← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 658 · 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 60 to 66? (a) 6 (b) 64 (c) 3 (d) 63
  2. 2.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 37 (b) 67 (c) 40 (d) 32
  3. 3.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 46 (c) 40 (d) 78
  4. 4.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 75 (c) 51 (d) 32
  5. 5.What is the average of 38, 36, 50 and 28? (a) 39 (b) 40 (c) 38 (d) 37
  6. 6.What is the average of 29, 45, 36, 27 and 58? (a) 41 (b) 38 (c) 39 (d) 40
  7. 7.What is the average of 45, 51, 45 and 51? (a) 49 (b) 64 (c) 48 (d) 47
  8. 8.What is the average of 67, 88, 78, 88 and 49? (a) 73 (b) 74 (c) 75 (d) 76
  9. 9.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 30 (b) 15 (c) 16 (d) 65
  10. 10.What is the average of 66, 59, 61 and 106? (a) 74 (b) 72 (c) 75 (d) 73
  11. 11.What is the average of all the whole numbers from 31 to 47? (a) 16 (b) 40 (c) 39 (d) 8
  12. 12.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 33 (c) 53 (d) 25
  13. 13.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) 40 (b) 28 (c) 32 (d) 16
  14. 14.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 31? (a) 32 (b) 31 (c) 39 (d) 55
  15. 15.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 50? (a) 58 (b) 80 (c) 50 (d) 122
  16. 16.What is the average of all the whole numbers from 54 to 82? (a) 68 (b) 14 (c) 69 (d) 28
  17. 17.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 40 (b) 68 (c) 98 (d) 63
  18. 18.What is the average of all the whole numbers from 16 to 22? (a) 3 (b) 20 (c) 6 (d) 19
  19. 19.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 21 (c) 17 (d) 43
  20. 20.What is the average of 41, 32, 46, 41, 52 and 64? (a) 46 (b) 45 (c) 48 (d) 47
  21. 21.What is the average of all the whole numbers from 56 to 84? (a) 71 (b) 70 (c) 28 (d) 14
  22. 22.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 28 (b) 68 (c) 82 (d) 61
  23. 23.What is the average of 38, 31, 47, 49 and 20? (a) 36 (b) 38 (c) 39 (d) 37
  24. 24.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 50 (b) 65 (c) 20 (d) 35
  25. 25.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 56 (b) 29 (c) 37 (d) 77
  26. 26.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 58 (c) 16 (d) 66
  27. 27.What is the average of all the whole numbers from 39 to 55? (a) 16 (b) 8 (c) 47 (d) 48
  28. 28.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 57 (c) 69 (d) 37
  29. 29.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 24 (c) 31 (d) 18
  30. 30.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 8 (b) 20 (c) 11 (d) 17
  31. 31.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 50 (b) 16 (c) 70 (d) 36
  32. 32.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 90 (b) 63 (c) 47 (d) 20
  33. 33.What is the average of 28, 41, 24, 22 and 15? (a) 27 (b) 26 (c) 25 (d) 28
  34. 34.What is the average of 29, 24, 50 and 53? (a) 39 (b) 40 (c) 52 (d) 38
  35. 35.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 14 (b) 47 (c) 59 (d) 92
  36. 36.What is the average of 52, 51, 60 and 73? (a) 58 (b) 59 (c) 61 (d) 60
  37. 37.What is the average of 44, 58, 65, 72 and 51? (a) 57 (b) 60 (c) 58 (d) 59
  38. 38.What is the average of all the whole numbers from 34 to 74? (a) 20 (b) 40 (c) 55 (d) 54
  39. 39.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 35 (c) 36 (d) 81
  40. 40.What is the average of 66, 80, 60, 77, 66 and 95? (a) 73 (b) 74 (c) 75 (d) 76

Answer key

  1. 63
  2. 67
  3. 78
  4. 75
  5. 38
  6. 39
  7. 48
  8. 74
  9. 15
  10. 73
  11. 39
  12. 53
  13. 40
  14. 55
  15. 122
  16. 68
  17. 98
  18. 19
  19. 17
  20. 46
  21. 70
  22. 82
  23. 37
  24. 50
  25. 77
  26. 66
  27. 47
  28. 57
  29. 31
  30. 17
  31. 50
  32. 63
  33. 26
  34. 39
  35. 59
  36. 59
  37. 58
  38. 54
  39. 35
  40. 74

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