HESI A2
HESI A2 Math Practice Exam
1. Which of the following numbers is a perfect square?
- A. 10
- B. 12
- C. 15
- D. 16
Correct answer: D
Rationale: A perfect square is a number obtained by squaring an integer. In this case, 16 is a perfect square because it is the result of squaring 4 (4 x 4 = 16). The other answer choices, 10, 12, and 15, are not the product of squaring any whole number, making them incorrect. Therefore, the correct answer is 16, as it is a perfect square.
2. Solve for y if y = 3: 4y + 21/y
- A. 19
- B. 7.7
- C. 23/3
- D. 11
Correct answer: A
Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.
3. What number is represented by the Roman Numerals XLIV?
- A. 34
- B. 54
- C. 44
- D. 24
Correct answer: C
Rationale: In Roman numerals, XL represents 40, and IV represents 4. When XL (40) is combined with IV (4), it forms XLIV, which corresponds to the number 44. Therefore, the correct answer is 44. Choice A (34) is incorrect as it does not consider the value of XL and IV. Choice B (54) is incorrect as it miscalculates the value of XL. Choice D (24) is incorrect as it does not account for the value of XL.
4. An IV bag contains 500ml of saline solution and needs to be infused over 4 hours. What is the flow rate in drops per minute, assuming 20 drops per milliliter?
- A. 12.5 drops/min
- B. 25 drops/min
- C. 50 drops/min
- D. 100 drops/min
Correct answer: C
Rationale: To find the flow rate in drops per minute, first, calculate the total volume in drops by multiplying the volume in milliliters by the number of drops per milliliter (500ml * 20 drops/ml = 10,000 drops). Then, divide this total number of drops by the infusion time in minutes (4 hours * 60 minutes/hour = 240 minutes) to get the flow rate. Therefore, the correct flow rate is 50 drops/min. Choice A is incorrect because it miscalculates the flow rate. Choice B is incorrect as it also miscalculates the flow rate. Choice D is incorrect as it overestimates the flow rate.
5. A circular bandage has a diameter of 6cm. What is the area covered by the bandage (area of a circle = πr^2)?
- A. 9π cm^2
- B. 18π cm^2
- C. 27π cm^2
- D. 36π cm^2
Correct answer: C
Rationale: Rationale: - The formula for the area of a circle is A = πr^2, where r is the radius of the circle. - The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm. - Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2. - Therefore, the area covered by the bandage is 9π cm^2.
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