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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 935 · 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.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 25 (b) 31 (c) 11 (d) 17
  2. 2.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 84 (c) 59 (d) 35
  3. 3.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 16 (c) 26 (d) 14
  4. 4.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 25 (b) 26 (c) 85 (d) 40
  5. 5.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 60 (c) 59 (d) 17
  6. 6.What is the average of all the whole numbers from 35 to 73? (a) 19 (b) 54 (c) 38 (d) 55
  7. 7.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 7 (b) 77 (c) 45 (d) 39
  8. 8.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 17 (b) 36 (c) 16 (d) 77
  9. 9.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 75 (b) 36 (c) 51 (d) 45
  10. 10.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 71 (b) 12 (c) 46 (d) 37
  11. 11.What is the average of all the whole numbers from 59 to 75? (a) 68 (b) 16 (c) 8 (d) 67
  12. 12.What is the average of 43, 37, 37 and 11? (a) 33 (b) 31 (c) 32 (d) 34
  13. 13.What is the average of all the whole numbers from 33 to 43? (a) 38 (b) 5 (c) 39 (d) 10
  14. 14.What is the average of all the whole numbers from 36 to 56? (a) 20 (b) 47 (c) 46 (d) 10
  15. 15.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 24 (b) 43 (c) 64 (d) 46
  16. 16.What is the average of 52, 61, 35, 55, 57 and 22? (a) 46 (b) 49 (c) 48 (d) 47
  17. 17.What is the average of 84, 70, 92, 70, 68 and 78? (a) 78 (b) 76 (c) 77 (d) 79
  18. 18.What is the average of 16, 35, 5 and 24? (a) 20 (b) 22 (c) 21 (d) 19
  19. 19.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 60 (c) 24 (d) 76
  20. 20.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 20 (c) 27 (d) 12
  21. 21.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 6 (b) 35 (c) 5 (d) 75
  22. 22.What is the average of 62, 68, 84, 79 and 92? (a) 79 (b) 76 (c) 77 (d) 78
  23. 23.What is the average of all the whole numbers from 23 to 57? (a) 17 (b) 34 (c) 40 (d) 41
  24. 24.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 42 (c) 41 (d) 47
  25. 25.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 52 (b) 72 (c) 108 (d) 44
  26. 26.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 82 (b) 34 (c) 28 (d) 60
  27. 27.What is the average of all the whole numbers from 55 to 95? (a) 75 (b) 20 (c) 76 (d) 40
  28. 28.What is the average of 27, 11, 27, 34 and 16? (a) 22 (b) 23 (c) 24 (d) 25
  29. 29.What is the average of all the whole numbers from 20 to 40? (a) 10 (b) 30 (c) 31 (d) 20
  30. 30.What is the average of all the whole numbers from 29 to 43? (a) 7 (b) 14 (c) 36 (d) 37
  31. 31.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 61 (c) 40 (d) 26
  32. 32.What is the average of all the whole numbers from 18 to 58? (a) 38 (b) 20 (c) 39 (d) 40
  33. 33.What is the average of all the whole numbers from 48 to 66? (a) 18 (b) 9 (c) 58 (d) 57
  34. 34.What is the average of all the whole numbers from 30 to 44? (a) 14 (b) 38 (c) 37 (d) 7
  35. 35.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 70 (c) 94 (d) 40
  36. 36.What is the average of all the whole numbers from 44 to 66? (a) 22 (b) 55 (c) 56 (d) 11
  37. 37.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 25 (c) 70 (d) 50
  38. 38.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 24 (b) 73 (c) 55 (d) 52
  39. 39.What is the average of all the whole numbers from 52 to 72? (a) 62 (b) 63 (c) 20 (d) 10
  40. 40.What is the average of 21, 22, 30, 20 and 82? (a) 36 (b) 34 (c) 37 (d) 35

Answer key

  1. 31
  2. 84
  3. 28
  4. 25
  5. 59
  6. 54
  7. 45
  8. 16
  9. 75
  10. 46
  11. 67
  12. 32
  13. 38
  14. 46
  15. 64
  16. 47
  17. 77
  18. 20
  19. 76
  20. 27
  21. 5
  22. 77
  23. 40
  24. 41
  25. 108
  26. 82
  27. 75
  28. 23
  29. 30
  30. 36
  31. 61
  32. 38
  33. 57
  34. 37
  35. 94
  36. 55
  37. 70
  38. 73
  39. 62
  40. 35

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