HESI A2
HESI A2 Math Practice Test
1. If the outside temperature is 59 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?
- A. −9°C
- B. 15°C
- C. 23°C
- D. 87°C
Correct answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: °C = (°F - 32) x 5/9. Substituting the Fahrenheit temperature of 59 degrees into the formula: °C = (59 - 32) x 5/9 = 27 x 5/9 = 135/9 = 15. Therefore, the approximate temperature on the Celsius scale is 15°C. Choice A is incorrect as it represents a negative temperature which is not the case here. Choice C and D are also incorrect as they do not match the calculated conversion from Fahrenheit to Celsius.
2. If a train travels at 80 kilometers per hour, how many kilometers will it travel in 3 hours?
- A. 240 kilometers
- B. 160 kilometers
- C. 240 kilometers
- D. 210 kilometers
Correct answer: A
Rationale: To find the total distance traveled, you need to multiply the speed of the train by the time it travels. So, 80 km/h * 3 hours = 240 kilometers. Therefore, the correct answer is 240 kilometers. Choice B (160 kilometers) is incorrect because it is the result of multiplying the speed by 2 hours instead of 3. Choice C (240 kilometers) is the same as the correct answer, making it redundant. Choice D (210 kilometers) is incorrect as it is the result of multiplying the speed by 2.5 hours instead of 3.
3. If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?
- A. 56°F
- B. 62°F
- C. 66.5°F
- D. 71.6°F
Correct answer: D
Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C x 1.8) + 32. Substituting C = 22 into the formula gives: F = (22 x 1.8) + 32 = 39.6 + 32 = 71.6°F. Therefore, the approximate temperature on the Fahrenheit scale when it is 22 degrees Celsius is 71.6°F. Choices A, B, and C are incorrect because they do not match the correct conversion result. Choice A, 56°F, is lower than the correct conversion. Choice B, 62°F, is also lower than the correct conversion. Choice C, 66.5°F, is not a whole number and does not match the precise conversion of 71.6°F. Thus, the correct answer is 71.6°F.
4. How many milliliters are in 4 liters?
- A. 40 milliliters
- B. 40 milliliters
- C. 4000 milliliters
- D. 4 milliliters
Correct answer: C
Rationale: To convert liters to milliliters, you must remember that 1 liter is equal to 1,000 milliliters. Therefore, to find out how many milliliters are in 4 liters, you multiply 4 by 1,000. This gives you a total of 4,000 milliliters in 4 liters. Choices A, B, and D are incorrect because they do not correctly convert liters to milliliters. A and B incorrectly represent 40 milliliters, which would be the result if you mistakenly multiplied by 10 instead of 1,000. Choice D is even further from the correct answer, as it suggests only 4 milliliters, which is significantly less than the actual conversion of 4 liters to milliliters.
5. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?
- A. 12 and 16
- B. 15 and 17
- C. 20 and 24
- D. 28 and 36
Correct answer: B
Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.
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