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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 977 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 36, 37, 46, 41 and 85? (a) 50 (b) 49 (c) 51 (d) 48
  2. 2.What is the average of 35, 48, 27, 28, 42 and 30? (a) 34 (b) 36 (c) 42 (d) 35
  3. 3.What is the average of 52, 49, 67 and 88? (a) 65 (b) 63 (c) 66 (d) 64
  4. 4.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 88 (b) 42 (c) 14 (d) 15
  5. 5.What is the average of all the whole numbers from 43 to 81? (a) 38 (b) 62 (c) 63 (d) 19
  6. 6.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 53 (c) 20 (d) 37
  7. 7.What is the average of 52, 48, 55, 51, 70 and 66? (a) 58 (b) 57 (c) 59 (d) 56
  8. 8.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 40 (b) 58 (c) 77 (d) 21
  9. 9.What is the average of 44, 24, 42, 30, 40 and 18? (a) 32 (b) 35 (c) 34 (d) 33
  10. 10.What is the average of 49, 75, 64, 68, 57 and 53? (a) 62 (b) 60 (c) 61 (d) 63
  11. 11.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 28 (c) 19 (d) 43
  12. 12.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 32 (b) 38 (c) 8 (d) 62
  13. 13.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 33 (b) 32 (c) 77 (d) 38
  14. 14.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 51 (c) 84 (d) 10
  15. 15.What is the average of 37, 21, 35, 41 and 6? (a) 35 (b) 27 (c) 29 (d) 28
  16. 16.What is the average of all the whole numbers from 22 to 36? (a) 29 (b) 30 (c) 14 (d) 7
  17. 17.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 61 (c) 46 (d) 21
  18. 18.What is the average of 44, 38, 65 and 57? (a) 51 (b) 68 (c) 50 (d) 52
  19. 19.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 97 (b) 61 (c) 67 (d) 42
  20. 20.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 50 (c) 44 (d) 45
  21. 21.What is the average of 35, 57, 51 and 53? (a) 49 (b) 48 (c) 51 (d) 50
  22. 22.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 15 (b) 93 (c) 14 (d) 44
  23. 23.What is the average of 36, 17, 40, 14, 14 and 41? (a) 27 (b) 28 (c) 26 (d) 29
  24. 24.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 6 (c) 7 (d) 47
  25. 25.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 28 (b) 33 (c) 57 (d) 37
  26. 26.What is the average of all the whole numbers from 26 to 38? (a) 33 (b) 32 (c) 6 (d) 12
  27. 27.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 40 (c) 15 (d) 28
  28. 28.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 32 (b) 23 (c) 24 (d) 67
  29. 29.What is the average of all the whole numbers from 34 to 54? (a) 20 (b) 10 (c) 44 (d) 45
  30. 30.What is the average of all the whole numbers from 49 to 61? (a) 12 (b) 55 (c) 6 (d) 56
  31. 31.What is the average of all the whole numbers from 20 to 50? (a) 35 (b) 30 (c) 15 (d) 36
  32. 32.What is the average of 70, 66, 81 and 87? (a) 77 (b) 76 (c) 75 (d) 78
  33. 33.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 51 (b) 39 (c) 37 (d) 16
  34. 34.What is the average of 46, 36, 29 and 41? (a) 40 (b) 39 (c) 38 (d) 37
  35. 35.What is the average of all the whole numbers from 20 to 54? (a) 37 (b) 34 (c) 17 (d) 38
  36. 36.What is the average of 30, 36, 36 and 18? (a) 29 (b) 31 (c) 30 (d) 40
  37. 37.What is the average of 29, 34, 26 and 35? (a) 32 (b) 33 (c) 31 (d) 30
  38. 38.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 24 (c) 23 (d) 12
  39. 39.What is the average of all the whole numbers from 5 to 25? (a) 15 (b) 10 (c) 20 (d) 16
  40. 40.What is the average of 46, 44, 46, 59, 66 and 75? (a) 55 (b) 58 (c) 57 (d) 56

Answer key

  1. 49
  2. 35
  3. 64
  4. 14
  5. 62
  6. 53
  7. 57
  8. 58
  9. 33
  10. 61
  11. 43
  12. 38
  13. 32
  14. 51
  15. 28
  16. 29
  17. 61
  18. 51
  19. 97
  20. 44
  21. 49
  22. 14
  23. 27
  24. 6
  25. 57
  26. 32
  27. 40
  28. 23
  29. 44
  30. 55
  31. 35
  32. 76
  33. 51
  34. 38
  35. 37
  36. 30
  37. 31
  38. 23
  39. 15
  40. 56

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