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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 997 · 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 all the whole numbers from 29 to 41? (a) 36 (b) 35 (c) 12 (d) 6
  2. 2.What is the average of 57, 65, 65 and 85? (a) 70 (b) 69 (c) 67 (d) 68
  3. 3.What is the average of 76, 52, 79 and 61? (a) 66 (b) 67 (c) 69 (d) 68
  4. 4.What is the average of 25, 23, 32, 22 and 43? (a) 29 (b) 28 (c) 30 (d) 31
  5. 5.What is the average of 49, 53, 65, 46, 48 and 99? (a) 61 (b) 60 (c) 59 (d) 72
  6. 6.What is the average of 45, 36, 39, 41, 46 and 93? (a) 50 (b) 60 (c) 51 (d) 49
  7. 7.What is the average of 83, 69, 88 and 76? (a) 78 (b) 81 (c) 80 (d) 79
  8. 8.What is the average of 33, 20, 44, 14 and 34? (a) 29 (b) 31 (c) 30 (d) 28
  9. 9.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 13 (b) 52 (c) 14 (d) 25
  10. 10.What is the average of all the whole numbers from 13 to 31? (a) 22 (b) 23 (c) 18 (d) 9
  11. 11.What is the average of all the whole numbers from 43 to 67? (a) 12 (b) 56 (c) 24 (d) 55
  12. 12.What is the average of 64, 62, 42, 60, 60 and 12? (a) 49 (b) 60 (c) 51 (d) 50
  13. 13.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) 37 (c) 44 (d) 8
  14. 14.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 16 (c) 39 (d) 25
  15. 15.What is the average of all the whole numbers from 7 to 47? (a) 20 (b) 28 (c) 40 (d) 27
  16. 16.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 5 (c) 14 (d) 19
  17. 17.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 12 (b) 23 (c) 44 (d) 33
  18. 18.What is the average of all the whole numbers from 31 to 61? (a) 30 (b) 47 (c) 46 (d) 15
  19. 19.What is the average of all the whole numbers from 41 to 61? (a) 10 (b) 51 (c) 20 (d) 52
  20. 20.What is the average of 32, 30, 35, 54 and 69? (a) 43 (b) 45 (c) 55 (d) 44
  21. 21.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 72 (d) 48
  22. 22.What is the average of 54, 49, 55, 57 and 25? (a) 49 (b) 47 (c) 48 (d) 60
  23. 23.What is the average of all the whole numbers from 51 to 77? (a) 13 (b) 26 (c) 65 (d) 64
  24. 24.What is the average of 36, 20, 14, 11 and 24? (a) 20 (b) 22 (c) 23 (d) 21
  25. 25.What is the average of 65, 92, 67 and 96? (a) 80 (b) 82 (c) 79 (d) 81
  26. 26.What is the average of 43, 47, 44, 26 and 5? (a) 35 (b) 33 (c) 32 (d) 34
  27. 27.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 48 (b) 67 (c) 99 (d) 59
  28. 28.What is the average of 32, 30, 24, 43 and 61? (a) 39 (b) 37 (c) 38 (d) 40
  29. 29.What is the average of 57, 65, 54, 64, 63 and 63? (a) 62 (b) 63 (c) 61 (d) 60
  30. 30.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 55 (c) 31 (d) 30
  31. 31.What is the average of 17, 31, 12 and 24? (a) 21 (b) 28 (c) 22 (d) 20
  32. 32.What is the average of 38, 42, 29, 58 and 53? (a) 44 (b) 55 (c) 43 (d) 45
  33. 33.What is the average of 23, 18, 14, 25, 9 and 43? (a) 23 (b) 22 (c) 21 (d) 24
  34. 34.What is the average of 46, 38, 18, 22, 24 and 44? (a) 31 (b) 32 (c) 33 (d) 34
  35. 35.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 78 (b) 54 (c) 51 (d) 30
  36. 36.What is the average of 34, 32, 40, 29, 39 and 84? (a) 45 (b) 44 (c) 43 (d) 42
  37. 37.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 16 (b) 42 (c) 40 (d) 54
  38. 38.What is the average of all the whole numbers from 11 to 29? (a) 9 (b) 21 (c) 20 (d) 18
  39. 39.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 52 (c) 87 (d) 45
  40. 40.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 62 (b) 37 (c) 42 (d) 30

Answer key

  1. 35
  2. 68
  3. 67
  4. 29
  5. 60
  6. 50
  7. 79
  8. 29
  9. 13
  10. 22
  11. 55
  12. 50
  13. 44
  14. 39
  15. 27
  16. 14
  17. 33
  18. 46
  19. 51
  20. 44
  21. 72
  22. 48
  23. 64
  24. 21
  25. 80
  26. 33
  27. 99
  28. 38
  29. 61
  30. 55
  31. 21
  32. 44
  33. 22
  34. 32
  35. 78
  36. 43
  37. 54
  38. 20
  39. 87
  40. 62

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