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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 68 · 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 85? (a) 71 (b) 14 (c) 28 (d) 72
  2. 2.What is the average of all the whole numbers from 48 to 80? (a) 64 (b) 65 (c) 16 (d) 32
  3. 3.What is the average of all the whole numbers from 5 to 39? (a) 23 (b) 34 (c) 17 (d) 22
  4. 4.What is the average of 65, 71, 77 and 63? (a) 69 (b) 92 (c) 70 (d) 68
  5. 5.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 109 (b) 60 (c) 61 (d) 55
  6. 6.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 45 (b) 16 (c) 33 (d) 31
  7. 7.What is the average of 76, 47, 51 and 70? (a) 63 (b) 60 (c) 62 (d) 61
  8. 8.What is the average of 39, 35, 36 and 34? (a) 36 (b) 48 (c) 35 (d) 37
  9. 9.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 74 (b) 67 (c) 102 (d) 42
  10. 10.What is the average of 47, 44, 40, 39 and 85? (a) 50 (b) 52 (c) 51 (d) 53
  11. 11.What is the average of 31, 29, 43, 44, 57 and 60? (a) 43 (b) 45 (c) 44 (d) 46
  12. 12.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 70 (b) 99 (c) 43 (d) 36
  13. 13.What is the average of 61, 54, 55, 41 and 69? (a) 57 (b) 70 (c) 55 (d) 56
  14. 14.What is the average of 48, 66, 58 and 60? (a) 57 (b) 60 (c) 59 (d) 58
  15. 15.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 19 (b) 10 (c) 36 (d) 27
  16. 16.What is the average of 55, 67, 57 and 61? (a) 60 (b) 59 (c) 80 (d) 61
  17. 17.What is the average of 66, 55, 68, 64, 50 and 81? (a) 63 (b) 65 (c) 64 (d) 66
  18. 18.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 29? (a) 36 (b) 92 (c) 29 (d) 70
  19. 19.What is the average of 80, 62, 62 and 76? (a) 71 (b) 70 (c) 69 (d) 72
  20. 20.What is the average of 59, 54, 44, 45 and 18? (a) 55 (b) 43 (c) 44 (d) 45
  21. 21.What is the average of 21, 41, 47, 47, 27 and 15? (a) 32 (b) 34 (c) 35 (d) 33
  22. 22.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 42 (c) 64 (d) 63
  23. 23.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 3 (c) 34 (d) 4
  24. 24.What is the average of all the whole numbers from 25 to 55? (a) 15 (b) 41 (c) 40 (d) 30
  25. 25.What is the average of all the whole numbers from 49 to 81? (a) 16 (b) 32 (c) 65 (d) 66
  26. 26.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 32 (c) 12 (d) 22
  27. 27.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 64 (b) 18 (c) 48 (d) 50
  28. 28.What is the average of 62, 62, 55 and 77? (a) 66 (b) 64 (c) 63 (d) 65
  29. 29.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 24 (c) 44 (d) 56
  30. 30.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 23 (b) 35 (c) 74 (d) 24
  31. 31.What is the average of all the whole numbers from 55 to 81? (a) 68 (b) 26 (c) 13 (d) 69
  32. 32.What is the average of all the whole numbers from 52 to 58? (a) 3 (b) 6 (c) 55 (d) 56
  33. 33.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 42 (b) 101 (c) 71 (d) 65
  34. 34.What is the average of all the whole numbers from 18 to 42? (a) 31 (b) 12 (c) 30 (d) 24
  35. 35.What is the average of all the whole numbers from 44 to 58? (a) 7 (b) 52 (c) 14 (d) 51
  36. 36.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 67 (b) 43 (c) 36 (d) 37
  37. 37.What is the average of 54, 54, 60, 41 and 41? (a) 52 (b) 50 (c) 51 (d) 49
  38. 38.What is the average of 83, 87, 88, 94, 64 and 58? (a) 80 (b) 81 (c) 78 (d) 79
  39. 39.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 54 (b) 103 (c) 55 (d) 61
  40. 40.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 41 (c) 61 (d) 24

Answer key

  1. 71
  2. 64
  3. 22
  4. 69
  5. 109
  6. 45
  7. 61
  8. 36
  9. 102
  10. 51
  11. 44
  12. 99
  13. 56
  14. 58
  15. 27
  16. 60
  17. 64
  18. 92
  19. 70
  20. 44
  21. 33
  22. 63
  23. 3
  24. 40
  25. 65
  26. 32
  27. 64
  28. 64
  29. 56
  30. 23
  31. 68
  32. 55
  33. 101
  34. 30
  35. 51
  36. 67
  37. 50
  38. 79
  39. 103
  40. 61

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