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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 921 · 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 40 to 54? (a) 7 (b) 48 (c) 47 (d) 14
  2. 2.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 36? (a) 64 (b) 43 (c) 35 (d) 36
  3. 3.What is the average of 22, 44, 39, 17 and 28? (a) 31 (b) 32 (c) 30 (d) 29
  4. 4.What is the average of 90, 69, 92 and 65? (a) 79 (b) 78 (c) 81 (d) 80
  5. 5.What is the average of 29, 57, 47 and 35? (a) 43 (b) 56 (c) 42 (d) 41
  6. 6.What is the average of all the whole numbers from 10 to 18? (a) 8 (b) 4 (c) 14 (d) 15
  7. 7.What is the average of 66, 83, 77 and 78? (a) 77 (b) 76 (c) 78 (d) 75
  8. 8.What is the average of 56, 56, 48, 66, 52 and 28? (a) 53 (b) 51 (c) 52 (d) 50
  9. 9.What is the average of 57, 60, 42 and 41? (a) 49 (b) 52 (c) 50 (d) 51
  10. 10.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 95 (c) 56 (d) 46
  11. 11.What is the average of 44, 73, 55 and 60? (a) 58 (b) 59 (c) 60 (d) 57
  12. 12.What is the average of 41, 29, 30 and 32? (a) 34 (b) 44 (c) 32 (d) 33
  13. 13.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 99 (b) 49 (c) 46 (d) 45
  14. 14.What is the average of 43, 20, 41 and 28? (a) 34 (b) 33 (c) 32 (d) 44
  15. 15.What is the average of 44, 53, 41, 31, 46 and 31? (a) 43 (b) 40 (c) 41 (d) 42
  16. 16.What is the average of all the whole numbers from 14 to 32? (a) 24 (b) 23 (c) 18 (d) 9
  17. 17.What is the average of all the whole numbers from 55 to 65? (a) 5 (b) 60 (c) 10 (d) 61
  18. 18.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 44 (c) 15 (d) 61
  19. 19.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 80 (b) 24 (c) 59 (d) 62
  20. 20.What is the average of all the whole numbers from 35 to 61? (a) 26 (b) 48 (c) 13 (d) 49
  21. 21.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) 54 (b) 20 (c) 59 (d) 69
  22. 22.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 16 (b) 38 (c) 50 (d) 42
  23. 23.What is the average of 65, 88, 69 and 70? (a) 72 (b) 74 (c) 75 (d) 73
  24. 24.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 6 (c) 5 (d) 20
  25. 25.What is the average of 80, 58, 73, 72, 55 and 76? (a) 71 (b) 70 (c) 69 (d) 68
  26. 26.What is the average of all the whole numbers from 12 to 32? (a) 20 (b) 23 (c) 10 (d) 22
  27. 27.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 85 (b) 44 (c) 53 (d) 12
  28. 28.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 99 (b) 43 (c) 35 (d) 72
  29. 29.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 20 (c) 29 (d) 13
  30. 30.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 62 (c) 110 (d) 56
  31. 31.What is the average of 48, 40, 68, 65 and 44? (a) 52 (b) 53 (c) 55 (d) 54
  32. 32.What is the average of 49, 70, 58, 54, 47 and 64? (a) 56 (b) 59 (c) 58 (d) 57
  33. 33.What is the average of all the whole numbers from 18 to 56? (a) 19 (b) 37 (c) 36 (d) 38
  34. 34.What is the average of 30, 30, 34 and 74? (a) 41 (b) 56 (c) 42 (d) 43
  35. 35.What is the average of all the whole numbers from 35 to 67? (a) 32 (b) 52 (c) 51 (d) 16
  36. 36.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 23 (c) 24 (d) 27
  37. 37.What is the average of all the whole numbers from 10 to 20? (a) 15 (b) 16 (c) 10 (d) 5
  38. 38.What is the average of 47, 63, 61 and 77? (a) 61 (b) 63 (c) 64 (d) 62
  39. 39.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 15 (c) 19 (d) 23
  40. 40.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 54 (b) 42 (c) 15 (d) 81

Answer key

  1. 47
  2. 64
  3. 30
  4. 79
  5. 42
  6. 14
  7. 76
  8. 51
  9. 50
  10. 95
  11. 58
  12. 33
  13. 45
  14. 33
  15. 41
  16. 23
  17. 60
  18. 44
  19. 80
  20. 48
  21. 69
  22. 50
  23. 73
  24. 5
  25. 69
  26. 22
  27. 53
  28. 99
  29. 29
  30. 110
  31. 53
  32. 57
  33. 37
  34. 42
  35. 51
  36. 23
  37. 15
  38. 62
  39. 23
  40. 54

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