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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 86 · 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.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 54 (c) 105 (d) 63
  2. 2.What is the average of 47, 45, 21, 19 and 33? (a) 34 (b) 35 (c) 33 (d) 32
  3. 3.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 24 (c) 51 (d) 6
  4. 4.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 20 (b) 95 (c) 65 (d) 50
  5. 5.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 24 (b) 65 (c) 77 (d) 59
  6. 6.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 7 (b) 51 (c) 26 (d) 32
  7. 7.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 50 (c) 68 (d) 24
  8. 8.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 60 (c) 25 (d) 40
  9. 9.What is the average of 70, 68, 64, 46 and 47? (a) 58 (b) 61 (c) 60 (d) 59
  10. 10.What is the average of 39, 53, 48 and 64? (a) 52 (b) 68 (c) 50 (d) 51
  11. 11.What is the average of 69, 60, 61, 63, 56 and 81? (a) 78 (b) 66 (c) 65 (d) 64
  12. 12.What is the average of 45, 50, 37, 61 and 57? (a) 51 (b) 50 (c) 52 (d) 49
  13. 13.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 21 (b) 33 (c) 14 (d) 40
  14. 14.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 23? (a) 23 (b) 12 (c) 32 (d) 26
  15. 15.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 35 (b) 43 (c) 68 (d) 38
  16. 16.What is the average of 56, 52, 44, 59, 38 and 45? (a) 49 (b) 48 (c) 50 (d) 51
  17. 17.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 68 (c) 69 (d) 36
  18. 18.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 25 (b) 24 (c) 27 (d) 55
  19. 19.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 40? (a) 54 (b) 46 (c) 88 (d) 40
  20. 20.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 60 (c) 95 (d) 45
  21. 21.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 6 (b) 23 (c) 7 (d) 11
  22. 22.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 40 (c) 60 (d) 92
  23. 23.What is the average of 32, 12, 32, 41 and 13? (a) 27 (b) 28 (c) 26 (d) 25
  24. 24.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 33 (b) 86 (c) 32 (d) 42
  25. 25.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 72 (b) 27 (c) 50 (d) 32
  26. 26.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 20 (b) 64 (c) 52 (d) 48
  27. 27.What is the average of all the whole numbers from 56 to 96? (a) 77 (b) 40 (c) 20 (d) 76
  28. 28.What is the average of all the whole numbers from 60 to 72? (a) 6 (b) 67 (c) 12 (d) 66
  29. 29.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 40 (b) 62 (c) 10 (d) 32
  30. 30.What is the average of 33, 17, 18, 29 and 63? (a) 31 (b) 32 (c) 33 (d) 40
  31. 31.What is the average of all the whole numbers from 37 to 63? (a) 51 (b) 50 (c) 13 (d) 26
  32. 32.What is the average of 59, 58, 55, 84, 54 and 104? (a) 71 (b) 70 (c) 68 (d) 69
  33. 33.What is the average of all the whole numbers from 40 to 72? (a) 16 (b) 56 (c) 32 (d) 57
  34. 34.What is the average of 57, 61, 57, 42, 55 and 4? (a) 47 (b) 46 (c) 45 (d) 48
  35. 35.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 68 (c) 14 (d) 47
  36. 36.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 56 (c) 44 (d) 84
  37. 37.What is the average of all the whole numbers from 51 to 57? (a) 54 (b) 55 (c) 6 (d) 3
  38. 38.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 50 (b) 82 (c) 10 (d) 42
  39. 39.What is the average of 47, 41, 49, 39 and 64? (a) 47 (b) 48 (c) 60 (d) 49
  40. 40.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 34 (b) 48 (c) 99 (d) 33

Answer key

  1. 105
  2. 33
  3. 6
  4. 65
  5. 77
  6. 32
  7. 68
  8. 60
  9. 59
  10. 51
  11. 65
  12. 50
  13. 33
  14. 32
  15. 68
  16. 49
  17. 68
  18. 24
  19. 88
  20. 95
  21. 6
  22. 92
  23. 26
  24. 32
  25. 72
  26. 64
  27. 76
  28. 66
  29. 40
  30. 32
  31. 50
  32. 69
  33. 56
  34. 46
  35. 47
  36. 84
  37. 54
  38. 50
  39. 48
  40. 33

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