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Team Round

Team Round. Team Round. This round will last for approximately 60 minutes – there is no break! There are 18 questions of varying difficulty. Each question has a time limit in which to complete it. For each question that is answered correctly you get the:

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Team Round

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  1. Team Round

  2. Team Round This round will last for approximately 60 minutes – there is no break! There are 18 questions of varying difficulty. Each question has a time limit in which to complete it.

  3. For each question that is answered correctly you get the: • time allowed in minutes × 2 marks. • Only answers are required – it is not necessary to show any working out.

  4. Once the time limit is up you must hand in the correct piece of white paper with the answer filled in where indicated. You have 18 answer sheets – one for each question. Each answer sheet also gives the question number and your team name and team number..

  5. Each team also has 6 sheets of joker paper - each is an opportunity to gain bonus marks. If you have answered a question correctly within the joker time allowed you can write your answer on the pink paper and then hold this paper up to be collected. If you have answered the question correctly you will gain 5 bonus marks plus the marks for the question. But remember – you only have six of these attempts for bonus marks.

  6. Are there any questions?

  7. You have 1 minute for question 1. Joker time: 30 secs

  8. Question 1 Two numbers differ by 8 and have a sum 88. What is the ratio of the larger number to the smaller in its simplest form? Team Round No more joker 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 31 42 41 40 39 38 37 36 35 34 33 00 45 44 32 28 15 26 25 24 23 22 21 20 19 18 17 16 29 27 14 12 11 10 09 08 07 06 05 04 03 02 01 13 30 00 Time: 60 secs Joker: 30 secs

  9. Please hand in your answer. You have 1 minute for question 2. Joker time: 30 secs

  10. Question 2 What is the area of the triangle shown here? Team Round y 3y 30 No more joker 48 49 50 51 52 53 56 55 47 57 58 59 54 46 42 43 31 41 40 39 38 37 36 35 34 00 32 45 44 33 01 28 30 27 26 25 24 23 22 21 20 19 18 17 16 29 15 13 12 11 10 09 08 07 06 05 04 03 02 14 00 Time: 60 secs Joker: 30 secs

  11. Please hand in your answer. You have 2 minutes for question 3. Joker time: 50 secs

  12. Question 3 Three positive integers a, b and c, where a < b < c, are such that their median is 11, their mean is 9 and their range is 10. Find the value of a. Team Round No more joker 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 31 42 41 40 39 38 37 36 35 34 33 00 45 44 32 28 15 26 25 24 23 22 21 20 19 18 17 16 29 27 14 12 11 10 09 08 07 06 05 04 03 02 01 13 30 01 Time: 2 mins Joker: 50 secs

  13. Question 3 Three positive integers a, b and c, where a < b < c, are such that their median is 11, their mean is 9 and their range is 10. Find the value of a. Team Round No more joker 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 31 42 41 40 39 38 37 36 35 34 33 00 45 44 32 28 15 26 25 24 23 22 21 20 19 18 17 16 29 27 14 12 11 10 09 08 07 06 05 04 03 02 01 13 30 00 Time: 2 mins Joker: 50 secs

  14. Please hand in your answer. You have 1 minute for question 4. Joker time: 30 secs

  15. Question 4 A straight line AE divides the rectangle ABCD into two parts whose areas are in the ratio 1 : 7. Find the ratio of the lengths AE : ED A Team Round B E C D No more joker 48 49 50 51 52 53 57 55 56 47 58 59 54 46 41 43 42 31 40 39 38 37 36 35 00 33 32 45 44 34 02 28 30 27 26 25 24 23 22 21 20 19 18 17 16 29 15 13 12 11 10 09 08 07 06 05 04 03 01 14 00 Time: 60 secs Joker: 30 secs

  16. Please hand in your answer. You have 2 minutes for question 5. Joker time: 1 min

  17. Question 5 You are given six numbers 3, _, _, _, _, 80. Each number in the sequence is the sequence after the first two is formed by adding all the previous terms? What is the sum of the four missing numbers? Team Round 01 49 50 51 52 53 54 55 56 57 58 59 47 48 45 44 43 42 41 40 39 38 37 36 35 34 46 00 33 32 31 30 18 19 20 21 22 23 24 25 26 27 28 29 17 16 14 13 12 11 10 09 08 07 06 05 04 03 02 15 01 Time: 2 mins Joker: 1 mins

