← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 800 · 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 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 40 (b) 87 (c) 63 (d) 55
  2. 2.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 96 (b) 70 (c) 24 (d) 50
  3. 3.What is the average of all the whole numbers from 52 to 68? (a) 61 (b) 60 (c) 16 (d) 8
  4. 4.What is the average of all the whole numbers from 58 to 96? (a) 77 (b) 78 (c) 19 (d) 38
  5. 5.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 23 (b) 45 (c) 27 (d) 5
  6. 6.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 36 (b) 57 (c) 61 (d) 89
  7. 7.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 53 (b) 32 (c) 29 (d) 37
  8. 8.What is the average of 55, 50, 49 and 94? (a) 62 (b) 63 (c) 61 (d) 64
  9. 9.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 24 (b) 47 (c) 26 (d) 29
  10. 10.What is the average of all the whole numbers from 20 to 38? (a) 9 (b) 18 (c) 30 (d) 29
  11. 11.What is the average of 27, 46, 20, 21 and 46? (a) 31 (b) 32 (c) 33 (d) 40
  12. 12.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 48 (b) 30 (c) 32 (d) 20
  13. 13.What is the average of 59, 57, 81 and 79? (a) 92 (b) 70 (c) 69 (d) 68
  14. 14.What is the average of 42, 61, 62, 54 and 66? (a) 59 (b) 58 (c) 57 (d) 56
  15. 15.What is the average of 12, 39, 13, 17, 32 and 37? (a) 24 (b) 25 (c) 26 (d) 30
  16. 16.What is the average of all the whole numbers from 9 to 25? (a) 16 (b) 8 (c) 17 (d) 18
  17. 17.What is the average of all the whole numbers from 11 to 17? (a) 6 (b) 3 (c) 14 (d) 15
  18. 18.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 50 (c) 58 (d) 103
  19. 19.What is the average of 45, 19, 30, 16 and 45? (a) 32 (b) 31 (c) 33 (d) 30
  20. 20.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 16 (b) 40 (c) 52 (d) 38
  21. 21.What is the average of 30, 10, 16, 21 and 43? (a) 25 (b) 30 (c) 24 (d) 23
  22. 22.What is the average of 22, 27, 18 and 61? (a) 31 (b) 32 (c) 33 (d) 34
  23. 23.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) 46 (c) 25 (d) 24
  24. 24.What is the average of 64, 53, 67, 54, 58 and 46? (a) 58 (b) 56 (c) 59 (d) 57
  25. 25.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 119 (b) 63 (c) 72 (d) 55
  26. 26.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 40 (c) 54 (d) 14
  27. 27.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 59 (b) 79 (c) 21 (d) 41
  28. 28.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 14 (c) 17 (d) 32
  29. 29.What is the average of 34, 29, 42, 31 and 84? (a) 55 (b) 45 (c) 43 (d) 44
  30. 30.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 48 (c) 101 (d) 47
  31. 31.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 35? (a) 63 (b) 32 (c) 35 (d) 39
  32. 32.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 62 (b) 54 (c) 12 (d) 52
  33. 33.What is the average of 56, 64, 57, 65, 43 and 33? (a) 54 (b) 52 (c) 55 (d) 53
  34. 34.What is the average of 21, 41, 23, 36, 20 and 45? (a) 30 (b) 31 (c) 33 (d) 32
  35. 35.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 71 (c) 6 (d) 41
  36. 36.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 14 (c) 46 (d) 56
  37. 37.What is the average of 57, 76, 74, 79 and 59? (a) 71 (b) 69 (c) 68 (d) 70
  38. 38.What is the average of all the whole numbers from 36 to 74? (a) 19 (b) 56 (c) 38 (d) 55
  39. 39.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 22 (b) 36 (c) 21 (d) 75
  40. 40.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 60 (c) 68 (d) 10

Answer key

  1. 87
  2. 70
  3. 60
  4. 77
  5. 27
  6. 89
  7. 53
  8. 62
  9. 47
  10. 29
  11. 32
  12. 48
  13. 69
  14. 57
  15. 25
  16. 17
  17. 14
  18. 103
  19. 31
  20. 52
  21. 24
  22. 32
  23. 46
  24. 57
  25. 119
  26. 40
  27. 59
  28. 29
  29. 44
  30. 47
  31. 63
  32. 62
  33. 53
  34. 31
  35. 41
  36. 56
  37. 69
  38. 55
  39. 21
  40. 68

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