HESI A2
HESI A2 Practice Test Math
1. A lab test result shows a blood glucose level of 5.5 millimoles per liter (mmol/L). What is the equivalent level in milligrams per deciliter (mg/dL)?
- A. 55 mg/dL
- B. 5.5 mg/dL
- C. 0.55 mg/dL
- D. 550 mg/dL
Correct answer: A
Rationale: To convert the blood glucose level from millimoles per liter (mmol/L) to milligrams per deciliter (mg/dL), we need to perform a double conversion. 1 millimole is equivalent to 180.15 milligrams, and 1 liter is equal to 10 deciliters. First, multiply the glucose level (5.5 mmol/L) by the conversion factor for millimoles to milligrams (180.15 mg/mmol), then divide by the conversion factor for liters to deciliters (10 dL/L): 5.5 mmol/L * 180.15 mg/mmol / 10 dL/L ≈ 55 mg/dL. Therefore, the equivalent blood glucose level in mg/dL is 55. Choice A is correct. Choice B is incorrect as it does not account for the conversion factors properly. Choices C and D are significantly off as they do not follow the correct conversion calculations.
2. If Mr. Johnson gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over, how much pay does he receive?
- A. $3,600
- B. $3,500
- C. $2,800
- D. $1,750
Correct answer: B
Rationale: Let Mr. Johnson's pay be represented as x. After giving half of his pay to his family, he has x/2 left. Subtracting $250 paid to his landlord, he has x/2 - $250 remaining. Given that this remaining amount is 3/7 of his original pay, the equation becomes x/2 - $250 = 3x/7. Solving this equation shows that x = $3,500. Therefore, Mr. Johnson receives $3,500. Choices A, C, and D are incorrect as they do not align with the correct calculation based on the given conditions in the question.
3. Round to the tenths place: What is 6.4% of 32?
- A. 1.8
- B. 2.1
- C. 2.6
- D. 2.0
Correct answer: B
Rationale: To find 6.4% of 32, first calculate 6.4% as a decimal (0.064) and then multiply it by 32 to get 2.048. When rounding to the tenths place, 2.048 is rounded to 2.1 because the digit after the tenths place is 8, which is equal to or greater than 5. Choice A is incorrect as it does not reflect the accurate calculation. Choices C and D are also incorrect because they do not match the correct result of multiplying 6.4% by 32 and rounding to the tenths place.
4. Two buildings in downtown Chicago stand across the river. The first building is 1,700 feet tall and casts a shadow of 525 feet. If the second building is 1,450 feet tall, how long will its shadow be?
- A. 478 feet
- B. 455 feet
- C. 448.5 feet
- D. 450 feet
Correct answer: C
Rationale: To find the shadow of the second building, we use the ratio of heights to shadows: 1,700/525 = 1,450/x. Solving for x gives x = (525 × 1,450)/1,700 = 448.5. Therefore, the shadow of the second building will be approximately 448.5 feet long. Choice A (478 feet) is incorrect because it is not the result of the correct calculation. Choice B (455 feet) is incorrect as it does not match the accurate answer obtained through the calculation. Choice D (450 feet) is incorrect as it does not reflect the correct length of the shadow of the second building.
5. Which of the following numbers is NOT divisible by 3?
- A. 105
- B. 141
- C. 273
- D. 810
Correct answer: D
Rationale: To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3. A) 105: 1 + 0 + 5 = 6, which is divisible by 3. Therefore, 105 is divisible by 3. B) 141: 1 + 4 + 1 = 6, which is divisible by 3. Therefore, 141 is divisible by 3. C) 273: 2 + 7 + 3 = 12, which is divisible by 3. Therefore, 273 is divisible by 3. D) 810: 8 + 1 + 0 = 9, which is not divisible by 3. Therefore, 810 is NOT divisible by 3. Therefore, the correct answer is D (810). Choices A, B, and C are all divisible by 3 as the sum of their digits is divisible by 3.
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