← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 310 · 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 29 to 51? (a) 40 (b) 11 (c) 22 (d) 41
  2. 2.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 71 (c) 32 (d) 35
  3. 3.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 49 (b) 16 (c) 70 (d) 37
  4. 4.What is the average of all the whole numbers from 49 to 63? (a) 56 (b) 14 (c) 7 (d) 57
  5. 5.What is the average of 31, 30, 21, 40, 23 and 41? (a) 32 (b) 30 (c) 33 (d) 31
  6. 6.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 43 (c) 24 (d) 61
  7. 7.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 36 (b) 50 (c) 56 (d) 80
  8. 8.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 9 (b) 44 (c) 8 (d) 20
  9. 9.What is the average of 68, 55, 58 and 63? (a) 60 (b) 61 (c) 62 (d) 63
  10. 10.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 41 (b) 55 (c) 39 (d) 18
  11. 11.What is the average of all the whole numbers from 46 to 60? (a) 7 (b) 54 (c) 14 (d) 53
  12. 12.What is the average of all the whole numbers from 55 to 85? (a) 15 (b) 30 (c) 70 (d) 71
  13. 13.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 6 (b) 71 (c) 41 (d) 36
  14. 14.What is the average of 51, 58, 71 and 44? (a) 58 (b) 55 (c) 57 (d) 56
  15. 15.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 40 (c) 31 (d) 66
  16. 16.What is the average of 69, 65, 60 and 70? (a) 67 (b) 65 (c) 66 (d) 88
  17. 17.What is the average of all the whole numbers from 13 to 21? (a) 17 (b) 4 (c) 18 (d) 8
  18. 18.What is the average of all the whole numbers from 13 to 41? (a) 28 (b) 26 (c) 14 (d) 27
  19. 19.What is the average of all the whole numbers from 60 to 100? (a) 40 (b) 80 (c) 81 (d) 20
  20. 20.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 72 (c) 45 (d) 30
  21. 21.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 57 (c) 72 (d) 62
  22. 22.What is the average of 16, 41, 36, 17, 31 and 33? (a) 29 (b) 30 (c) 31 (d) 28
  23. 23.What is the average of 23, 26, 24, 29, 19 and 71? (a) 34 (b) 32 (c) 33 (d) 31
  24. 24.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 19 (c) 49 (d) 18
  25. 25.What is the average of all the whole numbers from 38 to 64? (a) 26 (b) 52 (c) 51 (d) 13
  26. 26.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
  27. 27.What is the average of 48, 46, 64 and 74? (a) 60 (b) 58 (c) 57 (d) 59
  28. 28.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 31 (c) 24 (d) 51
  29. 29.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 28 (c) 30 (d) 41
  30. 30.What is the average of all the whole numbers from 20 to 38? (a) 18 (b) 29 (c) 30 (d) 9
  31. 31.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 12 (b) 37 (c) 29 (d) 20
  32. 32.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 15 (c) 39 (d) 27
  33. 33.What is the average of 47, 48, 52 and 29? (a) 43 (b) 45 (c) 44 (d) 46
  34. 34.What is the average of 28, 49, 34 and 37? (a) 37 (b) 36 (c) 38 (d) 39
  35. 35.What is the average of all the whole numbers from 22 to 60? (a) 41 (b) 42 (c) 19 (d) 38
  36. 36.What is the average of all the whole numbers from 32 to 60? (a) 14 (b) 47 (c) 28 (d) 46
  37. 37.What is the average of 29, 39, 41 and 11? (a) 31 (b) 29 (c) 40 (d) 30
  38. 38.What is the average of all the whole numbers from 33 to 63? (a) 30 (b) 15 (c) 49 (d) 48
  39. 39.What is the average of 68, 67, 90, 73 and 82? (a) 77 (b) 76 (c) 75 (d) 95
  40. 40.What is the average of 47, 40, 37 and 76? (a) 51 (b) 50 (c) 52 (d) 49

Answer key

  1. 40
  2. 32
  3. 49
  4. 56
  5. 31
  6. 61
  7. 80
  8. 8
  9. 61
  10. 55
  11. 53
  12. 70
  13. 41
  14. 56
  15. 66
  16. 66
  17. 17
  18. 27
  19. 80
  20. 72
  21. 72
  22. 29
  23. 32
  24. 18
  25. 51
  26. 60
  27. 58
  28. 51
  29. 41
  30. 29
  31. 29
  32. 39
  33. 44
  34. 37
  35. 41
  36. 46
  37. 30
  38. 48
  39. 76
  40. 50

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