← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 395 · 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 64, 51, 56, 57 and 87? (a) 64 (b) 65 (c) 62 (d) 63
  2. 2.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 31? (a) 43 (b) 31 (c) 34 (d) 15
  3. 3.What is the average of all the whole numbers from 37 to 43? (a) 41 (b) 40 (c) 6 (d) 3
  4. 4.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 39 (b) 53 (c) 28 (d) 32
  5. 5.What is the average of 10, 15, 8, 13 and 69? (a) 22 (b) 25 (c) 23 (d) 24
  6. 6.What is the average of 44, 39, 33, 57, 45 and 46? (a) 46 (b) 43 (c) 45 (d) 44
  7. 7.What is the average of 32, 24, 29 and 11? (a) 32 (b) 25 (c) 23 (d) 24
  8. 8.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 104 (c) 62 (d) 49
  9. 9.What is the average of 39, 46, 25, 23 and 37? (a) 35 (b) 33 (c) 36 (d) 34
  10. 10.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) 28 (b) 41 (c) 17 (d) 30
  11. 11.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 24 (c) 76 (d) 58
  12. 12.What is the average of 23, 21, 15, 12 and 59? (a) 27 (b) 25 (c) 28 (d) 26
  13. 13.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 24 (b) 31 (c) 10 (d) 17
  14. 14.What is the average of all the whole numbers from 45 to 85? (a) 40 (b) 66 (c) 20 (d) 65
  15. 15.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 29 (b) 24 (c) 25 (d) 45
  16. 16.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 76 (c) 32 (d) 52
  17. 17.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) 6 (b) 11 (c) 16 (d) 21
  18. 18.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 25 (c) 18 (d) 38
  19. 19.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 41? (a) 41 (b) 44 (c) 30 (d) 68
  20. 20.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 18 (c) 70 (d) 56
  21. 21.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 42 (b) 44 (c) 41 (d) 89
  22. 22.What is the average of all the whole numbers from 41 to 59? (a) 50 (b) 18 (c) 9 (d) 51
  23. 23.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 45? (a) 51 (b) 47 (c) 8 (d) 45
  24. 24.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 27? (a) 27 (b) 12 (c) 36 (d) 30
  25. 25.What is the average of all the whole numbers from 45 to 79? (a) 34 (b) 63 (c) 62 (d) 17
  26. 26.What is the average of 78, 65, 65, 83 and 104? (a) 81 (b) 78 (c) 79 (d) 80
  27. 27.What is the average of 70, 67, 61 and 54? (a) 62 (b) 84 (c) 63 (d) 64
  28. 28.What is the average of all the whole numbers from 57 to 63? (a) 3 (b) 60 (c) 6 (d) 61
  29. 29.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 60 (c) 56 (d) 102
  30. 30.What is the average of 30, 21, 29, 26 and 64? (a) 33 (b) 35 (c) 34 (d) 36
  31. 31.What is the average of all the whole numbers from 57 to 81? (a) 12 (b) 69 (c) 70 (d) 24
  32. 32.What is the average of all the whole numbers from 42 to 62? (a) 10 (b) 20 (c) 53 (d) 52
  33. 33.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 46 (c) 70 (d) 40
  34. 34.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 35 (c) 22 (d) 52
  35. 35.What is the average of all the whole numbers from 25 to 31? (a) 6 (b) 3 (c) 29 (d) 28
  36. 36.What is the average of 33, 11, 33, 18 and 35? (a) 27 (b) 26 (c) 28 (d) 25
  37. 37.What is the average of 27, 35, 39 and 19? (a) 30 (b) 29 (c) 31 (d) 40
  38. 38.What is the average of 75, 87, 70, 89, 72 and 69? (a) 76 (b) 78 (c) 79 (d) 77
  39. 39.What is the average of 53, 44, 53, 43 and 87? (a) 55 (b) 70 (c) 57 (d) 56
  40. 40.What is the average of 34, 42, 37 and 71? (a) 47 (b) 48 (c) 46 (d) 45

Answer key

  1. 63
  2. 43
  3. 40
  4. 53
  5. 23
  6. 44
  7. 24
  8. 104
  9. 34
  10. 41
  11. 76
  12. 26
  13. 31
  14. 65
  15. 45
  16. 76
  17. 16
  18. 38
  19. 68
  20. 70
  21. 41
  22. 50
  23. 51
  24. 36
  25. 62
  26. 79
  27. 63
  28. 60
  29. 102
  30. 34
  31. 69
  32. 52
  33. 70
  34. 52
  35. 28
  36. 26
  37. 30
  38. 77
  39. 56
  40. 46

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