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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 44 · 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 42, 47, 53, 62 and 36? (a) 48 (b) 49 (c) 60 (d) 47
  2. 2.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 47 (b) 7 (c) 21 (d) 6
  3. 3.What is the average of 50, 49, 40 and 13? (a) 40 (b) 39 (c) 37 (d) 38
  4. 4.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 60 (b) 46 (c) 90 (d) 16
  5. 5.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 40 (b) 53 (c) 57 (d) 89
  6. 6.What is the average of 33, 32, 24 and 3? (a) 23 (b) 25 (c) 22 (d) 24
  7. 7.What is the average of 45, 21, 27, 21, 27 and 69? (a) 36 (b) 35 (c) 42 (d) 34
  8. 8.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 33 (c) 38 (d) 6
  9. 9.What is the average of all the whole numbers from 54 to 94? (a) 40 (b) 75 (c) 74 (d) 20
  10. 10.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 20 (b) 27 (c) 19 (d) 12
  11. 11.What is the average of 35, 39, 60, 60 and 36? (a) 45 (b) 46 (c) 47 (d) 48
  12. 12.What is the average of 61, 84, 81, 63 and 81? (a) 76 (b) 73 (c) 74 (d) 75
  13. 13.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 22 (b) 41 (c) 43 (d) 24
  14. 14.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 44 (b) 16 (c) 21 (d) 15
  15. 15.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 52 (c) 24 (d) 60
  16. 16.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 42 (b) 30 (c) 57 (d) 15
  17. 17.What is the average of 70, 92, 83, 90, 76 and 51? (a) 79 (b) 77 (c) 78 (d) 76
  18. 18.What is the average of all the whole numbers from 9 to 19? (a) 15 (b) 10 (c) 5 (d) 14
  19. 19.What is the average of 30, 20, 16, 25 and 64? (a) 31 (b) 30 (c) 32 (d) 33
  20. 20.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 55 (c) 36 (d) 83
  21. 21.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 26 (c) 25 (d) 6
  22. 22.What is the average of 72, 57, 71, 55 and 60? (a) 63 (b) 64 (c) 65 (d) 62
  23. 23.What is the average of 22, 38, 25 and 15? (a) 26 (b) 25 (c) 27 (d) 24
  24. 24.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 50 (b) 49 (c) 54 (d) 94
  25. 25.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 36 (b) 16 (c) 20 (d) 32
  26. 26.What is the average of 51, 45, 65, 71, 52 and 58? (a) 57 (b) 56 (c) 59 (d) 58
  27. 27.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 47 (c) 10 (d) 53
  28. 28.What is the average of 50, 25, 25, 47, 45 and 48? (a) 39 (b) 41 (c) 48 (d) 40
  29. 29.What is the average of 64, 65, 44, 43, 40 and 56? (a) 51 (b) 52 (c) 54 (d) 53
  30. 30.What is the average of 60, 73, 81, 61 and 70? (a) 68 (b) 70 (c) 69 (d) 71
  31. 31.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 45 (b) 35 (c) 14 (d) 33
  32. 32.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 40 (c) 74 (d) 73
  33. 33.What is the average of all the whole numbers from 45 to 53? (a) 4 (b) 49 (c) 8 (d) 50
  34. 34.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 30? (a) 70 (b) 37 (c) 30 (d) 93
  35. 35.What is the average of 88, 67, 81 and 72? (a) 77 (b) 76 (c) 78 (d) 79
  36. 36.What is the average of all the whole numbers from 54 to 60? (a) 58 (b) 3 (c) 6 (d) 57
  37. 37.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 35 (b) 62 (c) 69 (d) 90
  38. 38.What is the average of all the whole numbers from 38 to 76? (a) 57 (b) 19 (c) 38 (d) 58
  39. 39.What is the average of all the whole numbers from 10 to 36? (a) 13 (b) 26 (c) 24 (d) 23
  40. 40.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 19 (c) 14 (d) 13

Answer key

  1. 48
  2. 6
  3. 38
  4. 60
  5. 89
  6. 23
  7. 35
  8. 38
  9. 74
  10. 27
  11. 46
  12. 74
  13. 43
  14. 15
  15. 52
  16. 42
  17. 77
  18. 14
  19. 31
  20. 83
  21. 25
  22. 63
  23. 25
  24. 94
  25. 32
  26. 57
  27. 53
  28. 40
  29. 52
  30. 69
  31. 45
  32. 74
  33. 49
  34. 93
  35. 77
  36. 57
  37. 90
  38. 57
  39. 23
  40. 13

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