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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 35 · 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 70, 50, 55, 54, 69 and 68? (a) 60 (b) 63 (c) 62 (d) 61
  2. 2.What is the average of all the whole numbers from 58 to 86? (a) 72 (b) 28 (c) 14 (d) 73
  3. 3.What is the average of 64, 55, 47, 71, 45 and 78? (a) 72 (b) 59 (c) 60 (d) 61
  4. 4.What is the average of all the whole numbers from 15 to 53? (a) 19 (b) 38 (c) 34 (d) 35
  5. 5.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 77 (c) 11 (d) 12
  6. 6.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 73 (b) 19 (c) 34 (d) 20
  7. 7.What is the average of 39, 42, 29 and 26? (a) 35 (b) 33 (c) 36 (d) 34
  8. 8.What is the average of all the whole numbers from 5 to 33? (a) 28 (b) 20 (c) 14 (d) 19
  9. 9.What is the average of 56, 33, 32, 48 and 51? (a) 55 (b) 45 (c) 44 (d) 43
  10. 10.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 32 (c) 64 (d) 62
  11. 11.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 31 (b) 32 (c) 43 (d) 88
  12. 12.What is the average of 37, 37, 57, 43 and 86? (a) 53 (b) 51 (c) 52 (d) 65
  13. 13.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 27 (b) 15 (c) 24 (d) 36
  14. 14.What is the average of 55, 60, 42, 40 and 48? (a) 48 (b) 50 (c) 51 (d) 49
  15. 15.What is the average of all the whole numbers from 40 to 62? (a) 11 (b) 52 (c) 22 (d) 51
  16. 16.What is the average of 80, 76, 50 and 54? (a) 67 (b) 66 (c) 64 (d) 65
  17. 17.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 13 (c) 61 (d) 26
  18. 18.What is the average of all the whole numbers from 58 to 96? (a) 19 (b) 38 (c) 78 (d) 77
  19. 19.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 77 (b) 38 (c) 32 (d) 33
  20. 20.What is the average of all the whole numbers from 13 to 53? (a) 33 (b) 20 (c) 40 (d) 34
  21. 21.What is the average of 67, 58, 64, 59 and 67? (a) 65 (b) 62 (c) 64 (d) 63
  22. 22.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 15 (b) 21 (c) 39 (d) 33
  23. 23.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 36 (b) 70 (c) 42 (d) 8
  24. 24.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 15 (c) 27 (d) 26
  25. 25.What is the average of all the whole numbers from 28 to 66? (a) 38 (b) 48 (c) 19 (d) 47
  26. 26.What is the average of all the whole numbers from 15 to 27? (a) 21 (b) 22 (c) 6 (d) 12
  27. 27.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 67 (b) 43 (c) 82 (d) 28
  28. 28.What is the average of all the whole numbers from 33 to 65? (a) 32 (b) 49 (c) 16 (d) 50
  29. 29.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 34 (b) 67 (c) 40 (d) 7
  30. 30.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 51 (b) 47 (c) 30 (d) 26
  31. 31.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 49? (a) 52 (b) 15 (c) 61 (d) 49
  32. 32.What is the average of 23, 33, 25 and 3? (a) 28 (b) 22 (c) 20 (d) 21
  33. 33.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 8 (b) 26 (c) 50 (d) 32
  34. 34.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 60 (c) 35 (d) 89
  35. 35.What is the average of all the whole numbers from 7 to 19? (a) 6 (b) 12 (c) 13 (d) 14
  36. 36.What is the average of 19, 20, 19, 27 and 45? (a) 27 (b) 26 (c) 28 (d) 25
  37. 37.What is the average of 69, 70, 82, 68, 82 and 85? (a) 78 (b) 77 (c) 75 (d) 76
  38. 38.What is the average of all the whole numbers from 43 to 61? (a) 53 (b) 18 (c) 52 (d) 9
  39. 39.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 35 (c) 75 (d) 48
  40. 40.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 69 (b) 64 (c) 109 (d) 50

Answer key

  1. 61
  2. 72
  3. 60
  4. 34
  5. 11
  6. 19
  7. 34
  8. 19
  9. 44
  10. 62
  11. 31
  12. 52
  13. 36
  14. 49
  15. 51
  16. 65
  17. 61
  18. 77
  19. 32
  20. 33
  21. 63
  22. 33
  23. 42
  24. 27
  25. 47
  26. 21
  27. 67
  28. 49
  29. 40
  30. 51
  31. 61
  32. 21
  33. 32
  34. 89
  35. 13
  36. 26
  37. 76
  38. 52
  39. 75
  40. 109

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