what is the probability of getting an even number on a six sided dice
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HESI A2

Math HESI A2 Practice Test

1. What is the probability of rolling an even number on a six-sided die?

Correct answer: A

Rationale: The correct answer is A, 50%. A standard six-sided die has three even numbers (2, 4, 6) out of six possible outcomes. The probability of rolling an even number is therefore 3 out of 6, which simplifies to 50%. Choices B, C, and D are incorrect because they do not accurately reflect the probability of rolling an even number on a six-sided die.

2. The height of a building is 150 feet. If each floor of the building is 12 feet high, how many floors are in the building?

Correct answer: A

Rationale: To determine the number of floors in the building, divide the total height of the building (150 feet) by the height of each floor (12 feet). 150 feet ÷ 12 feet per floor = 12.5 floors. Since floors cannot be in fractions, the answer is rounded down to the nearest whole number, which is 13 floors. Therefore, the correct answer is A: 13 floors. Choice B (15 floors) is incorrect because the calculation results in 12.5 floors, which should be rounded down. Choices C (10 floors) and D (18 floors) are incorrect as they do not accurately reflect the division result and rounding down process.

3. How many pints are in 56 ounces?

Correct answer: A

Rationale: To convert ounces to pints, you need to know that 1 pint is equivalent to 16 ounces. Therefore, to find how many pints are in 56 ounces, you divide 56 by 16, which equals 3.5 pints. Hence, the correct answer is 3.5 pints. Choice B, 4 pints, is incorrect because it doesn't account for the conversion factor of 16 ounces per pint. Choice C, 3 pints, is incorrect as it is less than the actual conversion result. Choice D, 4.5 pints, is incorrect as it overestimates the number of pints in 56 ounces.

4. Find x. 120:x = 40:0.5.

Correct answer: C

Rationale: To find x, set up the proportion and solve for x: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40x. This simplifies to 60 = 40x. Divide by 40 to isolate x, giving x = 60/40 = 1. Therefore, the correct answer is C, which is 1. Choice A (60) is incorrect because it does not match the correct calculation. Choice B (0) is incorrect as the calculation results in x = 1, not 0. Choice D (25) is incorrect as it does not match the correct calculation of x = 1.

5. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?

Correct answer: B

Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.

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