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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 213 · 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 44, 49, 28 and 51? (a) 42 (b) 45 (c) 44 (d) 43
  2. 2.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 26 (c) 59 (d) 25
  3. 3.What is the average of all the whole numbers from 50 to 86? (a) 69 (b) 68 (c) 18 (d) 36
  4. 4.What is the average of all the whole numbers from 28 to 34? (a) 3 (b) 31 (c) 6 (d) 32
  5. 5.What is the average of 78, 79, 55, 60 and 73? (a) 70 (b) 69 (c) 71 (d) 68
  6. 6.What is the average of 51, 45, 62, 51, 57 and 94? (a) 59 (b) 61 (c) 72 (d) 60
  7. 7.What is the average of 61, 70, 63, 70, 58 and 14? (a) 58 (b) 57 (c) 55 (d) 56
  8. 8.What is the average of all the whole numbers from 8 to 40? (a) 32 (b) 25 (c) 24 (d) 16
  9. 9.What is the average of 54, 44, 43, 42 and 67? (a) 49 (b) 52 (c) 51 (d) 50
  10. 10.What is the average of all the whole numbers from 18 to 38? (a) 29 (b) 28 (c) 20 (d) 10
  11. 11.What is the average of 52, 71, 64, 76 and 57? (a) 63 (b) 80 (c) 64 (d) 65
  12. 12.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 61 (c) 69 (d) 12
  13. 13.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) 102 (b) 49 (c) 22 (d) 21
  14. 14.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 76 (b) 45 (c) 40 (d) 75
  15. 15.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 18 (b) 17 (c) 45 (d) 22
  16. 16.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 31? (a) 72 (b) 31 (c) 39 (d) 95
  17. 17.What is the average of all the whole numbers from 42 to 48? (a) 6 (b) 45 (c) 3 (d) 46
  18. 18.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 14 (b) 34 (c) 46 (d) 36
  19. 19.What is the average of 73, 52, 63 and 44? (a) 57 (b) 60 (c) 59 (d) 58
  20. 20.What is the average of all the whole numbers from 8 to 24? (a) 15 (b) 17 (c) 16 (d) 8
  21. 21.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 33 (b) 45 (c) 34 (d) 94
  22. 22.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 10 (b) 25 (c) 30 (d) 15
  23. 23.What is the average of 44, 42, 40 and 94? (a) 56 (b) 55 (c) 57 (d) 54
  24. 24.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 75 (b) 15 (c) 66 (d) 63
  25. 25.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 35 (c) 8 (d) 42
  26. 26.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 48 (c) 16 (d) 36
  27. 27.What is the average of all the whole numbers from 48 to 76? (a) 63 (b) 14 (c) 28 (d) 62
  28. 28.What is the average of 75, 67, 80, 84 and 94? (a) 100 (b) 79 (c) 80 (d) 81
  29. 29.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 80 (b) 81 (c) 40 (d) 48
  30. 30.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 110 (b) 65 (c) 50 (d) 70
  31. 31.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 30 (b) 71 (c) 65 (d) 89
  32. 32.What is the average of all the whole numbers from 20 to 38? (a) 9 (b) 18 (c) 29 (d) 30
  33. 33.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 43 (b) 58 (c) 20 (d) 81
  34. 34.What is the average of 20, 12, 14, 33, 14 and 27? (a) 24 (b) 21 (c) 19 (d) 20
  35. 35.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 89 (d) 60
  36. 36.What is the average of all the whole numbers from 38 to 60? (a) 11 (b) 50 (c) 22 (d) 49
  37. 37.What is the average of 66, 84, 70, 62, 81 and 63? (a) 72 (b) 73 (c) 71 (d) 70
  38. 38.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 80 (c) 58 (d) 122
  39. 39.What is the average of 59, 42, 64 and 63? (a) 76 (b) 56 (c) 57 (d) 58
  40. 40.What is the average of 28, 25, 41 and 42? (a) 33 (b) 36 (c) 35 (d) 34

Answer key

  1. 43
  2. 25
  3. 68
  4. 31
  5. 69
  6. 60
  7. 56
  8. 24
  9. 50
  10. 28
  11. 64
  12. 69
  13. 21
  14. 75
  15. 17
  16. 95
  17. 45
  18. 46
  19. 58
  20. 16
  21. 33
  22. 30
  23. 55
  24. 75
  25. 42
  26. 48
  27. 62
  28. 80
  29. 80
  30. 110
  31. 89
  32. 29
  33. 58
  34. 20
  35. 89
  36. 49
  37. 71
  38. 122
  39. 57
  40. 34

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