2. Welcome to the quiz. Here is your first question. If I had one more sister I would have twice as many sisters as brothers. If I had one more brother I would have the same number of each. How many brothers and sisters do I have in total? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35

3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 2. A bag contains 48 balls of 8 different colours. There are 6 of each colour (including red). What is the least number you would have to pick, without looking, to be sure of getting 3 red balls?

4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 3 In a game of snooker a player must pot a red ball each time before potting a coloured ball ( a ball other than red). The colours score as follows: Red 1 Yellow 2 Green 3 Brown 4 Blue 5 Pink 6 Black 7 If a player potted 2 blacks, 1 yellow, 1 blue and then 2 browns, followed by 1 red, what would the score be?

5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 5 52 mattresses were packed one on top of each other. The total height was 9.88m. What would be the new height ( to the nearest meter) if 9 were removed?

6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 5 A cat and his friends were called in to rid a town of rats. After a month they had killed 1271 rats. Every cat killed the same number of rats. How many cats were there?

7. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 6 A car trip meter showed 15951 miles, a palindromic number. What is the least number of miles must the car travel before it show another palindromic number? Now divide your answer by the first 2 digit palindromic number.

8. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 7 Multiply the 2 nd highest number by the 2 nd lowest number and the divide the result by the 3 rd lowest number. 10 35 2 32 37 33 9 13 36 12 14 34 3 11

9. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 8 The red ball moves one position at a time clockwise. The blue ball moves two positions at a time anti- clockwise. In how many moves will they be together again? C B AG F E D

10. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 9 In an hotel there are 20 rooms. The porter had mixed up the keys. What is the maximum number of trials required to sort out the keys? Divide your answer by 10.

11. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 1 kg 3 kg 10 kg Question 10 What is the only weight from 1kg to 14 kg that cannot be weighed using the weights below?

12. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 11 A crocodile had a tail that was 3 times as long as its head. Its body was half as long as its tail. Its body and tail measured 171 inches. How long was its head?

13. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 12 A woman won £30 on the horses. Her friend said “That’s lucky. Now you have 5 times as much money as you would have if you had lost £30”. How much money did the woman have before she won?

14. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 13 5 pool balls are placed in a row. Which ball is immediately to the left of the ball which is 2 places to the right of the ball, which is 1 less in value than the ball which is immediately to the left of the ball 2 to the right of the 1 ball? 35142

15. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 14 When the minute hand points to 9 minutes and the second hand points to 17 seconds, what is the acute angle between them?

16. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 15 A man had to spend exactly £100 on spring bulbs. When he got to the garden centre he found they cost the following: Crocus 5p Daffodils £1 Hyacinths £5. He must buy exactly 100 bulbs and have some of each. How many hyacinths did he buy?

17. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 16 A newsagent sells 2 magazines and 5 newspapers in the morning for a total of £12.55. In the afternoon he sells 5 magazines and 2 newspapers for a total of £22.45. Assuming the newspapers are all the same price as are the magazines. How much do 3 newspapers and 3 magazines cost in total?

18. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 Question 17 There are 6 trees all of different heights. The tallest is twice the height of the smallest. There is 1 foot difference in height between each tree. How tall is the tallest tree?

19. Unlucky! Better luck next time.

20. Congratulations!! You have completed the challenge. Well done.