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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 288 · 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.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 23 (b) 47 (c) 99 (d) 22
  2. 2.What is the average of 44, 37, 45 and 22? (a) 36 (b) 39 (c) 38 (d) 37
  3. 3.What is the average of 59, 50, 47, 63 and 66? (a) 58 (b) 56 (c) 59 (d) 57
  4. 4.What is the average of 64, 39, 43, 50, 39 and 59? (a) 48 (b) 49 (c) 50 (d) 51
  5. 5.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) 78 (b) 66 (c) 20 (d) 62
  6. 6.What is the average of all the whole numbers from 7 to 29? (a) 11 (b) 22 (c) 19 (d) 18
  7. 7.What is the average of 55, 56, 63, 84 and 92? (a) 70 (b) 72 (c) 69 (d) 71
  8. 8.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 34 (c) 14 (d) 30
  9. 9.What is the average of all the whole numbers from 51 to 89? (a) 38 (b) 71 (c) 70 (d) 19
  10. 10.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 77 (c) 52 (d) 35
  11. 11.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 78 (b) 68 (c) 20 (d) 63
  12. 12.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 74 (b) 50 (c) 30 (d) 56
  13. 13.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 30 (c) 73 (d) 53
  14. 14.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 78 (b) 60 (c) 57 (d) 24
  15. 15.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) 47 (b) 77 (c) 42 (d) 41
  16. 16.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 51? (a) 30 (b) 51 (c) 75 (d) 57
  17. 17.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 22 (b) 41 (c) 18 (d) 37
  18. 18.What is the average of 17, 27, 42 and 42? (a) 33 (b) 32 (c) 34 (d) 31
  19. 19.What is the average of 45, 58, 32, 53, 33 and 61? (a) 49 (b) 46 (c) 47 (d) 48
  20. 20.What is the average of 33, 18, 14, 19 and 41? (a) 26 (b) 25 (c) 27 (d) 24
  21. 21.What is the average of all the whole numbers from 42 to 64? (a) 22 (b) 11 (c) 54 (d) 53
  22. 22.What is the average of 18, 47, 28 and 39? (a) 32 (b) 34 (c) 44 (d) 33
  23. 23.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 12 (c) 16 (d) 33
  24. 24.What is the average of 24, 30, 48, 29 and 59? (a) 37 (b) 39 (c) 40 (d) 38
  25. 25.What is the average of all the whole numbers from 32 to 66? (a) 49 (b) 50 (c) 17 (d) 34
  26. 26.What is the average of all the whole numbers from 53 to 63? (a) 58 (b) 5 (c) 10 (d) 59
  27. 27.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 63 (b) 31 (c) 35 (d) 36
  28. 28.What is the average of 84, 83, 56 and 53? (a) 68 (b) 70 (c) 69 (d) 92
  29. 29.What is the average of 93, 76, 75 and 68? (a) 104 (b) 77 (c) 79 (d) 78
  30. 30.What is the average of all the whole numbers from 31 to 41? (a) 37 (b) 36 (c) 10 (d) 5
  31. 31.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 58 (b) 32 (c) 56 (d) 30
  32. 32.What is the average of all the whole numbers from 15 to 43? (a) 28 (b) 30 (c) 14 (d) 29
  33. 33.What is the average of all the whole numbers from 31 to 57? (a) 26 (b) 45 (c) 13 (d) 44
  34. 34.What is the average of all the whole numbers from 16 to 36? (a) 20 (b) 26 (c) 27 (d) 10
  35. 35.What is the average of all the whole numbers from 13 to 47? (a) 30 (b) 31 (c) 17 (d) 34
  36. 36.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 60 (c) 40 (d) 30
  37. 37.What is the average of 41, 23, 53, 33 and 40? (a) 40 (b) 37 (c) 38 (d) 39
  38. 38.What is the average of 39, 65, 55 and 53? (a) 54 (b) 53 (c) 55 (d) 52
  39. 39.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 51 (c) 20 (d) 43
  40. 40.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 16 (c) 15 (d) 27

Answer key

  1. 22
  2. 37
  3. 57
  4. 49
  5. 78
  6. 18
  7. 70
  8. 30
  9. 70
  10. 77
  11. 78
  12. 74
  13. 73
  14. 78
  15. 77
  16. 75
  17. 37
  18. 32
  19. 47
  20. 25
  21. 53
  22. 33
  23. 12
  24. 38
  25. 49
  26. 58
  27. 63
  28. 69
  29. 78
  30. 36
  31. 58
  32. 29
  33. 44
  34. 26
  35. 30
  36. 60
  37. 38
  38. 53
  39. 43
  40. 15

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