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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 328 · 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.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 60 (c) 46 (d) 100
  2. 2.What is the average of 9, 34, 29, 7 and 31? (a) 21 (b) 24 (c) 22 (d) 23
  3. 3.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 58 (c) 17 (d) 16
  4. 4.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 20 (c) 35 (d) 51
  5. 5.What is the average of 58, 51, 42, 48, 53 and 18? (a) 54 (b) 46 (c) 45 (d) 44
  6. 6.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 17 (c) 43 (d) 16
  7. 7.What is the average of all the whole numbers from 36 to 46? (a) 41 (b) 5 (c) 42 (d) 10
  8. 8.What is the average of 68, 75, 77, 90, 66 and 80? (a) 78 (b) 77 (c) 75 (d) 76
  9. 9.What is the average of all the whole numbers from 7 to 27? (a) 18 (b) 17 (c) 10 (d) 20
  10. 10.What is the average of 49, 19, 45 and 23? (a) 33 (b) 34 (c) 35 (d) 36
  11. 11.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 24 (b) 33 (c) 51 (d) 30
  12. 12.What is the average of 32, 46, 51, 46 and 25? (a) 39 (b) 50 (c) 41 (d) 40
  13. 13.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 31? (a) 34 (b) 30 (c) 58 (d) 31
  14. 14.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 52 (c) 8 (d) 90
  15. 15.What is the average of all the whole numbers from 44 to 56? (a) 51 (b) 50 (c) 12 (d) 6
  16. 16.What is the average of 53, 37, 40, 36, 42 and 86? (a) 50 (b) 48 (c) 51 (d) 49
  17. 17.What is the average of 75, 49, 51 and 77? (a) 84 (b) 63 (c) 64 (d) 62
  18. 18.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 41 (b) 54 (c) 29 (d) 16
  19. 19.What is the average of all the whole numbers from 28 to 58? (a) 30 (b) 44 (c) 43 (d) 15
  20. 20.What is the average of 34, 27, 21, 20, 39 and 69? (a) 35 (b) 36 (c) 34 (d) 42
  21. 21.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 12 (b) 62 (c) 71 (d) 65
  22. 22.What is the average of 57, 67, 66, 67 and 63? (a) 80 (b) 63 (c) 65 (d) 64
  23. 23.What is the average of all the whole numbers from 34 to 58? (a) 12 (b) 24 (c) 46 (d) 47
  24. 24.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 20 (b) 59 (c) 69 (d) 54
  25. 25.What is the average of all the whole numbers from 6 to 28? (a) 17 (b) 22 (c) 18 (d) 11
  26. 26.What is the average of 71, 89, 83 and 73? (a) 80 (b) 81 (c) 78 (d) 79
  27. 27.What is the average of all the whole numbers from 39 to 59? (a) 10 (b) 49 (c) 20 (d) 50
  28. 28.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 56 (b) 39 (c) 81 (d) 32
  29. 29.What is the average of all the whole numbers from 38 to 50? (a) 45 (b) 6 (c) 44 (d) 12
  30. 30.What is the average of 36, 48, 53, 34 and 74? (a) 49 (b) 51 (c) 48 (d) 50
  31. 31.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 40 (c) 49 (d) 23
  32. 32.What is the average of 67, 80, 62 and 51? (a) 66 (b) 64 (c) 67 (d) 65
  33. 33.What is the average of all the whole numbers from 31 to 39? (a) 4 (b) 8 (c) 35 (d) 36
  34. 34.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 81 (c) 41 (d) 50
  35. 35.What is the average of 75, 52, 60, 63 and 50? (a) 61 (b) 75 (c) 60 (d) 59
  36. 36.What is the average of 81, 68, 68, 65, 90 and 78? (a) 90 (b) 74 (c) 76 (d) 75
  37. 37.What is the average of 30, 27, 47 and 32? (a) 35 (b) 33 (c) 36 (d) 34
  38. 38.What is the average of 32, 52, 46, 54 and 11? (a) 41 (b) 40 (c) 39 (d) 38
  39. 39.What is the average of all the whole numbers from 18 to 24? (a) 6 (b) 21 (c) 22 (d) 3
  40. 40.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 35 (b) 41 (c) 84 (d) 36

Answer key

  1. 100
  2. 22
  3. 16
  4. 51
  5. 45
  6. 16
  7. 41
  8. 76
  9. 17
  10. 34
  11. 51
  12. 40
  13. 58
  14. 52
  15. 50
  16. 49
  17. 63
  18. 41
  19. 43
  20. 35
  21. 71
  22. 64
  23. 46
  24. 69
  25. 17
  26. 79
  27. 49
  28. 81
  29. 44
  30. 49
  31. 49
  32. 65
  33. 35
  34. 81
  35. 60
  36. 75
  37. 34
  38. 39
  39. 21
  40. 35

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