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Which of the following percentages is equal to 0.45?
- A. 4.5%
- B. 0.045%
- C. 0.45%
- D. 45%
Correct Answer: D
Rationale: To convert 0.45 to a percentage, you multiply by 100: 0.45 100 = 45%. Therefore, the correct answer is D. 45%.
Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.
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How many cakes do you need for a class of 70 students and 3 staff members if each cake provides 24 servings?
- A. 4
- B. 2
- C. 5
- D. 3
Correct Answer: A
Rationale: To determine the number of cakes needed, calculate the total number of people, which is 70 students + 3 staff = 73 people. Since each cake serves 24 people, divide the total number of people by 24 to get approximately 3.04. You cannot have a fraction of a cake, so round up to the next whole number, which is 4. Therefore, you need 4 cakes to serve the class of 70 students and 3 staff members.
Choice B (2) is incorrect because 2 cakes would not be enough to serve 73 people. Choice C (5) is incorrect as it would be an excess of cakes. Choice D (3) is incorrect because 3 cakes would not be sufficient to serve 73 people.
Multiply 4/9 x 1 & 4/5 x 2/5.
- A. 15
- B. 7/16
- C. 8/25
- D. 19
Correct Answer: C
Rationale: To multiply fractions, you multiply the numerators together and the denominators together. Calculating 4/9 x 1 & 4/5 x 2/5 gives you (4 x 1) / (9 x 1) & (4 x 2) / (5 x 5) = 4/9 & 8/25. Therefore, the correct answer is 8/25. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions provided.
Change the following percentage to a decimal: 0.03%
- A. 0.03
- B. 0.0003
- C. 0.3
- D. 0.003
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. Therefore, 0.03% · 100 = 0.0003. The correct answer is B. Choice A (0.03) is incorrect because it does not account for the conversion of percentage to decimal. Choice C (0.3) is incorrect as it represents 0.03 as 30% rather than 0.03%. Choice D (0.003) is also incorrect as it does not accurately convert 0.03% to a decimal.
A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
- A. The average temperature is 5 degrees Celsius.
- B. All temperatures are within 5 degrees of each other.
- C. The difference between the highest and lowest temperatures is 5 degrees.
- D. There are exactly 5 temperatures in the set.
Correct Answer: C
Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
Bill has 2.5 vacation days left for the rest of the year and 1.25 sick days left. If Bill uses all of his sick days and his vacation days, how many days will he have off work?
- A. 1 day
- B. 3 days
- C. 2 days
- D. 4 days
Correct Answer: D
Rationale: To find the total number of days Bill will have off, add his vacation days and sick days together. Bill has 2.5 vacation days and 1.25 sick days:
2.5 + 1.25 = 3.75 days
When rounding to the nearest whole number, 3.75 rounds up to 4. Therefore, Bill will have 4 days off work.