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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 641 · 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 57 to 73? (a) 66 (b) 65 (c) 8 (d) 16
  2. 2.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 11 (c) 39 (d) 32
  3. 3.What is the average of all the whole numbers from 18 to 28? (a) 23 (b) 24 (c) 5 (d) 10
  4. 4.What is the average of 69, 83, 60, 70, 82 and 50? (a) 69 (b) 71 (c) 70 (d) 68
  5. 5.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) 62 (c) 48 (d) 68
  6. 6.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 63 (c) 39 (d) 30
  7. 7.What is the average of 24, 36, 24, 27, 28 and 11? (a) 26 (b) 25 (c) 24 (d) 30
  8. 8.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 35 (c) 65 (d) 42
  9. 9.What is the average of all the whole numbers from 19 to 47? (a) 33 (b) 28 (c) 14 (d) 34
  10. 10.What is the average of 51, 65, 63, 62 and 9? (a) 51 (b) 50 (c) 49 (d) 52
  11. 11.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 48? (a) 48 (b) 54 (c) 102 (d) 60
  12. 12.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 59 (c) 28 (d) 66
  13. 13.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 24 (c) 30 (d) 23
  14. 14.What is the average of 72, 86, 59 and 67? (a) 73 (b) 70 (c) 71 (d) 72
  15. 15.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 52? (a) 84 (b) 56 (c) 52 (d) 36
  16. 16.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 47 (c) 95 (d) 44
  17. 17.What is the average of 62, 43, 50, 42, 43 and 102? (a) 56 (b) 57 (c) 59 (d) 58
  18. 18.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 31 (b) 58 (c) 28 (d) 55
  19. 19.What is the average of all the whole numbers from 16 to 52? (a) 35 (b) 36 (c) 18 (d) 34
  20. 20.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 8 (c) 33 (d) 29
  21. 21.What is the average of 33, 9, 22 and 32? (a) 32 (b) 23 (c) 24 (d) 25
  22. 22.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 40 (c) 43 (d) 75
  23. 23.What is the average of 37, 61, 40, 52 and 65? (a) 50 (b) 53 (c) 52 (d) 51
  24. 24.What is the average of all the whole numbers from 49 to 69? (a) 59 (b) 10 (c) 60 (d) 20
  25. 25.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 30 (c) 66 (d) 77
  26. 26.What is the average of 80, 71, 71 and 50? (a) 67 (b) 69 (c) 70 (d) 68
  27. 27.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 58? (a) 20 (b) 74 (c) 58 (d) 62
  28. 28.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 63 (b) 29 (c) 5 (d) 4
  29. 29.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 33 (c) 40 (d) 32
  30. 30.What is the average of all the whole numbers from 37 to 53? (a) 46 (b) 8 (c) 45 (d) 16
  31. 31.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 44 (b) 46 (c) 45 (d) 25
  32. 32.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 78 (b) 22 (c) 37 (d) 21
  33. 33.What is the average of all the whole numbers from 5 to 13? (a) 4 (b) 10 (c) 8 (d) 9
  34. 34.What is the average of all the whole numbers from 38 to 74? (a) 56 (b) 18 (c) 57 (d) 36
  35. 35.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 35 (c) 47 (d) 15
  36. 36.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 55 (b) 47 (c) 12 (d) 45
  37. 37.What is the average of 55, 64, 67 and 70? (a) 64 (b) 65 (c) 66 (d) 63
  38. 38.What is the average of 34, 54, 27, 38 and 52? (a) 40 (b) 42 (c) 43 (d) 41
  39. 39.What is the average of 30, 45, 29, 42, 31 and 3? (a) 31 (b) 36 (c) 29 (d) 30
  40. 40.What is the average of 12, 22, 12, 12, 29 and 39? (a) 22 (b) 21 (c) 20 (d) 23

Answer key

  1. 65
  2. 39
  3. 23
  4. 69
  5. 104
  6. 63
  7. 25
  8. 65
  9. 33
  10. 50
  11. 102
  12. 59
  13. 23
  14. 71
  15. 84
  16. 44
  17. 57
  18. 55
  19. 34
  20. 33
  21. 24
  22. 75
  23. 51
  24. 59
  25. 66
  26. 68
  27. 74
  28. 4
  29. 32
  30. 45
  31. 45
  32. 21
  33. 9
  34. 56
  35. 47
  36. 55
  37. 64
  38. 41
  39. 30
  40. 21

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