← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 567 · 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 6 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 31 (c) 30 (d) 71
  2. 2.What is the average of all the whole numbers from 19 to 51? (a) 35 (b) 36 (c) 16 (d) 32
  3. 3.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 10 (c) 53 (d) 88
  4. 4.What is the average of 76, 67, 70, 80, 73 and 96? (a) 77 (b) 78 (c) 79 (d) 76
  5. 5.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 35 (b) 57 (c) 61 (d) 31
  6. 6.What is the average of all the whole numbers from 13 to 21? (a) 18 (b) 17 (c) 8 (d) 4
  7. 7.What is the average of all the whole numbers from 41 to 49? (a) 4 (b) 8 (c) 45 (d) 46
  8. 8.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 62 (b) 86 (c) 56 (d) 36
  9. 9.What is the average of all the whole numbers from 27 to 37? (a) 32 (b) 10 (c) 5 (d) 33
  10. 10.What is the average of all the whole numbers from 8 to 32? (a) 20 (b) 21 (c) 24 (d) 12
  11. 11.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 65 (b) 25 (c) 85 (d) 45
  12. 12.What is the average of 64, 68, 75 and 93? (a) 75 (b) 100 (c) 76 (d) 74
  13. 13.What is the average of 53, 71, 47 and 61? (a) 57 (b) 60 (c) 58 (d) 59
  14. 14.What is the average of 55, 39, 51 and 71? (a) 72 (b) 54 (c) 55 (d) 53
  15. 15.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 29 (b) 57 (c) 32 (d) 4
  16. 16.What is the average of 51, 44, 41 and 76? (a) 53 (b) 54 (c) 55 (d) 52
  17. 17.What is the average of 24, 7, 21 and 32? (a) 20 (b) 22 (c) 28 (d) 21
  18. 18.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 23 (b) 18 (c) 47 (d) 19
  19. 19.What is the average of 32, 26, 19, 19, 22 and 80? (a) 34 (b) 32 (c) 35 (d) 33
  20. 20.What is the average of all the whole numbers from 10 to 24? (a) 7 (b) 18 (c) 14 (d) 17
  21. 21.What is the average of 83, 82, 86, 65 and 74? (a) 79 (b) 77 (c) 80 (d) 78
  22. 22.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 26 (c) 9 (d) 8
  23. 23.What is the average of all the whole numbers from 33 to 47? (a) 14 (b) 41 (c) 7 (d) 40
  24. 24.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 55 (c) 64 (d) 103
  25. 25.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 56 (c) 86 (d) 44
  26. 26.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 3 (b) 14 (c) 2 (d) 32
  27. 27.What is the average of all the whole numbers from 32 to 68? (a) 18 (b) 50 (c) 51 (d) 36
  28. 28.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 52 (c) 70 (d) 20
  29. 29.What is the average of all the whole numbers from 59 to 77? (a) 68 (b) 18 (c) 69 (d) 9
  30. 30.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 6 (b) 26 (c) 51 (d) 31
  31. 31.What is the average of all the whole numbers from 16 to 22? (a) 19 (b) 6 (c) 20 (d) 3
  32. 32.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 52 (b) 72 (c) 48 (d) 28
  33. 33.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 48 (b) 99 (c) 67 (d) 59
  34. 34.What is the average of 65, 64, 70, 67 and 99? (a) 75 (b) 72 (c) 74 (d) 73
  35. 35.What is the average of 50, 55, 44, 67 and 79? (a) 61 (b) 59 (c) 60 (d) 58
  36. 36.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 71 (b) 55 (c) 47 (d) 32
  37. 37.What is the average of 25, 37, 26, 32 and 80? (a) 50 (b) 41 (c) 39 (d) 40
  38. 38.What is the average of 22, 35, 20, 5 and 18? (a) 25 (b) 20 (c) 19 (d) 21
  39. 39.What is the average of 29, 25, 45 and 61? (a) 40 (b) 42 (c) 39 (d) 41
  40. 40.What is the average of 67, 66, 80, 72, 59 and 94? (a) 75 (b) 73 (c) 74 (d) 72

Answer key

  1. 30
  2. 35
  3. 53
  4. 77
  5. 61
  6. 17
  7. 45
  8. 86
  9. 32
  10. 20
  11. 65
  12. 75
  13. 58
  14. 54
  15. 32
  16. 53
  17. 21
  18. 18
  19. 33
  20. 17
  21. 78
  22. 8
  23. 40
  24. 103
  25. 86
  26. 2
  27. 50
  28. 70
  29. 68
  30. 31
  31. 19
  32. 72
  33. 99
  34. 73
  35. 59
  36. 71
  37. 40
  38. 20
  39. 40
  40. 73

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