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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 117 · 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 all the whole numbers from 12 to 18? (a) 16 (b) 6 (c) 3 (d) 15
  2. 2.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 27 (b) 68 (c) 44 (d) 47
  3. 3.What is the average of all the whole numbers from 56 to 80? (a) 12 (b) 69 (c) 24 (d) 68
  4. 4.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 62 (b) 15 (c) 50 (d) 97
  5. 5.What is the average of 81, 83, 76 and 80? (a) 81 (b) 80 (c) 82 (d) 79
  6. 6.What is the average of 52, 39, 35, 28, 29 and 51? (a) 41 (b) 38 (c) 39 (d) 40
  7. 7.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 18 (c) 39 (d) 36
  8. 8.What is the average of all the whole numbers from 47 to 57? (a) 52 (b) 10 (c) 5 (d) 53
  9. 9.What is the average of all the whole numbers from 34 to 52? (a) 18 (b) 44 (c) 9 (d) 43
  10. 10.What is the average of all the whole numbers from 22 to 32? (a) 28 (b) 10 (c) 5 (d) 27
  11. 11.What is the average of 61, 58, 76, 62 and 98? (a) 73 (b) 71 (c) 72 (d) 70
  12. 12.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 44 (b) 29 (c) 91 (d) 30
  13. 13.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 33 (c) 24 (d) 51
  14. 14.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 57 (b) 31 (c) 46 (d) 20
  15. 15.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 66 (c) 115 (d) 56
  16. 16.What is the average of 36, 31, 29, 45, 39 and 78? (a) 44 (b) 43 (c) 42 (d) 45
  17. 17.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 28 (c) 25 (d) 24
  18. 18.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 46? (a) 46 (b) 32 (c) 54 (d) 70
  19. 19.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 46 (c) 30 (d) 37
  20. 20.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 73 (b) 10 (c) 34 (d) 9
  21. 21.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 40? (a) 42 (b) 54 (c) 40 (d) 16
  22. 22.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 40 (b) 63 (c) 58 (d) 93
  23. 23.What is the average of all the whole numbers from 23 to 29? (a) 27 (b) 6 (c) 3 (d) 26
  24. 24.What is the average of all the whole numbers from 15 to 39? (a) 24 (b) 28 (c) 12 (d) 27
  25. 25.What is the average of 52, 59, 44, 59, 47 and 87? (a) 60 (b) 59 (c) 58 (d) 57
  26. 26.What is the average of 51, 35, 46, 36 and 72? (a) 48 (b) 60 (c) 49 (d) 47
  27. 27.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 83 (c) 18 (d) 58
  28. 28.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 19 (c) 18 (d) 48
  29. 29.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 29 (b) 24 (c) 55 (d) 50
  30. 30.What is the average of all the whole numbers from 47 to 87? (a) 20 (b) 67 (c) 40 (d) 68
  31. 31.What is the average of 49, 77, 59, 77, 58 and 58? (a) 63 (b) 64 (c) 62 (d) 65
  32. 32.What is the average of 62, 48, 54, 51 and 80? (a) 60 (b) 61 (c) 59 (d) 58
  33. 33.What is the average of all the whole numbers from 14 to 44? (a) 30 (b) 29 (c) 15 (d) 28
  34. 34.What is the average of all the whole numbers from 15 to 53? (a) 35 (b) 38 (c) 19 (d) 34
  35. 35.What is the average of 11, 14, 36 and 35? (a) 24 (b) 25 (c) 23 (d) 32
  36. 36.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 63 (c) 36 (d) 5
  37. 37.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 16 (b) 30 (c) 26 (d) 12
  38. 38.What is the average of all the whole numbers from 12 to 42? (a) 30 (b) 27 (c) 28 (d) 15
  39. 39.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 22 (b) 23 (c) 72 (d) 34
  40. 40.What is the average of all the whole numbers from 19 to 29? (a) 10 (b) 25 (c) 5 (d) 24

Answer key

  1. 15
  2. 68
  3. 68
  4. 62
  5. 80
  6. 39
  7. 36
  8. 52
  9. 43
  10. 27
  11. 71
  12. 29
  13. 51
  14. 46
  15. 115
  16. 43
  17. 24
  18. 70
  19. 46
  20. 9
  21. 54
  22. 93
  23. 26
  24. 27
  25. 58
  26. 48
  27. 58
  28. 18
  29. 50
  30. 67
  31. 63
  32. 59
  33. 29
  34. 34
  35. 24
  36. 36
  37. 26
  38. 27
  39. 22
  40. 24

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