HESI A2
HESI A2 Practice Test Math
1. 7:5=91:x. Find x.
- A. x=65
- B. x=55
- C. x=75
- D. x=85
Correct answer: A
Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.
2. A car travels 60 miles per hour for 2.5 hours. How far does the car travel?
- A. 120 miles
- B. 150 miles
- C. 180 miles
- D. 170 miles
Correct answer: A
Rationale: To find the total distance traveled, multiply the speed of the car (60 miles per hour) by the time it traveled (2.5 hours): 60 miles/hour * 2.5 hours = 150 miles. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly calculate the total distance traveled by the car.
3. What is the result of subtracting 9.99 from 12.02?
- A. 2.03
- B. 2.21
- C. 3.17
- D. 7.97
Correct answer: A
Rationale: The correct subtraction is 12.02 - 9.99 = 2.03. Therefore, the correct answer is A. Choice B, 2.21, is incorrect as it does not result from the given subtraction. Choice C, 3.17, is also incorrect. Choice D, 7.97, is incorrect as well. Thus, A is the only correct answer.
4. What is the result of dividing 5 3/4 by 1/2?
- A. 11 & 1/2
- B. 2 & 3/8
- C. 3 & 1/8
- D. 18
Correct answer: A
Rationale: When dividing fractions, you multiply by the reciprocal of the divisor. To divide 5 3/4 by 1/2, you multiply 5 3/4 by 2/1 (reciprocal of 1/2) to get 23/4 * 2/1 = 46/4 = 11 1/2. Therefore, the correct answer is A. Choice B (2 & 3/8) is incorrect as it does not result from dividing 5 3/4 by 1/2. Choice C (3 & 1/8) is incorrect as well. Choice D (18) is not the correct result of the division performed.
5. A nurse needs to dilute 2 milliliters of a concentrated medication with 8 milliliters of sterile water. What is the final concentration of the solution in percent?
- A. 16.67%
- B. 20%
- C. 25%
- D. 50%
Correct answer: B
Rationale: To find the final concentration, first, calculate the total volume of the solution (2 ml + 8 ml = 10 ml). Then, determine the concentration by dividing the volume of the concentrated medication by the total volume and multiplying by 100%: (2 ml / 10 ml) * 100% = 20%. Therefore, the correct answer is B. Choice A (16.67%) is incorrect as it does not represent the correct calculation. Choices C (25%) and D (50%) are both incorrect as they do not reflect the accurate concentration resulting from the dilution process.
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