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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 27 · 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 66, 52, 65 and 69? (a) 63 (b) 84 (c) 64 (d) 62
  2. 2.What is the average of 75, 52, 52 and 77? (a) 63 (b) 66 (c) 64 (d) 65
  3. 3.What is the average of all the whole numbers from 55 to 91? (a) 73 (b) 74 (c) 18 (d) 36
  4. 4.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 73 (b) 8 (c) 44 (d) 37
  5. 5.What is the average of 68, 55, 52, 47, 68 and 82? (a) 63 (b) 62 (c) 64 (d) 61
  6. 6.What is the average of 39, 28, 32, 42, 20 and 7? (a) 29 (b) 30 (c) 27 (d) 28
  7. 7.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 48? (a) 30 (b) 75 (c) 48 (d) 51
  8. 8.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 23 (b) 29 (c) 60 (d) 24
  9. 9.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 86 (b) 32 (c) 42 (d) 33
  10. 10.What is the average of 62, 38, 48 and 56? (a) 68 (b) 50 (c) 51 (d) 52
  11. 11.What is the average of 68, 52, 52, 52 and 101? (a) 66 (b) 65 (c) 67 (d) 64
  12. 12.What is the average of 50, 35, 45, 46, 43 and 33? (a) 42 (b) 44 (c) 41 (d) 43
  13. 13.What is the average of 25, 24, 28, 39 and 69? (a) 36 (b) 39 (c) 37 (d) 38
  14. 14.What is the average of all the whole numbers from 35 to 53? (a) 9 (b) 45 (c) 18 (d) 44
  15. 15.What is the average of 40, 47, 59, 47, 52 and 85? (a) 56 (b) 66 (c) 55 (d) 54
  16. 16.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 49 (c) 20 (d) 37
  17. 17.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 93 (c) 29 (d) 72
  18. 18.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 91 (b) 33 (c) 44 (d) 32
  19. 19.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 15 (b) 14 (c) 73 (d) 34
  20. 20.What is the average of 81, 80, 56, 60, 80 and 45? (a) 69 (b) 66 (c) 68 (d) 67
  21. 21.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 72 (d) 32
  22. 22.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 18 (b) 52 (c) 64 (d) 49
  23. 23.What is the average of 22, 18, 39 and 53? (a) 32 (b) 44 (c) 34 (d) 33
  24. 24.What is the average of all the whole numbers from 58 to 68? (a) 63 (b) 10 (c) 5 (d) 64
  25. 25.What is the average of all the whole numbers from 10 to 32? (a) 20 (b) 21 (c) 11 (d) 22
  26. 26.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 38 (d) 16
  27. 27.What is the average of all the whole numbers from 58 to 80? (a) 11 (b) 22 (c) 70 (d) 69
  28. 28.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 53 (c) 46 (d) 88
  29. 29.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 65 (b) 29 (c) 35 (d) 42
  30. 30.What is the average of 36, 45, 46 and 9? (a) 36 (b) 34 (c) 33 (d) 35
  31. 31.What is the average of 51, 28, 33, 30, 54 and 62? (a) 44 (b) 42 (c) 45 (d) 43
  32. 32.What is the average of all the whole numbers from 56 to 80? (a) 12 (b) 68 (c) 69 (d) 24
  33. 33.What is the average of 65, 70, 73, 80 and 87? (a) 74 (b) 77 (c) 75 (d) 76
  34. 34.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 20 (c) 24 (d) 30
  35. 35.What is the average of 24, 26, 25 and 69? (a) 36 (b) 35 (c) 48 (d) 37
  36. 36.What is the average of 41, 30, 15 and 30? (a) 31 (b) 29 (c) 28 (d) 30
  37. 37.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) 14 (c) 38 (d) 50
  38. 38.What is the average of all the whole numbers from 14 to 44? (a) 28 (b) 15 (c) 30 (d) 29
  39. 39.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 32 (b) 38 (c) 24 (d) 18
  40. 40.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 77 (b) 78 (c) 42 (d) 49

Answer key

  1. 63
  2. 64
  3. 73
  4. 44
  5. 62
  6. 28
  7. 75
  8. 23
  9. 32
  10. 51
  11. 65
  12. 42
  13. 37
  14. 44
  15. 55
  16. 49
  17. 93
  18. 32
  19. 14
  20. 67
  21. 72
  22. 64
  23. 33
  24. 63
  25. 21
  26. 38
  27. 69
  28. 88
  29. 65
  30. 34
  31. 43
  32. 68
  33. 75
  34. 30
  35. 36
  36. 29
  37. 50
  38. 29
  39. 38
  40. 77

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