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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 60 · 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 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 37 (c) 56 (d) 86
  2. 2.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 16 (c) 53 (d) 67
  3. 3.What is the average of 69, 70, 62 and 27? (a) 76 (b) 56 (c) 58 (d) 57
  4. 4.What is the average of all the whole numbers from 47 to 65? (a) 9 (b) 57 (c) 18 (d) 56
  5. 5.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 45 (c) 79 (d) 39
  6. 6.What is the average of all the whole numbers from 60 to 90? (a) 15 (b) 75 (c) 76 (d) 30
  7. 7.What is the average of all the whole numbers from 18 to 28? (a) 5 (b) 23 (c) 24 (d) 10
  8. 8.What is the average of 77, 71, 62, 81 and 59? (a) 72 (b) 71 (c) 70 (d) 69
  9. 9.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 70 (b) 50 (c) 55 (d) 25
  10. 10.What is the average of all the whole numbers from 15 to 43? (a) 30 (b) 29 (c) 14 (d) 28
  11. 11.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 8 (c) 40 (d) 65
  12. 12.What is the average of 61, 62, 82 and 99? (a) 76 (b) 75 (c) 77 (d) 78
  13. 13.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) 37 (c) 36 (d) 67
  14. 14.What is the average of 15, 17, 32, 41, 37 and 38? (a) 31 (b) 36 (c) 30 (d) 29
  15. 15.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 89 (c) 58 (d) 15
  16. 16.What is the average of all the whole numbers from 54 to 80? (a) 13 (b) 68 (c) 26 (d) 67
  17. 17.What is the average of 36, 15, 34, 26 and 14? (a) 26 (b) 27 (c) 24 (d) 25
  18. 18.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) 18 (b) 8 (c) 16 (d) 10
  19. 19.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 64 (b) 93 (c) 20 (d) 49
  20. 20.What is the average of all the whole numbers from 6 to 20? (a) 14 (b) 12 (c) 13 (d) 7
  21. 21.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 33 (b) 23 (c) 24 (d) 68
  22. 22.What is the average of all the whole numbers from 37 to 57? (a) 20 (b) 48 (c) 47 (d) 10
  23. 23.What is the average of 15, 37, 15 and 25? (a) 25 (b) 24 (c) 22 (d) 23
  24. 24.What is the average of 40, 38, 41, 33 and 88? (a) 48 (b) 47 (c) 49 (d) 60
  25. 25.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 45 (b) 104 (c) 69 (d) 64
  26. 26.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) 44 (c) 72 (d) 100
  27. 27.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 32 (b) 68 (c) 60 (d) 84
  28. 28.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 51 (b) 10 (c) 57 (d) 49
  29. 29.What is the average of all the whole numbers from 23 to 51? (a) 14 (b) 28 (c) 38 (d) 37
  30. 30.What is the average of all the whole numbers from 10 to 32? (a) 11 (b) 22 (c) 20 (d) 21
  31. 31.What is the average of 61, 63, 82, 75, 79 and 54? (a) 70 (b) 68 (c) 69 (d) 71
  32. 32.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 53 (c) 24 (d) 35
  33. 33.What is the average of all the whole numbers from 10 to 50? (a) 20 (b) 31 (c) 30 (d) 40
  34. 34.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 65 (c) 20 (d) 47
  35. 35.What is the average of 45, 40, 48, 56, 40 and 41? (a) 45 (b) 44 (c) 46 (d) 54
  36. 36.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 14 (b) 56 (c) 44 (d) 86
  37. 37.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 59 (b) 28 (c) 8 (d) 7
  38. 38.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 57 (b) 71 (c) 18 (d) 55
  39. 39.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 55? (a) 60 (b) 61 (c) 109 (d) 55
  40. 40.What is the average of all the whole numbers from 38 to 78? (a) 58 (b) 40 (c) 20 (d) 59

Answer key

  1. 86
  2. 67
  3. 57
  4. 56
  5. 79
  6. 75
  7. 23
  8. 70
  9. 70
  10. 29
  11. 40
  12. 76
  13. 67
  14. 30
  15. 58
  16. 67
  17. 25
  18. 16
  19. 64
  20. 13
  21. 23
  22. 47
  23. 23
  24. 48
  25. 104
  26. 100
  27. 84
  28. 57
  29. 37
  30. 21
  31. 69
  32. 53
  33. 30
  34. 65
  35. 45
  36. 56
  37. 7
  38. 71
  39. 109
  40. 58

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