← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 259 · 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 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 67 (c) 37 (d) 36
  2. 2.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 59? (a) 60 (b) 113 (c) 59 (d) 65
  3. 3.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 27 (b) 67 (c) 26 (d) 33
  4. 4.What is the average of all the whole numbers from 24 to 64? (a) 20 (b) 45 (c) 44 (d) 40
  5. 5.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 30 (c) 24 (d) 10
  6. 6.What is the average of all the whole numbers from 26 to 62? (a) 36 (b) 44 (c) 45 (d) 18
  7. 7.What is the average of 34, 61, 35, 43, 45 and 58? (a) 46 (b) 45 (c) 47 (d) 48
  8. 8.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 89 (c) 30 (d) 69
  9. 9.What is the average of 61, 67, 65, 73, 83 and 95? (a) 74 (b) 76 (c) 73 (d) 75
  10. 10.What is the average of all the whole numbers from 38 to 78? (a) 20 (b) 59 (c) 40 (d) 58
  11. 11.What is the average of 72, 81, 58, 68 and 81? (a) 72 (b) 90 (c) 73 (d) 71
  12. 12.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 81 (b) 60 (c) 28 (d) 67
  13. 13.What is the average of all the whole numbers from 45 to 71? (a) 26 (b) 59 (c) 13 (d) 58
  14. 14.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 65? (a) 35 (b) 65 (c) 72 (d) 93
  15. 15.What is the average of all the whole numbers from 55 to 75? (a) 20 (b) 66 (c) 10 (d) 65
  16. 16.What is the average of 68, 85, 74 and 53? (a) 70 (b) 71 (c) 69 (d) 72
  17. 17.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 12 (b) 40 (c) 49 (d) 77
  18. 18.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 78 (b) 38 (c) 48 (d) 46
  19. 19.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 62? (a) 62 (b) 20 (c) 66 (d) 78
  20. 20.What is the average of 54, 53, 41, 59, 61 and 26? (a) 50 (b) 51 (c) 48 (d) 49
  21. 21.What is the average of all the whole numbers from 15 to 41? (a) 29 (b) 28 (c) 26 (d) 13
  22. 22.What is the average of 32, 19, 9 and 20? (a) 22 (b) 20 (c) 21 (d) 19
  23. 23.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 13 (c) 26 (d) 61
  24. 24.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 45 (b) 12 (c) 37 (d) 35
  25. 25.What is the average of 67, 55, 55, 70 and 48? (a) 60 (b) 58 (c) 59 (d) 61
  26. 26.What is the average of 78, 60, 87 and 71? (a) 76 (b) 73 (c) 75 (d) 74
  27. 27.What is the average of 68, 71, 85 and 60? (a) 73 (b) 72 (c) 70 (d) 71
  28. 28.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) 56 (b) 86 (c) 61 (d) 35
  29. 29.What is the average of 68, 58, 69, 59 and 106? (a) 73 (b) 72 (c) 71 (d) 90
  30. 30.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 28 (b) 46 (c) 53 (d) 67
  31. 31.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 30 (c) 55 (d) 54
  32. 32.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) 66 (b) 40 (c) 61 (d) 96
  33. 33.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 105 (b) 60 (c) 50 (d) 65
  34. 34.What is the average of all the whole numbers from 13 to 39? (a) 13 (b) 26 (c) 25 (d) 27
  35. 35.What is the average of all the whole numbers from 56 to 76? (a) 67 (b) 10 (c) 20 (d) 66
  36. 36.What is the average of all the whole numbers from 52 to 86? (a) 17 (b) 70 (c) 69 (d) 34
  37. 37.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 98 (b) 42 (c) 49 (d) 63
  38. 38.What is the average of 25, 37, 34, 51, 43 and 44? (a) 38 (b) 40 (c) 39 (d) 41
  39. 39.What is the average of 64, 50, 52 and 66? (a) 57 (b) 58 (c) 60 (d) 59
  40. 40.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 47 (c) 7 (d) 6

Answer key

  1. 67
  2. 113
  3. 26
  4. 44
  5. 30
  6. 44
  7. 46
  8. 89
  9. 74
  10. 58
  11. 72
  12. 81
  13. 58
  14. 93
  15. 65
  16. 70
  17. 49
  18. 78
  19. 78
  20. 49
  21. 28
  22. 20
  23. 61
  24. 45
  25. 59
  26. 74
  27. 71
  28. 86
  29. 72
  30. 67
  31. 54
  32. 96
  33. 105
  34. 26
  35. 66
  36. 69
  37. 98
  38. 39
  39. 58
  40. 6

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