HESI A2
HESI A2 Math 2024
1. Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents each, and the plates were 75 cents each. If Stu paid with a $10 bill, how much change was he owed?
- A. $4
- B. $4.50
- C. $5
- D. $5.50
Correct answer: C
Rationale: Stu purchased 6 cups at 25 cents each, totaling $1.50 (6 cups x $0.25 = $1.50). He also bought 6 plates at 75 cents each, totaling $4.50 (6 plates x $0.75 = $4.50). Therefore, the total cost of the cups and plates is $1.50 + $4.50 = $6. Stu paid with a $10 bill, so the change he was owed is $10 - $6 = $4. Stu was owed $4 in change. The correct answer is $5, not $4 as he was owed that amount. Option A, $4, is incorrect as it miscalculates the change amount. Option B, $4.50, is incorrect as it does not consider the correct total cost. Option D, $5.50, is incorrect as it overestimates the change Stu was owed.
2. What is 70% of 65?
- A. 40.5
- B. 45.5
- C. 50
- D. 55
Correct answer: B
Rationale: To find 70% of 65, you multiply 0.7 by 65. Mathematically, 0.7 * 65 = 45.5. Therefore, the correct answer is 45.5. Choice A (40.5) is incorrect because it is not the result of multiplying 0.7 by 65. Choice C (50) is incorrect as it is higher than the correct answer. Choice D (55) is also higher than the correct result and is therefore incorrect.
3. Here are the solubilities of four substances at 0°C, in grams of solute per 100 mL of water. If the temperature increases to 20°C, what would you expect to happen to the solubility figures?
- A. Citric acid and potassium phosphate will decrease; nitrogen and oxygen will increase.
- B. Citric acid and potassium phosphate will increase; nitrogen and oxygen will decrease.
- C. All four figures will increase.
- D. All four figures will decrease.
Correct answer: C
Rationale: Solubility generally tends to increase with temperature for most solid solutes in liquid solvents due to higher kinetic energy leading to better solute-solvent interactions. As the temperature increases from 0°C to 20°C, all four solubility figures are expected to increase. Choice A is incorrect because solubility tends to increase with temperature. Choice B is incorrect as well for the same reason. Choice D is incorrect because the solubility of solid solutes typically increases with temperature.
4. Which sentence uses 'fast' as an adverb?
- A. The cars on the overpass moved fast.
- B. The clock on the wall is 10 minutes fast.
- C. The batter could not hit the fast pitch.
- D. The fast cars drove over the bridge.
Correct answer: A
Rationale: In sentence A, 'fast' is used as an adverb to modify the verb 'moved,' describing how the cars moved quickly. Choices B, C, and D use 'fast' as an adjective, describing the clock, pitch, and cars respectively. Adverbs modify verbs, adjectives, or other adverbs, while adjectives modify nouns or pronouns.
5. How many chromosomes do sperm and egg produce in meiosis?
- A. 23
- B. 46
- C. 25
- D. 50
Correct answer: A
Rationale: During meiosis, sperm and egg cells produce half the number of chromosomes found in somatic cells. Each contributes 23 chromosomes, which combine to form a zygote with a total of 46 chromosomes. Choice B (46) is incorrect because this is the number of chromosomes produced in mitosis, not meiosis. Choices C (25) and D (50) are also incorrect as they do not align with the chromosome count in sex cells during meiosis.
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