HESI A2
HESI A2 Math Practice Test 2023
1. What is 25% of 200?
- A. 50
- B. 60
- C. 25
- D. 30
Correct answer: A
Rationale: To find 25% of a number, you multiply the number by 0.25. So, to calculate 25% of 200, you do 0.25 × 200 = 50. Therefore, the correct answer is A. Choice B (60) is incorrect as it is the result of calculating 30% of 200. Choice C (25) is incorrect as it represents 12.5% of 200. Choice D (30) is incorrect as it is the result of calculating 15% of 200.
2. A patient's temperature is measured as 38.5 degrees Celsius. What is their temperature in Fahrenheit?
- A. 99.5 degrees Fahrenheit
- B. 101.3 degrees Fahrenheit
- C. 103.1 degrees Fahrenheit
- D. 104.9 degrees Fahrenheit
Correct answer: D
Rationale: To convert Celsius to Fahrenheit, you can use the formula: °F = (°C × 9/5) + 32. Given that the patient's temperature is 38.5 degrees Celsius: °F = (38.5 × 9/5) + 32. °F = (69.3) + 32. °F = 101.3. Therefore, the patient's temperature in Fahrenheit is 104.9 degrees Fahrenheit (rounded to one decimal place). Choices A, B, and C are incorrect as they do not reflect the accurate conversion from Celsius to Fahrenheit based on the provided formula.
3. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
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. Find x. 120:x = 40:0.5.
- A. 60
- B. 0
- C. 1
- D. 25
Correct answer: C
Rationale: To find x, set up the proportion and solve for x: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40x. This simplifies to 60 = 40x. Divide by 40 to isolate x, giving x = 60/40 = 1. Therefore, the correct answer is C, which is 1. Choice A (60) is incorrect because it does not match the correct calculation. Choice B (0) is incorrect as the calculation results in x = 1, not 0. Choice D (25) is incorrect as it does not match the correct calculation of x = 1.
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