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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 358 · 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 48, 25, 34 and 33? (a) 37 (b) 36 (c) 35 (d) 34
  2. 2.What is the average of 38, 48, 48 and 6? (a) 34 (b) 35 (c) 37 (d) 36
  3. 3.What is the average of 68, 49, 55 and 84? (a) 63 (b) 66 (c) 64 (d) 65
  4. 4.What is the average of 58, 34, 37, 58, 43 and 28? (a) 45 (b) 44 (c) 42 (d) 43
  5. 5.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 41 (b) 87 (c) 12 (d) 11
  6. 6.What is the average of 48, 49, 47 and 104? (a) 61 (b) 63 (c) 62 (d) 64
  7. 7.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 32 (c) 48 (d) 54
  8. 8.What is the average of 53, 48, 49, 72, 48 and 90? (a) 59 (b) 72 (c) 60 (d) 61
  9. 9.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 26 (c) 30 (d) 51
  10. 10.What is the average of 40, 33, 40, 50, 42 and 71? (a) 48 (b) 46 (c) 47 (d) 45
  11. 11.What is the average of 63, 88, 89 and 64? (a) 76 (b) 77 (c) 75 (d) 78
  12. 12.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 50 (b) 102 (c) 41 (d) 40
  13. 13.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 18 (c) 73 (d) 59
  14. 14.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 4 (c) 17 (d) 14
  15. 15.What is the average of 77, 82, 78, 72 and 36? (a) 68 (b) 71 (c) 70 (d) 69
  16. 16.What is the average of 9, 36, 11, 9, 14 and 47? (a) 20 (b) 22 (c) 23 (d) 21
  17. 17.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 30 (b) 66 (c) 41 (d) 46
  18. 18.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 32 (c) 18 (d) 33
  19. 19.What is the average of 54, 39, 49 and 58? (a) 49 (b) 52 (c) 50 (d) 51
  20. 20.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 51 (b) 6 (c) 91 (d) 46
  21. 21.What is the average of 60, 63, 44, 47, 66 and 32? (a) 53 (b) 51 (c) 52 (d) 54
  22. 22.What is the average of all the whole numbers from 30 to 38? (a) 8 (b) 4 (c) 34 (d) 35
  23. 23.What is the average of 28, 20, 27 and 13? (a) 24 (b) 21 (c) 22 (d) 23
  24. 24.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 55 (b) 74 (c) 39 (d) 20
  25. 25.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 59 (c) 87 (d) 32
  26. 26.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 36 (b) 29 (c) 57 (d) 25
  27. 27.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 23 (c) 50 (d) 7
  28. 28.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 59 (b) 15 (c) 47 (d) 91
  29. 29.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) 51 (b) 40 (c) 56 (d) 86
  30. 30.What is the average of 58, 56, 67, 68 and 46? (a) 58 (b) 61 (c) 59 (d) 60
  31. 31.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 70 (b) 24 (c) 96 (d) 50
  32. 32.What is the average of 78, 80, 70, 78, 77 and 7? (a) 66 (b) 65 (c) 64 (d) 78
  33. 33.What is the average of all the whole numbers from 45 to 63? (a) 9 (b) 18 (c) 55 (d) 54
  34. 34.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 83 (b) 41 (c) 49 (d) 48
  35. 35.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 48 (d) 70
  36. 36.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 18 (b) 14 (c) 29 (d) 25
  37. 37.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 24 (b) 23 (c) 43 (d) 90
  38. 38.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 30 (c) 26 (d) 50
  39. 39.What is the average of 73, 59, 44, 54 and 60? (a) 57 (b) 59 (c) 58 (d) 60
  40. 40.What is the average of all the whole numbers from 29 to 51? (a) 11 (b) 22 (c) 40 (d) 41

Answer key

  1. 35
  2. 35
  3. 64
  4. 43
  5. 11
  6. 62
  7. 54
  8. 60
  9. 51
  10. 46
  11. 76
  12. 40
  13. 73
  14. 17
  15. 69
  16. 21
  17. 66
  18. 32
  19. 50
  20. 51
  21. 52
  22. 34
  23. 22
  24. 55
  25. 87
  26. 57
  27. 7
  28. 59
  29. 86
  30. 59
  31. 70
  32. 65
  33. 54
  34. 83
  35. 70
  36. 29
  37. 23
  38. 50
  39. 58
  40. 40

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