← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 329 · 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 56 to 76? (a) 67 (b) 10 (c) 66 (d) 20
  2. 2.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 36 (b) 70 (c) 42 (d) 8
  3. 3.What is the average of 34, 41, 36, 43 and 86? (a) 47 (b) 48 (c) 49 (d) 60
  4. 4.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 48 (b) 67 (c) 107 (d) 75
  5. 5.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 74 (c) 46 (d) 42
  6. 6.What is the average of all the whole numbers from 51 to 57? (a) 55 (b) 3 (c) 54 (d) 6
  7. 7.What is the average of all the whole numbers from 5 to 15? (a) 5 (b) 11 (c) 9 (d) 10
  8. 8.What is the average of all the whole numbers from 25 to 41? (a) 16 (b) 8 (c) 33 (d) 34
  9. 9.What is the average of all the whole numbers from 13 to 53? (a) 40 (b) 33 (c) 20 (d) 34
  10. 10.What is the average of 69, 49, 61, 67, 61 and 53? (a) 72 (b) 59 (c) 61 (d) 60
  11. 11.What is the average of 63, 51, 60, 76 and 55? (a) 60 (b) 62 (c) 63 (d) 61
  12. 12.What is the average of 49, 57, 38, 49 and 57? (a) 52 (b) 50 (c) 49 (d) 51
  13. 13.What is the average of 66, 68, 75, 66 and 95? (a) 75 (b) 73 (c) 76 (d) 74
  14. 14.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 30 (b) 66 (c) 72 (d) 90
  15. 15.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 16 (b) 17 (c) 54 (d) 26
  16. 16.What is the average of all the whole numbers from 33 to 51? (a) 18 (b) 9 (c) 43 (d) 42
  17. 17.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 6 (c) 48 (d) 47
  18. 18.What is the average of all the whole numbers from 19 to 27? (a) 8 (b) 4 (c) 24 (d) 23
  19. 19.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 46 (c) 50 (d) 47
  20. 20.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 21 (b) 45 (c) 51 (d) 27
  21. 21.What is the average of 50, 51, 50, 62, 52 and 53? (a) 53 (b) 54 (c) 52 (d) 55
  22. 22.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 17 (b) 49 (c) 18 (d) 24
  23. 23.What is the average of 75, 73, 76 and 64? (a) 71 (b) 72 (c) 96 (d) 73
  24. 24.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 67 (c) 61 (d) 36
  25. 25.What is the average of 27, 37, 23 and 53? (a) 37 (b) 36 (c) 35 (d) 34
  26. 26.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 33 (c) 6 (d) 38
  27. 27.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 68 (b) 42 (c) 38 (d) 32
  28. 28.What is the average of 22, 26, 28, 26, 18 and 6? (a) 22 (b) 21 (c) 20 (d) 23
  29. 29.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 25 (c) 26 (d) 46
  30. 30.What is the average of 35, 26, 32, 19, 23 and 27? (a) 26 (b) 29 (c) 27 (d) 28
  31. 31.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 34 (b) 30 (c) 29 (d) 69
  32. 32.What is the average of 11, 36, 12, 28 and 28? (a) 24 (b) 22 (c) 23 (d) 25
  33. 33.What is the average of all the whole numbers from 58 to 90? (a) 74 (b) 75 (c) 32 (d) 16
  34. 34.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 10 (b) 37 (c) 31 (d) 29
  35. 35.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 35 (c) 13 (d) 12
  36. 36.What is the average of 48, 30, 22 and 48? (a) 38 (b) 39 (c) 36 (d) 37
  37. 37.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 16 (b) 28 (c) 40 (d) 32
  38. 38.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 56 (b) 15 (c) 27 (d) 16
  39. 39.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 2 (b) 31 (c) 3 (d) 14
  40. 40.What is the average of 71, 88, 66, 70 and 90? (a) 78 (b) 79 (c) 77 (d) 76

Answer key

  1. 66
  2. 42
  3. 48
  4. 107
  5. 74
  6. 54
  7. 10
  8. 33
  9. 33
  10. 60
  11. 61
  12. 50
  13. 74
  14. 90
  15. 16
  16. 42
  17. 47
  18. 23
  19. 46
  20. 45
  21. 53
  22. 17
  23. 72
  24. 61
  25. 35
  26. 38
  27. 68
  28. 21
  29. 46
  30. 27
  31. 29
  32. 23
  33. 74
  34. 37
  35. 12
  36. 37
  37. 40
  38. 15
  39. 2
  40. 77

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad