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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 63 · 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 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 69 (c) 61 (d) 16
  2. 2.What is the average of 58, 58, 38, 52, 34 and 42? (a) 48 (b) 46 (c) 49 (d) 47
  3. 3.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 55 (c) 22 (d) 23
  4. 4.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 67 (c) 43 (d) 32
  5. 5.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 37 (c) 36 (d) 69
  6. 6.What is the average of 63, 64, 75, 63 and 70? (a) 66 (b) 69 (c) 68 (d) 67
  7. 7.What is the average of 67, 66, 47, 57 and 38? (a) 57 (b) 55 (c) 56 (d) 54
  8. 8.What is the average of 57, 66, 56 and 53? (a) 60 (b) 57 (c) 58 (d) 59
  9. 9.What is the average of 69, 73, 84, 89, 90 and 75? (a) 80 (b) 96 (c) 81 (d) 79
  10. 10.What is the average of all the whole numbers from 16 to 46? (a) 31 (b) 32 (c) 30 (d) 15
  11. 11.What is the average of 57, 49, 71 and 51? (a) 58 (b) 56 (c) 76 (d) 57
  12. 12.What is the average of 66, 91, 69, 74 and 95? (a) 81 (b) 79 (c) 78 (d) 80
  13. 13.What is the average of 75, 75, 56 and 78? (a) 71 (b) 72 (c) 73 (d) 70
  14. 14.What is the average of all the whole numbers from 13 to 53? (a) 40 (b) 20 (c) 34 (d) 33
  15. 15.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) 6 (b) 41 (c) 81 (d) 46
  16. 16.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 30 (b) 14 (c) 20 (d) 24
  17. 17.What is the average of 58, 49, 55, 55 and 38? (a) 53 (b) 50 (c) 52 (d) 51
  18. 18.What is the average of all the whole numbers from 49 to 61? (a) 55 (b) 6 (c) 56 (d) 12
  19. 19.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 44 (c) 32 (d) 15
  20. 20.What is the average of all the whole numbers from 56 to 82? (a) 26 (b) 70 (c) 69 (d) 13
  21. 21.What is the average of all the whole numbers from 19 to 25? (a) 23 (b) 3 (c) 22 (d) 6
  22. 22.What is the average of 70, 68, 86, 59, 78 and 71? (a) 71 (b) 73 (c) 72 (d) 74
  23. 23.What is the average of 34, 40, 10 and 16? (a) 26 (b) 24 (c) 25 (d) 27
  24. 24.What is the average of 49, 44, 66 and 65? (a) 58 (b) 57 (c) 55 (d) 56
  25. 25.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 39 (b) 27 (c) 36 (d) 60
  26. 26.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 71 (c) 59 (d) 20
  27. 27.What is the average of all the whole numbers from 57 to 91? (a) 17 (b) 74 (c) 75 (d) 34
  28. 28.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 39 (b) 100 (c) 40 (d) 49
  29. 29.What is the average of all the whole numbers from 12 to 26? (a) 20 (b) 14 (c) 7 (d) 19
  30. 30.What is the average of 45, 38, 48, 59, 33 and 65? (a) 49 (b) 47 (c) 50 (d) 48
  31. 31.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 5 (c) 73 (d) 4
  32. 32.What is the average of 17, 30, 19 and 42? (a) 28 (b) 36 (c) 26 (d) 27
  33. 33.What is the average of 42, 44, 45, 16 and 8? (a) 31 (b) 30 (c) 32 (d) 33
  34. 34.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 60 (b) 65 (c) 35 (d) 30
  35. 35.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 14 (b) 56 (c) 26 (d) 15
  36. 36.What is the average of all the whole numbers from 43 to 67? (a) 24 (b) 56 (c) 55 (d) 12
  37. 37.What is the average of 66, 65, 47 and 54? (a) 58 (b) 59 (c) 60 (d) 57
  38. 38.What is the average of 54, 41, 46, 40, 40 and 67? (a) 50 (b) 49 (c) 47 (d) 48
  39. 39.What is the average of 39, 50, 55, 59 and 37? (a) 49 (b) 60 (c) 48 (d) 47
  40. 40.What is the average of all the whole numbers from 41 to 69? (a) 55 (b) 28 (c) 56 (d) 14

Answer key

  1. 69
  2. 47
  3. 22
  4. 67
  5. 69
  6. 67
  7. 55
  8. 58
  9. 80
  10. 31
  11. 57
  12. 79
  13. 71
  14. 33
  15. 46
  16. 30
  17. 51
  18. 55
  19. 44
  20. 69
  21. 22
  22. 72
  23. 25
  24. 56
  25. 60
  26. 71
  27. 74
  28. 39
  29. 19
  30. 48
  31. 4
  32. 27
  33. 31
  34. 60
  35. 14
  36. 55
  37. 58
  38. 48
  39. 48
  40. 55

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