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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 974 · 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.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 61 (b) 40 (c) 37 (d) 29
  2. 2.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 4 (b) 45 (c) 23 (d) 26
  3. 3.What is the average of 46, 42, 39, 42, 49 and 88? (a) 51 (b) 52 (c) 50 (d) 53
  4. 4.What is the average of all the whole numbers from 45 to 51? (a) 3 (b) 49 (c) 6 (d) 48
  5. 5.What is the average of 89, 73, 90, 72 and 61? (a) 76 (b) 77 (c) 78 (d) 79
  6. 6.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 29 (b) 44 (c) 8 (d) 23
  7. 7.What is the average of all the whole numbers from 59 to 93? (a) 17 (b) 34 (c) 77 (d) 76
  8. 8.What is the average of all the whole numbers from 29 to 69? (a) 20 (b) 40 (c) 49 (d) 50
  9. 9.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 86 (b) 40 (c) 56 (d) 51
  10. 10.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 42 (b) 57 (c) 81 (d) 18
  11. 11.What is the average of all the whole numbers from 16 to 46? (a) 15 (b) 32 (c) 31 (d) 30
  12. 12.What is the average of 15, 20, 39, 21, 40 and 45? (a) 29 (b) 31 (c) 30 (d) 36
  13. 13.What is the average of 53, 46, 45, 52 and 99? (a) 58 (b) 61 (c) 60 (d) 59
  14. 14.What is the average of 29, 41, 50 and 52? (a) 43 (b) 45 (c) 42 (d) 44
  15. 15.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 75 (b) 51 (c) 55 (d) 28
  16. 16.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 27 (c) 34 (d) 28
  17. 17.What is the average of all the whole numbers from 53 to 87? (a) 70 (b) 71 (c) 34 (d) 17
  18. 18.What is the average of all the whole numbers from 37 to 43? (a) 6 (b) 41 (c) 3 (d) 40
  19. 19.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 24 (c) 14 (d) 12
  20. 20.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 79 (b) 62 (c) 41 (d) 24
  21. 21.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 94 (b) 58 (c) 62 (d) 40
  22. 22.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 25 (b) 36 (c) 24 (d) 74
  23. 23.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 8 (b) 38 (c) 74 (d) 44
  24. 24.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 61 (b) 9 (c) 8 (d) 29
  25. 25.What is the average of 76, 67, 82, 59 and 66? (a) 70 (b) 71 (c) 69 (d) 72
  26. 26.What is the average of 33, 30, 48, 49 and 40? (a) 39 (b) 41 (c) 40 (d) 50
  27. 27.What is the average of 59, 56, 59 and 18? (a) 64 (b) 48 (c) 49 (d) 47
  28. 28.What is the average of 33, 34, 18, 35, 18 and 24? (a) 29 (b) 27 (c) 26 (d) 28
  29. 29.What is the average of 31, 53, 45, 27 and 34? (a) 40 (b) 37 (c) 38 (d) 39
  30. 30.What is the average of all the whole numbers from 31 to 49? (a) 41 (b) 18 (c) 40 (d) 9
  31. 31.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 36 (b) 56 (c) 24 (d) 68
  32. 32.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 40 (c) 55 (d) 90
  33. 33.What is the average of all the whole numbers from 59 to 69? (a) 64 (b) 10 (c) 5 (d) 65
  34. 34.What is the average of 68, 61, 61, 84, 88 and 76? (a) 74 (b) 72 (c) 73 (d) 75
  35. 35.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 56 (b) 44 (c) 86 (d) 14
  36. 36.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 21 (b) 81 (c) 63 (d) 66
  37. 37.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 45 (c) 15 (d) 36
  38. 38.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 50 (c) 95 (d) 75
  39. 39.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 40 (c) 97 (d) 67
  40. 40.What is the average of all the whole numbers from 7 to 27? (a) 18 (b) 17 (c) 20 (d) 10

Answer key

  1. 61
  2. 26
  3. 51
  4. 48
  5. 77
  6. 29
  7. 76
  8. 49
  9. 86
  10. 57
  11. 31
  12. 30
  13. 59
  14. 43
  15. 75
  16. 27
  17. 70
  18. 40
  19. 24
  20. 62
  21. 94
  22. 24
  23. 44
  24. 8
  25. 70
  26. 40
  27. 48
  28. 27
  29. 38
  30. 40
  31. 56
  32. 90
  33. 64
  34. 73
  35. 56
  36. 81
  37. 45
  38. 75
  39. 97
  40. 17

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