← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 248 · 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 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 18 (c) 44 (d) 59
  2. 2.What is the average of 29, 40, 39, 33 and 74? (a) 43 (b) 45 (c) 44 (d) 42
  3. 3.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 35 (b) 64 (c) 69 (d) 94
  4. 4.What is the average of 72, 52, 79, 75, 57 and 67? (a) 69 (b) 68 (c) 66 (d) 67
  5. 5.What is the average of all the whole numbers from 9 to 17? (a) 14 (b) 4 (c) 13 (d) 8
  6. 6.What is the average of all the whole numbers from 55 to 61? (a) 3 (b) 6 (c) 58 (d) 59
  7. 7.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 27 (b) 18 (c) 17 (d) 56
  8. 8.What is the average of 34, 39, 46, 42 and 84? (a) 49 (b) 48 (c) 50 (d) 51
  9. 9.What is the average of all the whole numbers from 60 to 68? (a) 64 (b) 8 (c) 4 (d) 65
  10. 10.What is the average of all the whole numbers from 39 to 57? (a) 9 (b) 18 (c) 49 (d) 48
  11. 11.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 72 (b) 38 (c) 102 (d) 46
  12. 12.What is the average of 75, 78, 69 and 94? (a) 81 (b) 80 (c) 79 (d) 78
  13. 13.What is the average of 30, 23, 38 and 53? (a) 37 (b) 35 (c) 36 (d) 48
  14. 14.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 35 (b) 28 (c) 11 (d) 18
  15. 15.What is the average of 72, 74, 70, 56, 56 and 92? (a) 84 (b) 70 (c) 71 (d) 69
  16. 16.What is the average of all the whole numbers from 37 to 55? (a) 47 (b) 46 (c) 18 (d) 9
  17. 17.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 48 (b) 53 (c) 59 (d) 95
  18. 18.What is the average of 60, 60, 38, 50 and 57? (a) 55 (b) 53 (c) 52 (d) 54
  19. 19.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 53 (b) 30 (c) 28 (d) 33
  20. 20.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 6 (c) 16 (d) 11
  21. 21.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 15 (b) 42 (c) 51 (d) 39
  22. 22.What is the average of 75, 68, 67, 49, 49 and 70? (a) 64 (b) 63 (c) 62 (d) 65
  23. 23.What is the average of 65, 46, 41, 44 and 74? (a) 54 (b) 55 (c) 56 (d) 53
  24. 24.What is the average of all the whole numbers from 14 to 24? (a) 5 (b) 20 (c) 19 (d) 10
  25. 25.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 36 (c) 48 (d) 72
  26. 26.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 63 (c) 105 (d) 49
  27. 27.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 16 (c) 33 (d) 10
  28. 28.What is the average of all the whole numbers from 34 to 70? (a) 18 (b) 53 (c) 36 (d) 52
  29. 29.What is the average of all the whole numbers from 38 to 44? (a) 42 (b) 3 (c) 41 (d) 6
  30. 30.What is the average of all the whole numbers from 32 to 38? (a) 35 (b) 3 (c) 36 (d) 6
  31. 31.What is the average of 69, 76, 58, 63, 55 and 87? (a) 68 (b) 69 (c) 70 (d) 67
  32. 32.What is the average of 33, 19, 8, 11 and 34? (a) 23 (b) 21 (c) 22 (d) 20
  33. 33.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 45 (c) 39 (d) 40
  34. 34.What is the average of 63, 52, 69 and 80? (a) 88 (b) 67 (c) 65 (d) 66
  35. 35.What is the average of 58, 64, 38, 45 and 40? (a) 48 (b) 49 (c) 50 (d) 51
  36. 36.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 41 (c) 75 (d) 4
  37. 37.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 106 (c) 56 (d) 58
  38. 38.What is the average of all the whole numbers from 56 to 72? (a) 8 (b) 64 (c) 65 (d) 16
  39. 39.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 24 (c) 23 (d) 48
  40. 40.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 20 (b) 37 (c) 70 (d) 53

Answer key

  1. 59
  2. 43
  3. 94
  4. 67
  5. 13
  6. 58
  7. 17
  8. 49
  9. 64
  10. 48
  11. 102
  12. 79
  13. 36
  14. 35
  15. 70
  16. 46
  17. 95
  18. 53
  19. 53
  20. 16
  21. 51
  22. 63
  23. 54
  24. 19
  25. 72
  26. 105
  27. 10
  28. 52
  29. 41
  30. 35
  31. 68
  32. 21
  33. 39
  34. 66
  35. 49
  36. 41
  37. 106
  38. 64
  39. 23
  40. 53

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