8 liters. Choice A (3.0 liters) is incorrect as it does not accurately convert 3 quarts to liters. Choice C (2.5 liters) is incorrect as it is less than the correct conversion. Choice D (3.5 liters) is incorrect as it is more than the correct conversion.
4. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?
- A. -3
- B. 0
- C. 33
- D. 15
Correct answer: C
Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.
5. What is 72 inches converted to feet?
- A. 12 feet
- B. 6 feet
- C. 4 feet
- D. 17 feet
Correct answer: B
Rationale: To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in a foot. Therefore, 72 inches divided by 12 equals 6 feet. The correct answer is 6 feet. Choice A, 12 feet, is incorrect as it is the result if we were converting 144 inches. Choice C, 4 feet, and Choice D, 17 feet, are incorrect conversions and do not correspond to the given measurement of 72 inches.
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