HESI A2
HESI A2 Math Practice Exam
1. The physician ordered 10 units of regular insulin, and 200 U/mL are on hand. How many milliliters will you give?
- A. .45 mL
- B. .75 mL
- C. .25 mL
- D. .05 mL
Correct answer: D
Rationale: To calculate the volume of insulin to be given, you can use the formula: Volume (mL) = (Ordered dose in units / Concentration of insulin in units/mL). Substituting the values, Volume (mL) = (10 units / 200 U/mL) = 0.05 mL. Therefore, the correct answer is 0.05 mL. Choices A, B, and C are incorrect because they do not match the calculated volume based on the provided information.
2. A runner leaves at 7:45 for a morning run at an average speed of 6 mph and returns at 10:00. How many miles did he run?
- A. 11.5 miles
- B. 14.5 miles
- C. 12 miles
- D. 13.5 miles
Correct answer: D
Rationale: The runner left at 7:45 and returned at 10:00, which means he ran for 2 hours and 15 minutes (10:00 - 7:45). At an average speed of 6 mph, in 2.25 hours, he would have covered 6 mph * 2.25 hours = 13.5 miles. Therefore, the correct answer is 13.5 miles. Choices A, B, and C are incorrect because they incorrectly calculate the distance based on the time and speed provided in the question.
3. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?
- A. 36 cm
- B. 46 cm
- C. 51 cm
- D. 56 cm
Correct answer: A
Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.
4. 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.
5. A seamstress is measuring a model for a new dress. The tape measure is marked in centimeters. The seamstress needs to convert that measurement into inches. If the model's waist measurement is 65.4 centimeters, what is that in inches?
- A. 25.74
- B. 21
- C. 15
- D. 10
Correct answer: A
Rationale: To convert centimeters to inches, divide the measurement in centimeters by 2.54 (since 1 inch = 2.54 cm). Therefore, 65.4 cm ÷ 2.54 = 25.74 inches. This means that the model's waist measurement of 65.4 centimeters is equivalent to 25.74 inches. Choices B, C, and D are incorrect as they do not result from the correct conversion calculation.
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