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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 249 · 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 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 35 (b) 66 (c) 41 (d) 36
  2. 2.What is the average of 36, 23, 45 and 20? (a) 30 (b) 32 (c) 31 (d) 33
  3. 3.What is the average of 42, 35, 27 and 36? (a) 37 (b) 34 (c) 35 (d) 36
  4. 4.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 67? (a) 75 (b) 115 (c) 67 (d) 56
  5. 5.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 34 (c) 22 (d) 11
  6. 6.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 89 (b) 33 (c) 40 (d) 63
  7. 7.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 23 (c) 24 (d) 29
  8. 8.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 64 (b) 60 (c) 20 (d) 76
  9. 9.What is the average of all the whole numbers from 7 to 27? (a) 20 (b) 18 (c) 10 (d) 17
  10. 10.What is the average of all the whole numbers from 17 to 43? (a) 31 (b) 26 (c) 13 (d) 30
  11. 11.What is the average of all the whole numbers from 25 to 57? (a) 41 (b) 16 (c) 32 (d) 42
  12. 12.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 59 (c) 40 (d) 94
  13. 13.What is the average of all the whole numbers from 14 to 46? (a) 16 (b) 32 (c) 31 (d) 30
  14. 14.What is the average of all the whole numbers from 14 to 36? (a) 22 (b) 25 (c) 26 (d) 11
  15. 15.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 21 (b) 36 (c) 75 (d) 22
  16. 16.What is the average of 49, 48, 57, 49 and 97? (a) 61 (b) 75 (c) 60 (d) 59
  17. 17.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 49? (a) 54 (b) 49 (c) 79 (d) 35
  18. 18.What is the average of 46, 39, 28, 27, 51 and 25? (a) 36 (b) 35 (c) 37 (d) 38
  19. 19.What is the average of 68, 57, 48, 63 and 49? (a) 59 (b) 56 (c) 58 (d) 57
  20. 20.What is the average of 71, 73, 58 and 54? (a) 64 (b) 65 (c) 63 (d) 66
  21. 21.What is the average of all the whole numbers from 59 to 85? (a) 72 (b) 73 (c) 13 (d) 26
  22. 22.What is the average of all the whole numbers from 46 to 58? (a) 52 (b) 12 (c) 53 (d) 6
  23. 23.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 45 (b) 39 (c) 34 (d) 74
  24. 24.What is the average of 72, 70, 54, 74, 72 and 42? (a) 65 (b) 64 (c) 63 (d) 66
  25. 25.What is the average of all the whole numbers from 42 to 68? (a) 13 (b) 26 (c) 56 (d) 55
  26. 26.What is the average of 10, 25, 38, 17 and 35? (a) 26 (b) 25 (c) 27 (d) 24
  27. 27.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 70 (b) 50 (c) 57 (d) 113
  28. 28.What is the average of all the whole numbers from 27 to 47? (a) 37 (b) 10 (c) 38 (d) 20
  29. 29.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 49 (c) 18 (d) 63
  30. 30.What is the average of all the whole numbers from 60 to 96? (a) 18 (b) 36 (c) 78 (d) 79
  31. 31.What is the average of 23, 26, 40, 20 and 21? (a) 27 (b) 28 (c) 26 (d) 25
  32. 32.What is the average of 59, 55, 55 and 111? (a) 69 (b) 72 (c) 70 (d) 71
  33. 33.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 10 (b) 58 (c) 60 (d) 66
  34. 34.What is the average of all the whole numbers from 56 to 96? (a) 76 (b) 20 (c) 77 (d) 40
  35. 35.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 77 (b) 56 (c) 20 (d) 41
  36. 36.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 12 (b) 41 (c) 32 (d) 35
  37. 37.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 60 (b) 5 (c) 28 (d) 4
  38. 38.What is the average of 60, 68, 57 and 99? (a) 72 (b) 70 (c) 73 (d) 71
  39. 39.What is the average of all the whole numbers from 41 to 49? (a) 8 (b) 4 (c) 46 (d) 45
  40. 40.What is the average of all the whole numbers from 9 to 23? (a) 14 (b) 7 (c) 17 (d) 16

Answer key

  1. 66
  2. 31
  3. 35
  4. 115
  5. 34
  6. 89
  7. 23
  8. 76
  9. 17
  10. 30
  11. 41
  12. 94
  13. 30
  14. 25
  15. 21
  16. 60
  17. 79
  18. 36
  19. 57
  20. 64
  21. 72
  22. 52
  23. 74
  24. 64
  25. 55
  26. 25
  27. 113
  28. 37
  29. 63
  30. 78
  31. 26
  32. 70
  33. 66
  34. 76
  35. 56
  36. 41
  37. 4
  38. 71
  39. 45
  40. 16

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