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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 523 · 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 66, 51, 63 and 32? (a) 53 (b) 55 (c) 52 (d) 54
  2. 2.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 67 (c) 90 (d) 24
  3. 3.What is the average of all the whole numbers from 8 to 18? (a) 13 (b) 10 (c) 5 (d) 14
  4. 4.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 28 (c) 24 (d) 8
  5. 5.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 28 (b) 13 (c) 21 (d) 20
  6. 6.What is the average of 69, 62, 57 and 64? (a) 63 (b) 84 (c) 62 (d) 64
  7. 7.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 28 (c) 15 (d) 8
  8. 8.What is the average of all the whole numbers from 25 to 35? (a) 30 (b) 31 (c) 5 (d) 10
  9. 9.What is the average of 52, 35, 54, 38, 46 and 27? (a) 43 (b) 44 (c) 42 (d) 41
  10. 10.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 24 (b) 42 (c) 21 (d) 45
  11. 11.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 40 (c) 32 (d) 12
  12. 12.What is the average of all the whole numbers from 14 to 20? (a) 18 (b) 6 (c) 3 (d) 17
  13. 13.What is the average of all the whole numbers from 55 to 63? (a) 8 (b) 60 (c) 4 (d) 59
  14. 14.What is the average of 67, 58, 60 and 91? (a) 92 (b) 68 (c) 69 (d) 70
  15. 15.What is the average of all the whole numbers from 6 to 46? (a) 40 (b) 20 (c) 27 (d) 26
  16. 16.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 9 (b) 11 (c) 8 (d) 23
  17. 17.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 75 (b) 18 (c) 19 (d) 36
  18. 18.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 79 (c) 25 (d) 59
  19. 19.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 44? (a) 44 (b) 47 (c) 15 (d) 56
  20. 20.What is the average of all the whole numbers from 38 to 74? (a) 56 (b) 18 (c) 36 (d) 57
  21. 21.What is the average of 34, 37, 59, 38 and 62? (a) 47 (b) 48 (c) 46 (d) 45
  22. 22.What is the average of 55, 62, 75, 67 and 86? (a) 70 (b) 69 (c) 71 (d) 68
  23. 23.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 83 (c) 19 (d) 20
  24. 24.What is the average of 65, 68, 90 and 77? (a) 76 (b) 100 (c) 74 (d) 75
  25. 25.What is the average of all the whole numbers from 12 to 24? (a) 18 (b) 12 (c) 19 (d) 6
  26. 26.What is the average of 90, 80, 67 and 75? (a) 104 (b) 79 (c) 77 (d) 78
  27. 27.What is the average of 52, 61, 55, 57, 78 and 93? (a) 67 (b) 66 (c) 68 (d) 65
  28. 28.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 107 (c) 56 (d) 65
  29. 29.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 23 (c) 16 (d) 11
  30. 30.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 55 (b) 45 (c) 43 (d) 14
  31. 31.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 96 (b) 10 (c) 49 (d) 57
  32. 32.What is the average of all the whole numbers from 16 to 42? (a) 30 (b) 26 (c) 29 (d) 13
  33. 33.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 55 (c) 32 (d) 50
  34. 34.What is the average of all the whole numbers from 60 to 90? (a) 15 (b) 75 (c) 76 (d) 30
  35. 35.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 8 (d) 58
  36. 36.What is the average of all the whole numbers from 53 to 85? (a) 70 (b) 32 (c) 69 (d) 16
  37. 37.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 36 (c) 29 (d) 57
  38. 38.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 56 (b) 39 (c) 88 (d) 46
  39. 39.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 72 (c) 51 (d) 115
  40. 40.What is the average of 33, 28, 38 and 73? (a) 43 (b) 42 (c) 44 (d) 45

Answer key

  1. 53
  2. 67
  3. 13
  4. 28
  5. 28
  6. 63
  7. 21
  8. 30
  9. 42
  10. 42
  11. 40
  12. 17
  13. 59
  14. 69
  15. 26
  16. 8
  17. 18
  18. 79
  19. 56
  20. 56
  21. 46
  22. 69
  23. 19
  24. 75
  25. 18
  26. 78
  27. 66
  28. 107
  29. 23
  30. 55
  31. 57
  32. 29
  33. 55
  34. 75
  35. 58
  36. 69
  37. 57
  38. 88
  39. 115
  40. 43

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