HESI A2
HESI A2 Math Practice Exam
1. A farmer wants to plant trees at the outside boundaries of his rectangular field with dimensions 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How much free area will be left?
- A. 478,800 m²
- B. 492,800 m²
- C. 507,625 m²
- D. 518,256 m²
Correct answer: A
Rationale: To calculate the area taken by the trees, we need to account for the space each tree requires. Each tree needs 5 meters of free space all around it, totaling 10 meters added to each dimension. Therefore, the new dimensions of the field are (650-10) meters by (780-10) meters. Calculating the area of the new field: (640m × 770m = 492,800m²). To find the free area remaining, subtract the new field's area from the original field's area: 507,000m² - 492,800m² = 14,200m². Therefore, the free area left after planting the trees is 14,200m². Choice A is the correct answer as it represents the free area left after planting the trees.
2. What is the purpose of a switch in a circuit?
- A. To reverse the direction of alternating current
- B. To increase the voltage of the battery or cell
- C. To increase the resistance of wires in the circuit
- D. To allow the circuit to open and close
Correct answer: D
Rationale: The purpose of a switch in a circuit is to allow the circuit to open and close. When the switch is turned on, it provides a complete path for the current to flow through the circuit. When the switch is turned off, it breaks the circuit, stopping the flow of current. This function of opening and closing the circuit using a switch is essential for controlling the flow of electricity in various electrical devices and systems. Choices A, B, and C are incorrect because a switch does not reverse the direction of current, increase voltage, or increase resistance in a circuit; its primary function is to open and close the circuit.
3. Which of the following is not listed as a detail in the passage about Concussions?
- A. Football and lacrosse players suffer the most concussions.
- B. More than a million Americans a year suffer concussions.
- C. Concussions may result in diminished alertness.
- D. It may take longer to recover from a second concussion.
Correct answer: A
Rationale: Skim the passage to identify the detail that does not appear. The sports in choice A are never mentioned, so you do not even need to look at the other choices.
4. What is the function of water in photosynthesis?
- A. Combine with carbon dioxide
- B. Absorb light energy
- C. Supply electrons in the light reactions
- D. Transport hydrogen ions in the dark reactions
Correct answer: C
Rationale: The correct answer is C: 'Supply electrons in the light reactions.' In photosynthesis, water is split during the light reactions of photosynthesis, releasing electrons that are used in the formation of ATP and NADPH, crucial for the synthesis of glucose. Choice A is incorrect because water does not combine with carbon dioxide in photosynthesis. Choice B is incorrect as water does not absorb light energy directly. Choice D is incorrect because the transportation of hydrogen ions mainly occurs in the electron transport chain, which is part of the light reactions, not the dark reactions.
5. Choose the meaning of the word 'riddled' in the following sentence: 'The cavity, once opened, proved to be riddled with infection.'
- A. Challenged
- B. Overrun
- C. Separated
- D. Complete
Correct answer: B
Rationale: The word 'riddled' in this context means filled with or affected by (something undesirable) to a great degree, which aligns with the definition of 'overrun.' In this sentence, the cavity is described as being full of infection, indicating that the infection has spread extensively throughout. 'Challenged' (choice A) implies being tested or provoked, which is not the meaning conveyed by 'riddled.' 'Separated' (choice C) means divided or isolated, which does not fit the context of the sentence. 'Complete' (choice D) means finished or whole, which is the opposite of what is described in the sentence where the cavity is full of infection.
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