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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 158 · 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 38, 36, 21, 24 and 41? (a) 31 (b) 40 (c) 33 (d) 32
  2. 2.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 12 (b) 42 (c) 50 (d) 40
  3. 3.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 4 (c) 48 (d) 45
  4. 4.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 60 (b) 40 (c) 56 (d) 92
  5. 5.What is the average of all the whole numbers from 10 to 42? (a) 16 (b) 32 (c) 26 (d) 27
  6. 6.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 73 (d) 24
  7. 7.What is the average of all the whole numbers from 42 to 74? (a) 58 (b) 32 (c) 59 (d) 16
  8. 8.What is the average of 41, 34, 48, 47, 39 and 49? (a) 45 (b) 43 (c) 42 (d) 44
  9. 9.What is the average of 49, 59, 70 and 74? (a) 62 (b) 84 (c) 63 (d) 64
  10. 10.What is the average of 13, 38, 22, 43, 35 and 17? (a) 28 (b) 30 (c) 27 (d) 29
  11. 11.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 23 (c) 30 (d) 39
  12. 12.What is the average of 59, 78, 55 and 72? (a) 67 (b) 88 (c) 66 (d) 65
  13. 13.What is the average of 44, 39, 21 and 20? (a) 33 (b) 30 (c) 32 (d) 31
  14. 14.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 39 (c) 42 (d) 4
  15. 15.What is the average of all the whole numbers from 57 to 63? (a) 3 (b) 6 (c) 60 (d) 61
  16. 16.What is the average of 27, 44, 21, 31, 38 and 31? (a) 33 (b) 34 (c) 32 (d) 31
  17. 17.What is the average of all the whole numbers from 48 to 60? (a) 55 (b) 6 (c) 12 (d) 54
  18. 18.What is the average of 32, 29, 53 and 54? (a) 41 (b) 56 (c) 43 (d) 42
  19. 19.What is the average of all the whole numbers from 49 to 73? (a) 62 (b) 12 (c) 61 (d) 24
  20. 20.What is the average of 58, 42, 68, 55 and 47? (a) 55 (b) 54 (c) 56 (d) 53
  21. 21.What is the average of 70, 67, 76, 70, 73 and 34? (a) 64 (b) 65 (c) 78 (d) 66
  22. 22.What is the average of 33, 23, 35, 50, 28 and 41? (a) 35 (b) 42 (c) 34 (d) 36
  23. 23.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 30 (c) 84 (d) 59
  24. 24.What is the average of 63, 53, 55, 58, 64 and 49? (a) 59 (b) 58 (c) 56 (d) 57
  25. 25.What is the average of 55, 37, 31, 58, 54 and 29? (a) 46 (b) 45 (c) 44 (d) 43
  26. 26.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 33 (b) 103 (c) 50 (d) 32
  27. 27.What is the average of 56, 46, 62, 57, 64 and 81? (a) 63 (b) 62 (c) 60 (d) 61
  28. 28.What is the average of 44, 56, 40, 59 and 61? (a) 65 (b) 52 (c) 53 (d) 51
  29. 29.What is the average of all the whole numbers from 28 to 40? (a) 12 (b) 6 (c) 34 (d) 35
  30. 30.What is the average of 63, 77, 80, 80 and 60? (a) 72 (b) 73 (c) 90 (d) 71
  31. 31.What is the average of 47, 48, 71 and 58? (a) 58 (b) 55 (c) 56 (d) 57
  32. 32.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 76 (b) 56 (c) 61 (d) 25
  33. 33.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 17 (b) 29 (c) 18 (d) 62
  34. 34.What is the average of all the whole numbers from 28 to 48? (a) 20 (b) 10 (c) 39 (d) 38
  35. 35.What is the average of all the whole numbers from 6 to 36? (a) 30 (b) 21 (c) 15 (d) 22
  36. 36.What is the average of 34, 40, 38, 34, 24 and 58? (a) 39 (b) 38 (c) 40 (d) 37
  37. 37.What is the average of all the whole numbers from 12 to 34? (a) 24 (b) 11 (c) 22 (d) 23
  38. 38.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 2 (c) 1 (d) 25
  39. 39.What is the average of all the whole numbers from 41 to 69? (a) 14 (b) 28 (c) 55 (d) 56
  40. 40.What is the average of 66, 82, 89, 80 and 68? (a) 78 (b) 79 (c) 77 (d) 76

Answer key

  1. 32
  2. 50
  3. 48
  4. 92
  5. 26
  6. 73
  7. 58
  8. 43
  9. 63
  10. 28
  11. 39
  12. 66
  13. 31
  14. 42
  15. 60
  16. 32
  17. 54
  18. 42
  19. 61
  20. 54
  21. 65
  22. 35
  23. 84
  24. 57
  25. 44
  26. 32
  27. 61
  28. 52
  29. 34
  30. 72
  31. 56
  32. 76
  33. 17
  34. 38
  35. 21
  36. 38
  37. 23
  38. 1
  39. 55
  40. 77

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