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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 894 · 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 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 56 (c) 109 (d) 69
  2. 2.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 7 (b) 11 (c) 23 (d) 8
  3. 3.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 60 (c) 115 (d) 114
  4. 4.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 57? (a) 60 (b) 69 (c) 15 (d) 57
  5. 5.What is the average of 52, 54, 72, 61 and 61? (a) 61 (b) 59 (c) 60 (d) 75
  6. 6.What is the average of 24, 23, 41 and 48? (a) 33 (b) 35 (c) 34 (d) 36
  7. 7.What is the average of 37, 28, 29, 43 and 68? (a) 41 (b) 43 (c) 40 (d) 42
  8. 8.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 39 (c) 64 (d) 8
  9. 9.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 44 (b) 30 (c) 16 (d) 58
  10. 10.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 76 (c) 30 (d) 58
  11. 11.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 32? (a) 32 (b) 65 (c) 64 (d) 40
  12. 12.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 7 (c) 41 (d) 19
  13. 13.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 51? (a) 100 (b) 56 (c) 51 (d) 58
  14. 14.What is the average of all the whole numbers from 49 to 71? (a) 22 (b) 61 (c) 11 (d) 60
  15. 15.What is the average of all the whole numbers from 42 to 70? (a) 28 (b) 57 (c) 14 (d) 56
  16. 16.What is the average of 52, 62, 73 and 61? (a) 61 (b) 64 (c) 62 (d) 63
  17. 17.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 38 (c) 70 (d) 40
  18. 18.What is the average of 33, 27, 49, 26 and 60? (a) 40 (b) 41 (c) 39 (d) 38
  19. 19.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 35 (c) 24 (d) 47
  20. 20.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 79 (c) 17 (d) 18
  21. 21.What is the average of all the whole numbers from 48 to 68? (a) 20 (b) 59 (c) 10 (d) 58
  22. 22.What is the average of all the whole numbers from 10 to 44? (a) 34 (b) 17 (c) 27 (d) 28
  23. 23.What is the average of 62, 72, 60, 68 and 108? (a) 73 (b) 74 (c) 76 (d) 75
  24. 24.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 38 (c) 61 (d) 8
  25. 25.What is the average of all the whole numbers from 22 to 42? (a) 10 (b) 20 (c) 32 (d) 33
  26. 26.What is the average of all the whole numbers from 16 to 26? (a) 10 (b) 22 (c) 5 (d) 21
  27. 27.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) 49 (b) 57 (c) 10 (d) 96
  28. 28.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 58? (a) 61 (b) 58 (c) 79 (d) 24
  29. 29.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 35? (a) 45 (b) 37 (c) 35 (d) 12
  30. 30.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 28 (b) 30 (c) 51 (d) 37
  31. 31.What is the average of all the whole numbers from 10 to 18? (a) 15 (b) 8 (c) 4 (d) 14
  32. 32.What is the average of 21, 24, 44 and 51? (a) 35 (b) 37 (c) 36 (d) 34
  33. 33.What is the average of 29, 37, 29 and 25? (a) 30 (b) 31 (c) 40 (d) 29
  34. 34.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 24 (b) 66 (c) 54 (d) 48
  35. 35.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 28 (c) 86 (d) 62
  36. 36.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 69 (b) 45 (c) 30 (d) 42
  37. 37.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 40 (c) 28 (d) 14
  38. 38.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 44 (c) 29 (d) 53
  39. 39.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 7 (b) 10 (c) 21 (d) 6
  40. 40.What is the average of 74, 57, 79, 62, 59 and 59? (a) 65 (b) 78 (c) 66 (d) 64

Answer key

  1. 109
  2. 7
  3. 114
  4. 69
  5. 60
  6. 34
  7. 41
  8. 39
  9. 44
  10. 76
  11. 64
  12. 7
  13. 100
  14. 60
  15. 56
  16. 62
  17. 70
  18. 39
  19. 47
  20. 17
  21. 58
  22. 27
  23. 74
  24. 38
  25. 32
  26. 21
  27. 57
  28. 79
  29. 45
  30. 51
  31. 14
  32. 35
  33. 30
  34. 66
  35. 86
  36. 69
  37. 40
  38. 44
  39. 6
  40. 65

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