  18. Question 5 You are given six numbers 3, _, _, _, _, 80. Each number in the sequence is the sequence after the first two is formed by adding all the previous terms? What is the sum of the four missing numbers? Team Round No more joker 46 47 48 49 50 51 53 45 54 55 56 57 52 30 42 58 41 40 39 38 37 36 35 34 33 32 31 29 43 44 27 13 24 23 22 21 20 19 18 17 16 15 14 28 25 12 10 09 08 07 06 05 04 03 02 01 00 26 11 59 00 Time: 2 mins Joker: 1 mins

  19. Please hand in your answer. You have 2 minutes for question 6. Joker time: 1 min

  20. Question 6 The area of the shaded triangle is 5 square units. What is the area of the un-shaded trapezium? Team Round 4 3 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 30 42 41 40 39 38 37 36 35 34 33 32 45 44 31 13 15 26 25 24 23 22 21 20 19 18 17 16 28 27 14 11 10 09 08 07 06 05 04 03 02 01 00 12 29 01 Time: 2 mins Joker: 1 min

  21. Question 6 The area of the shaded triangle is 5 square units. What is the area of the un-shaded trapezium? Team Round 4 3 No more joker 28 46 47 48 49 50 53 52 45 54 55 56 51 43 33 32 57 34 44 36 35 38 39 40 41 42 37 29 31 30 12 59 58 26 25 24 23 22 21 20 19 18 17 16 15 27 14 11 10 09 08 07 06 05 04 03 02 01 00 13 00 Time: 2 mins Joker: 1 min

  22. Please hand in your answer. You have 2 minutes for question 7. Joker time: 1 min

  23. Question 7 I need to buy 12 DVD’s for my film collection. They normally cost 450 Baht each, but a number of shops have “special offers”. Which of these is the best deal? A: Pay only three quarters of the normal price! B: Buy two – get one free! C: Two for the price of four! D: One fifth off all prices! E: 30% price cut Team Round 01 49 50 51 52 53 54 55 56 57 58 59 47 48 45 44 43 42 41 40 39 38 37 36 35 34 46 00 33 32 31 30 18 19 20 21 22 23 24 25 26 27 28 29 17 16 14 13 12 11 10 09 08 07 06 05 04 03 02 15 01 Time: 2 mins Joker: 1 mins

  24. Question 7 I need to buy 12 DVD’s for my film collection. They normally cost 450 Baht each, but a number of shops have “special offers”. Which of these is the best deal? A: Pay only three quarters of the normal price! B: Buy two – get one free! C: Two for the price of four! D: One fifth off all prices! E: 30% price cut Team Round No more joker 47 48 49 50 51 52 54 30 55 56 57 58 53 46 43 59 42 41 40 39 38 37 36 35 34 33 32 45 44 31 13 15 26 25 24 23 22 21 20 19 18 17 16 29 27 14 11 10 09 08 07 06 05 04 03 02 01 28 12 00 00 Time: 2 mins Joker: 1 mins

  25. Please hand in your answer. You have 3 minutes for question 8. Joker time: 2 mins

  26. Question 8 The diagram shows two concentric circles of radii r and 2r respectively. What is the ratio of the total shaded area to the total unshaded area? Team Round 01 49 50 51 52 53 54 55 56 57 58 59 47 48 45 44 43 42 41 40 39 38 37 36 35 34 46 00 33 32 31 30 18 19 20 21 22 23 24 25 26 27 28 29 17 16 14 13 12 11 10 09 08 07 06 05 04 03 02 15 02 Time: 3 mins Joker: 2 mins

  27. Question 8 The diagram shows two concentric circles of radii r and 2r respectively. What is the ratio of the total shaded area to the total unshaded area? Team Round 47 48 49 50 51 52 53 54 55 56 57 58 30 46 44 43 42 41 40 39 38 37 36 35 34 33 32 45 59 31 29 13 01 27 26 25 24 23 22 21 20 19 18 17 16 00 28 12 11 10 09 08 07 06 05 04 03 02 14 15 01 Time: 3 mins Joker: 2 mins

  28. Question 8 The diagram shows two concentric circles of radii r and 2r respectively. What is the ratio of the total shaded area to the total unshaded area? Team Round No more joker 47 48 49 50 51 52 54 30 55 56 57 58 53 46 43 59 42 41 40 39 38 37 36 35 34 33 32 45 44 31 13 15 26 25 24 23 22 21 20 19 18 17 16 29 27 14 11 10 09 08 07 06 05 04 03 02 01 28 12 00 00 Time: 3 mins Joker: 2 mins

