HESI A2
HESI A2 Quizlet Math
1. In a local baseball team, 4 players, which represent 5% of the team, have long hair, and the rest have short hair. How many short-haired players are there on the team?
- A. 72
- B. 74
- C. 76
- D. 78
Correct answer: C
Rationale: Given that 4 players represent 5% of the team, let's denote the total number of players as x. The equation to represent this situation is 0.05x = 4. Solving for x, we get x = 80, which is the total number of players on the team. Since 4 players have long hair, the remaining players have short hair, which is 80 - 4 = 76. Therefore, there are 76 short-haired players on the team. Choices A, B, and D are incorrect as they do not consider the total number of players correctly, leading to inaccurate calculations.
2. A kite has a top base of 20cm, a bottom base of 30cm, and two equal side lengths of 15cm. What is its perimeter?
- A. 55cm
- B. 65cm
- C. 70cm
- D. 80cm
Correct answer: C
Rationale: To find the perimeter of a kite, you need to add the lengths of all its sides. In this case, the perimeter is calculated as the sum of the top base, bottom base, and twice the side length. Therefore, perimeter = top base + bottom base + 2 * side length = 20cm + 30cm + 2 * 15cm = 70cm. Choice A, B, and D are incorrect as they do not consider all sides of the kite in the calculation.
3. What is the probability of rolling a 5 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/2
- D. 1/3
Correct answer: A
Rationale: The probability of rolling a specific number on a fair six-sided die is calculated by dividing the number of favorable outcomes (1 in this case, as there is one '5' on the die) by the total number of possible outcomes (6 for a six-sided die), resulting in a probability of 1/6. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the probability of rolling a 5 on a six-sided die. Option B (1/4) is incorrect because it represents the probability of rolling a specific number on a four-sided die. Option C (1/2) and Option D (1/3) are incorrect as they do not match the probability calculation for rolling a 5 on a six-sided die.
4. How many grams are in 4 kilograms?
- A. 4000 grams
- B. 3000 grams
- C. 4500 grams
- D. 3500 grams
Correct answer: A
Rationale: The correct answer is A: 4000 grams. To convert kilograms to grams, you need to multiply the number of kilograms by 1000 since there are 1000 grams in 1 kilogram. Therefore, 4 kilograms is equal to 4 x 1000 = 4000 grams. Choice B (3000 grams), C (4500 grams), and D (3500 grams) are incorrect as they do not correctly convert 4 kilograms into grams.
5. In the time required to serve 43 customers, a server breaks 2 glasses and slips 5 times. The next day, the same server breaks 10 glasses. How many customers did she serve?
- A. 25
- B. 43
- C. 86
- D. 215
Correct answer: C
Rationale: In the first scenario, for 43 customers served, the server broke 2 glasses and slipped 5 times. This means for each customer served, the server broke 2/43 glasses and slipped 5/43 times. The information about breaking 10 glasses the next day is irrelevant to the number of customers served. Therefore, to find out the total number of customers served, we calculate 43 customers * (2 glasses/customer + 5 slips/customer) = 86. Choice A, 25, is incorrect as it does not consider the total number of glasses broken or slips. Choice B, 43, is incorrect because it only considers the initial number of customers. Choice D, 215, is incorrect as it miscalculates the relationship between customers, glasses broken, and slips.
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