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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 950 · 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 53 to 85? (a) 16 (b) 70 (c) 32 (d) 69
  2. 2.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 19 (c) 47 (d) 40
  3. 3.What is the average of 32, 37, 32, 33, 32 and 50? (a) 36 (b) 38 (c) 35 (d) 37
  4. 4.What is the average of 61, 66, 65, 63 and 120? (a) 75 (b) 76 (c) 74 (d) 77
  5. 5.What is the average of all the whole numbers from 19 to 27? (a) 23 (b) 24 (c) 4 (d) 8
  6. 6.What is the average of all the whole numbers from 60 to 70? (a) 65 (b) 5 (c) 10 (d) 66
  7. 7.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 5 (b) 62 (c) 6 (d) 29
  8. 8.What is the average of 36, 39, 17, 18, 26 and 56? (a) 31 (b) 34 (c) 33 (d) 32
  9. 9.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 50 (c) 44 (d) 12
  10. 10.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 51 (b) 30 (c) 33 (d) 27
  11. 11.What is the average of 77, 64, 59 and 68? (a) 66 (b) 67 (c) 69 (d) 68
  12. 12.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 41 (c) 5 (d) 21
  13. 13.What is the average of 49, 55, 39 and 69? (a) 53 (b) 55 (c) 54 (d) 52
  14. 14.What is the average of all the whole numbers from 28 to 50? (a) 40 (b) 11 (c) 22 (d) 39
  15. 15.What is the average of 67, 87, 73, 68 and 90? (a) 77 (b) 79 (c) 78 (d) 76
  16. 16.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 60 (c) 100 (d) 56
  17. 17.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 12 (b) 11 (c) 17 (d) 35
  18. 18.What is the average of all the whole numbers from 47 to 63? (a) 56 (b) 55 (c) 8 (d) 16
  19. 19.What is the average of 41, 34, 13 and 20? (a) 36 (b) 28 (c) 27 (d) 26
  20. 20.What is the average of all the whole numbers from 41 to 77? (a) 36 (b) 60 (c) 18 (d) 59
  21. 21.What is the average of 18, 40, 27, 24 and 46? (a) 33 (b) 30 (c) 32 (d) 31
  22. 22.What is the average of all the whole numbers from 43 to 49? (a) 3 (b) 47 (c) 6 (d) 46
  23. 23.What is the average of 5, 15, 31, 9 and 40? (a) 25 (b) 21 (c) 20 (d) 19
  24. 24.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 90 (c) 72 (d) 30
  25. 25.What is the average of 48, 38, 39, 36, 27 and 46? (a) 39 (b) 40 (c) 41 (d) 38
  26. 26.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 57 (b) 16 (c) 86 (d) 45
  27. 27.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 37 (c) 53 (d) 12
  28. 28.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 64 (b) 33 (c) 41 (d) 10
  29. 29.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 37 (b) 42 (c) 31 (d) 67
  30. 30.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 47 (c) 25 (d) 67
  31. 31.What is the average of 28, 26, 34, 26 and 46? (a) 31 (b) 40 (c) 33 (d) 32
  32. 32.What is the average of 47, 41, 56 and 48? (a) 49 (b) 48 (c) 47 (d) 64
  33. 33.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 16 (b) 70 (c) 36 (d) 50
  34. 34.What is the average of all the whole numbers from 23 to 61? (a) 38 (b) 19 (c) 42 (d) 43
  35. 35.What is the average of all the whole numbers from 44 to 78? (a) 17 (b) 34 (c) 62 (d) 61
  36. 36.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 30 (b) 46 (c) 49 (d) 73
  37. 37.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 44 (b) 24 (c) 65 (d) 85
  38. 38.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 55 (b) 43 (c) 15 (d) 83
  39. 39.What is the average of 16, 41, 39 and 12? (a) 28 (b) 26 (c) 27 (d) 36
  40. 40.What is the average of 21, 28, 13, 23, 19 and 34? (a) 22 (b) 25 (c) 23 (d) 24

Answer key

  1. 69
  2. 47
  3. 36
  4. 75
  5. 23
  6. 65
  7. 5
  8. 32
  9. 50
  10. 51
  11. 67
  12. 25
  13. 53
  14. 39
  15. 77
  16. 100
  17. 11
  18. 55
  19. 27
  20. 59
  21. 31
  22. 46
  23. 20
  24. 90
  25. 39
  26. 57
  27. 37
  28. 41
  29. 67
  30. 67
  31. 32
  32. 48
  33. 50
  34. 42
  35. 61
  36. 73
  37. 65
  38. 55
  39. 27
  40. 23

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