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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 400 · 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.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 111 (c) 62 (d) 56
  2. 2.What is the average of 68, 74, 77, 55, 80 and 54? (a) 68 (b) 69 (c) 67 (d) 70
  3. 3.What is the average of 9, 30, 9, 11, 26 and 47? (a) 23 (b) 24 (c) 22 (d) 21
  4. 4.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 51 (c) 16 (d) 74
  5. 5.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 46 (b) 16 (c) 32 (d) 34
  6. 6.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 48 (b) 28 (c) 34 (d) 70
  7. 7.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 8 (b) 41 (c) 35 (d) 37
  8. 8.What is the average of 32, 49, 41 and 18? (a) 35 (b) 37 (c) 34 (d) 36
  9. 9.What is the average of all the whole numbers from 26 to 46? (a) 20 (b) 37 (c) 36 (d) 10
  10. 10.What is the average of 36, 56, 58 and 30? (a) 45 (b) 44 (c) 46 (d) 60
  11. 11.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 2 (b) 21 (c) 46 (d) 1
  12. 12.What is the average of 60, 74, 64, 83, 74 and 59? (a) 69 (b) 71 (c) 68 (d) 70
  13. 13.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 8 (b) 9 (c) 36 (d) 76
  14. 14.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 56? (a) 56 (b) 58 (c) 66 (d) 12
  15. 15.What is the average of 77, 79, 84, 73 and 37? (a) 70 (b) 72 (c) 69 (d) 71
  16. 16.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 50 (c) 12 (d) 44
  17. 17.What is the average of all the whole numbers from 25 to 59? (a) 34 (b) 43 (c) 42 (d) 17
  18. 18.What is the average of all the whole numbers from 56 to 90? (a) 74 (b) 17 (c) 73 (d) 34
  19. 19.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 12 (b) 83 (c) 43 (d) 52
  20. 20.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 56 (c) 30 (d) 76
  21. 21.What is the average of 63, 65, 91 and 85? (a) 78 (b) 77 (c) 75 (d) 76
  22. 22.What is the average of 41, 51, 47, 47, 62 and 82? (a) 55 (b) 66 (c) 54 (d) 56
  23. 23.What is the average of 56, 55, 69, 52, 66 and 80? (a) 62 (b) 65 (c) 63 (d) 64
  24. 24.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 10 (c) 34 (d) 35
  25. 25.What is the average of 32, 33, 36 and 59? (a) 41 (b) 39 (c) 42 (d) 40
  26. 26.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 52 (b) 77 (c) 40 (d) 15
  27. 27.What is the average of 55, 58, 75, 78, 72 and 76? (a) 70 (b) 69 (c) 71 (d) 68
  28. 28.What is the average of all the whole numbers from 58 to 66? (a) 4 (b) 63 (c) 8 (d) 62
  29. 29.What is the average of all the whole numbers from 32 to 40? (a) 8 (b) 36 (c) 37 (d) 4
  30. 30.What is the average of all the whole numbers from 31 to 55? (a) 43 (b) 12 (c) 44 (d) 24
  31. 31.What is the average of 30, 21, 19, 31, 25 and 72? (a) 34 (b) 35 (c) 33 (d) 32
  32. 32.What is the average of all the whole numbers from 11 to 41? (a) 30 (b) 15 (c) 27 (d) 26
  33. 33.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 16 (c) 47 (d) 59
  34. 34.What is the average of 39, 48, 63, 57, 61 and 20? (a) 48 (b) 50 (c) 47 (d) 49
  35. 35.What is the average of 62, 71, 48 and 55? (a) 61 (b) 59 (c) 58 (d) 60
  36. 36.What is the average of 70, 59, 68, 69 and 69? (a) 66 (b) 69 (c) 68 (d) 67
  37. 37.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 35 (b) 23 (c) 44 (d) 14
  38. 38.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 25 (c) 5 (d) 6
  39. 39.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 15 (b) 21 (c) 27 (d) 33
  40. 40.What is the average of all the whole numbers from 45 to 81? (a) 18 (b) 64 (c) 36 (d) 63

Answer key

  1. 111
  2. 68
  3. 22
  4. 51
  5. 46
  6. 70
  7. 41
  8. 35
  9. 36
  10. 45
  11. 1
  12. 69
  13. 8
  14. 66
  15. 70
  16. 50
  17. 42
  18. 73
  19. 52
  20. 76
  21. 76
  22. 55
  23. 63
  24. 34
  25. 40
  26. 52
  27. 69
  28. 62
  29. 36
  30. 43
  31. 33
  32. 26
  33. 59
  34. 48
  35. 59
  36. 67
  37. 44
  38. 5
  39. 33
  40. 63

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