a dice is rolled what is the probability of getting a 5
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HESI A2

Math HESI A2 Practice Test

1. A die is rolled. What is the probability of getting a 5?

Correct answer: C

Rationale: The correct answer is C (16.60%). When rolling a standard 6-sided die, the probability of getting a 5 is 1/6 or approximately 16.6%. Choice A (50%) is incorrect as it represents the probability of getting a specific number on a coin flip, not a die roll. Choice B (20%) is incorrect as it does not reflect the probability of rolling a 5 on a standard die. Choice D (83.30%) is incorrect as it is the complement of the probability of rolling a 5, which is not asked in the question.

2. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?

Correct answer: A

Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.

3. How many ounces are in 3 quarts?

Correct answer: D

Rationale: There are 32 ounces in a quart. Therefore, 3 quarts would be equal to 3 quarts x 32 ounces = 96 ounces. The correct answer is D. Choice A, 64 ounces, is incorrect as it miscalculates the conversion from quarts to ounces. Choice B, 32 ounces, is the conversion for 1 quart, not 3 quarts. Choice C, 48 ounces, is also an incorrect calculation, not considering the correct conversion rate.

4. What is the freezing point of water in degrees Celsius?

Correct answer: A

Rationale: The correct answer is 0°C. The freezing point of water is 0°C under standard conditions. Water freezes at 0°C and boils at 100°C. Choices B, C, and D are incorrect because they do not represent the freezing point of water. 100°C is the boiling point of water, 50°C and 25°C are not related to the freezing point of water.

5. Convert the fraction 7/8 into a decimal and percent.

Correct answer: A

Rationale: To convert the fraction 7/8 into a decimal, you divide 7 by 8, which equals 0.875. To express this decimal as a percentage, you multiply it by 100 to get 87.5%. Choices B, C, and D are incorrect because they do not represent the correct conversion of the fraction 7/8 into a decimal and a percent.

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