← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 829 · 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 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 11 (c) 23 (d) 14
  2. 2.What is the average of all the whole numbers from 51 to 59? (a) 56 (b) 8 (c) 4 (d) 55
  3. 3.What is the average of all the whole numbers from 21 to 37? (a) 29 (b) 16 (c) 8 (d) 30
  4. 4.What is the average of all the whole numbers from 10 to 18? (a) 8 (b) 15 (c) 14 (d) 4
  5. 5.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 47 (b) 32 (c) 61 (d) 18
  6. 6.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 40 (c) 66 (d) 96
  7. 7.What is the average of all the whole numbers from 9 to 15? (a) 3 (b) 12 (c) 6 (d) 13
  8. 8.What is the average of all the whole numbers from 17 to 45? (a) 32 (b) 14 (c) 28 (d) 31
  9. 9.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 37 (c) 28 (d) 61
  10. 10.What is the average of all the whole numbers from 56 to 82? (a) 13 (b) 69 (c) 70 (d) 26
  11. 11.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 51 (c) 48 (d) 91
  12. 12.What is the average of all the whole numbers from 52 to 58? (a) 55 (b) 3 (c) 6 (d) 56
  13. 13.What is the average of 56, 59, 40, 29, 53 and 27? (a) 44 (b) 43 (c) 46 (d) 45
  14. 14.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 11 (b) 10 (c) 17 (d) 35
  15. 15.What is the average of all the whole numbers from 51 to 65? (a) 59 (b) 14 (c) 58 (d) 7
  16. 16.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 55 (c) 70 (d) 111
  17. 17.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 60 (c) 30 (d) 35
  18. 18.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 40 (c) 80 (d) 81
  19. 19.What is the average of all the whole numbers from 49 to 59? (a) 10 (b) 54 (c) 55 (d) 5
  20. 20.What is the average of 51, 53, 27, 42, 45 and 22? (a) 40 (b) 39 (c) 48 (d) 41
  21. 21.What is the average of all the whole numbers from 15 to 41? (a) 29 (b) 28 (c) 13 (d) 26
  22. 22.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 10 (c) 48 (d) 54
  23. 23.What is the average of 58, 52, 65, 45 and 60? (a) 70 (b) 57 (c) 55 (d) 56
  24. 24.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 33 (b) 63 (c) 24 (d) 54
  25. 25.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 15 (b) 2 (c) 1 (d) 32
  26. 26.What is the average of 22, 24, 41 and 33? (a) 40 (b) 30 (c) 29 (d) 31
  27. 27.What is the average of 18, 18, 37, 20, 31 and 50? (a) 31 (b) 28 (c) 29 (d) 30
  28. 28.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) 7 (d) 48
  29. 29.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 39 (c) 37 (d) 79
  30. 30.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 24 (b) 54 (c) 66 (d) 48
  31. 31.What is the average of all the whole numbers from 30 to 62? (a) 47 (b) 32 (c) 46 (d) 16
  32. 32.What is the average of 39, 31, 23, 44 and 48? (a) 36 (b) 37 (c) 38 (d) 39
  33. 33.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 24 (b) 61 (c) 30 (d) 23
  34. 34.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 8 (c) 40 (d) 46
  35. 35.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 48 (b) 34 (c) 27 (d) 28
  36. 36.What is the average of 42, 41, 63, 42, 44 and 74? (a) 50 (b) 53 (c) 52 (d) 51
  37. 37.What is the average of 55, 63, 67 and 87? (a) 67 (b) 68 (c) 70 (d) 69
  38. 38.What is the average of 29, 38, 12 and 25? (a) 28 (b) 27 (c) 25 (d) 26
  39. 39.What is the average of all the whole numbers from 35 to 55? (a) 10 (b) 20 (c) 45 (d) 46
  40. 40.What is the average of 88, 64, 82 and 82? (a) 80 (b) 79 (c) 81 (d) 78

Answer key

  1. 23
  2. 55
  3. 29
  4. 14
  5. 47
  6. 96
  7. 12
  8. 31
  9. 61
  10. 69
  11. 91
  12. 55
  13. 44
  14. 10
  15. 58
  16. 111
  17. 60
  18. 80
  19. 54
  20. 40
  21. 28
  22. 54
  23. 56
  24. 54
  25. 1
  26. 30
  27. 29
  28. 54
  29. 36
  30. 66
  31. 46
  32. 37
  33. 23
  34. 46
  35. 48
  36. 51
  37. 68
  38. 26
  39. 45
  40. 79

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