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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 159 · 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 77, 67, 69, 56 and 86? (a) 70 (b) 72 (c) 71 (d) 73
  2. 2.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) 18 (b) 43 (c) 58 (d) 83
  3. 3.What is the average of all the whole numbers from 43 to 81? (a) 38 (b) 63 (c) 19 (d) 62
  4. 4.What is the average of 84, 83, 69, 77 and 62? (a) 77 (b) 76 (c) 75 (d) 74
  5. 5.What is the average of all the whole numbers from 52 to 72? (a) 20 (b) 63 (c) 62 (d) 10
  6. 6.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 70 (b) 14 (c) 13 (d) 33
  7. 7.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 68 (c) 103 (d) 49
  8. 8.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 72 (c) 114 (d) 56
  9. 9.What is the average of all the whole numbers from 17 to 57? (a) 38 (b) 40 (c) 20 (d) 37
  10. 10.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 18 (b) 55 (c) 43 (d) 40
  11. 11.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 38 (c) 63 (d) 71
  12. 12.What is the average of 17, 13, 8, 23 and 39? (a) 25 (b) 21 (c) 20 (d) 19
  13. 13.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 12 (b) 33 (c) 18 (d) 27
  14. 14.What is the average of all the whole numbers from 36 to 44? (a) 40 (b) 41 (c) 8 (d) 4
  15. 15.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 56 (b) 36 (c) 28 (d) 24
  16. 16.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 30 (c) 34 (d) 28
  17. 17.What is the average of all the whole numbers from 6 to 16? (a) 11 (b) 5 (c) 12 (d) 10
  18. 18.What is the average of 36, 40, 31, 57 and 61? (a) 44 (b) 47 (c) 45 (d) 46
  19. 19.What is the average of 55, 57, 41, 37 and 55? (a) 48 (b) 50 (c) 51 (d) 49
  20. 20.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 43 (c) 59 (d) 20
  21. 21.What is the average of 38, 27, 43 and 40? (a) 39 (b) 36 (c) 37 (d) 38
  22. 22.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 42 (c) 7 (d) 71
  23. 23.What is the average of all the whole numbers from 52 to 84? (a) 16 (b) 69 (c) 68 (d) 32
  24. 24.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 62 (c) 74 (d) 14
  25. 25.What is the average of all the whole numbers from 57 to 75? (a) 67 (b) 18 (c) 9 (d) 66
  26. 26.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 10 (b) 45 (c) 43 (d) 51
  27. 27.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 103 (c) 102 (d) 60
  28. 28.What is the average of 65, 71, 70, 58, 64 and 44? (a) 61 (b) 62 (c) 63 (d) 64
  29. 29.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 18 (c) 15 (d) 4
  30. 30.What is the average of 41, 57, 44, 45 and 63? (a) 50 (b) 52 (c) 51 (d) 49
  31. 31.What is the average of 42, 33, 38 and 31? (a) 36 (b) 48 (c) 37 (d) 35
  32. 32.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 32 (b) 90 (c) 74 (d) 66
  33. 33.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 25 (b) 39 (c) 34 (d) 54
  34. 34.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 46? (a) 58 (b) 46 (c) 49 (d) 15
  35. 35.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 8 (c) 29 (d) 7
  36. 36.What is the average of all the whole numbers from 26 to 60? (a) 43 (b) 44 (c) 34 (d) 17
  37. 37.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 93 (b) 36 (c) 37 (d) 45
  38. 38.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 77 (b) 23 (c) 22 (d) 37
  39. 39.What is the average of all the whole numbers from 49 to 55? (a) 6 (b) 53 (c) 3 (d) 52
  40. 40.What is the average of 13, 31, 33 and 7? (a) 22 (b) 28 (c) 21 (d) 20

Answer key

  1. 71
  2. 58
  3. 62
  4. 75
  5. 62
  6. 13
  7. 103
  8. 114
  9. 37
  10. 55
  11. 63
  12. 20
  13. 27
  14. 40
  15. 56
  16. 52
  17. 11
  18. 45
  19. 49
  20. 59
  21. 37
  22. 42
  23. 68
  24. 74
  25. 66
  26. 51
  27. 102
  28. 62
  29. 18
  30. 50
  31. 36
  32. 90
  33. 54
  34. 58
  35. 7
  36. 43
  37. 36
  38. 22
  39. 52
  40. 21

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