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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 470 · 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 all the whole numbers from 35 to 45? (a) 40 (b) 10 (c) 5 (d) 41
  2. 2.What is the average of all the whole numbers from 52 to 76? (a) 24 (b) 64 (c) 12 (d) 65
  3. 3.What is the average of all the whole numbers from 35 to 63? (a) 14 (b) 50 (c) 28 (d) 49
  4. 4.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 51 (d) 35
  5. 5.What is the average of all the whole numbers from 49 to 69? (a) 20 (b) 60 (c) 10 (d) 59
  6. 6.What is the average of 37, 37, 53, 51, 43 and 37? (a) 44 (b) 42 (c) 43 (d) 45
  7. 7.What is the average of all the whole numbers from 42 to 48? (a) 3 (b) 6 (c) 46 (d) 45
  8. 8.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 34? (a) 64 (b) 35 (c) 34 (d) 39
  9. 9.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 52 (c) 40 (d) 84
  10. 10.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 21 (c) 41 (d) 59
  11. 11.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 80 (b) 110 (c) 38 (d) 46
  12. 12.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 93 (b) 49 (c) 84 (d) 40
  13. 13.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 40 (b) 46 (c) 81 (d) 51
  14. 14.What is the average of 40, 45, 56 and 51? (a) 47 (b) 49 (c) 64 (d) 48
  15. 15.What is the average of 20, 29, 31, 29 and 41? (a) 29 (b) 32 (c) 31 (d) 30
  16. 16.What is the average of 47, 43, 58, 72, 62 and 66? (a) 57 (b) 60 (c) 59 (d) 58
  17. 17.What is the average of 61, 44, 58, 51, 45 and 29? (a) 49 (b) 48 (c) 50 (d) 47
  18. 18.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 49 (c) 71 (d) 36
  19. 19.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 18 (b) 43 (c) 91 (d) 19
  20. 20.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
  21. 21.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 76 (b) 34 (c) 27 (d) 56
  22. 22.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 42 (c) 27 (d) 18
  23. 23.What is the average of 39, 62, 37 and 70? (a) 54 (b) 53 (c) 51 (d) 52
  24. 24.What is the average of 56, 59, 54 and 19? (a) 48 (b) 46 (c) 49 (d) 47
  25. 25.What is the average of all the whole numbers from 25 to 45? (a) 35 (b) 36 (c) 10 (d) 20
  26. 26.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 64 (b) 16 (c) 72 (d) 60
  27. 27.What is the average of 61, 66, 79, 77 and 92? (a) 75 (b) 77 (c) 74 (d) 76
  28. 28.What is the average of 67, 71, 70, 48, 58 and 28? (a) 58 (b) 59 (c) 56 (d) 57
  29. 29.What is the average of all the whole numbers from 7 to 43? (a) 25 (b) 26 (c) 36 (d) 18
  30. 30.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 24 (b) 43 (c) 40 (d) 61
  31. 31.What is the average of 43, 58, 55, 54 and 75? (a) 56 (b) 58 (c) 59 (d) 57
  32. 32.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 52 (c) 35 (d) 73
  33. 33.What is the average of 42, 38, 33 and 59? (a) 45 (b) 42 (c) 43 (d) 44
  34. 34.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 35 (b) 93 (c) 79 (d) 49
  35. 35.What is the average of 80, 64, 62 and 58? (a) 88 (b) 67 (c) 66 (d) 65
  36. 36.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 36 (c) 68 (d) 40
  37. 37.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 76 (c) 36 (d) 45
  38. 38.What is the average of all the whole numbers from 11 to 35? (a) 22 (b) 24 (c) 23 (d) 12
  39. 39.What is the average of 69, 60, 57 and 54? (a) 80 (b) 61 (c) 60 (d) 59
  40. 40.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 47 (b) 72 (c) 30 (d) 89

Answer key

  1. 40
  2. 64
  3. 49
  4. 51
  5. 59
  6. 43
  7. 45
  8. 64
  9. 84
  10. 59
  11. 110
  12. 84
  13. 81
  14. 48
  15. 30
  16. 58
  17. 48
  18. 71
  19. 18
  20. 84
  21. 76
  22. 42
  23. 52
  24. 47
  25. 35
  26. 72
  27. 75
  28. 57
  29. 25
  30. 61
  31. 57
  32. 73
  33. 43
  34. 79
  35. 66
  36. 68
  37. 76
  38. 23
  39. 60
  40. 72

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