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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 756 · 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 38 to 78? (a) 59 (b) 20 (c) 40 (d) 58
  2. 2.What is the average of 31, 22, 48 and 35? (a) 33 (b) 35 (c) 36 (d) 34
  3. 3.What is the average of all the whole numbers from 7 to 43? (a) 26 (b) 25 (c) 18 (d) 36
  4. 4.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 36 (b) 87 (c) 55 (d) 59
  5. 5.What is the average of all the whole numbers from 57 to 91? (a) 34 (b) 75 (c) 17 (d) 74
  6. 6.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 26 (b) 34 (c) 25 (d) 71
  7. 7.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 41 (b) 46 (c) 81 (d) 6
  8. 8.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 98 (c) 62 (d) 40
  9. 9.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 12 (c) 54 (d) 44
  10. 10.What is the average of all the whole numbers from 21 to 33? (a) 27 (b) 6 (c) 12 (d) 28
  11. 11.What is the average of all the whole numbers from 39 to 71? (a) 56 (b) 55 (c) 16 (d) 32
  12. 12.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 28? (a) 34 (b) 64 (c) 42 (d) 28
  13. 13.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 57 (c) 6 (d) 7
  14. 14.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 66 (c) 46 (d) 25
  15. 15.What is the average of 41, 51, 56, 54 and 3? (a) 40 (b) 41 (c) 42 (d) 43
  16. 16.What is the average of 56, 74, 57 and 93? (a) 70 (b) 71 (c) 72 (d) 69
  17. 17.What is the average of 37, 15, 40 and 8? (a) 26 (b) 25 (c) 24 (d) 27
  18. 18.What is the average of 56, 55, 66 and 67? (a) 62 (b) 60 (c) 63 (d) 61
  19. 19.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 70 (b) 46 (c) 39 (d) 102
  20. 20.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 62 (b) 40 (c) 92 (d) 57
  21. 21.What is the average of 40, 48, 40, 32, 42 and 80? (a) 48 (b) 47 (c) 49 (d) 46
  22. 22.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 38 (b) 48 (c) 39 (d) 98
  23. 23.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 26 (b) 67 (c) 27 (d) 33
  24. 24.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 73 (b) 36 (c) 34 (d) 33
  25. 25.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 58 (b) 41 (c) 23 (d) 40
  26. 26.What is the average of 31, 15, 39, 41 and 24? (a) 29 (b) 31 (c) 30 (d) 32
  27. 27.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 20 (b) 56 (c) 68 (d) 52
  28. 28.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 62 (c) 80 (d) 20
  29. 29.What is the average of all the whole numbers from 9 to 45? (a) 27 (b) 18 (c) 28 (d) 36
  30. 30.What is the average of all the whole numbers from 47 to 59? (a) 6 (b) 12 (c) 53 (d) 54
  31. 31.What is the average of 41, 28, 25 and 54? (a) 36 (b) 38 (c) 39 (d) 37
  32. 32.What is the average of 48, 33, 31, 27, 33 and 26? (a) 32 (b) 33 (c) 35 (d) 34
  33. 33.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 39 (c) 27 (d) 15
  34. 34.What is the average of 32, 45, 25 and 46? (a) 37 (b) 38 (c) 36 (d) 39
  35. 35.What is the average of all the whole numbers from 52 to 66? (a) 7 (b) 14 (c) 59 (d) 60
  36. 36.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 36 (c) 9 (d) 17
  37. 37.What is the average of 91, 67, 75, 92, 86 and 69? (a) 79 (b) 96 (c) 81 (d) 80
  38. 38.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 11 (b) 6 (c) 24 (d) 5
  39. 39.What is the average of 65, 58, 69, 80, 86 and 74? (a) 74 (b) 72 (c) 73 (d) 71
  40. 40.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 52 (b) 10 (c) 58 (d) 50

Answer key

  1. 58
  2. 34
  3. 25
  4. 87
  5. 74
  6. 25
  7. 46
  8. 98
  9. 54
  10. 27
  11. 55
  12. 64
  13. 6
  14. 66
  15. 41
  16. 70
  17. 25
  18. 61
  19. 102
  20. 92
  21. 47
  22. 38
  23. 26
  24. 33
  25. 58
  26. 30
  27. 68
  28. 80
  29. 27
  30. 53
  31. 37
  32. 33
  33. 39
  34. 37
  35. 59
  36. 9
  37. 80
  38. 5
  39. 72
  40. 58

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