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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 870 · 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 18, 33, 13, 29 and 12? (a) 22 (b) 23 (c) 21 (d) 20
  2. 2.What is the average of 73, 70, 56 and 49? (a) 63 (b) 61 (c) 62 (d) 64
  3. 3.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 86 (c) 48 (d) 44
  4. 4.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 19 (c) 20 (d) 45
  5. 5.What is the average of 41, 43, 30 and 10? (a) 30 (b) 32 (c) 33 (d) 31
  6. 6.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 64 (c) 58 (d) 12
  7. 7.What is the average of 63, 59, 63, 82, 87 and 84? (a) 72 (b) 73 (c) 75 (d) 74
  8. 8.What is the average of 66, 45, 66, 42, 69 and 36? (a) 56 (b) 53 (c) 55 (d) 54
  9. 9.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 41 (b) 83 (c) 38 (d) 39
  10. 10.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 60 (b) 21 (c) 81 (d) 42
  11. 11.What is the average of all the whole numbers from 55 to 89? (a) 34 (b) 72 (c) 73 (d) 17
  12. 12.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 42 (c) 13 (d) 12
  13. 13.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) 10 (b) 45 (c) 72 (d) 37
  14. 14.What is the average of all the whole numbers from 18 to 52? (a) 34 (b) 35 (c) 17 (d) 36
  15. 15.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 16 (b) 66 (c) 35 (d) 47
  16. 16.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 23 (b) 22 (c) 29 (d) 59
  17. 17.What is the average of 64, 92, 92 and 68? (a) 80 (b) 81 (c) 79 (d) 78
  18. 18.What is the average of 14, 17, 13, 19, 13 and 68? (a) 23 (b) 25 (c) 24 (d) 26
  19. 19.What is the average of 42, 41, 39, 56, 61 and 85? (a) 54 (b) 53 (c) 56 (d) 55
  20. 20.What is the average of all the whole numbers from 17 to 39? (a) 22 (b) 11 (c) 28 (d) 29
  21. 21.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 51 (c) 50 (d) 28
  22. 22.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 72 (c) 42 (d) 36
  23. 23.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 128 (c) 65 (d) 70
  24. 24.What is the average of all the whole numbers from 49 to 87? (a) 69 (b) 19 (c) 38 (d) 68
  25. 25.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 20 (b) 61 (c) 71 (d) 56
  26. 26.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 8 (b) 32 (c) 25 (d) 49
  27. 27.What is the average of 35, 41, 54 and 38? (a) 42 (b) 56 (c) 43 (d) 41
  28. 28.What is the average of all the whole numbers from 27 to 39? (a) 6 (b) 33 (c) 12 (d) 34
  29. 29.What is the average of all the whole numbers from 21 to 43? (a) 11 (b) 32 (c) 33 (d) 22
  30. 30.What is the average of all the whole numbers from 44 to 68? (a) 57 (b) 12 (c) 56 (d) 24
  31. 31.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 93 (b) 25 (c) 44 (d) 24
  32. 32.What is the average of 47, 50, 58 and 85? (a) 59 (b) 60 (c) 61 (d) 80
  33. 33.What is the average of all the whole numbers from 16 to 52? (a) 34 (b) 35 (c) 18 (d) 36
  34. 34.What is the average of all the whole numbers from 52 to 68? (a) 8 (b) 16 (c) 61 (d) 60
  35. 35.What is the average of 71, 74, 71, 89 and 75? (a) 95 (b) 76 (c) 75 (d) 77
  36. 36.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 55 (c) 21 (d) 73
  37. 37.What is the average of 45, 20, 21 and 54? (a) 37 (b) 34 (c) 35 (d) 36
  38. 38.What is the average of 82, 75, 71, 79, 76 and 73? (a) 77 (b) 75 (c) 76 (d) 78
  39. 39.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 59? (a) 59 (b) 63 (c) 115 (d) 66
  40. 40.What is the average of all the whole numbers from 56 to 82? (a) 70 (b) 13 (c) 69 (d) 26

Answer key

  1. 21
  2. 62
  3. 86
  4. 19
  5. 31
  6. 64
  7. 73
  8. 54
  9. 38
  10. 60
  11. 72
  12. 12
  13. 45
  14. 35
  15. 47
  16. 22
  17. 79
  18. 24
  19. 54
  20. 28
  21. 51
  22. 72
  23. 128
  24. 68
  25. 71
  26. 32
  27. 42
  28. 33
  29. 32
  30. 56
  31. 24
  32. 60
  33. 34
  34. 60
  35. 76
  36. 73
  37. 35
  38. 76
  39. 115
  40. 69

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