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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 263 · 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.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 53 (b) 14 (c) 80 (d) 41
  2. 2.What is the average of all the whole numbers from 10 to 36? (a) 24 (b) 13 (c) 23 (d) 26
  3. 3.What is the average of all the whole numbers from 5 to 41? (a) 18 (b) 24 (c) 23 (d) 36
  4. 4.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 92 (b) 45 (c) 39 (d) 40
  5. 5.What is the average of all the whole numbers from 42 to 62? (a) 20 (b) 10 (c) 52 (d) 53
  6. 6.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 68 (c) 40 (d) 32
  7. 7.What is the average of 80, 72, 76 and 32? (a) 64 (b) 66 (c) 67 (d) 65
  8. 8.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 41 (b) 84 (c) 34 (d) 33
  9. 9.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 35 (c) 10 (d) 34
  10. 10.What is the average of 25, 32, 44, 50 and 24? (a) 36 (b) 37 (c) 34 (d) 35
  11. 11.What is the average of all the whole numbers from 49 to 63? (a) 57 (b) 7 (c) 56 (d) 14
  12. 12.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 24 (c) 40 (d) 60
  13. 13.What is the average of 63, 58, 67, 43 and 54? (a) 57 (b) 58 (c) 56 (d) 59
  14. 14.What is the average of all the whole numbers from 20 to 44? (a) 24 (b) 12 (c) 33 (d) 32
  15. 15.What is the average of 61, 52, 53, 68 and 96? (a) 68 (b) 66 (c) 65 (d) 67
  16. 16.What is the average of all the whole numbers from 41 to 57? (a) 16 (b) 50 (c) 8 (d) 49
  17. 17.What is the average of 37, 25, 18 and 8? (a) 23 (b) 22 (c) 24 (d) 21
  18. 18.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 19 (b) 20 (c) 12 (d) 11
  19. 19.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 28 (c) 49 (d) 4
  20. 20.What is the average of all the whole numbers from 53 to 67? (a) 7 (b) 60 (c) 14 (d) 61
  21. 21.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 15 (b) 75 (c) 39 (d) 51
  22. 22.What is the average of 67, 51, 71, 71 and 55? (a) 65 (b) 62 (c) 63 (d) 64
  23. 23.What is the average of all the whole numbers from 40 to 80? (a) 20 (b) 61 (c) 60 (d) 40
  24. 24.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 26 (b) 19 (c) 18 (d) 11
  25. 25.What is the average of 46, 64, 65, 55, 40 and 42? (a) 53 (b) 54 (c) 51 (d) 52
  26. 26.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 16 (c) 17 (d) 62
  27. 27.What is the average of all the whole numbers from 17 to 57? (a) 40 (b) 20 (c) 37 (d) 38
  28. 28.What is the average of all the whole numbers from 20 to 50? (a) 15 (b) 35 (c) 36 (d) 30
  29. 29.What is the average of all the whole numbers from 41 to 69? (a) 28 (b) 55 (c) 56 (d) 14
  30. 30.What is the average of 48, 37, 33, 52 and 35? (a) 42 (b) 40 (c) 41 (d) 43
  31. 31.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 42 (c) 66 (d) 40
  32. 32.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 52 (c) 40 (d) 17
  33. 33.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 45 (c) 27 (d) 21
  34. 34.What is the average of all the whole numbers from 28 to 52? (a) 40 (b) 12 (c) 41 (d) 24
  35. 35.What is the average of all the whole numbers from 14 to 48? (a) 31 (b) 32 (c) 34 (d) 17
  36. 36.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 14 (b) 54 (c) 15 (d) 26
  37. 37.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 38 (b) 34 (c) 24 (d) 54
  38. 38.What is the average of 25, 31, 22, 41 and 26? (a) 29 (b) 30 (c) 31 (d) 28
  39. 39.What is the average of 50, 30, 28 and 60? (a) 56 (b) 43 (c) 41 (d) 42
  40. 40.What is the average of 58, 41, 54, 64, 45 and 62? (a) 55 (b) 56 (c) 53 (d) 54

Answer key

  1. 53
  2. 23
  3. 23
  4. 39
  5. 52
  6. 68
  7. 65
  8. 33
  9. 34
  10. 35
  11. 56
  12. 60
  13. 57
  14. 32
  15. 66
  16. 49
  17. 22
  18. 20
  19. 28
  20. 60
  21. 51
  22. 63
  23. 60
  24. 26
  25. 52
  26. 16
  27. 37
  28. 35
  29. 55
  30. 41
  31. 66
  32. 52
  33. 45
  34. 40
  35. 31
  36. 14
  37. 54
  38. 29
  39. 42
  40. 54

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