HESI A2
HESI A2 Math Practice
1. What is the probability of rolling an odd number on a six-sided die?
- A. 50%
- B. 66.70%
- C. 33.30%
- D. 25%
Correct answer: A
Rationale: A six-sided die has three odd numbers (1, 3, 5) out of six possible outcomes. To calculate the probability, divide the number of favorable outcomes (odd numbers) by the total number of outcomes: 3/6 = 0.5 or 50%. Therefore, the probability of rolling an odd number on a six-sided die is 50%. Choice A is correct. Choice B (66.70%) is incorrect as it does not represent the correct probability of rolling an odd number on a six-sided die. Choice C (33.30%) is incorrect as it represents the probability of rolling an even number. Choice D (25%) is incorrect as it does not reflect the correct probability of rolling an odd number on a six-sided die.
2. What does the author of the passage on the Electoral College seem to suggest?
- A. The Electoral College should be abolished.
- B. The Electoral College works as intended.
- C. The Electoral College needs reform.
- D. The Electoral College confuses voters.
Correct answer: B
Rationale: The correct answer is B. The author of the passage suggests that the Electoral College works as intended. Despite acknowledging its confusing nature and the possibility of results differing from the popular vote, the author highlights that the founding fathers had a purpose behind its design. Therefore, the Electoral College is viewed as functioning as intended. Choice A is incorrect because the author does not advocate for abolishing the Electoral College. Choice C is incorrect as there is no explicit mention of the need for reform. Choice D is incorrect as the author does not focus on the confusion caused to voters but rather on the system's original purpose.
3. In terms of electrical conductivity, semiconductors fall between
- A. Conductors and insulators
- B. Conductors and superconductors
- C. Insulators and dielectrics
- D. Superconductors and insulators
Correct answer: A
Rationale: Semiconductors have electrical conductivities that lie between those of conductors (high conductivity) and insulators (low conductivity). This positioning makes choice A, 'Conductors and insulators,' the correct answer. Choice B, 'Conductors and superconductors,' is incorrect because superconductors have perfect conductivity, not intermediate like semiconductors. Choice C, 'Insulators and dielectrics,' is incorrect because dielectrics are a type of insulator, so it doesn't show the progression from high to low conductivity. Choice D, 'Superconductors and insulators,' is incorrect because superconductors have the highest conductivity, opposite to the role of semiconductors.
4. 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.
5. Which word describes a screen or filter?
- A. Permeable
- B. Incendiary
- C. Exuding
- D. Resilient
Correct answer: A
Rationale: The word 'permeable' refers to a material or surface that allows liquids, gases, or substances to pass through it, while screening or filtering out impurities. This makes it an appropriate descriptor for a screen or filter, which function by allowing certain elements to pass through while retaining others. Choices B, C, and D are incorrect: 'Incendiary' means causing fires, 'Exuding' means giving off or releasing, and 'Resilient' means able to withstand or recover from difficult conditions.
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