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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 24 · 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 26, 29, 43, 15, 40 and 15? (a) 27 (b) 28 (c) 30 (d) 29
  2. 2.What is the average of all the whole numbers from 46 to 68? (a) 58 (b) 57 (c) 22 (d) 11
  3. 3.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 10 (b) 26 (c) 32 (d) 24
  4. 4.What is the average of all the whole numbers from 16 to 28? (a) 12 (b) 23 (c) 6 (d) 22
  5. 5.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 27? (a) 27 (b) 54 (c) 33 (d) 75
  6. 6.What is the average of all the whole numbers from 50 to 66? (a) 59 (b) 16 (c) 58 (d) 8
  7. 7.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 53 (c) 28 (d) 30
  8. 8.What is the average of 45, 62, 52 and 29? (a) 48 (b) 47 (c) 46 (d) 49
  9. 9.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 36 (c) 32 (d) 20
  10. 10.What is the average of 21, 30, 24, 26, 32 and 41? (a) 30 (b) 31 (c) 28 (d) 29
  11. 11.What is the average of all the whole numbers from 45 to 77? (a) 62 (b) 61 (c) 16 (d) 32
  12. 12.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 32 (c) 65 (d) 28
  13. 13.What is the average of all the whole numbers from 14 to 28? (a) 7 (b) 21 (c) 14 (d) 22
  14. 14.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 38? (a) 41 (b) 27 (c) 62 (d) 38
  15. 15.What is the average of 66, 55, 59, 64, 71 and 63? (a) 63 (b) 64 (c) 65 (d) 62
  16. 16.What is the average of 47, 40, 31, 33 and 34? (a) 38 (b) 36 (c) 37 (d) 39
  17. 17.What is the average of all the whole numbers from 55 to 85? (a) 71 (b) 15 (c) 30 (d) 70
  18. 18.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 20 (c) 54 (d) 21
  19. 19.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 64 (c) 92 (d) 20
  20. 20.What is the average of 13, 12, 38, 11, 16 and 60? (a) 26 (b) 30 (c) 24 (d) 25
  21. 21.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 32 (c) 78 (d) 69
  22. 22.What is the average of 35, 22, 24, 31 and 3? (a) 23 (b) 25 (c) 22 (d) 24
  23. 23.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 55 (b) 75 (c) 20 (d) 40
  24. 24.What is the average of 47, 54, 67 and 52? (a) 57 (b) 56 (c) 55 (d) 54
  25. 25.What is the average of 38, 26, 47, 27, 33 and 21? (a) 33 (b) 31 (c) 34 (d) 32
  26. 26.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 56 (b) 6 (c) 26 (d) 7
  27. 27.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 29 (c) 17 (d) 30
  28. 28.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 20 (c) 50 (d) 65
  29. 29.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 74 (b) 54 (c) 26 (d) 32
  30. 30.What is the average of all the whole numbers from 31 to 49? (a) 40 (b) 41 (c) 18 (d) 9
  31. 31.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 27 (c) 5 (d) 53
  32. 32.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 23 (b) 49 (c) 8 (d) 9
  33. 33.What is the average of 26, 45, 22, 25 and 47? (a) 33 (b) 35 (c) 34 (d) 32
  34. 34.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 47 (c) 24 (d) 65
  35. 35.What is the average of all the whole numbers from 17 to 53? (a) 35 (b) 18 (c) 34 (d) 36
  36. 36.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 14 (b) 40 (c) 30 (d) 28
  37. 37.What is the average of 16, 31, 26, 20, 43 and 50? (a) 33 (b) 31 (c) 32 (d) 30
  38. 38.What is the average of 51, 69, 44, 54 and 62? (a) 56 (b) 57 (c) 70 (d) 55
  39. 39.What is the average of 17, 37, 17 and 37? (a) 26 (b) 27 (c) 36 (d) 28
  40. 40.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 54? (a) 54 (b) 56 (c) 60 (d) 8

Answer key

  1. 28
  2. 57
  3. 32
  4. 22
  5. 75
  6. 58
  7. 53
  8. 47
  9. 48
  10. 29
  11. 61
  12. 28
  13. 21
  14. 62
  15. 63
  16. 37
  17. 70
  18. 20
  19. 64
  20. 25
  21. 69
  22. 23
  23. 55
  24. 55
  25. 32
  26. 6
  27. 29
  28. 65
  29. 74
  30. 40
  31. 31
  32. 8
  33. 33
  34. 65
  35. 35
  36. 40
  37. 31
  38. 56
  39. 27
  40. 60

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