  29. Please hand in your answer. You have 3 minutes for question 9. Joker time: 1 min 30 s

  30. Question 9 The first two scales shown are perfectly balanced. How many squares will be needed on the right of the third scales so that the scales balance? Team Round ? 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 31 42 41 40 39 38 37 36 35 34 33 00 45 44 32 28 15 26 25 24 23 22 21 20 19 18 17 16 29 27 14 12 11 10 09 08 07 06 05 04 03 02 01 13 30 02 Time: 3 mins Joker: 1 min 30 s

  31. Question 9 The first two scales shown are perfectly balanced. How many squares will be needed on the right of the third scales so that the scales balance? Team Round ? No more joker 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 30 42 41 40 39 38 37 36 35 34 33 32 45 44 31 13 15 26 25 24 23 22 21 20 19 18 17 16 28 27 14 11 10 09 08 07 06 05 04 03 02 01 00 12 29 01 Time: 3 mins Joker: 1 min 30 s

  32. Question 9 The first two scales shown are perfectly balanced. How many squares will be needed on the right of the third scales so that the scales balance? Team Round ? No more joker 48 49 50 51 52 53 55 47 56 57 58 59 54 46 43 30 42 41 40 39 38 37 36 35 34 33 32 45 44 31 13 15 26 25 24 23 22 21 20 19 18 17 16 28 27 14 11 10 09 08 07 06 05 04 03 02 01 00 12 29 00 Time: 3 mins Joker: 1 min 30 s

  33. Please hand in your answer. You have 2 minutes for question 10. Joker time: 1 min

  34. Question 10 In the right-angled triangle ABC, DB = 12 cm, DC = 15 cm and AD = BC. What is the area of triangle ACD? Team Round C B A D 32 49 50 51 52 53 56 55 47 57 58 59 54 48 43 44 33 42 41 40 39 38 37 36 35 01 46 00 45 34 02 15 18 19 20 21 22 23 26 25 17 27 28 29 24 31 16 14 30 12 11 10 09 08 07 06 05 04 03 13 01 Time: 2 mins Joker: 1 min

  35. Question 10 In the right-angled triangle ABC, DB = 12 cm, DC = 15 cm and AD = BC. What is the area of triangle ACD? Team Round C B A No more joker D 27 45 46 47 48 49 53 51 52 28 54 55 50 42 32 30 31 56 33 43 34 36 37 38 39 40 41 35 29 57 59 44 15 16 17 18 19 21 14 22 23 24 20 13 10 58 11 09 08 07 06 05 04 03 02 01 00 12 26 25 00 Time: 2 mins Joker: 1 min

  36. Please hand in your answer. You have 3 minutes for question 11. Joker time: 2 mins

  37. Question 11 Jill runs around a circular track taking 80 seconds for each lap. Jack runs in the opposite direction and meets Jill every 30 seconds. How long does Jack take for each lap? Team Round 01 49 50 51 52 53 54 55 56 57 58 59 47 48 45 44 43 42 41 40 39 38 37 36 35 34 46 00 33 32 31 30 18 19 20 21 22 23 24 25 26 27 28 29 17 16 14 13 12 11 10 09 08 07 06 05 04 03 02 15 02 Time: 3 mins Joker: 2 mins

  38. Question 11 Jill runs around a circular track taking 80 seconds for each lap. Jack runs in the opposite direction and meets Jill every 30 seconds. How long does jack take for each lap? Team Round 47 48 49 50 51 52 53 54 55 56 57 58 46 30 43 42 41 40 39 38 37 36 35 34 33 32 31 44 45 29 28 27 59 26 25 24 23 22 21 20 19 18 17 16 15 14 12 11 10 09 08 07 06 05 04 03 02 01 00 13 01 Time: 3 mins Joker: 2 mins

  39. Question 11 Jill runs around a circular track taking 80 seconds for each lap. Jack runs in the opposite direction and meets Jill every 30 seconds. How long does jack take for each lap? Team Round No more joker 46 47 48 49 50 51 53 45 54 55 56 57 52 30 42 58 41 40 39 38 37 36 35 34 33 32 31 29 43 44 27 13 24 23 22 21 20 19 18 17 16 15 14 28 25 12 10 09 08 07 06 05 04 03 02 01 00 26 11 59 00 Time: 3 mins Joker: 2 mins

