← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 194 · 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 43, 40, 32, 27 and 53? (a) 39 (b) 40 (c) 38 (d) 41
  2. 2.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 39 (c) 80 (d) 29
  3. 3.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 46 (b) 34 (c) 35 (d) 94
  4. 4.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 24 (b) 35 (c) 23 (d) 73
  5. 5.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 60 (c) 81 (d) 27
  6. 6.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 52 (b) 50 (c) 58 (d) 10
  7. 7.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 42? (a) 63 (b) 28 (c) 49 (d) 42
  8. 8.What is the average of 62, 63, 68, 79 and 113? (a) 77 (b) 78 (c) 79 (d) 76
  9. 9.What is the average of 71, 66, 52 and 59? (a) 61 (b) 62 (c) 64 (d) 63
  10. 10.What is the average of 62, 39, 67, 43, 52 and 61? (a) 56 (b) 54 (c) 55 (d) 53
  11. 11.What is the average of 13, 14, 27 and 38? (a) 24 (b) 25 (c) 23 (d) 22
  12. 12.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 24 (d) 55
  13. 13.What is the average of 71, 87, 77, 91, 92 and 50? (a) 80 (b) 79 (c) 78 (d) 77
  14. 14.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 10 (b) 27 (c) 11 (d) 13
  15. 15.What is the average of all the whole numbers from 37 to 77? (a) 40 (b) 58 (c) 20 (d) 57
  16. 16.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 20 (b) 50 (c) 45 (d) 60
  17. 17.What is the average of 26, 49, 22 and 47? (a) 35 (b) 48 (c) 36 (d) 37
  18. 18.What is the average of all the whole numbers from 8 to 44? (a) 27 (b) 18 (c) 36 (d) 26
  19. 19.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 36 (b) 72 (c) 48 (d) 42
  20. 20.What is the average of all the whole numbers from 21 to 45? (a) 34 (b) 12 (c) 24 (d) 33
  21. 21.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 39 (c) 43 (d) 5
  22. 22.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 45? (a) 52 (b) 101 (c) 63 (d) 45
  23. 23.The average of 4 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) 15 (d) 14
  24. 24.What is the average of all the whole numbers from 44 to 84? (a) 64 (b) 20 (c) 65 (d) 40
  25. 25.What is the average of 46, 57, 41 and 40? (a) 45 (b) 48 (c) 46 (d) 47
  26. 26.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 5 (b) 85 (c) 40 (d) 6
  27. 27.What is the average of 59, 69, 74 and 90? (a) 74 (b) 72 (c) 73 (d) 75
  28. 28.What is the average of all the whole numbers from 27 to 53? (a) 40 (b) 26 (c) 41 (d) 13
  29. 29.What is the average of all the whole numbers from 39 to 61? (a) 11 (b) 51 (c) 22 (d) 50
  30. 30.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 48 (b) 58 (c) 64 (d) 100
  31. 31.What is the average of all the whole numbers from 16 to 22? (a) 3 (b) 19 (c) 6 (d) 20
  32. 32.What is the average of 57, 46, 38 and 39? (a) 46 (b) 60 (c) 44 (d) 45
  33. 33.What is the average of 32, 27, 53, 54, 36 and 32? (a) 41 (b) 39 (c) 38 (d) 40
  34. 34.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 70 (c) 53 (d) 20
  35. 35.What is the average of 35, 30, 19, 30 and 41? (a) 31 (b) 32 (c) 33 (d) 30
  36. 36.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 52 (b) 48 (c) 28 (d) 72
  37. 37.What is the average of all the whole numbers from 42 to 70? (a) 28 (b) 57 (c) 14 (d) 56
  38. 38.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 25 (b) 31 (c) 17 (d) 11
  39. 39.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 55 (b) 25 (c) 35 (d) 40
  40. 40.What is the average of 68, 84, 71, 62 and 65? (a) 69 (b) 71 (c) 72 (d) 70

Answer key

  1. 39
  2. 29
  3. 34
  4. 23
  5. 81
  6. 58
  7. 63
  8. 77
  9. 62
  10. 54
  11. 23
  12. 55
  13. 78
  14. 10
  15. 57
  16. 60
  17. 36
  18. 26
  19. 72
  20. 33
  21. 43
  22. 101
  23. 14
  24. 64
  25. 46
  26. 5
  27. 73
  28. 40
  29. 50
  30. 100
  31. 19
  32. 45
  33. 39
  34. 53
  35. 31
  36. 72
  37. 56
  38. 31
  39. 55
  40. 70

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