← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 899 · 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 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 23 (b) 58 (c) 22 (d) 28
  2. 2.What is the average of all the whole numbers from 32 to 58? (a) 26 (b) 13 (c) 46 (d) 45
  3. 3.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 18 (c) 57 (d) 41
  4. 4.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 15 (c) 58 (d) 14
  5. 5.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 25 (c) 75 (d) 24
  6. 6.What is the average of all the whole numbers from 21 to 39? (a) 18 (b) 30 (c) 31 (d) 9
  7. 7.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 31 (c) 30 (d) 56
  8. 8.What is the average of all the whole numbers from 39 to 51? (a) 46 (b) 45 (c) 6 (d) 12
  9. 9.What is the average of all the whole numbers from 44 to 76? (a) 60 (b) 32 (c) 61 (d) 16
  10. 10.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 44 (c) 18 (d) 59
  11. 11.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 24 (b) 25 (c) 14 (d) 13
  12. 12.What is the average of 25, 28, 33, 38 and 56? (a) 36 (b) 35 (c) 37 (d) 45
  13. 13.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 43? (a) 43 (b) 48 (c) 78 (d) 40
  14. 14.What is the average of all the whole numbers from 11 to 25? (a) 19 (b) 14 (c) 7 (d) 18
  15. 15.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 12 (b) 15 (c) 24 (d) 27
  16. 16.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) 45 (b) 25 (c) 29 (d) 24
  17. 17.What is the average of all the whole numbers from 8 to 46? (a) 28 (b) 19 (c) 38 (d) 27
  18. 18.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 5 (c) 31 (d) 14
  19. 19.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 12 (b) 24 (c) 34 (d) 46
  20. 20.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 85 (b) 65 (c) 70 (d) 25
  21. 21.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 90 (b) 63 (c) 66 (d) 30
  22. 22.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 97 (c) 31 (d) 32
  23. 23.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 15 (c) 56 (d) 44
  24. 24.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 28 (b) 35 (c) 39 (d) 59
  25. 25.What is the average of 47, 34, 31 and 28? (a) 35 (b) 34 (c) 37 (d) 36
  26. 26.What is the average of 35, 27, 26 and 76? (a) 41 (b) 43 (c) 40 (d) 42
  27. 27.What is the average of 33, 28, 49 and 46? (a) 38 (b) 52 (c) 39 (d) 40
  28. 28.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 20 (c) 32 (d) 47
  29. 29.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 31 (b) 22 (c) 21 (d) 64
  30. 30.What is the average of 13, 35, 26 and 30? (a) 26 (b) 27 (c) 25 (d) 28
  31. 31.What is the average of 45, 46, 57, 40 and 82? (a) 53 (b) 56 (c) 54 (d) 55
  32. 32.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 45 (c) 24 (d) 63
  33. 33.What is the average of 58, 46, 44, 69 and 68? (a) 59 (b) 57 (c) 56 (d) 58
  34. 34.What is the average of 44, 54, 60 and 22? (a) 46 (b) 45 (c) 60 (d) 44
  35. 35.What is the average of all the whole numbers from 45 to 57? (a) 51 (b) 52 (c) 12 (d) 6
  36. 36.What is the average of 44, 51, 43 and 66? (a) 68 (b) 50 (c) 51 (d) 52
  37. 37.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 19 (b) 21 (c) 35 (d) 37
  38. 38.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 11 (b) 28 (c) 10 (d) 59
  39. 39.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 61 (c) 79 (d) 20
  40. 40.What is the average of 40, 32, 40, 36 and 57? (a) 40 (b) 41 (c) 43 (d) 42

Answer key

  1. 22
  2. 45
  3. 57
  4. 14
  5. 24
  6. 30
  7. 56
  8. 45
  9. 60
  10. 59
  11. 25
  12. 36
  13. 78
  14. 18
  15. 24
  16. 45
  17. 27
  18. 5
  19. 34
  20. 85
  21. 90
  22. 31
  23. 56
  24. 59
  25. 35
  26. 41
  27. 39
  28. 47
  29. 21
  30. 26
  31. 54
  32. 63
  33. 57
  34. 45
  35. 51
  36. 51
  37. 37
  38. 10
  39. 79
  40. 41

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