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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 295 · 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 7 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 66 (c) 48 (d) 21
  2. 2.What is the average of all the whole numbers from 14 to 32? (a) 18 (b) 23 (c) 9 (d) 24
  3. 3.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 29 (b) 18 (c) 55 (d) 44
  4. 4.What is the average of all the whole numbers from 6 to 30? (a) 12 (b) 24 (c) 19 (d) 18
  5. 5.What is the average of 33, 46, 44 and 65? (a) 48 (b) 47 (c) 46 (d) 49
  6. 6.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 49 (c) 26 (d) 50
  7. 7.What is the average of all the whole numbers from 26 to 50? (a) 39 (b) 38 (c) 24 (d) 12
  8. 8.What is the average of 33, 15, 20, 22, 26 and 40? (a) 28 (b) 26 (c) 27 (d) 25
  9. 9.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 98 (b) 62 (c) 40 (d) 66
  10. 10.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 49 (b) 26 (c) 35 (d) 12
  11. 11.What is the average of 61, 63, 52, 60, 58 and 84? (a) 64 (b) 62 (c) 63 (d) 65
  12. 12.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 48 (b) 50 (c) 88 (d) 43
  13. 13.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 50 (b) 16 (c) 39 (d) 27
  14. 14.What is the average of 74, 69, 92, 70, 76 and 87? (a) 77 (b) 80 (c) 79 (d) 78
  15. 15.What is the average of all the whole numbers from 57 to 63? (a) 61 (b) 6 (c) 60 (d) 3
  16. 16.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 7 (b) 6 (c) 45 (d) 21
  17. 17.What is the average of 54, 65, 38 and 43? (a) 51 (b) 49 (c) 52 (d) 50
  18. 18.What is the average of 47, 30, 47 and 24? (a) 37 (b) 39 (c) 38 (d) 36
  19. 19.What is the average of all the whole numbers from 7 to 37? (a) 30 (b) 22 (c) 15 (d) 23
  20. 20.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 18 (b) 42 (c) 45 (d) 57
  21. 21.What is the average of 62, 36, 51 and 47? (a) 49 (b) 48 (c) 51 (d) 50
  22. 22.What is the average of 18, 43, 25, 25, 30 and 33? (a) 31 (b) 28 (c) 30 (d) 29
  23. 23.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 98 (b) 35 (c) 42 (d) 70
  24. 24.What is the average of 47, 42, 45, 38, 34 and 64? (a) 45 (b) 54 (c) 44 (d) 46
  25. 25.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 6 (b) 30 (c) 25 (d) 49
  26. 26.What is the average of all the whole numbers from 60 to 86? (a) 13 (b) 73 (c) 74 (d) 26
  27. 27.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 13 (b) 65 (c) 31 (d) 14
  28. 28.What is the average of all the whole numbers from 6 to 36? (a) 15 (b) 30 (c) 22 (d) 21
  29. 29.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 40 (c) 10 (d) 38
  30. 30.What is the average of all the whole numbers from 58 to 84? (a) 26 (b) 13 (c) 72 (d) 71
  31. 31.What is the average of all the whole numbers from 21 to 29? (a) 8 (b) 4 (c) 26 (d) 25
  32. 32.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 29? (a) 34 (b) 20 (c) 29 (d) 44
  33. 33.What is the average of all the whole numbers from 32 to 40? (a) 8 (b) 36 (c) 37 (d) 4
  34. 34.What is the average of 26, 21, 15, 34, 35 and 7? (a) 22 (b) 25 (c) 24 (d) 23
  35. 35.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 20 (b) 61 (c) 46 (d) 87
  36. 36.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 13 (c) 25 (d) 14
  37. 37.What is the average of 65, 64, 79, 88, 79 and 87? (a) 76 (b) 78 (c) 77 (d) 79
  38. 38.What is the average of 71, 77, 60 and 84? (a) 75 (b) 74 (c) 72 (d) 73
  39. 39.What is the average of all the whole numbers from 6 to 38? (a) 22 (b) 23 (c) 32 (d) 16
  40. 40.What is the average of all the whole numbers from 38 to 52? (a) 46 (b) 14 (c) 7 (d) 45

Answer key

  1. 66
  2. 23
  3. 44
  4. 18
  5. 47
  6. 49
  7. 38
  8. 26
  9. 98
  10. 35
  11. 63
  12. 88
  13. 39
  14. 78
  15. 60
  16. 6
  17. 50
  18. 37
  19. 22
  20. 57
  21. 49
  22. 29
  23. 98
  24. 45
  25. 30
  26. 73
  27. 13
  28. 21
  29. 46
  30. 71
  31. 25
  32. 44
  33. 36
  34. 23
  35. 61
  36. 13
  37. 77
  38. 73
  39. 22
  40. 45

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