HESI A2
HESI A2 Quizlet Math
1. What is the product of multiplying 44.44 by 55.55?
- A. 2,468.64
- B. 2,500.00
- C. 2,450.45
- D. 2,470.00
Correct answer: A
Rationale: When multiplying decimal numbers like 44.44 and 55.55, align them properly and multiply each place accurately. To find the product of 44.44 and 55.55, you get 2,468.64. Therefore, the correct answer is choice A, 2,468.64. Choice B, 2,500.00, is incorrect as it is the result of rounding up. Choice C, 2,450.45, is incorrect as it is not the result of multiplying 44.44 by 55.55. Choice D, 2,470.00, is incorrect as it is not the correct product of 44.44 and 55.55.
2. 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.
3. If a dice is rolled, what is the probability of getting an even number?
- A. 16%
- B. 33%
- C. 66%
- D. 50%
Correct answer: D
Rationale: When rolling a standard six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an even number can be calculated as the number of favorable outcomes (3) divided by the total number of outcomes (6), which equals 3/6 = 50%. Therefore, the correct answer is D. Choice A (16%) is incorrect because it does not represent the probability of rolling an even number. Choice B (33%) is incorrect as it does not reflect the correct probability. Choice C (66%) is incorrect as well since it overestimates the probability.
4. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
- A. 625 cu cm
- B. 1250 cu cm
- C. 1875 cu cm
- D. 2500 cu cm
Correct answer: C
Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.
5. Tamison bought 20 stamps for 29¢ each and 40 stamps for 42¢ each. If she gave the postal worker $25, how much change did she receive?
- A. $2.40
- B. $2.80
- C. $3.20
- D. $3.60
Correct answer: A
Rationale: First, calculate the total cost of the 20 stamps bought at 29¢ each: 20 stamps * 29¢ = $5.80. Next, calculate the total cost of the 40 stamps bought at 42¢ each: 40 stamps * 42¢ = $16.80. The total cost of all stamps is $5.80 + $16.80 = $22.60. If Tamison gave $25 to the postal worker, her change is $25 - $22.60 = $2.40. Therefore, the correct answer is A. Option B, C, and D are incorrect as they do not reflect the correct change Tamison received after buying the stamps.
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