← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 70 · 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 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 20 (c) 70 (d) 52
  2. 2.What is the average of 54, 53, 52, 55, 36 and 32? (a) 48 (b) 47 (c) 49 (d) 46
  3. 3.What is the average of all the whole numbers from 53 to 93? (a) 74 (b) 73 (c) 20 (d) 40
  4. 4.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 16 (b) 28 (c) 32 (d) 40
  5. 5.What is the average of all the whole numbers from 12 to 36? (a) 23 (b) 24 (c) 12 (d) 25
  6. 6.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 31 (b) 43 (c) 89 (d) 32
  7. 7.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 64 (c) 39 (d) 8
  8. 8.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 26 (b) 83 (c) 40 (d) 25
  9. 9.What is the average of all the whole numbers from 14 to 28? (a) 14 (b) 22 (c) 7 (d) 21
  10. 10.What is the average of 53, 69, 53, 67 and 98? (a) 67 (b) 68 (c) 69 (d) 85
  11. 11.What is the average of all the whole numbers from 51 to 79? (a) 28 (b) 66 (c) 14 (d) 65
  12. 12.What is the average of 67, 41, 54 and 50? (a) 55 (b) 54 (c) 52 (d) 53
  13. 13.What is the average of all the whole numbers from 41 to 81? (a) 61 (b) 62 (c) 20 (d) 40
  14. 14.What is the average of all the whole numbers from 58 to 78? (a) 20 (b) 10 (c) 68 (d) 69
  15. 15.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 52 (c) 54 (d) 94
  16. 16.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 47 (c) 95 (d) 45
  17. 17.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 38 (c) 14 (d) 50
  18. 18.What is the average of 26, 26, 22 and 70? (a) 37 (b) 48 (c) 35 (d) 36
  19. 19.What is the average of 21, 20, 24 and 23? (a) 21 (b) 24 (c) 23 (d) 22
  20. 20.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 67 (b) 12 (c) 57 (d) 59
  21. 21.What is the average of 86, 72, 88 and 66? (a) 78 (b) 77 (c) 104 (d) 79
  22. 22.What is the average of all the whole numbers from 40 to 52? (a) 46 (b) 6 (c) 47 (d) 12
  23. 23.What is the average of all the whole numbers from 28 to 34? (a) 31 (b) 32 (c) 3 (d) 6
  24. 24.What is the average of 59, 54, 70 and 81? (a) 67 (b) 66 (c) 65 (d) 88
  25. 25.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 28? (a) 28 (b) 42 (c) 30 (d) 16
  26. 26.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 42 (b) 41 (c) 77 (d) 47
  27. 27.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 70 (b) 106 (c) 43 (d) 50
  28. 28.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 80 (c) 65 (d) 129
  29. 29.What is the average of 21, 26, 38, 26, 48 and 45? (a) 35 (b) 36 (c) 33 (d) 34
  30. 30.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 73 (c) 16 (d) 59
  31. 31.What is the average of 46, 26, 34 and 46? (a) 38 (b) 40 (c) 39 (d) 37
  32. 32.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 33 (c) 24 (d) 63
  33. 33.What is the average of all the whole numbers from 46 to 68? (a) 57 (b) 58 (c) 11 (d) 22
  34. 34.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 21 (b) 95 (c) 49 (d) 67
  35. 35.What is the average of 48, 42, 43 and 43? (a) 43 (b) 46 (c) 45 (d) 44
  36. 36.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 43 (b) 18 (c) 38 (d) 23
  37. 37.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 27 (c) 87 (d) 63
  38. 38.What is the average of all the whole numbers from 26 to 60? (a) 17 (b) 44 (c) 34 (d) 43
  39. 39.What is the average of all the whole numbers from 39 to 75? (a) 36 (b) 18 (c) 57 (d) 58
  40. 40.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 28 (c) 29 (d) 83

Answer key

  1. 70
  2. 47
  3. 73
  4. 40
  5. 24
  6. 31
  7. 39
  8. 25
  9. 21
  10. 68
  11. 65
  12. 53
  13. 61
  14. 68
  15. 94
  16. 44
  17. 50
  18. 36
  19. 22
  20. 67
  21. 78
  22. 46
  23. 31
  24. 66
  25. 42
  26. 77
  27. 106
  28. 129
  29. 34
  30. 73
  31. 38
  32. 54
  33. 57
  34. 67
  35. 44
  36. 38
  37. 87
  38. 43
  39. 57
  40. 28

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