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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 49 · 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 52, 69, 49 and 62? (a) 57 (b) 59 (c) 58 (d) 60
  2. 2.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 27 (b) 63 (c) 66 (d) 87
  3. 3.What is the average of 57, 40, 58 and 33? (a) 49 (b) 47 (c) 48 (d) 46
  4. 4.What is the average of 38, 43, 59 and 60? (a) 51 (b) 49 (c) 52 (d) 50
  5. 5.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 16 (c) 37 (d) 15
  6. 6.What is the average of all the whole numbers from 44 to 58? (a) 51 (b) 14 (c) 7 (d) 52
  7. 7.What is the average of 50, 66, 54, 50, 68 and 78? (a) 61 (b) 62 (c) 60 (d) 63
  8. 8.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 5 (c) 34 (d) 59
  9. 9.What is the average of all the whole numbers from 5 to 39? (a) 17 (b) 22 (c) 34 (d) 23
  10. 10.What is the average of all the whole numbers from 57 to 73? (a) 16 (b) 66 (c) 8 (d) 65
  11. 11.What is the average of 38, 51, 32, 54, 48 and 11? (a) 38 (b) 40 (c) 41 (d) 39
  12. 12.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 45 (c) 95 (d) 47
  13. 13.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 43 (c) 39 (d) 8
  14. 14.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 42 (b) 4 (c) 83 (d) 45
  15. 15.What is the average of 36, 59, 53, 34 and 58? (a) 49 (b) 60 (c) 47 (d) 48
  16. 16.What is the average of all the whole numbers from 11 to 23? (a) 12 (b) 6 (c) 18 (d) 17
  17. 17.What is the average of 61, 47, 49, 46 and 102? (a) 63 (b) 61 (c) 60 (d) 62
  18. 18.What is the average of 63, 43, 62 and 44? (a) 55 (b) 54 (c) 53 (d) 52
  19. 19.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 70 (b) 35 (c) 40 (d) 45
  20. 20.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 28? (a) 56 (b) 35 (c) 57 (d) 28
  21. 21.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 48 (c) 24 (d) 69
  22. 22.What is the average of all the whole numbers from 47 to 85? (a) 19 (b) 67 (c) 38 (d) 66
  23. 23.What is the average of 57, 47, 45, 40, 47 and 22? (a) 42 (b) 44 (c) 43 (d) 45
  24. 24.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 67 (c) 55 (d) 16
  25. 25.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 96 (b) 16 (c) 62 (d) 50
  26. 26.What is the average of 53, 63, 55, 55, 69 and 89? (a) 64 (b) 63 (c) 65 (d) 66
  27. 27.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 57? (a) 14 (b) 69 (c) 57 (d) 59
  28. 28.What is the average of all the whole numbers from 33 to 41? (a) 37 (b) 38 (c) 8 (d) 4
  29. 29.What is the average of all the whole numbers from 41 to 57? (a) 8 (b) 50 (c) 16 (d) 49
  30. 30.What is the average of all the whole numbers from 42 to 72? (a) 30 (b) 58 (c) 15 (d) 57
  31. 31.What is the average of all the whole numbers from 7 to 47? (a) 28 (b) 27 (c) 20 (d) 40
  32. 32.What is the average of all the whole numbers from 53 to 75? (a) 22 (b) 65 (c) 64 (d) 11
  33. 33.What is the average of all the whole numbers from 36 to 66? (a) 30 (b) 15 (c) 52 (d) 51
  34. 34.What is the average of 12, 31, 29 and 32? (a) 26 (b) 25 (c) 28 (d) 27
  35. 35.What is the average of all the whole numbers from 8 to 22? (a) 14 (b) 16 (c) 7 (d) 15
  36. 36.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 20 (c) 73 (d) 54
  37. 37.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 11 (b) 12 (c) 32 (d) 67
  38. 38.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 58 (c) 38 (d) 30
  39. 39.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 36 (c) 48 (d) 16
  40. 40.What is the average of all the whole numbers from 34 to 60? (a) 13 (b) 48 (c) 47 (d) 26

Answer key

  1. 58
  2. 87
  3. 47
  4. 50
  5. 15
  6. 51
  7. 61
  8. 34
  9. 22
  10. 65
  11. 39
  12. 44
  13. 43
  14. 45
  15. 48
  16. 17
  17. 61
  18. 53
  19. 70
  20. 56
  21. 69
  22. 66
  23. 43
  24. 67
  25. 62
  26. 64
  27. 69
  28. 37
  29. 49
  30. 57
  31. 27
  32. 64
  33. 51
  34. 26
  35. 15
  36. 54
  37. 11
  38. 58
  39. 48
  40. 47

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