HESI A2
HESI A2 Math Practice Test 2024
1. Find the value of x if x:15=120:225.
- A. x=8
- B. x=10
- C. x=6
- D. x=12
Correct answer: A
Rationale: To solve x:15=120:225, set it up as a proportion: x/15 = 120/225. Simplify the right-hand side: 120/225 = 8/15. Now, solve for x by cross-multiplying: x = 8. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not align with the correct calculations.
2. Which conclusion can the reader draw after reading this passage?
- A. The climate crisis has increased deaths from heatstroke.
- B. Heat exhaustion rarely occurs in dry environments.
- C. The cessation of sweat is not necessarily a positive sign.
- D. Temperatures below 90 degrees are usually not dangerous.
Correct answer: C
Rationale: The passage notes that stopping sweating entirely is a serious sign that requires medical attention.
3. How many centimeters are there in 1 foot?
- A. 4.72 centimeters
- B. 10 centimeters
- C. 25.4 centimeters
- D. 30.48 centimeters
Correct answer: D
Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.
4. Why does fluorine have a higher ionization energy than oxygen?
- A. Fluorine has a smaller number of neutrons.
- B. Fluorine has a larger number of neutrons.
- C. Fluorine has a smaller nuclear charge.
- D. Fluorine has a larger nuclear charge.
Correct answer: D
Rationale: Fluorine has a higher ionization energy than oxygen because fluorine has a larger nuclear charge. The greater number of protons in the nucleus of fluorine attracts its electrons more strongly, making it harder to remove an electron from a fluorine atom compared to an oxygen atom. Choice A is incorrect as the number of neutrons does not directly affect ionization energy. Choice B is also incorrect for the same reason. Choice C is incorrect because a smaller nuclear charge would result in lower ionization energy, not higher.
5. Enthalpy (H) is a thermodynamic property defined as the sum of a system's internal energy (U) and the product of its pressure (P) and volume (V). The relationship between these is:
- A. H = U + PV
- B. H = U - PV
- C. H = U / PV
- D. H = PV / U
Correct answer: A
Rationale: Enthalpy (H) is defined as H = U + PV, where U represents internal energy, P is pressure, and V is volume. Enthalpy includes both the internal energy of a system and the energy required to create space for the system against an external pressure. Therefore, the correct relationship between enthalpy, internal energy, pressure, and volume is H = U + PV. Choice B is incorrect as subtracting PV would not account for the work done against pressure. Choice C is incorrect as dividing U by PV doesn't represent the definition of enthalpy. Choice D is incorrect as dividing PV by U is not the correct relationship based on the definition of enthalpy.
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