← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 29 · 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 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 21 (b) 56 (c) 74 (d) 59
  2. 2.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 62 (c) 40 (d) 49
  3. 3.What is the average of all the whole numbers from 7 to 33? (a) 21 (b) 26 (c) 13 (d) 20
  4. 4.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 24 (c) 56 (d) 38
  5. 5.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 45 (c) 101 (d) 44
  6. 6.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 11 (b) 2 (c) 1 (d) 24
  7. 7.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) 14 (c) 49 (d) 15
  8. 8.What is the average of 44, 43, 59, 54 and 90? (a) 57 (b) 59 (c) 58 (d) 60
  9. 9.What is the average of 15, 14, 27 and 28? (a) 22 (b) 20 (c) 28 (d) 21
  10. 10.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 100 (c) 44 (d) 72
  11. 11.What is the average of all the whole numbers from 17 to 33? (a) 16 (b) 25 (c) 8 (d) 26
  12. 12.What is the average of all the whole numbers from 58 to 96? (a) 19 (b) 38 (c) 78 (d) 77
  13. 13.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 42 (b) 58 (c) 88 (d) 52
  14. 14.What is the average of 26, 11, 36, 25 and 32? (a) 27 (b) 28 (c) 26 (d) 25
  15. 15.What is the average of 87, 68, 74, 81, 87 and 65? (a) 79 (b) 78 (c) 77 (d) 76
  16. 16.What is the average of all the whole numbers from 39 to 59? (a) 20 (b) 49 (c) 10 (d) 50
  17. 17.What is the average of 73, 64, 75, 68 and 105? (a) 77 (b) 76 (c) 78 (d) 79
  18. 18.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 46? (a) 24 (b) 64 (c) 46 (d) 52
  19. 19.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 71 (b) 107 (c) 48 (d) 65
  20. 20.What is the average of 19, 34, 29, 31, 10 and 27? (a) 26 (b) 24 (c) 25 (d) 30
  21. 21.What is the average of 49, 65, 57, 47 and 62? (a) 56 (b) 70 (c) 55 (d) 57
  22. 22.What is the average of 61, 74, 79 and 66? (a) 71 (b) 72 (c) 70 (d) 69
  23. 23.What is the average of 70, 68, 65, 76 and 116? (a) 80 (b) 78 (c) 79 (d) 81
  24. 24.What is the average of 40, 20, 14 and 42? (a) 30 (b) 29 (c) 31 (d) 28
  25. 25.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 33? (a) 33 (b) 39 (c) 24 (d) 51
  26. 26.What is the average of 40, 60, 55, 59, 48 and 68? (a) 66 (b) 56 (c) 54 (d) 55
  27. 27.What is the average of all the whole numbers from 56 to 64? (a) 8 (b) 61 (c) 60 (d) 4
  28. 28.What is the average of 68, 74, 64 and 42? (a) 63 (b) 61 (c) 64 (d) 62
  29. 29.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 80 (c) 40 (d) 56
  30. 30.What is the average of all the whole numbers from 5 to 27? (a) 11 (b) 16 (c) 22 (d) 17
  31. 31.What is the average of 56, 52, 31 and 41? (a) 60 (b) 45 (c) 46 (d) 44
  32. 32.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 31 (b) 25 (c) 23 (d) 10
  33. 33.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 18 (b) 73 (c) 17 (d) 35
  34. 34.What is the average of 80, 70, 67, 74 and 109? (a) 81 (b) 80 (c) 79 (d) 100
  35. 35.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 54? (a) 60 (b) 78 (c) 54 (d) 30
  36. 36.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 30 (c) 53 (d) 4
  37. 37.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 26? (a) 20 (b) 26 (c) 28 (d) 44
  38. 38.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 45? (a) 54 (b) 45 (c) 93 (d) 51
  39. 39.What is the average of 64, 69, 49, 47 and 81? (a) 61 (b) 62 (c) 64 (d) 63
  40. 40.What is the average of 43, 17, 19, 30, 24 and 59? (a) 33 (b) 34 (c) 31 (d) 32

Answer key

  1. 74
  2. 62
  3. 20
  4. 56
  5. 44
  6. 1
  7. 14
  8. 58
  9. 21
  10. 100
  11. 25
  12. 77
  13. 88
  14. 26
  15. 77
  16. 49
  17. 77
  18. 64
  19. 107
  20. 25
  21. 56
  22. 70
  23. 79
  24. 29
  25. 51
  26. 55
  27. 60
  28. 62
  29. 80
  30. 16
  31. 45
  32. 31
  33. 17
  34. 80
  35. 78
  36. 30
  37. 44
  38. 93
  39. 62
  40. 32

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