← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 109 · 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 30 to 42? (a) 36 (b) 6 (c) 37 (d) 12
  2. 2.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 8 (b) 38 (c) 34 (d) 32
  3. 3.What is the average of 38, 33, 44, 39, 35 and 63? (a) 41 (b) 43 (c) 42 (d) 44
  4. 4.What is the average of all the whole numbers from 36 to 46? (a) 5 (b) 10 (c) 42 (d) 41
  5. 5.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 15 (c) 26 (d) 27
  6. 6.What is the average of all the whole numbers from 59 to 77? (a) 9 (b) 69 (c) 18 (d) 68
  7. 7.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 16 (b) 97 (c) 17 (d) 46
  8. 8.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 16 (b) 30 (c) 29 (d) 31
  9. 9.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) 70 (b) 48 (c) 55 (d) 111
  10. 10.What is the average of 11, 18, 21, 14 and 46? (a) 24 (b) 23 (c) 21 (d) 22
  11. 11.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) 56 (d) 17
  12. 12.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 8 (b) 37 (c) 59 (d) 30
  13. 13.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 45 (b) 57 (c) 43 (d) 16
  14. 14.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 44? (a) 8 (b) 50 (c) 44 (d) 46
  15. 15.What is the average of 40, 36, 23, 47, 30 and 40? (a) 36 (b) 38 (c) 37 (d) 35
  16. 16.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 36 (b) 74 (c) 30 (d) 31
  17. 17.What is the average of 57, 44, 61, 62, 67 and 57? (a) 59 (b) 57 (c) 60 (d) 58
  18. 18.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 25 (b) 54 (c) 39 (d) 34
  19. 19.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 7 (c) 15 (d) 8
  20. 20.What is the average of all the whole numbers from 35 to 67? (a) 32 (b) 16 (c) 51 (d) 52
  21. 21.What is the average of all the whole numbers from 48 to 80? (a) 16 (b) 65 (c) 64 (d) 32
  22. 22.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 40 (b) 31 (c) 53 (d) 18
  23. 23.What is the average of 64, 68, 87, 80, 89 and 62? (a) 75 (b) 74 (c) 90 (d) 76
  24. 24.What is the average of 35, 36, 56 and 53? (a) 45 (b) 60 (c) 44 (d) 46
  25. 25.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 49 (b) 76 (c) 34 (d) 41
  26. 26.What is the average of 34, 42, 36 and 44? (a) 40 (b) 38 (c) 52 (d) 39
  27. 27.What is the average of 21, 44, 20, 46 and 29? (a) 31 (b) 40 (c) 33 (d) 32
  28. 28.What is the average of 52, 56, 56, 76, 73 and 65? (a) 62 (b) 64 (c) 65 (d) 63
  29. 29.What is the average of all the whole numbers from 25 to 33? (a) 8 (b) 30 (c) 29 (d) 4
  30. 30.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 39 (b) 46 (c) 77 (d) 8
  31. 31.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 32 (b) 29 (c) 25 (d) 53
  32. 32.What is the average of 78, 73, 67, 93 and 79? (a) 80 (b) 78 (c) 77 (d) 79
  33. 33.What is the average of 59, 71, 69, 65, 65 and 19? (a) 58 (b) 59 (c) 57 (d) 60
  34. 34.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 4 (b) 25 (c) 16 (d) 13
  35. 35.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 8 (b) 38 (c) 32 (d) 62
  36. 36.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 35 (c) 55 (d) 28
  37. 37.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 41 (c) 62 (d) 24
  38. 38.What is the average of all the whole numbers from 10 to 42? (a) 27 (b) 16 (c) 26 (d) 32
  39. 39.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 29 (b) 28 (c) 20 (d) 12
  40. 40.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 29 (c) 57 (d) 32

Answer key

  1. 36
  2. 38
  3. 42
  4. 41
  5. 27
  6. 68
  7. 16
  8. 30
  9. 111
  10. 22
  11. 17
  12. 37
  13. 57
  14. 50
  15. 36
  16. 30
  17. 58
  18. 54
  19. 7
  20. 51
  21. 64
  22. 53
  23. 75
  24. 45
  25. 76
  26. 39
  27. 32
  28. 63
  29. 29
  30. 46
  31. 53
  32. 78
  33. 58
  34. 16
  35. 38
  36. 35
  37. 62
  38. 26
  39. 28
  40. 57

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