Quiz for Highschool. Topic "Math puzzles and problem-solving".

1. What is the next number in the sequence: 1, 4, 9, 16, ...?

2. A clock strikes once at 1 o'clock, twice at 2 o'clock, three times at 3 o'clock, and so on. How many times will it strike in 24 hours?

3. If a rope takes 6 hours to burn completely, how many ropes of the same length would you need to measure exactly 1 hour?

4. If 6 cats can catch 6 mice in 6 minutes, how many cats are needed to catch 100 mice in 100 minutes?

5. What is the missing number in the sequence: 2, 3, 5, 8, 12, ...?

6. If a quarter and a nickel together equal 30 cents, and the quarter is not one of the coins, what are the coins?

7. You have 12 coins, one of which is counterfeit and weighs differently. Using a balance scale only 3 times, how can you determine which coin is fake and whether it's lighter or heavier?

8. If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

9. What is the next number in the sequence: 2, 12, 30, 52, ...?

10. If you flip a coin three times, what is the probability of getting exactly two heads?

11. A car travels a distance of 60 miles at an average speed of 30 miles per hour. How fast must the car travel the same distance back to achieve an average speed of 40 miles per hour?

12. What is the sum of all the numbers from 1 to 100?

13. How many squares are there on a chessboard?

14. What is the angle between the hour hand and the minute hand at 3:15?

15. If a brick weighs 1KG plus half a brick, how much does a brick weigh?

16. If a rope ladder hangs over the side of a ship and has 10 steps, each 1 foot apart, and the lowest step touches the water, how many steps will be under water when the tide rises by 6 feet?

17. What is the missing number in the sequence: 1, 3, 6, 10, 15, ...?

18. If a bookshelf has 5 shelves and each shelf can hold 8 books, how many books can the bookshelf hold in total?

19. If Varun can paint a house in 6 days, and Abhishek can paint the same house in 8 days, how long would it take for them to paint the house together?

20. If a basketball team has won 40% of its games and lost 60% of its games, and they've played a total of 25 games, how many games have they won?

***** Write your answers in the comments*****