HESI A2
Math HESI A2 Practice Test
1. 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.
2. Convert 5 3/4 to a decimal. Round to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 5.8
- D. 6
Correct answer: C
Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Therefore, the correct answer is 5.8. Choice A, 5.75, is the result before rounding to the nearest tenth. Choice B, 5.7, is incorrect as it does not account for the 0.05 difference when rounding. Choice D, 6, is the next whole number and is not the correct decimal equivalent of 5 3/4.
3. The recipe called for 3 1/2 pints of sour cream. How many cups of sour cream would that be equivalent to?
- A. 5 cups
- B. 7 cups
- C. 6 cups
- D. 4 cups
Correct answer: B
Rationale: To convert 3 1/2 pints of sour cream to cups, knowing that 1 pint equals 2 cups, we multiply 3.5 by 2, resulting in 7 cups. Therefore, the equivalent amount of sour cream in cups is 7 cups. Choice A is incorrect as it does not consider the correct conversion factor. Choice C is incorrect as it does not account for the accurate conversion from pints to cups. Choice D is incorrect as it underestimates the conversion by not multiplying the pints by the correct factor.
4. A truck driver traveled 925 miles from 8 am Tuesday to 5 pm Wednesday. During that time, he stopped for 30 minutes for lunch and gas at 1 pm Tuesday. He stopped for the night at 7 pm and was back on the road at 5 am. What was his average speed?
- A. 42 mph
- B. 35 mph
- C. 30 mph
- D. 50 mph
Correct answer: A
Rationale: To find the average speed, divide the total distance traveled (925 miles) by the total time taken (22 hours). Subtracting the time for the lunch and gas stop (30 minutes) and overnight stop (7 pm to 5 am, 10 hours), we have a total elapsed time of 22 hours. Dividing 925 miles by 22 hours gives an average speed of approximately 42 mph. Choice B, 35 mph, is incorrect because it doesn't account for the total time spent including the stops. Choice C, 30 mph, is incorrect as it underestimates the speed. Choice D, 50 mph, is incorrect as it overestimates the speed.
5. Convert 26°C to Fahrenheit.
- A. 78°F
- B. 72°F
- C. 80°F
- D. 85°F
Correct answer: A
Rationale: To convert Celsius to Fahrenheit, the formula F = (9/5)C + 32 is used. Substituting 26°C into the formula: F = (9/5)(26) + 32 = 78.8°F, which rounds to 78°F. Therefore, the correct answer is 78°F. Choice B (72°F), Choice C (80°F), and Choice D (85°F) are incorrect as they do not result from the correct conversion calculation.
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