← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 291 · 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 46 to 68? (a) 22 (b) 58 (c) 11 (d) 57
  2. 2.What is the average of 33, 22, 14 and 39? (a) 27 (b) 36 (c) 28 (d) 26
  3. 3.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 71 (b) 29 (c) 36 (d) 49
  4. 4.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 23 (b) 34 (c) 72 (d) 22
  5. 5.What is the average of 32, 42, 41 and 5? (a) 40 (b) 30 (c) 29 (d) 31
  6. 6.What is the average of 74, 75, 76, 81 and 49? (a) 72 (b) 70 (c) 71 (d) 73
  7. 7.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 14 (b) 53 (c) 25 (d) 13
  8. 8.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 17 (b) 47 (c) 23 (d) 16
  9. 9.What is the average of 19, 14, 22, 32, 18 and 45? (a) 25 (b) 30 (c) 26 (d) 24
  10. 10.What is the average of 49, 51, 62, 67, 53 and 90? (a) 64 (b) 62 (c) 61 (d) 63
  11. 11.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 52 (c) 14 (d) 39
  12. 12.What is the average of all the whole numbers from 32 to 62? (a) 15 (b) 48 (c) 47 (d) 30
  13. 13.What is the average of 70, 66, 75 and 41? (a) 63 (b) 84 (c) 64 (d) 62
  14. 14.What is the average of all the whole numbers from 40 to 80? (a) 60 (b) 20 (c) 61 (d) 40
  15. 15.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 70 (c) 67 (d) 123
  16. 16.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 10 (b) 27 (c) 29 (d) 35
  17. 17.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 47 (c) 111 (d) 80
  18. 18.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 98 (c) 48 (d) 62
  19. 19.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 51 (c) 61 (d) 14
  20. 20.What is the average of 17, 34, 15, 21, 18 and 63? (a) 29 (b) 28 (c) 30 (d) 27
  21. 21.What is the average of 66, 54, 46, 70, 52 and 48? (a) 55 (b) 57 (c) 58 (d) 56
  22. 22.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 40 (c) 28 (d) 29
  23. 23.What is the average of all the whole numbers from 20 to 60? (a) 39 (b) 41 (c) 40 (d) 20
  24. 24.What is the average of 45, 63, 56 and 36? (a) 52 (b) 51 (c) 49 (d) 50
  25. 25.What is the average of all the whole numbers from 8 to 42? (a) 17 (b) 34 (c) 26 (d) 25
  26. 26.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 4 (b) 21 (c) 10 (d) 5
  27. 27.What is the average of 44, 43, 38, 45, 50 and 26? (a) 40 (b) 42 (c) 41 (d) 43
  28. 28.What is the average of 50, 50, 60, 41, 37 and 56? (a) 48 (b) 51 (c) 49 (d) 50
  29. 29.What is the average of all the whole numbers from 32 to 58? (a) 26 (b) 13 (c) 46 (d) 45
  30. 30.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 33 (c) 18 (d) 32
  31. 31.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 40 (c) 50 (d) 74
  32. 32.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 57 (c) 20 (d) 67
  33. 33.What is the average of all the whole numbers from 16 to 46? (a) 32 (b) 30 (c) 15 (d) 31
  34. 34.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 26? (a) 31 (b) 30 (c) 26 (d) 51
  35. 35.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 4 (c) 17 (d) 14
  36. 36.What is the average of 14, 29, 23 and 34? (a) 26 (b) 24 (c) 25 (d) 27
  37. 37.What is the average of 20, 28, 21 and 43? (a) 30 (b) 29 (c) 27 (d) 28
  38. 38.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 23 (b) 6 (c) 45 (d) 28
  39. 39.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 28 (b) 12 (c) 36 (d) 20
  40. 40.What is the average of 39, 41, 32 and 76? (a) 48 (b) 46 (c) 49 (d) 47

Answer key

  1. 57
  2. 27
  3. 71
  4. 22
  5. 30
  6. 71
  7. 13
  8. 16
  9. 25
  10. 62
  11. 39
  12. 47
  13. 63
  14. 60
  15. 123
  16. 35
  17. 111
  18. 98
  19. 61
  20. 28
  21. 56
  22. 28
  23. 40
  24. 50
  25. 25
  26. 4
  27. 41
  28. 49
  29. 45
  30. 32
  31. 74
  32. 67
  33. 31
  34. 51
  35. 17
  36. 25
  37. 28
  38. 28
  39. 36
  40. 47

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