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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 691 · 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 45, 69, 59, 72 and 50? (a) 60 (b) 61 (c) 58 (d) 59
  2. 2.What is the average of 30, 48, 46, 28, 39 and 49? (a) 41 (b) 48 (c) 40 (d) 39
  3. 3.What is the average of 31, 35, 35 and 47? (a) 36 (b) 38 (c) 39 (d) 37
  4. 4.What is the average of all the whole numbers from 12 to 50? (a) 19 (b) 32 (c) 38 (d) 31
  5. 5.What is the average of all the whole numbers from 22 to 36? (a) 14 (b) 30 (c) 29 (d) 7
  6. 6.What is the average of 63, 76, 62, 64, 57 and 98? (a) 84 (b) 71 (c) 70 (d) 69
  7. 7.What is the average of all the whole numbers from 39 to 59? (a) 20 (b) 10 (c) 49 (d) 50
  8. 8.What is the average of all the whole numbers from 13 to 35? (a) 22 (b) 11 (c) 25 (d) 24
  9. 9.What is the average of 13, 11, 12, 11, 5 and 68? (a) 20 (b) 21 (c) 19 (d) 24
  10. 10.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 24 (b) 34 (c) 39 (d) 19
  11. 11.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 16 (b) 43 (c) 15 (d) 90
  12. 12.What is the average of 73, 60, 59, 66 and 77? (a) 69 (b) 68 (c) 67 (d) 66
  13. 13.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 51 (b) 50 (c) 25 (d) 30
  14. 14.What is the average of all the whole numbers from 57 to 63? (a) 6 (b) 3 (c) 61 (d) 60
  15. 15.What is the average of 35, 34, 26 and 33? (a) 32 (b) 33 (c) 34 (d) 31
  16. 16.What is the average of 17, 28, 29, 30 and 36? (a) 29 (b) 28 (c) 27 (d) 35
  17. 17.What is the average of all the whole numbers from 10 to 40? (a) 25 (b) 30 (c) 15 (d) 26
  18. 18.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 12 (b) 29 (c) 37 (d) 27
  19. 19.What is the average of all the whole numbers from 23 to 41? (a) 18 (b) 9 (c) 32 (d) 33
  20. 20.What is the average of all the whole numbers from 50 to 84? (a) 17 (b) 34 (c) 67 (d) 68
  21. 21.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 17 (c) 16 (d) 21
  22. 22.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 16 (b) 15 (c) 25 (d) 52
  23. 23.What is the average of all the whole numbers from 60 to 92? (a) 76 (b) 16 (c) 77 (d) 32
  24. 24.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 8 (c) 28 (d) 41
  25. 25.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 16 (c) 4 (d) 15
  26. 26.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 60 (b) 12 (c) 54 (d) 51
  27. 27.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 27 (b) 41 (c) 65 (d) 44
  28. 28.What is the average of all the whole numbers from 5 to 17? (a) 12 (b) 6 (c) 11 (d) 10
  29. 29.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 14 (c) 56 (d) 66
  30. 30.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 36 (b) 25 (c) 57 (d) 29
  31. 31.What is the average of 47, 28, 39, 29, 34 and 21? (a) 32 (b) 35 (c) 33 (d) 34
  32. 32.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 27 (b) 50 (c) 74 (d) 53
  33. 33.What is the average of all the whole numbers from 45 to 51? (a) 48 (b) 49 (c) 3 (d) 6
  34. 34.What is the average of all the whole numbers from 48 to 78? (a) 64 (b) 30 (c) 15 (d) 63
  35. 35.What is the average of 37, 55, 48 and 64? (a) 68 (b) 52 (c) 51 (d) 50
  36. 36.What is the average of 22, 16, 22, 25, 11 and 48? (a) 25 (b) 24 (c) 26 (d) 23
  37. 37.What is the average of 8, 9, 12 and 59? (a) 22 (b) 21 (c) 23 (d) 24
  38. 38.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 41 (c) 31 (d) 12
  39. 39.What is the average of 57, 60, 60 and 51? (a) 58 (b) 56 (c) 57 (d) 76
  40. 40.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 26 (c) 48 (d) 68

Answer key

  1. 59
  2. 40
  3. 37
  4. 31
  5. 29
  6. 70
  7. 49
  8. 24
  9. 20
  10. 39
  11. 15
  12. 67
  13. 50
  14. 60
  15. 32
  16. 28
  17. 25
  18. 37
  19. 32
  20. 67
  21. 16
  22. 15
  23. 76
  24. 28
  25. 15
  26. 60
  27. 65
  28. 11
  29. 66
  30. 57
  31. 33
  32. 74
  33. 48
  34. 63
  35. 51
  36. 24
  37. 22
  38. 41
  39. 57
  40. 68

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