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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 636 · 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 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 66 (b) 39 (c) 30 (d) 42
  2. 2.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 7 (c) 47 (d) 8
  3. 3.What is the average of 53, 48, 39 and 32? (a) 45 (b) 44 (c) 42 (d) 43
  4. 4.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 20 (c) 46 (d) 56
  5. 5.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 97 (b) 52 (c) 4 (d) 49
  6. 6.What is the average of all the whole numbers from 20 to 44? (a) 24 (b) 12 (c) 33 (d) 32
  7. 7.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 34 (c) 54 (d) 30
  8. 8.What is the average of 77, 67, 66, 47, 72 and 43? (a) 63 (b) 61 (c) 64 (d) 62
  9. 9.What is the average of 47, 60, 47 and 42? (a) 50 (b) 51 (c) 48 (d) 49
  10. 10.What is the average of 67, 53, 46, 66 and 38? (a) 53 (b) 54 (c) 56 (d) 55
  11. 11.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 76 (b) 62 (c) 60 (d) 18
  12. 12.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 49 (c) 25 (d) 34
  13. 13.What is the average of all the whole numbers from 9 to 43? (a) 26 (b) 34 (c) 27 (d) 17
  14. 14.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 58 (c) 38 (d) 28
  15. 15.What is the average of all the whole numbers from 5 to 37? (a) 21 (b) 16 (c) 22 (d) 32
  16. 16.What is the average of 62, 44, 63 and 59? (a) 56 (b) 58 (c) 57 (d) 76
  17. 17.What is the average of all the whole numbers from 47 to 57? (a) 10 (b) 5 (c) 52 (d) 53
  18. 18.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 27 (b) 82 (c) 28 (d) 39
  19. 19.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 13 (c) 41 (d) 14
  20. 20.What is the average of all the whole numbers from 57 to 69? (a) 64 (b) 6 (c) 63 (d) 12
  21. 21.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 5 (c) 45 (d) 89
  22. 22.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 31? (a) 34 (b) 18 (c) 46 (d) 31
  23. 23.What is the average of 56, 41, 39 and 48? (a) 48 (b) 46 (c) 45 (d) 47
  24. 24.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 31 (b) 24 (c) 18 (d) 11
  25. 25.What is the average of 40, 45, 32 and 3? (a) 31 (b) 30 (c) 29 (d) 40
  26. 26.What is the average of 69, 72, 71 and 44? (a) 63 (b) 66 (c) 64 (d) 65
  27. 27.What is the average of 33, 20, 19, 17, 32 and 65? (a) 31 (b) 30 (c) 33 (d) 32
  28. 28.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 98 (b) 64 (c) 50 (d) 42
  29. 29.What is the average of all the whole numbers from 55 to 89? (a) 34 (b) 72 (c) 17 (d) 73
  30. 30.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 20 (b) 19 (c) 49 (d) 24
  31. 31.What is the average of 67, 64, 60, 65 and 59? (a) 63 (b) 64 (c) 62 (d) 65
  32. 32.What is the average of 26, 18, 15, 32, 17 and 48? (a) 28 (b) 26 (c) 25 (d) 27
  33. 33.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 28 (c) 82 (d) 68
  34. 34.What is the average of all the whole numbers from 24 to 44? (a) 34 (b) 20 (c) 10 (d) 35
  35. 35.What is the average of all the whole numbers from 11 to 41? (a) 30 (b) 26 (c) 27 (d) 15
  36. 36.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 71 (b) 119 (c) 64 (d) 63
  37. 37.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 27 (b) 68 (c) 44 (d) 47
  38. 38.What is the average of all the whole numbers from 12 to 20? (a) 17 (b) 8 (c) 16 (d) 4
  39. 39.What is the average of all the whole numbers from 58 to 78? (a) 68 (b) 10 (c) 20 (d) 69
  40. 40.What is the average of all the whole numbers from 15 to 29? (a) 7 (b) 23 (c) 22 (d) 14

Answer key

  1. 66
  2. 7
  3. 43
  4. 46
  5. 52
  6. 32
  7. 54
  8. 62
  9. 49
  10. 54
  11. 76
  12. 49
  13. 26
  14. 58
  15. 21
  16. 57
  17. 52
  18. 27
  19. 13
  20. 63
  21. 49
  22. 46
  23. 46
  24. 31
  25. 30
  26. 64
  27. 31
  28. 98
  29. 72
  30. 19
  31. 63
  32. 26
  33. 82
  34. 34
  35. 26
  36. 119
  37. 68
  38. 16
  39. 68
  40. 22

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