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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 749 · 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.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 40 (c) 46 (d) 8
  2. 2.What is the average of 32, 25, 34, 34, 11 and 2? (a) 24 (b) 25 (c) 22 (d) 23
  3. 3.What is the average of 62, 88, 67 and 79? (a) 73 (b) 74 (c) 76 (d) 75
  4. 4.What is the average of 75, 74, 66, 61 and 24? (a) 59 (b) 60 (c) 61 (d) 75
  5. 5.What is the average of all the whole numbers from 34 to 40? (a) 6 (b) 37 (c) 38 (d) 3
  6. 6.What is the average of 17, 36, 18 and 25? (a) 23 (b) 25 (c) 24 (d) 32
  7. 7.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 53 (b) 29 (c) 44 (d) 20
  8. 8.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 26 (c) 36 (d) 14
  9. 9.What is the average of 69, 41, 54 and 60? (a) 58 (b) 56 (c) 57 (d) 55
  10. 10.What is the average of 69, 65, 59, 55 and 87? (a) 68 (b) 66 (c) 67 (d) 69
  11. 11.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 22 (b) 21 (c) 28 (d) 57
  12. 12.What is the average of 35, 17, 46 and 30? (a) 31 (b) 32 (c) 33 (d) 34
  13. 13.What is the average of all the whole numbers from 40 to 72? (a) 16 (b) 32 (c) 56 (d) 57
  14. 14.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 18 (c) 28 (d) 19
  15. 15.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 63 (c) 86 (d) 37
  16. 16.What is the average of all the whole numbers from 30 to 64? (a) 34 (b) 47 (c) 17 (d) 48
  17. 17.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 38 (c) 36 (d) 70
  18. 18.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 102 (b) 45 (c) 44 (d) 50
  19. 19.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 9 (b) 37 (c) 10 (d) 78
  20. 20.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 17 (c) 28 (d) 41
  21. 21.What is the average of 51, 69, 54 and 86? (a) 66 (b) 65 (c) 64 (d) 67
  22. 22.What is the average of all the whole numbers from 49 to 85? (a) 18 (b) 68 (c) 67 (d) 36
  23. 23.What is the average of 41, 33, 20 and 42? (a) 35 (b) 33 (c) 36 (d) 34
  24. 24.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 22 (b) 49 (c) 21 (d) 102
  25. 25.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 104 (b) 48 (c) 62 (d) 68
  26. 26.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 21 (b) 12 (c) 31 (d) 30
  27. 27.What is the average of 44, 28, 43, 36 and 29? (a) 35 (b) 45 (c) 36 (d) 37
  28. 28.What is the average of 71, 69, 53 and 67? (a) 67 (b) 64 (c) 65 (d) 66
  29. 29.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 14 (c) 36 (d) 48
  30. 30.What is the average of all the whole numbers from 22 to 30? (a) 8 (b) 26 (c) 27 (d) 4
  31. 31.What is the average of 61, 67, 65 and 87? (a) 69 (b) 72 (c) 71 (d) 70
  32. 32.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 36 (b) 64 (c) 68 (d) 96
  33. 33.What is the average of 55, 63, 48 and 86? (a) 62 (b) 63 (c) 64 (d) 84
  34. 34.What is the average of 27, 19, 18 and 44? (a) 28 (b) 26 (c) 27 (d) 36
  35. 35.What is the average of all the whole numbers from 15 to 33? (a) 24 (b) 25 (c) 9 (d) 18
  36. 36.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 35 (b) 13 (c) 43 (d) 21
  37. 37.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 79 (b) 35 (c) 34 (d) 39
  38. 38.What is the average of 58, 52, 53, 52, 65 and 38? (a) 52 (b) 55 (c) 54 (d) 53
  39. 39.What is the average of all the whole numbers from 25 to 59? (a) 42 (b) 43 (c) 17 (d) 34
  40. 40.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 72 (c) 36 (d) 42

Answer key

  1. 46
  2. 23
  3. 74
  4. 60
  5. 37
  6. 24
  7. 44
  8. 36
  9. 56
  10. 67
  11. 21
  12. 32
  13. 56
  14. 18
  15. 86
  16. 47
  17. 70
  18. 44
  19. 9
  20. 41
  21. 65
  22. 67
  23. 34
  24. 21
  25. 104
  26. 30
  27. 36
  28. 65
  29. 48
  30. 26
  31. 70
  32. 96
  33. 63
  34. 27
  35. 24
  36. 43
  37. 34
  38. 53
  39. 42
  40. 72

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