HESI A2
HESI A2 Math Practice Exam
1. Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more?
- A. John
- B. Sally
- C. Both ate the same
- D. Cannot be determined
Correct answer: A
Rationale: To compare the portions eaten by Sally and John, it's necessary to express both in the same denominator. Since 75% is equivalent to 6/8, John ate 6/8 while Sally ate 5/8 of their lunches. Therefore, John ate more than Sally. Choice A is correct. Choice B is incorrect as John ate 6/8 compared to Sally's 5/8. Choice C is incorrect as the amounts eaten are different. Choice D is incorrect as it can be determined based on the given information.
2. The Prandtl number (Pr) is a dimensionless property relating:
- A. Viscosity and thermal diffusivity
- B. Density and pressure
- C. Surface tension and pressure
- D. Reynolds number and flow regime
Correct answer: A
Rationale: The Prandtl number (Pr) is a dimensionless number used to characterize fluid flow. It is the ratio of momentum diffusivity to thermal diffusivity. In simpler terms, it relates the ability of a fluid to conduct heat to its ability to conduct momentum. Therefore, the correct relationship is between viscosity and thermal diffusivity, making choice A the correct answer. Choices B, C, and D are incorrect because they do not represent the properties that the Prandtl number relates.
3. The patient made a ritual of arranging the food on his plate. Which word best describes the patient's behavior of arranging the food on his plate?
- A. Formal
- B. Ritualistic
- C. Formalizing
- D. Ritual
Correct answer: B
Rationale: The word 'ritualistic' is an adjective that describes actions or behaviors performed in a habitual or symbolic manner, often resembling a ritual. In this context, it best describes the patient's behavior of repeatedly and meticulously arranging food on the plate. 'Formal' (Choice A) does not capture the habitual or symbolic aspect of the behavior. 'Formalizing' (Choice C) is a verb form and does not describe the behavior itself. 'Ritual' (Choice D) is a noun and does not fit as well here since the question is asking for an adjective to describe the behavior.
4. Which type of chemical reaction involves an active metal reacting with an ionic compound to create a new compound?
- A. Combustion
- B. Single replacement
- C. Synthesis
- D. Decomposition
Correct answer: B
Rationale: The correct answer is 'Single replacement.' In a single replacement reaction, an active metal replaces another element in an ionic compound, resulting in the formation of a new compound. Option A, 'Combustion,' involves a substance rapidly reacting with oxygen to release energy in the form of heat and light. Option C, 'Synthesis,' involves the combination of two or more substances to form a more complex product. Option D, 'Decomposition,' involves the breakdown of a compound into simpler substances.
5. What process involves the movement of water molecules through a selectively permeable membrane?
- A. Diffusion
- B. Osmosis
- C. Active Transport
- D. Facilitated Diffusion
Correct answer: B
Rationale: Osmosis is the process specifically involving the movement of water molecules through a selectively permeable membrane, from an area of higher water concentration to an area of lower water concentration. This process helps balance concentrations on both sides of the membrane. Choice A, Diffusion, refers to the movement of particles from an area of higher concentration to an area of lower concentration, not specific to water. Choice C, Active Transport, requires energy to move substances against their concentration gradient, unlike osmosis. Choice D, Facilitated Diffusion, involves the use of transport proteins to move specific substances across membranes, not limited to water molecules.
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