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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 11 · 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.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 33 (c) 10 (d) 16
  2. 2.What is the average of all the whole numbers from 44 to 74? (a) 59 (b) 15 (c) 60 (d) 30
  3. 3.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 10 (c) 61 (d) 67
  4. 4.What is the average of all the whole numbers from 36 to 68? (a) 53 (b) 52 (c) 32 (d) 16
  5. 5.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 29 (b) 48 (c) 28 (d) 101
  6. 6.What is the average of all the whole numbers from 27 to 59? (a) 44 (b) 43 (c) 16 (d) 32
  7. 7.What is the average of all the whole numbers from 14 to 26? (a) 12 (b) 6 (c) 20 (d) 21
  8. 8.What is the average of 87, 64, 84, 80, 64 and 89? (a) 79 (b) 80 (c) 78 (d) 77
  9. 9.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 59 (c) 51 (d) 12
  10. 10.What is the average of all the whole numbers from 21 to 59? (a) 40 (b) 19 (c) 41 (d) 38
  11. 11.What is the average of 71, 45, 45, 47 and 82? (a) 57 (b) 60 (c) 59 (d) 58
  12. 12.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 60 (b) 62 (c) 110 (d) 56
  13. 13.What is the average of 48, 31, 59, 44 and 43? (a) 46 (b) 45 (c) 44 (d) 47
  14. 14.What is the average of 63, 90, 77 and 70? (a) 100 (b) 74 (c) 76 (d) 75
  15. 15.What is the average of 86, 84, 85, 89 and 56? (a) 100 (b) 80 (c) 81 (d) 79
  16. 16.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) 20 (b) 55 (c) 71 (d) 59
  17. 17.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 34 (c) 8 (d) 30
  18. 18.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 28 (c) 7 (d) 27
  19. 19.What is the average of 61, 74, 65, 76 and 34? (a) 61 (b) 64 (c) 62 (d) 63
  20. 20.What is the average of 54, 45, 60 and 37? (a) 50 (b) 51 (c) 48 (d) 49
  21. 21.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 21 (b) 34 (c) 70 (d) 20
  22. 22.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 24 (b) 71 (c) 55 (d) 51
  23. 23.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 58 (c) 79 (d) 27
  24. 24.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 34? (a) 34 (b) 40 (c) 60 (d) 88
  25. 25.What is the average of all the whole numbers from 15 to 49? (a) 32 (b) 34 (c) 17 (d) 33
  26. 26.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 89 (b) 31 (c) 43 (d) 32
  27. 27.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 20 (b) 25 (c) 41 (d) 23
  28. 28.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 20 (c) 65 (d) 94
  29. 29.What is the average of 68, 60, 70, 54, 45 and 57? (a) 60 (b) 59 (c) 58 (d) 61
  30. 30.What is the average of 50, 48, 62 and 40? (a) 49 (b) 52 (c) 51 (d) 50
  31. 31.What is the average of all the whole numbers from 38 to 72? (a) 17 (b) 34 (c) 55 (d) 56
  32. 32.What is the average of all the whole numbers from 10 to 50? (a) 40 (b) 30 (c) 20 (d) 31
  33. 33.What is the average of 51, 55, 42 and 44? (a) 64 (b) 49 (c) 47 (d) 48
  34. 34.What is the average of 27, 41, 28 and 48? (a) 37 (b) 35 (c) 48 (d) 36
  35. 35.What is the average of all the whole numbers from 43 to 79? (a) 36 (b) 18 (c) 62 (d) 61
  36. 36.What is the average of 44, 57, 59 and 52? (a) 53 (b) 55 (c) 54 (d) 52
  37. 37.What is the average of 31, 27, 29 and 29? (a) 30 (b) 28 (c) 29 (d) 31
  38. 38.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 41 (c) 13 (d) 32
  39. 39.What is the average of 32, 25, 41, 33, 21 and 4? (a) 27 (b) 25 (c) 26 (d) 28
  40. 40.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 53 (c) 32 (d) 29

Answer key

  1. 10
  2. 59
  3. 67
  4. 52
  5. 28
  6. 43
  7. 20
  8. 78
  9. 59
  10. 40
  11. 58
  12. 110
  13. 45
  14. 75
  15. 80
  16. 71
  17. 34
  18. 27
  19. 62
  20. 49
  21. 20
  22. 71
  23. 79
  24. 88
  25. 32
  26. 31
  27. 41
  28. 65
  29. 59
  30. 50
  31. 55
  32. 30
  33. 48
  34. 36
  35. 61
  36. 53
  37. 29
  38. 41
  39. 26
  40. 53

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