Quiz: Practice Questions on Ratios, Percentages, and Averages (set 1)

This quiz contains questions designed to test your understanding of the concepts of ratios, percentages, and averages. These questions are primarily intended for middle school students, but others are also welcome to take the quiz to assess their grasp of these fundamental mathematical concepts. Please refrain from using external resources to assist in solving the questions. If your answers are incorrect, you can retake the quiz to achieve a perfect score. If you notice any errors in the questions or answers, please leave a comment. Good luck and enjoy the quiz!

1. 
The ratio of the incomes of A and B is 4:5. If A's income increases by 20% and B's income decreases by 10%, what is the new ratio of their incomes?

2. 
The average of 6 numbers is 18. If one number is replaced by 24, the new average becomes 20. What was the original number that was replaced?

3. 
The average of 8 numbers is 25. If each number is multiplied by 2 and then decreased by 5, what is the new average?

4. 
A number is first increased by 10% and then decreased by 10%. If the final number is 99, what is the original number?

5. 
The ratio of the ages of A, B, and C is 2:3:4. If the sum of their ages is 90, what is the age of B?

6. 
The average of 5 numbers is 40. If one number is excluded, the average becomes 35. What is the excluded number?

7. 
A student scored 60% in the first exam and 80% in the second exam. If the second exam carries twice the weight of the first exam, what is the overall percentage?

8. 
If the price of a product is increased by 25%, and then decreased by 20%, what is the net percentage change in price?

9. 
The ratio of the speeds of two cars is 4:5. If the faster car covers 300 km in 5 hours, what is the speed of the slower car?

10. 
The ratio of income to expenditure of a person is 7:4. If the income increases by 20% and the expenditure increases by 10%, what is the new ratio of income to expenditure?

11. 
The ratio of boys to girls in a class is 3:5. If 10 more boys and 10 more girls join the class, the ratio becomes 5:7. What is the total number of students in the class initially?

12. 
The average weight of 8 people increases by 2 kg when one person weighing 60 kg is replaced by a new person. What is the weight of the new person?

13. 
The average of 5 consecutive odd numbers is 25. What is the largest number?

14. 
The average of 10 numbers is 35. If each number is increased by 5, and then each resulting number is divided by 2, what is the new average?

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