← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 359 · 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 6, 34, 33, 20 and 12? (a) 20 (b) 21 (c) 23 (d) 22
  2. 2.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 15 (b) 42 (c) 81 (d) 54
  3. 3.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 24 (b) 44 (c) 45 (d) 46
  4. 4.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 23 (b) 49 (c) 12 (d) 11
  5. 5.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 78 (c) 62 (d) 20
  6. 6.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 37 (b) 6 (c) 63 (d) 32
  7. 7.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 32 (c) 52 (d) 59
  8. 8.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 22 (c) 40 (d) 57
  9. 9.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 28 (b) 34 (c) 29 (d) 69
  10. 10.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 24 (c) 46 (d) 25
  11. 11.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 32? (a) 80 (b) 40 (c) 32 (d) 104
  12. 12.What is the average of 22, 49, 22, 31 and 56? (a) 35 (b) 36 (c) 37 (d) 45
  13. 13.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 63 (c) 95 (d) 46
  14. 14.What is the average of 83, 85, 71 and 69? (a) 78 (b) 76 (c) 79 (d) 77
  15. 15.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 72 (b) 21 (c) 57 (d) 54
  16. 16.What is the average of all the whole numbers from 16 to 32? (a) 25 (b) 24 (c) 8 (d) 16
  17. 17.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 9 (b) 25 (c) 8 (d) 12
  18. 18.What is the average of all the whole numbers from 36 to 72? (a) 54 (b) 18 (c) 55 (d) 36
  19. 19.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) 14 (b) 23 (c) 20 (d) 11
  20. 20.What is the average of 48, 46, 36 and 54? (a) 48 (b) 47 (c) 46 (d) 45
  21. 21.What is the average of all the whole numbers from 22 to 54? (a) 32 (b) 16 (c) 38 (d) 39
  22. 22.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 115 (c) 59 (d) 70
  23. 23.What is the average of all the whole numbers from 44 to 70? (a) 26 (b) 13 (c) 57 (d) 58
  24. 24.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 113 (c) 56 (d) 112
  25. 25.What is the average of all the whole numbers from 25 to 53? (a) 14 (b) 39 (c) 40 (d) 28
  26. 26.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 20 (b) 34 (c) 32 (d) 18
  27. 27.What is the average of all the whole numbers from 14 to 34? (a) 20 (b) 25 (c) 10 (d) 24
  28. 28.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 42 (c) 71 (d) 70
  29. 29.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 18 (b) 21 (c) 36 (d) 39
  30. 30.What is the average of all the whole numbers from 48 to 82? (a) 17 (b) 65 (c) 66 (d) 34
  31. 31.What is the average of 60, 82, 77 and 57? (a) 92 (b) 70 (c) 68 (d) 69
  32. 32.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 102 (b) 25 (c) 49 (d) 26
  33. 33.What is the average of all the whole numbers from 12 to 52? (a) 40 (b) 33 (c) 20 (d) 32
  34. 34.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 46? (a) 53 (b) 63 (c) 102 (d) 46
  35. 35.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 41 (b) 12 (c) 38 (d) 47
  36. 36.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 56 (c) 68 (d) 24
  37. 37.What is the average of 65, 71, 73 and 27? (a) 60 (b) 58 (c) 59 (d) 61
  38. 38.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 23 (b) 11 (c) 7 (d) 8
  39. 39.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 17 (c) 43 (d) 16
  40. 40.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 115 (c) 64 (d) 67

Answer key

  1. 21
  2. 54
  3. 45
  4. 11
  5. 78
  6. 37
  7. 52
  8. 57
  9. 28
  10. 46
  11. 104
  12. 36
  13. 95
  14. 77
  15. 72
  16. 24
  17. 8
  18. 54
  19. 23
  20. 46
  21. 38
  22. 115
  23. 57
  24. 112
  25. 39
  26. 34
  27. 24
  28. 70
  29. 36
  30. 65
  31. 69
  32. 25
  33. 32
  34. 102
  35. 47
  36. 68
  37. 59
  38. 7
  39. 16
  40. 115

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