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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 417 · 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.What is the average of all the whole numbers from 48 to 80? (a) 32 (b) 16 (c) 65 (d) 64
  2. 2.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 14 (c) 53 (d) 80
  3. 3.What is the average of 18, 38, 45, 32 and 32? (a) 34 (b) 35 (c) 32 (d) 33
  4. 4.What is the average of 45, 68, 52, 46, 49 and 100? (a) 61 (b) 72 (c) 59 (d) 60
  5. 5.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 48 (b) 14 (c) 36 (d) 70
  6. 6.What is the average of 67, 46, 47, 41 and 69? (a) 56 (b) 55 (c) 53 (d) 54
  7. 7.What is the average of all the whole numbers from 49 to 73? (a) 12 (b) 61 (c) 62 (d) 24
  8. 8.What is the average of 40, 65, 44, 46, 62 and 49? (a) 50 (b) 52 (c) 51 (d) 53
  9. 9.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 11 (c) 23 (d) 14
  10. 10.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 43 (c) 10 (d) 45
  11. 11.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 63 (c) 16 (d) 51
  12. 12.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 68 (c) 8 (d) 62
  13. 13.What is the average of all the whole numbers from 54 to 88? (a) 17 (b) 72 (c) 71 (d) 34
  14. 14.What is the average of 68, 58, 64 and 90? (a) 70 (b) 69 (c) 71 (d) 72
  15. 15.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) 64 (b) 95 (c) 47 (d) 39
  16. 16.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 53 (c) 18 (d) 68
  17. 17.What is the average of 88, 92, 70, 65 and 80? (a) 80 (b) 78 (c) 81 (d) 79
  18. 18.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 15 (c) 33 (d) 69
  19. 19.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 34 (c) 62 (d) 30
  20. 20.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 43 (c) 59 (d) 40
  21. 21.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 45 (b) 94 (c) 22 (d) 21
  22. 22.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 31 (c) 43 (d) 16
  23. 23.What is the average of 44, 63, 64 and 57? (a) 76 (b) 56 (c) 58 (d) 57
  24. 24.What is the average of 26, 19, 24, 24 and 42? (a) 29 (b) 28 (c) 27 (d) 26
  25. 25.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 8 (b) 48 (c) 82 (d) 42
  26. 26.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 18 (b) 31 (c) 43 (d) 28
  27. 27.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 12 (c) 28 (d) 38
  28. 28.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 28 (c) 69 (d) 83
  29. 29.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 16 (b) 1 (c) 2 (d) 37
  30. 30.What is the average of 19, 42, 42, 41 and 1? (a) 30 (b) 28 (c) 29 (d) 31
  31. 31.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) 38 (b) 44 (c) 30 (d) 62
  32. 32.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 37 (b) 94 (c) 36 (d) 46
  33. 33.What is the average of 90, 72, 91 and 51? (a) 75 (b) 78 (c) 77 (d) 76
  34. 34.What is the average of all the whole numbers from 34 to 50? (a) 8 (b) 16 (c) 43 (d) 42
  35. 35.What is the average of all the whole numbers from 45 to 73? (a) 14 (b) 60 (c) 28 (d) 59
  36. 36.What is the average of 55, 76, 49 and 68? (a) 62 (b) 61 (c) 64 (d) 63
  37. 37.What is the average of all the whole numbers from 57 to 83? (a) 71 (b) 26 (c) 70 (d) 13
  38. 38.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 45 (b) 39 (c) 63 (d) 30
  39. 39.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 79 (b) 58 (c) 27 (d) 55
  40. 40.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 34 (b) 28 (c) 36 (d) 58

Answer key

  1. 64
  2. 53
  3. 33
  4. 60
  5. 48
  6. 54
  7. 61
  8. 51
  9. 23
  10. 51
  11. 63
  12. 68
  13. 71
  14. 70
  15. 95
  16. 68
  17. 79
  18. 15
  19. 62
  20. 59
  21. 21
  22. 43
  23. 57
  24. 27
  25. 48
  26. 43
  27. 38
  28. 83
  29. 1
  30. 29
  31. 62
  32. 36
  33. 76
  34. 42
  35. 59
  36. 62
  37. 70
  38. 63
  39. 79
  40. 58

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