← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 313 · 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 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 58 (c) 34 (d) 32
  2. 2.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 24? (a) 24 (b) 15 (c) 36 (d) 27
  3. 3.What is the average of 79, 58, 51 and 72? (a) 64 (b) 66 (c) 67 (d) 65
  4. 4.What is the average of 75, 57, 46 and 62? (a) 80 (b) 59 (c) 60 (d) 61
  5. 5.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 26 (c) 39 (d) 7
  6. 6.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 29 (b) 73 (c) 30 (d) 36
  7. 7.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 48 (b) 39 (c) 45 (d) 81
  8. 8.What is the average of 41, 17, 22 and 48? (a) 31 (b) 32 (c) 34 (d) 33
  9. 9.What is the average of 50, 58, 60 and 52? (a) 54 (b) 57 (c) 55 (d) 56
  10. 10.What is the average of 49, 55, 52 and 100? (a) 64 (b) 66 (c) 63 (d) 65
  11. 11.What is the average of 85, 88, 90 and 41? (a) 75 (b) 76 (c) 77 (d) 78
  12. 12.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 20 (b) 87 (c) 61 (d) 46
  13. 13.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) 73 (b) 23 (c) 35 (d) 24
  14. 14.What is the average of 26, 47, 46 and 17? (a) 33 (b) 36 (c) 34 (d) 35
  15. 15.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 45 (c) 94 (d) 63
  16. 16.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 30 (b) 44 (c) 38 (d) 62
  17. 17.What is the average of 73, 66, 67, 69 and 110? (a) 77 (b) 78 (c) 76 (d) 79
  18. 18.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 8 (c) 74 (d) 7
  19. 19.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 65 (c) 32 (d) 30
  20. 20.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 80 (c) 40 (d) 50
  21. 21.What is the average of all the whole numbers from 6 to 46? (a) 27 (b) 40 (c) 26 (d) 20
  22. 22.What is the average of 62, 52, 52, 64, 65 and 83? (a) 63 (b) 64 (c) 62 (d) 65
  23. 23.What is the average of 31, 33, 29 and 63? (a) 40 (b) 38 (c) 52 (d) 39
  24. 24.What is the average of 48, 39, 41, 42, 32 and 44? (a) 43 (b) 40 (c) 42 (d) 41
  25. 25.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 39? (a) 47 (b) 64 (c) 95 (d) 39
  26. 26.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 40 (b) 41 (c) 50 (d) 102
  27. 27.What is the average of 17, 23, 20, 21 and 49? (a) 26 (b) 27 (c) 25 (d) 28
  28. 28.What is the average of all the whole numbers from 57 to 79? (a) 22 (b) 11 (c) 68 (d) 69
  29. 29.What is the average of 89, 65, 74 and 68? (a) 76 (b) 75 (c) 74 (d) 73
  30. 30.What is the average of all the whole numbers from 50 to 78? (a) 65 (b) 14 (c) 28 (d) 64
  31. 31.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 63 (b) 109 (c) 60 (d) 53
  32. 32.What is the average of all the whole numbers from 50 to 90? (a) 20 (b) 40 (c) 70 (d) 71
  33. 33.What is the average of all the whole numbers from 49 to 63? (a) 7 (b) 56 (c) 57 (d) 14
  34. 34.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 79 (b) 39 (c) 36 (d) 35
  35. 35.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 18 (b) 19 (c) 101 (d) 48
  36. 36.What is the average of 31, 37, 39, 22 and 26? (a) 31 (b) 32 (c) 33 (d) 30
  37. 37.What is the average of all the whole numbers from 11 to 47? (a) 30 (b) 18 (c) 36 (d) 29
  38. 38.What is the average of all the whole numbers from 23 to 49? (a) 13 (b) 36 (c) 37 (d) 26
  39. 39.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 11 (c) 19 (d) 32
  40. 40.What is the average of 73, 64, 66 and 89? (a) 75 (b) 72 (c) 74 (d) 73

Answer key

  1. 58
  2. 36
  3. 65
  4. 60
  5. 26
  6. 29
  7. 81
  8. 32
  9. 55
  10. 64
  11. 76
  12. 61
  13. 23
  14. 34
  15. 94
  16. 62
  17. 77
  18. 7
  19. 29
  20. 80
  21. 26
  22. 63
  23. 39
  24. 41
  25. 95
  26. 40
  27. 26
  28. 68
  29. 74
  30. 64
  31. 109
  32. 70
  33. 56
  34. 35
  35. 18
  36. 31
  37. 29
  38. 36
  39. 32
  40. 73

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