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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 559 · 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 84, 67, 62, 87 and 65? (a) 73 (b) 75 (c) 72 (d) 74
  2. 2.What is the average of all the whole numbers from 17 to 31? (a) 24 (b) 25 (c) 14 (d) 7
  3. 3.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 30 (b) 69 (c) 34 (d) 31
  4. 4.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 72 (b) 54 (c) 48 (d) 30
  5. 5.What is the average of all the whole numbers from 28 to 42? (a) 36 (b) 14 (c) 35 (d) 7
  6. 6.What is the average of 73, 68, 77, 68, 55 and 49? (a) 64 (b) 65 (c) 66 (d) 78
  7. 7.What is the average of 36, 35, 35 and 82? (a) 49 (b) 48 (c) 46 (d) 47
  8. 8.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 11 (c) 27 (d) 22
  9. 9.What is the average of 41, 40, 63, 63 and 53? (a) 53 (b) 51 (c) 52 (d) 65
  10. 10.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 10 (c) 67 (d) 59
  11. 11.What is the average of all the whole numbers from 59 to 77? (a) 9 (b) 68 (c) 18 (d) 69
  12. 12.What is the average of 18, 26, 18 and 42? (a) 26 (b) 28 (c) 27 (d) 25
  13. 13.What is the average of 85, 84, 62, 90, 84 and 51? (a) 76 (b) 75 (c) 78 (d) 77
  14. 14.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 28 (c) 18 (d) 40
  15. 15.What is the average of 26, 24, 20, 34, 17 and 53? (a) 30 (b) 31 (c) 29 (d) 28
  16. 16.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 80 (b) 38 (c) 31 (d) 56
  17. 17.What is the average of 37, 36, 51 and 20? (a) 37 (b) 35 (c) 36 (d) 48
  18. 18.What is the average of 45, 47, 49, 70 and 84? (a) 59 (b) 61 (c) 58 (d) 60
  19. 19.What is the average of all the whole numbers from 16 to 40? (a) 29 (b) 28 (c) 24 (d) 12
  20. 20.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 16 (b) 25 (c) 52 (d) 15
  21. 21.What is the average of 53, 70, 71, 43 and 53? (a) 59 (b) 58 (c) 60 (d) 57
  22. 22.What is the average of all the whole numbers from 39 to 79? (a) 60 (b) 20 (c) 59 (d) 40
  23. 23.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 32 (c) 63 (d) 4
  24. 24.What is the average of 55, 46, 37 and 70? (a) 52 (b) 54 (c) 53 (d) 51
  25. 25.What is the average of 22, 25, 19 and 46? (a) 29 (b) 27 (c) 28 (d) 30
  26. 26.What is the average of all the whole numbers from 46 to 60? (a) 14 (b) 54 (c) 7 (d) 53
  27. 27.What is the average of 59, 39, 41, 58 and 33? (a) 45 (b) 47 (c) 48 (d) 46
  28. 28.What is the average of 47, 46, 26, 27, 46 and 48? (a) 48 (b) 39 (c) 41 (d) 40
  29. 29.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 8 (b) 73 (c) 37 (d) 44
  30. 30.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 47 (c) 89 (d) 49
  31. 31.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 5 (c) 25 (d) 4
  32. 32.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 41 (c) 31 (d) 12
  33. 33.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 24 (c) 47 (d) 65
  34. 34.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 40 (c) 36 (d) 24
  35. 35.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) 53 (b) 85 (c) 44 (d) 12
  36. 36.What is the average of 73, 58, 54, 61, 74 and 64? (a) 63 (b) 66 (c) 65 (d) 64
  37. 37.What is the average of 16, 19, 18, 21 and 66? (a) 27 (b) 35 (c) 28 (d) 29
  38. 38.What is the average of 36, 47, 36, 48 and 63? (a) 45 (b) 47 (c) 48 (d) 46
  39. 39.What is the average of 35, 48, 37, 39 and 6? (a) 33 (b) 32 (c) 35 (d) 34
  40. 40.What is the average of all the whole numbers from 33 to 41? (a) 8 (b) 38 (c) 37 (d) 4

Answer key

  1. 73
  2. 24
  3. 30
  4. 72
  5. 35
  6. 65
  7. 47
  8. 27
  9. 52
  10. 67
  11. 68
  12. 26
  13. 76
  14. 40
  15. 29
  16. 80
  17. 36
  18. 59
  19. 28
  20. 15
  21. 58
  22. 59
  23. 35
  24. 52
  25. 28
  26. 53
  27. 46
  28. 40
  29. 44
  30. 89
  31. 4
  32. 41
  33. 65
  34. 40
  35. 53
  36. 64
  37. 28
  38. 46
  39. 33
  40. 37

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