← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 173 · 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 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 85 (b) 86 (c) 45 (d) 50
  2. 2.What is the average of 42, 66, 46, 45 and 66? (a) 55 (b) 54 (c) 53 (d) 52
  3. 3.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 12 (b) 21 (c) 31 (d) 40
  4. 4.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 39 (c) 36 (d) 67
  5. 5.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 23 (b) 28 (c) 47 (d) 42
  6. 6.What is the average of all the whole numbers from 48 to 66? (a) 57 (b) 18 (c) 58 (d) 9
  7. 7.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 39 (b) 31 (c) 27 (d) 16
  8. 8.What is the average of 74, 59, 51, 68 and 63? (a) 64 (b) 63 (c) 65 (d) 62
  9. 9.What is the average of 59, 63, 84, 70 and 94? (a) 73 (b) 76 (c) 75 (d) 74
  10. 10.What is the average of 41, 49, 57 and 65? (a) 52 (b) 54 (c) 55 (d) 53
  11. 11.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 41 (b) 62 (c) 27 (d) 38
  12. 12.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 23 (c) 4 (d) 5
  13. 13.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 35? (a) 35 (b) 60 (c) 40 (d) 30
  14. 14.What is the average of 58, 51, 32 and 35? (a) 45 (b) 44 (c) 46 (d) 43
  15. 15.What is the average of 39, 58, 59 and 52? (a) 54 (b) 51 (c) 52 (d) 53
  16. 16.What is the average of all the whole numbers from 58 to 66? (a) 4 (b) 8 (c) 63 (d) 62
  17. 17.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 71 (b) 18 (c) 33 (d) 19
  18. 18.What is the average of 58, 67, 51 and 68? (a) 61 (b) 62 (c) 63 (d) 60
  19. 19.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 35 (c) 46 (d) 34
  20. 20.What is the average of 41, 33, 54, 36 and 56? (a) 43 (b) 55 (c) 45 (d) 44
  21. 21.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 49 (b) 42 (c) 100 (d) 41
  22. 22.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 54 (b) 44 (c) 42 (d) 14
  23. 23.What is the average of all the whole numbers from 43 to 63? (a) 20 (b) 53 (c) 54 (d) 10
  24. 24.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 39 (c) 26 (d) 28
  25. 25.What is the average of all the whole numbers from 26 to 40? (a) 33 (b) 14 (c) 7 (d) 34
  26. 26.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 42 (c) 71 (d) 99
  27. 27.What is the average of all the whole numbers from 51 to 91? (a) 40 (b) 20 (c) 72 (d) 71
  28. 28.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 10 (b) 65 (c) 59 (d) 57
  29. 29.What is the average of 40, 31, 36 and 77? (a) 45 (b) 47 (c) 48 (d) 46
  30. 30.What is the average of all the whole numbers from 38 to 62? (a) 50 (b) 12 (c) 51 (d) 24
  31. 31.What is the average of 90, 80, 80, 77, 88 and 35? (a) 75 (b) 74 (c) 76 (d) 90
  32. 32.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 24 (b) 53 (c) 33 (d) 37
  33. 33.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 5 (b) 45 (c) 41 (d) 81
  34. 34.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 98 (c) 32 (d) 31
  35. 35.What is the average of 14, 32, 35 and 7? (a) 23 (b) 24 (c) 21 (d) 22
  36. 36.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 24 (c) 35 (d) 54
  37. 37.What is the average of 47, 62, 62 and 33? (a) 51 (b) 68 (c) 52 (d) 50
  38. 38.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 37 (b) 24 (c) 29 (d) 16
  39. 39.What is the average of 62, 62, 77, 75 and 34? (a) 62 (b) 61 (c) 64 (d) 63
  40. 40.What is the average of 27, 43, 39, 27, 16 and 34? (a) 33 (b) 30 (c) 31 (d) 32

Answer key

  1. 85
  2. 53
  3. 31
  4. 67
  5. 47
  6. 57
  7. 39
  8. 63
  9. 74
  10. 53
  11. 62
  12. 4
  13. 60
  14. 44
  15. 52
  16. 62
  17. 18
  18. 61
  19. 34
  20. 44
  21. 41
  22. 54
  23. 53
  24. 39
  25. 33
  26. 99
  27. 71
  28. 65
  29. 46
  30. 50
  31. 75
  32. 53
  33. 45
  34. 31
  35. 22
  36. 54
  37. 51
  38. 37
  39. 62
  40. 31

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