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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 783 · 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 55 to 89? (a) 17 (b) 72 (c) 73 (d) 34
  2. 2.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 25 (b) 37 (c) 16 (d) 46
  3. 3.What is the average of 50, 39, 55 and 48? (a) 47 (b) 64 (c) 48 (d) 49
  4. 4.What is the average of 65, 38, 62 and 39? (a) 68 (b) 52 (c) 50 (d) 51
  5. 5.What is the average of 58, 58, 37 and 43? (a) 49 (b) 48 (c) 50 (d) 51
  6. 6.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 9 (b) 10 (c) 24 (d) 51
  7. 7.What is the average of 53, 67, 60, 73 and 57? (a) 62 (b) 61 (c) 64 (d) 63
  8. 8.What is the average of 53, 60, 43 and 60? (a) 72 (b) 54 (c) 55 (d) 53
  9. 9.What is the average of 72, 68, 71, 73, 79 and 63? (a) 72 (b) 71 (c) 70 (d) 73
  10. 10.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 70 (b) 39 (c) 102 (d) 46
  11. 11.What is the average of all the whole numbers from 11 to 41? (a) 15 (b) 30 (c) 27 (d) 26
  12. 12.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 30 (c) 24 (d) 49
  13. 13.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 18 (c) 12 (d) 20
  14. 14.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 94 (c) 62 (d) 40
  15. 15.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 63 (c) 34 (d) 25
  16. 16.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 34 (c) 20 (d) 35
  17. 17.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 12 (c) 64 (d) 72
  18. 18.What is the average of 35, 31, 29, 17 and 33? (a) 30 (b) 31 (c) 29 (d) 28
  19. 19.What is the average of all the whole numbers from 26 to 62? (a) 45 (b) 44 (c) 18 (d) 36
  20. 20.What is the average of 33, 30, 24 and 69? (a) 52 (b) 39 (c) 40 (d) 38
  21. 21.What is the average of 53, 67, 47, 53, 53 and 87? (a) 61 (b) 60 (c) 72 (d) 59
  22. 22.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 25 (c) 10 (d) 9
  23. 23.What is the average of 46, 23, 39, 50, 23 and 29? (a) 42 (b) 35 (c) 34 (d) 36
  24. 24.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 63 (c) 102 (d) 53
  25. 25.What is the average of 62, 56, 69 and 73? (a) 66 (b) 64 (c) 67 (d) 65
  26. 26.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 53? (a) 59 (b) 77 (c) 30 (d) 53
  27. 27.What is the average of all the whole numbers from 9 to 15? (a) 3 (b) 13 (c) 12 (d) 6
  28. 28.What is the average of all the whole numbers from 19 to 41? (a) 31 (b) 11 (c) 30 (d) 22
  29. 29.What is the average of 66, 63, 62, 65 and 119? (a) 74 (b) 75 (c) 77 (d) 76
  30. 30.What is the average of 50, 56, 36 and 22? (a) 41 (b) 40 (c) 42 (d) 43
  31. 31.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 35 (b) 8 (c) 7 (d) 16
  32. 32.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 47 (c) 89 (d) 54
  33. 33.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 15 (b) 21 (c) 16 (d) 44
  34. 34.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 40 (c) 56 (d) 37
  35. 35.What is the average of 70, 51, 73, 57 and 64? (a) 65 (b) 63 (c) 62 (d) 64
  36. 36.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 8 (b) 35 (c) 69 (d) 42
  37. 37.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 40 (c) 25 (d) 30
  38. 38.What is the average of all the whole numbers from 59 to 85? (a) 73 (b) 26 (c) 72 (d) 13
  39. 39.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 26? (a) 28 (b) 26 (c) 32 (d) 8
  40. 40.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 36 (b) 47 (c) 53 (d) 77

Answer key

  1. 72
  2. 37
  3. 48
  4. 51
  5. 49
  6. 9
  7. 62
  8. 54
  9. 71
  10. 102
  11. 26
  12. 49
  13. 20
  14. 94
  15. 54
  16. 35
  17. 72
  18. 29
  19. 44
  20. 39
  21. 60
  22. 9
  23. 35
  24. 102
  25. 65
  26. 77
  27. 12
  28. 30
  29. 75
  30. 41
  31. 7
  32. 89
  33. 15
  34. 56
  35. 63
  36. 42
  37. 40
  38. 72
  39. 32
  40. 77

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