a dice is rolled what is the probability of getting an even number
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HESI A2

HESI A2 Math Practice

1. If a dice is rolled, what is the probability of getting an even number?

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.

2. Square: A garden bed has a side length of 8 meters. What is its perimeter?

Correct answer: C

Rationale: The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal in length, the perimeter is calculated by multiplying the side length by 4. In this case, the side length of the square garden bed is 8 meters. Therefore, the perimeter is 8m x 4 = 32m. Choice A (16m) is incorrect as it represents only half of the perimeter. Choice B (24m) is incorrect because it is the perimeter of a square with a side length of 6 meters, not 8 meters. Choice D (64m) is incorrect as it represents the area of the square, not the perimeter.

3. If a person can type 45 words per minute, how many words can they type in 20 minutes?

Correct answer: C

Rationale: To find out how many words a person can type in 20 minutes at a speed of 45 words per minute, you multiply the typing speed (45 words/minute) by the duration (20 minutes): 45 words/minute x 20 minutes = 900 words. Hence, the correct answer is 900 words. Choice A (800 words) is incorrect because it results from multiplying 45 words per minute by 18 minutes, not 20. Choice B (850 words) is incorrect as it is not the product of 45 words per minute and 20 minutes. Choice D (750 words) is incorrect because it is the outcome of multiplying 45 words per minute by 15 minutes, not 20.

4. A patient's oxygen flow rate is set at 4 liters per minute. How many cubic centimeters of oxygen are delivered per minute?

Correct answer: B

Rationale: 1 liter is equal to 1,000 cubic centimeters. Therefore, when the oxygen flow rate is 4 liters per minute, the calculation is 4 x 1,000 = 4,000 cubic centimeters. Hence, at a flow rate of 4 liters per minute, 4,000 cubic centimeters of oxygen are delivered per minute. Choice A, 400 cubic centimeters, is incorrect because it miscalculates the conversion from liters to cubic centimeters. Choices C and D, 40,000 cubic centimeters and 400,000 cubic centimeters, respectively, are significantly higher than the correct answer due to incorrect conversions or additional errors in calculation.

5. Convert 5 3/4 to a decimal. Round to the nearest tenth.

Correct answer: C

Rationale: To convert 5 3/4 to a decimal, we add the whole number part to the fractional part: 5 + 3/4 = 5.75. Rounding 5.75 to the nearest tenth gives us 5.8. Therefore, the correct answer is C. Choice A (5.6) is incorrect because it does not accurately represent 5 3/4. Choice B (5.7) is incorrect as well because it does not reflect the correct conversion. Choice D (6) is incorrect as it does not account for the fractional part of 5 3/4.

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