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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 825 · 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 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 63 (c) 48 (d) 18
  2. 2.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 63 (c) 43 (d) 30
  3. 3.What is the average of all the whole numbers from 16 to 52? (a) 36 (b) 34 (c) 35 (d) 18
  4. 4.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 8 (c) 40 (d) 42
  5. 5.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 47 (b) 22 (c) 10 (d) 11
  6. 6.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 17 (b) 84 (c) 40 (d) 16
  7. 7.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 14 (c) 58 (d) 46
  8. 8.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 77 (b) 22 (c) 21 (d) 36
  9. 9.What is the average of all the whole numbers from 54 to 62? (a) 4 (b) 58 (c) 59 (d) 8
  10. 10.What is the average of 79, 67, 81, 78, 53 and 44? (a) 67 (b) 68 (c) 66 (d) 69
  11. 11.What is the average of 32, 19, 33, 40 and 11? (a) 26 (b) 29 (c) 28 (d) 27
  12. 12.What is the average of 64, 53, 44, 63, 49 and 75? (a) 57 (b) 59 (c) 60 (d) 58
  13. 13.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 20 (b) 68 (c) 63 (d) 78
  14. 14.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 90 (b) 58 (c) 46 (d) 14
  15. 15.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 32 (b) 84 (c) 44 (d) 72
  16. 16.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 96 (b) 38 (c) 47 (d) 37
  17. 17.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 20 (b) 56 (c) 19 (d) 27
  18. 18.What is the average of all the whole numbers from 46 to 78? (a) 63 (b) 62 (c) 16 (d) 32
  19. 19.What is the average of 51, 36, 59, 32 and 52? (a) 45 (b) 47 (c) 46 (d) 48
  20. 20.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 35 (c) 12 (d) 49
  21. 21.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 48 (c) 97 (d) 65
  22. 22.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 25 (b) 70 (c) 24 (d) 34
  23. 23.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 16 (c) 57 (d) 49
  24. 24.What is the average of all the whole numbers from 44 to 84? (a) 40 (b) 65 (c) 20 (d) 64
  25. 25.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 49 (c) 16 (d) 68
  26. 26.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) 94 (b) 33 (c) 45 (d) 34
  27. 27.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 34 (c) 64 (d) 24
  28. 28.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 30 (c) 49 (d) 67
  29. 29.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 60 (b) 24 (c) 76 (d) 40
  30. 30.What is the average of all the whole numbers from 8 to 28? (a) 10 (b) 18 (c) 19 (d) 20
  31. 31.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 30 (b) 43 (c) 81 (d) 68
  32. 32.What is the average of 66, 53, 55, 51, 67 and 32? (a) 55 (b) 53 (c) 54 (d) 56
  33. 33.What is the average of 50, 45, 46, 42, 65 and 70? (a) 53 (b) 52 (c) 55 (d) 54
  34. 34.What is the average of 61, 36, 36, 52, 45 and 46? (a) 48 (b) 46 (c) 45 (d) 47
  35. 35.What is the average of 46, 50, 48, 34 and 42? (a) 55 (b) 45 (c) 43 (d) 44
  36. 36.What is the average of 81, 72, 77, 83, 65 and 48? (a) 71 (b) 72 (c) 70 (d) 73
  37. 37.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 21 (c) 20 (d) 76
  38. 38.What is the average of 68, 75, 76, 68, 65 and 50? (a) 67 (b) 68 (c) 66 (d) 69
  39. 39.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 19 (c) 24 (d) 8
  40. 40.What is the average of all the whole numbers from 29 to 47? (a) 18 (b) 9 (c) 38 (d) 39

Answer key

  1. 63
  2. 63
  3. 34
  4. 46
  5. 10
  6. 16
  7. 58
  8. 21
  9. 58
  10. 67
  11. 27
  12. 58
  13. 78
  14. 58
  15. 72
  16. 37
  17. 19
  18. 62
  19. 46
  20. 35
  21. 97
  22. 24
  23. 57
  24. 64
  25. 49
  26. 33
  27. 54
  28. 67
  29. 60
  30. 18
  31. 68
  32. 54
  33. 53
  34. 46
  35. 44
  36. 71
  37. 20
  38. 67
  39. 19
  40. 38

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