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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 988 · 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 40, 55, 65, 57 and 38? (a) 53 (b) 51 (c) 50 (d) 52
  2. 2.What is the average of 32, 33, 38, 19 and 38? (a) 31 (b) 40 (c) 33 (d) 32
  3. 3.What is the average of 52, 55, 56, 56 and 26? (a) 49 (b) 50 (c) 48 (d) 51
  4. 4.What is the average of 48, 68, 75, 61 and 58? (a) 62 (b) 63 (c) 61 (d) 64
  5. 5.What is the average of 71, 66, 47 and 40? (a) 57 (b) 58 (c) 56 (d) 55
  6. 6.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 17 (b) 67 (c) 32 (d) 18
  7. 7.What is the average of all the whole numbers from 24 to 40? (a) 8 (b) 32 (c) 16 (d) 33
  8. 8.What is the average of 52, 53, 50, 77, 58 and 94? (a) 63 (b) 66 (c) 65 (d) 64
  9. 9.What is the average of 74, 77, 87 and 50? (a) 73 (b) 72 (c) 96 (d) 71
  10. 10.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 17 (c) 33 (d) 24
  11. 11.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 45 (c) 37 (d) 10
  12. 12.What is the average of 46, 44, 39, 65, 55 and 69? (a) 53 (b) 55 (c) 52 (d) 54
  13. 13.What is the average of all the whole numbers from 16 to 50? (a) 33 (b) 34 (c) 32 (d) 17
  14. 14.What is the average of all the whole numbers from 42 to 74? (a) 16 (b) 58 (c) 32 (d) 59
  15. 15.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 20 (b) 21 (c) 95 (d) 45
  16. 16.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 46? (a) 53 (b) 81 (c) 46 (d) 42
  17. 17.What is the average of 77, 71, 73, 68, 61 and 106? (a) 78 (b) 77 (c) 75 (d) 76
  18. 18.What is the average of all the whole numbers from 15 to 35? (a) 25 (b) 20 (c) 10 (d) 26
  19. 19.What is the average of 30, 19, 29, 14 and 23? (a) 23 (b) 25 (c) 24 (d) 22
  20. 20.What is the average of all the whole numbers from 6 to 28? (a) 11 (b) 18 (c) 22 (d) 17
  21. 21.What is the average of 22, 29, 31 and 14? (a) 23 (b) 32 (c) 24 (d) 25
  22. 22.What is the average of all the whole numbers from 5 to 35? (a) 30 (b) 21 (c) 15 (d) 20
  23. 23.What is the average of all the whole numbers from 6 to 20? (a) 12 (b) 7 (c) 13 (d) 14
  24. 24.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 40 (c) 74 (d) 39
  25. 25.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 36 (b) 41 (c) 35 (d) 83
  26. 26.What is the average of all the whole numbers from 43 to 59? (a) 8 (b) 52 (c) 51 (d) 16
  27. 27.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 28? (a) 84 (b) 28 (c) 63 (d) 35
  28. 28.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 12 (c) 52 (d) 42
  29. 29.What is the average of 12, 19, 24, 18 and 52? (a) 25 (b) 24 (c) 26 (d) 27
  30. 30.What is the average of 17, 11, 29, 38, 38 and 23? (a) 25 (b) 28 (c) 26 (d) 27
  31. 31.What is the average of 23, 12, 6 and 39? (a) 22 (b) 21 (c) 19 (d) 20
  32. 32.What is the average of 56, 48, 65 and 47? (a) 53 (b) 72 (c) 54 (d) 55
  33. 33.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 8 (c) 34 (d) 38
  34. 34.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 39 (b) 6 (c) 34 (d) 67
  35. 35.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 53 (b) 81 (c) 36 (d) 49
  36. 36.What is the average of 64, 52, 40, 43, 64 and 37? (a) 51 (b) 60 (c) 50 (d) 49
  37. 37.What is the average of all the whole numbers from 54 to 60? (a) 58 (b) 6 (c) 3 (d) 57
  38. 38.What is the average of 77, 62, 65, 85, 71 and 84? (a) 76 (b) 74 (c) 73 (d) 75
  39. 39.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 27 (b) 7 (c) 57 (d) 6
  40. 40.What is the average of 82, 84, 91, 77, 74 and 48? (a) 78 (b) 76 (c) 75 (d) 77

Answer key

  1. 51
  2. 32
  3. 49
  4. 62
  5. 56
  6. 17
  7. 32
  8. 64
  9. 72
  10. 24
  11. 45
  12. 53
  13. 33
  14. 58
  15. 20
  16. 81
  17. 76
  18. 25
  19. 23
  20. 17
  21. 24
  22. 20
  23. 13
  24. 74
  25. 35
  26. 51
  27. 84
  28. 52
  29. 25
  30. 26
  31. 20
  32. 54
  33. 38
  34. 39
  35. 81
  36. 50
  37. 57
  38. 74
  39. 6
  40. 76

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