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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 298 · 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 34 to 64? (a) 15 (b) 30 (c) 50 (d) 49
  2. 2.What is the average of all the whole numbers from 44 to 50? (a) 3 (b) 47 (c) 48 (d) 6
  3. 3.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 38 (c) 42 (d) 74
  4. 4.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) 61 (b) 16 (c) 69 (d) 57
  5. 5.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 100 (c) 58 (d) 56
  6. 6.What is the average of all the whole numbers from 11 to 21? (a) 17 (b) 5 (c) 10 (d) 16
  7. 7.What is the average of all the whole numbers from 30 to 40? (a) 5 (b) 36 (c) 10 (d) 35
  8. 8.What is the average of all the whole numbers from 25 to 43? (a) 18 (b) 35 (c) 9 (d) 34
  9. 9.What is the average of all the whole numbers from 19 to 49? (a) 15 (b) 35 (c) 34 (d) 30
  10. 10.What is the average of 39, 35, 15, 24 and 12? (a) 24 (b) 27 (c) 26 (d) 25
  11. 11.What is the average of 27, 30, 40, 42, 40 and 25? (a) 33 (b) 36 (c) 35 (d) 34
  12. 12.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 66 (c) 12 (d) 56
  13. 13.What is the average of 20, 27, 45 and 40? (a) 32 (b) 33 (c) 44 (d) 34
  14. 14.What is the average of 40, 52, 38, 60 and 35? (a) 45 (b) 44 (c) 46 (d) 47
  15. 15.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 47 (c) 4 (d) 44
  16. 16.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 14 (b) 17 (c) 15 (d) 35
  17. 17.What is the average of 36, 42, 34 and 16? (a) 33 (b) 34 (c) 32 (d) 31
  18. 18.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 32 (c) 65 (d) 70
  19. 19.What is the average of 74, 71, 74 and 61? (a) 70 (b) 71 (c) 72 (d) 69
  20. 20.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 44 (b) 18 (c) 85 (d) 59
  21. 21.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 37 (c) 41 (d) 24
  22. 22.What is the average of 67, 45, 49, 40, 49 and 68? (a) 54 (b) 52 (c) 53 (d) 55
  23. 23.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 46 (c) 18 (d) 60
  24. 24.What is the average of all the whole numbers from 8 to 40? (a) 25 (b) 32 (c) 24 (d) 16
  25. 25.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 4 (c) 63 (d) 35
  26. 26.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 36 (b) 16 (c) 32 (d) 20
  27. 27.What is the average of 88, 81, 72, 87, 88 and 58? (a) 80 (b) 78 (c) 81 (d) 79
  28. 28.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 69 (b) 36 (c) 54 (d) 21
  29. 29.What is the average of 61, 42, 56, 64, 53 and 66? (a) 59 (b) 58 (c) 57 (d) 56
  30. 30.What is the average of 56, 56, 53 and 11? (a) 46 (b) 43 (c) 45 (d) 44
  31. 31.What is the average of all the whole numbers from 41 to 79? (a) 38 (b) 19 (c) 60 (d) 61
  32. 32.What is the average of all the whole numbers from 55 to 95? (a) 40 (b) 75 (c) 76 (d) 20
  33. 33.What is the average of 49, 48, 31 and 52? (a) 44 (b) 60 (c) 46 (d) 45
  34. 34.What is the average of 35, 42, 22, 29 and 37? (a) 34 (b) 33 (c) 35 (d) 32
  35. 35.What is the average of all the whole numbers from 24 to 58? (a) 42 (b) 41 (c) 17 (d) 34
  36. 36.What is the average of 10, 7, 24 and 43? (a) 20 (b) 21 (c) 22 (d) 28
  37. 37.What is the average of 48, 47, 61, 63 and 86? (a) 62 (b) 63 (c) 60 (d) 61
  38. 38.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 56 (b) 107 (c) 59 (d) 67
  39. 39.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 70 (c) 58 (d) 18
  40. 40.What is the average of 81, 63, 56, 73 and 82? (a) 70 (b) 72 (c) 73 (d) 71

Answer key

  1. 49
  2. 47
  3. 74
  4. 69
  5. 100
  6. 16
  7. 35
  8. 34
  9. 34
  10. 25
  11. 34
  12. 66
  13. 33
  14. 45
  15. 47
  16. 14
  17. 32
  18. 65
  19. 70
  20. 59
  21. 41
  22. 53
  23. 60
  24. 24
  25. 35
  26. 32
  27. 79
  28. 54
  29. 57
  30. 44
  31. 60
  32. 75
  33. 45
  34. 33
  35. 41
  36. 21
  37. 61
  38. 107
  39. 70
  40. 71

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