← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 775 · 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 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 24 (b) 63 (c) 82 (d) 43
  2. 2.What is the average of 33, 24, 37 and 22? (a) 28 (b) 31 (c) 30 (d) 29
  3. 3.What is the average of all the whole numbers from 14 to 52? (a) 19 (b) 38 (c) 34 (d) 33
  4. 4.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 32 (c) 37 (d) 31
  5. 5.What is the average of all the whole numbers from 10 to 18? (a) 15 (b) 4 (c) 8 (d) 14
  6. 6.What is the average of all the whole numbers from 60 to 88? (a) 74 (b) 28 (c) 14 (d) 75
  7. 7.What is the average of 80, 70, 91, 91 and 68? (a) 100 (b) 80 (c) 79 (d) 81
  8. 8.What is the average of all the whole numbers from 34 to 60? (a) 26 (b) 13 (c) 48 (d) 47
  9. 9.What is the average of 75, 57, 53, 51 and 74? (a) 61 (b) 62 (c) 64 (d) 63
  10. 10.What is the average of 47, 53, 35, 44, 44 and 65? (a) 49 (b) 50 (c) 48 (d) 47
  11. 11.What is the average of 64, 73, 51 and 56? (a) 62 (b) 61 (c) 60 (d) 63
  12. 12.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 44 (b) 16 (c) 15 (d) 21
  13. 13.What is the average of all the whole numbers from 39 to 65? (a) 26 (b) 13 (c) 53 (d) 52
  14. 14.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 48 (d) 77
  15. 15.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 60 (c) 84 (d) 36
  16. 16.What is the average of all the whole numbers from 24 to 50? (a) 13 (b) 37 (c) 26 (d) 38
  17. 17.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 96 (b) 49 (c) 57 (d) 10
  18. 18.What is the average of 50, 42, 39, 55 and 69? (a) 50 (b) 52 (c) 53 (d) 51
  19. 19.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 54 (c) 48 (d) 7
  20. 20.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 34 (c) 47 (d) 32
  21. 21.What is the average of all the whole numbers from 5 to 15? (a) 5 (b) 11 (c) 10 (d) 9
  22. 22.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 28 (c) 29 (d) 27
  23. 23.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) 98 (b) 68 (c) 63 (d) 40
  24. 24.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 40 (b) 39 (c) 75 (d) 43
  25. 25.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 24 (b) 57 (c) 36 (d) 69
  26. 26.What is the average of 45, 29, 23 and 27? (a) 33 (b) 30 (c) 32 (d) 31
  27. 27.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 12 (c) 38 (d) 44
  28. 28.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 12 (c) 8 (d) 18
  29. 29.What is the average of 48, 44, 50, 43, 37 and 48? (a) 44 (b) 45 (c) 54 (d) 46
  30. 30.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 34 (c) 46 (d) 24
  31. 31.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 92 (b) 36 (c) 43 (d) 63
  32. 32.What is the average of all the whole numbers from 23 to 37? (a) 7 (b) 30 (c) 31 (d) 14
  33. 33.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 87 (c) 71 (d) 46
  34. 34.What is the average of 84, 55, 61, 80, 77 and 57? (a) 68 (b) 69 (c) 70 (d) 71
  35. 35.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 87 (c) 39 (d) 43
  36. 36.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 12 (b) 23 (c) 44 (d) 33
  37. 37.What is the average of all the whole numbers from 7 to 41? (a) 24 (b) 17 (c) 25 (d) 34
  38. 38.What is the average of all the whole numbers from 35 to 73? (a) 55 (b) 19 (c) 54 (d) 38
  39. 39.What is the average of all the whole numbers from 46 to 58? (a) 12 (b) 52 (c) 6 (d) 53
  40. 40.What is the average of 24, 36, 32 and 52? (a) 36 (b) 35 (c) 48 (d) 37

Answer key

  1. 63
  2. 29
  3. 33
  4. 31
  5. 14
  6. 74
  7. 80
  8. 47
  9. 62
  10. 48
  11. 61
  12. 15
  13. 52
  14. 77
  15. 84
  16. 37
  17. 57
  18. 51
  19. 54
  20. 47
  21. 10
  22. 28
  23. 98
  24. 75
  25. 57
  26. 31
  27. 44
  28. 18
  29. 45
  30. 46
  31. 92
  32. 30
  33. 71
  34. 69
  35. 39
  36. 33
  37. 24
  38. 54
  39. 52
  40. 36

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