  40. Please hand in your answer. You have 3 minutes for question 12. Joker time: 1 min 30s

  41. Question 12 ABCDEF is a regular hexagon of area 360. What is the area of the kite-shaped figure ABCE? Team Round A B C F D E 32 49 50 51 52 53 57 55 56 47 58 59 54 48 42 44 43 33 41 40 39 38 37 36 01 34 46 00 45 35 03 15 18 19 20 21 22 23 27 25 26 17 28 29 24 31 16 14 13 30 11 10 09 08 07 06 05 04 02 12 02 Time: 3 mins Joker: 1 min 30 s

  42. Question 12 ABCDEF is a regular hexagon of area 360. What is the area of the kite-shaped figure ABCE? Team Round A B C F No more joker D E 27 26 45 46 47 48 53 50 51 52 42 54 49 28 33 30 31 32 55 43 34 36 37 38 39 40 41 35 29 56 59 58 14 15 16 17 18 21 20 13 22 23 19 12 09 57 10 08 07 06 05 04 03 02 01 00 11 25 44 24 01 Time: 3 mins Joker: 1 min 30 s

  43. Question 12 ABCDEF is a regular hexagon of area 360. What is the area of the kite-shaped figure ABCE? Team Round A B C F No more joker D E 27 26 45 46 47 48 53 50 51 52 42 54 49 28 33 30 31 32 55 43 34 36 37 38 39 40 41 35 29 56 59 58 14 15 16 17 18 21 20 13 22 23 19 12 09 57 10 08 07 06 05 04 03 02 01 00 11 25 44 24 00 Time: 3 mins Joker: 1 min 30 s

  44. Please hand in your answer. You have 4 minutes for question 13. Joker time: 2 min

  45. Question 13 The curve y=x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y=ax2 + bx+ c? Team Round 01 49 50 51 52 53 54 55 56 57 58 59 47 48 45 44 43 42 41 40 39 38 37 36 35 34 46 00 33 32 31 30 18 19 20 21 22 23 24 25 26 27 28 29 17 16 14 13 12 11 10 09 08 07 06 05 04 03 02 15 03 Time: 4 mins Joker: 2 mins

  46. Question 13 The curve y=x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y=ax2 + bx+ c? Team Round 47 48 49 50 51 52 53 54 55 56 57 58 46 30 43 42 41 40 39 38 37 36 35 34 33 32 31 44 45 29 28 27 59 26 25 24 23 22 21 20 19 18 17 16 15 14 12 11 10 09 08 07 06 05 04 03 02 01 00 13 02 Time: 4 mins Joker: 2 mins

  47. Question 13 The curve y=x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y=ax2 + bx+ c? Team Round No more joker 46 47 48 49 50 51 53 45 54 55 56 57 52 30 42 58 41 40 39 38 37 36 35 34 33 32 31 29 43 44 27 13 24 23 22 21 20 19 18 17 16 15 14 28 25 12 10 09 08 07 06 05 04 03 02 01 00 26 11 59 01 Time: 4 mins Joker: 2 mins

  48. Question 13 The curve y=x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y=ax2 + bx+ c? Team Round No more joker 47 48 49 50 51 52 54 30 55 56 57 58 53 46 43 59 42 41 40 39 38 37 36 35 34 33 32 45 44 31 13 00 26 25 24 23 22 21 20 19 18 17 16 29 27 15 12 11 10 09 08 07 06 05 04 03 02 14 28 01 00 Time: 4 mins Joker: 2 mins

  49. Please hand in your answer. You have 4 minutes for question 14. Joker time: 2 mins

  50. Question 14 Pinkie and Perky are each given a 100g chocolate bar. They start eating their chocolate at the same time, but Pinkie eats hers three times as fast as Perky. When Perky has two times as much as has Pinkie, what faction of the chocolate bar has Pinkie eaten? Team Round 01 49 50 51 52 53 54 55 56 57 58 59 47 48 45 44 43 42 41 40 39 38 37 36 35 34 46 00 33 32 31 30 18 19 20 21 22 23 24 25 26 27 28 29 17 16 14 13 12 11 10 09 08 07 06 05 04 03 02 15 03 Time: 4 mins Joker: 2 mins

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