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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 821 · 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 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 33 (b) 15 (c) 39 (d) 21
  2. 2.What is the average of 45, 54, 55, 67, 61 and 72? (a) 61 (b) 60 (c) 59 (d) 58
  3. 3.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 34 (c) 30 (d) 29
  4. 4.What is the average of all the whole numbers from 40 to 68? (a) 14 (b) 55 (c) 54 (d) 28
  5. 5.What is the average of all the whole numbers from 24 to 54? (a) 40 (b) 39 (c) 30 (d) 15
  6. 6.What is the average of 35, 29, 34, 41 and 41? (a) 45 (b) 37 (c) 35 (d) 36
  7. 7.What is the average of 72, 73, 75, 77, 86 and 91? (a) 78 (b) 79 (c) 80 (d) 81
  8. 8.What is the average of 64, 70, 42, 51, 66 and 43? (a) 55 (b) 57 (c) 56 (d) 58
  9. 9.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 20 (c) 42 (d) 26
  10. 10.What is the average of 58, 52, 32, 53 and 30? (a) 47 (b) 46 (c) 45 (d) 44
  11. 11.What is the average of all the whole numbers from 30 to 54? (a) 12 (b) 43 (c) 24 (d) 42
  12. 12.What is the average of 47, 49, 39, 64, 45 and 68? (a) 51 (b) 52 (c) 54 (d) 53
  13. 13.What is the average of 32, 21, 43, 31, 24 and 35? (a) 31 (b) 33 (c) 30 (d) 32
  14. 14.What is the average of 11, 17, 26 and 42? (a) 24 (b) 23 (c) 25 (d) 32
  15. 15.What is the average of 60, 69, 66, 53, 54 and 88? (a) 64 (b) 66 (c) 78 (d) 65
  16. 16.What is the average of 36, 22, 33 and 29? (a) 30 (b) 29 (c) 31 (d) 40
  17. 17.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 94 (b) 46 (c) 54 (d) 52
  18. 18.What is the average of 34, 41, 50, 48, 34 and 57? (a) 46 (b) 45 (c) 44 (d) 43
  19. 19.What is the average of 41, 21, 31, 35, 26 and 50? (a) 34 (b) 35 (c) 36 (d) 33
  20. 20.What is the average of all the whole numbers from 27 to 37? (a) 33 (b) 32 (c) 5 (d) 10
  21. 21.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 48 (b) 58 (c) 64 (d) 100
  22. 22.What is the average of 52, 45, 46 and 93? (a) 61 (b) 59 (c) 58 (d) 60
  23. 23.What is the average of 34, 29, 29, 14 and 24? (a) 27 (b) 25 (c) 26 (d) 28
  24. 24.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 50 (c) 56 (d) 24
  25. 25.What is the average of all the whole numbers from 34 to 54? (a) 20 (b) 45 (c) 44 (d) 10
  26. 26.What is the average of all the whole numbers from 46 to 56? (a) 10 (b) 52 (c) 51 (d) 5
  27. 27.What is the average of 36, 21, 25 and 30? (a) 28 (b) 29 (c) 27 (d) 30
  28. 28.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 36 (c) 39 (d) 79
  29. 29.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 40 (c) 8 (d) 65
  30. 30.What is the average of all the whole numbers from 58 to 98? (a) 79 (b) 40 (c) 20 (d) 78
  31. 31.What is the average of all the whole numbers from 58 to 64? (a) 62 (b) 3 (c) 6 (d) 61
  32. 32.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 29 (c) 30 (d) 53
  33. 33.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 56 (b) 37 (c) 85 (d) 45
  34. 34.What is the average of 80, 74, 57 and 77? (a) 73 (b) 71 (c) 72 (d) 96
  35. 35.What is the average of all the whole numbers from 22 to 36? (a) 30 (b) 14 (c) 29 (d) 7
  36. 36.What is the average of all the whole numbers from 44 to 74? (a) 30 (b) 60 (c) 59 (d) 15
  37. 37.What is the average of 60, 45, 50, 46, 46 and 101? (a) 60 (b) 57 (c) 59 (d) 58
  38. 38.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 19 (c) 16 (d) 34
  39. 39.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 33 (c) 32 (d) 79
  40. 40.What is the average of 40, 42, 38, 62, 59 and 71? (a) 51 (b) 54 (c) 53 (d) 52

Answer key

  1. 33
  2. 59
  3. 29
  4. 54
  5. 39
  6. 36
  7. 79
  8. 56
  9. 42
  10. 45
  11. 42
  12. 52
  13. 31
  14. 24
  15. 65
  16. 30
  17. 94
  18. 44
  19. 34
  20. 32
  21. 100
  22. 59
  23. 26
  24. 50
  25. 44
  26. 51
  27. 28
  28. 35
  29. 40
  30. 78
  31. 61
  32. 53
  33. 85
  34. 72
  35. 29
  36. 59
  37. 58
  38. 31
  39. 32
  40. 52

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