← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 156 · 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.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 46? (a) 49 (b) 18 (c) 46 (d) 61
  2. 2.What is the average of all the whole numbers from 31 to 71? (a) 40 (b) 51 (c) 20 (d) 52
  3. 3.What is the average of 59, 57, 83 and 77? (a) 70 (b) 92 (c) 68 (d) 69
  4. 4.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 36 (b) 43 (c) 87 (d) 37
  5. 5.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 4 (b) 42 (c) 83 (d) 45
  6. 6.What is the average of 46, 59, 57, 41 and 22? (a) 44 (b) 45 (c) 46 (d) 47
  7. 7.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 12 (b) 45 (c) 24 (d) 33
  8. 8.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 42 (b) 72 (c) 65 (d) 100
  9. 9.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 7 (b) 19 (c) 16 (d) 10
  10. 10.What is the average of all the whole numbers from 34 to 48? (a) 14 (b) 41 (c) 42 (d) 7
  11. 11.What is the average of all the whole numbers from 22 to 60? (a) 41 (b) 42 (c) 38 (d) 19
  12. 12.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 59 (c) 26 (d) 27
  13. 13.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 45 (c) 53 (d) 16
  14. 14.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 27 (b) 36 (c) 75 (d) 28
  15. 15.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 69 (b) 30 (c) 37 (d) 62
  16. 16.What is the average of all the whole numbers from 16 to 56? (a) 36 (b) 37 (c) 20 (d) 40
  17. 17.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 68 (b) 117 (c) 61 (d) 63
  18. 18.What is the average of all the whole numbers from 60 to 74? (a) 68 (b) 67 (c) 7 (d) 14
  19. 19.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 61 (c) 16 (d) 73
  20. 20.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 56? (a) 35 (b) 56 (c) 86 (d) 61
  21. 21.What is the average of all the whole numbers from 17 to 27? (a) 10 (b) 5 (c) 23 (d) 22
  22. 22.What is the average of 79, 68, 80 and 65? (a) 74 (b) 72 (c) 73 (d) 75
  23. 23.What is the average of 37, 13, 19, 37, 16 and 28? (a) 25 (b) 24 (c) 26 (d) 30
  24. 24.What is the average of all the whole numbers from 12 to 44? (a) 28 (b) 16 (c) 29 (d) 32
  25. 25.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 32 (c) 63 (d) 39
  26. 26.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 81 (c) 36 (d) 37
  27. 27.What is the average of all the whole numbers from 53 to 63? (a) 59 (b) 10 (c) 58 (d) 5
  28. 28.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 83 (c) 55 (d) 15
  29. 29.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) 40 (b) 66 (c) 61 (d) 96
  30. 30.What is the average of 40, 28, 37, 27, 50 and 34? (a) 37 (b) 35 (c) 38 (d) 36
  31. 31.What is the average of all the whole numbers from 26 to 60? (a) 17 (b) 34 (c) 44 (d) 43
  32. 32.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 20 (c) 65 (d) 75
  33. 33.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 33 (c) 39 (d) 12
  34. 34.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 83 (c) 48 (d) 45
  35. 35.What is the average of 52, 49, 45, 45, 64 and 57? (a) 51 (b) 52 (c) 53 (d) 54
  36. 36.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 57 (c) 35 (d) 27
  37. 37.What is the average of 62, 50, 52, 57, 55 and 48? (a) 53 (b) 55 (c) 54 (d) 56
  38. 38.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 60 (c) 20 (d) 72
  39. 39.What is the average of 56, 51, 38 and 35? (a) 60 (b) 46 (c) 45 (d) 44
  40. 40.What is the average of 78, 72, 62 and 48? (a) 67 (b) 66 (c) 65 (d) 64

Answer key

  1. 61
  2. 51
  3. 69
  4. 36
  5. 45
  6. 45
  7. 33
  8. 100
  9. 16
  10. 41
  11. 41
  12. 26
  13. 53
  14. 27
  15. 62
  16. 36
  17. 117
  18. 67
  19. 73
  20. 86
  21. 22
  22. 73
  23. 25
  24. 28
  25. 63
  26. 36
  27. 58
  28. 55
  29. 96
  30. 36
  31. 43
  32. 75
  33. 39
  34. 83
  35. 52
  36. 57
  37. 54
  38. 72
  39. 45
  40. 65

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