← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 380 · 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 37, 31, 41, 33, 11 and 3? (a) 27 (b) 26 (c) 28 (d) 25
  2. 2.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 85 (b) 36 (c) 53 (d) 57
  3. 3.What is the average of 25, 41, 11, 36, 38 and 5? (a) 28 (b) 26 (c) 27 (d) 25
  4. 4.What is the average of all the whole numbers from 26 to 60? (a) 17 (b) 43 (c) 34 (d) 44
  5. 5.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 28 (b) 52 (c) 45 (d) 66
  6. 6.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 46 (c) 12 (d) 55
  7. 7.What is the average of 66, 54, 51, 66, 75 and 66? (a) 63 (b) 64 (c) 62 (d) 65
  8. 8.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 21 (c) 68 (d) 53
  9. 9.What is the average of 52, 70, 63, 56, 50 and 93? (a) 64 (b) 65 (c) 63 (d) 66
  10. 10.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 77 (b) 56 (c) 24 (d) 59
  11. 11.What is the average of all the whole numbers from 38 to 74? (a) 57 (b) 18 (c) 56 (d) 36
  12. 12.What is the average of all the whole numbers from 38 to 64? (a) 52 (b) 13 (c) 26 (d) 51
  13. 13.What is the average of 41, 40, 26, 20 and 38? (a) 32 (b) 34 (c) 35 (d) 33
  14. 14.What is the average of 51, 56, 58 and 95? (a) 64 (b) 66 (c) 67 (d) 65
  15. 15.What is the average of all the whole numbers from 20 to 36? (a) 29 (b) 28 (c) 16 (d) 8
  16. 16.What is the average of all the whole numbers from 56 to 78? (a) 67 (b) 68 (c) 11 (d) 22
  17. 17.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 44? (a) 65 (b) 28 (c) 44 (d) 51
  18. 18.What is the average of all the whole numbers from 28 to 50? (a) 39 (b) 11 (c) 22 (d) 40
  19. 19.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 8 (b) 18 (c) 16 (d) 10
  20. 20.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 43 (b) 12 (c) 35 (d) 33
  21. 21.What is the average of all the whole numbers from 10 to 48? (a) 29 (b) 19 (c) 30 (d) 38
  22. 22.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 33 (d) 53
  23. 23.What is the average of 66, 86, 74, 57, 58 and 85? (a) 72 (b) 73 (c) 71 (d) 70
  24. 24.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 61 (c) 56 (d) 103
  25. 25.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) 7 (b) 23 (c) 8 (d) 11
  26. 26.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 61 (c) 32 (d) 60
  27. 27.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 39 (c) 16 (d) 17
  28. 28.What is the average of 63, 41, 42, 52 and 52? (a) 51 (b) 49 (c) 50 (d) 52
  29. 29.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 25 (c) 27 (d) 47
  30. 30.What is the average of all the whole numbers from 31 to 51? (a) 42 (b) 20 (c) 10 (d) 41
  31. 31.What is the average of all the whole numbers from 17 to 39? (a) 11 (b) 22 (c) 28 (d) 29
  32. 32.What is the average of all the whole numbers from 39 to 63? (a) 51 (b) 12 (c) 52 (d) 24
  33. 33.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 8 (c) 4 (d) 15
  34. 34.What is the average of 23, 16, 10, 16, 18 and 55? (a) 23 (b) 22 (c) 25 (d) 24
  35. 35.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 19 (c) 34 (d) 35
  36. 36.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 20 (b) 64 (c) 74 (d) 59
  37. 37.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 38 (b) 8 (c) 31 (d) 61
  38. 38.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 51? (a) 24 (b) 51 (c) 72 (d) 54
  39. 39.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 73 (c) 41 (d) 37
  40. 40.What is the average of all the whole numbers from 14 to 30? (a) 8 (b) 22 (c) 16 (d) 23

Answer key

  1. 26
  2. 85
  3. 26
  4. 43
  5. 66
  6. 55
  7. 63
  8. 68
  9. 64
  10. 77
  11. 56
  12. 51
  13. 33
  14. 65
  15. 28
  16. 67
  17. 65
  18. 39
  19. 16
  20. 43
  21. 29
  22. 53
  23. 71
  24. 103
  25. 7
  26. 60
  27. 16
  28. 50
  29. 47
  30. 41
  31. 28
  32. 51
  33. 15
  34. 23
  35. 35
  36. 74
  37. 38
  38. 72
  39. 73
  40. 22

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