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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 120 · 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 41, 39, 57, 36, 52 and 45? (a) 45 (b) 44 (c) 46 (d) 54
  2. 2.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 64 (c) 127 (d) 70
  3. 3.What is the average of 71, 76, 77, 78, 75 and 61? (a) 74 (b) 72 (c) 75 (d) 73
  4. 4.What is the average of all the whole numbers from 26 to 34? (a) 4 (b) 31 (c) 30 (d) 8
  5. 5.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 56 (b) 88 (c) 46 (d) 39
  6. 6.What is the average of 36, 51, 61, 37, 57 and 64? (a) 52 (b) 50 (c) 53 (d) 51
  7. 7.What is the average of 43, 39, 49 and 29? (a) 41 (b) 39 (c) 40 (d) 42
  8. 8.What is the average of all the whole numbers from 32 to 52? (a) 10 (b) 42 (c) 43 (d) 20
  9. 9.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 116 (b) 64 (c) 60 (d) 68
  10. 10.What is the average of all the whole numbers from 5 to 19? (a) 7 (b) 13 (c) 14 (d) 12
  11. 11.What is the average of all the whole numbers from 40 to 62? (a) 22 (b) 11 (c) 52 (d) 51
  12. 12.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 43 (c) 27 (d) 20
  13. 13.What is the average of 78, 82, 64, 66 and 100? (a) 77 (b) 80 (c) 78 (d) 79
  14. 14.What is the average of all the whole numbers from 58 to 98? (a) 78 (b) 79 (c) 40 (d) 20
  15. 15.What is the average of 28, 26, 20, 21, 25 and 42? (a) 27 (b) 29 (c) 26 (d) 28
  16. 16.What is the average of all the whole numbers from 40 to 56? (a) 16 (b) 48 (c) 49 (d) 8
  17. 17.What is the average of 48, 25, 29, 33 and 55? (a) 37 (b) 40 (c) 39 (d) 38
  18. 18.What is the average of all the whole numbers from 33 to 67? (a) 17 (b) 51 (c) 50 (d) 34
  19. 19.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 69 (b) 34 (c) 63 (d) 40
  20. 20.What is the average of 34, 52, 45 and 41? (a) 44 (b) 45 (c) 43 (d) 42
  21. 21.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 72 (c) 45 (d) 10
  22. 22.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 30? (a) 20 (b) 48 (c) 32 (d) 30
  23. 23.What is the average of 54, 35, 61 and 50? (a) 51 (b) 52 (c) 49 (d) 50
  24. 24.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 52 (c) 30 (d) 76
  25. 25.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 35 (c) 34 (d) 41
  26. 26.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 32? (a) 50 (b) 32 (c) 38 (d) 24
  27. 27.What is the average of 68, 85, 85, 81 and 56? (a) 74 (b) 77 (c) 75 (d) 76
  28. 28.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) 24 (b) 62 (c) 80 (d) 59
  29. 29.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 9 (b) 51 (c) 10 (d) 24
  30. 30.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 16 (c) 76 (d) 64
  31. 31.What is the average of 45, 25, 27 and 47? (a) 48 (b) 36 (c) 37 (d) 35
  32. 32.What is the average of all the whole numbers from 43 to 67? (a) 55 (b) 56 (c) 12 (d) 24
  33. 33.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 6 (c) 26 (d) 41
  34. 34.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 37 (b) 7 (c) 25 (d) 19
  35. 35.What is the average of 65, 60, 37 and 42? (a) 51 (b) 50 (c) 52 (d) 68
  36. 36.What is the average of 54, 36, 45, 48 and 32? (a) 42 (b) 45 (c) 44 (d) 43
  37. 37.What is the average of 36, 46, 24, 37, 38 and 41? (a) 39 (b) 36 (c) 37 (d) 38
  38. 38.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 60 (c) 32 (d) 36
  39. 39.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 54? (a) 57 (b) 72 (c) 54 (d) 21
  40. 40.What is the average of 33, 38, 30, 38 and 41? (a) 37 (b) 36 (c) 45 (d) 35

Answer key

  1. 45
  2. 127
  3. 73
  4. 30
  5. 88
  6. 51
  7. 40
  8. 42
  9. 116
  10. 12
  11. 51
  12. 43
  13. 78
  14. 78
  15. 27
  16. 48
  17. 38
  18. 50
  19. 69
  20. 43
  21. 45
  22. 48
  23. 50
  24. 76
  25. 34
  26. 50
  27. 75
  28. 80
  29. 9
  30. 76
  31. 36
  32. 55
  33. 26
  34. 25
  35. 51
  36. 43
  37. 37
  38. 60
  39. 72
  40. 36

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