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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 947 · 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 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 40 (b) 96 (c) 47 (d) 39
  2. 2.What is the average of 50, 51, 43 and 8? (a) 39 (b) 40 (c) 37 (d) 38
  3. 3.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 47 (c) 51 (d) 8
  4. 4.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 40 (c) 32 (d) 67
  5. 5.What is the average of 47, 55, 46 and 24? (a) 43 (b) 44 (c) 42 (d) 45
  6. 6.What is the average of 24, 48, 47 and 17? (a) 34 (b) 35 (c) 36 (d) 33
  7. 7.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 60 (c) 32 (d) 86
  8. 8.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 15 (b) 27 (c) 58 (d) 16
  9. 9.What is the average of 46, 44, 39 and 55? (a) 48 (b) 47 (c) 46 (d) 45
  10. 10.What is the average of 69, 65, 70, 69 and 67? (a) 67 (b) 68 (c) 85 (d) 69
  11. 11.What is the average of all the whole numbers from 44 to 64? (a) 10 (b) 55 (c) 54 (d) 20
  12. 12.What is the average of 38, 43, 53 and 22? (a) 52 (b) 38 (c) 40 (d) 39
  13. 13.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 42 (b) 6 (c) 83 (d) 47
  14. 14.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 12 (b) 57 (c) 11 (d) 26
  15. 15.What is the average of all the whole numbers from 31 to 45? (a) 38 (b) 14 (c) 7 (d) 39
  16. 16.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 32 (b) 8 (c) 26 (d) 50
  17. 17.What is the average of 56, 51, 45, 55 and 28? (a) 49 (b) 46 (c) 47 (d) 48
  18. 18.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 34 (b) 28 (c) 54 (d) 8
  19. 19.What is the average of 28, 55, 36, 34 and 47? (a) 50 (b) 39 (c) 40 (d) 41
  20. 20.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 18 (b) 17 (c) 45 (d) 22
  21. 21.What is the average of all the whole numbers from 20 to 46? (a) 33 (b) 26 (c) 13 (d) 34
  22. 22.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 32 (c) 58 (d) 30
  23. 23.What is the average of all the whole numbers from 36 to 66? (a) 52 (b) 15 (c) 30 (d) 51
  24. 24.What is the average of all the whole numbers from 35 to 45? (a) 10 (b) 41 (c) 5 (d) 40
  25. 25.What is the average of 80, 66, 89 and 81? (a) 81 (b) 79 (c) 78 (d) 80
  26. 26.What is the average of 40, 25, 47, 42 and 31? (a) 38 (b) 36 (c) 37 (d) 39
  27. 27.What is the average of 56, 72, 66, 57, 74 and 83? (a) 67 (b) 69 (c) 68 (d) 70
  28. 28.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 42? (a) 42 (b) 50 (c) 64 (d) 98
  29. 29.What is the average of 90, 72, 66, 88 and 64? (a) 76 (b) 95 (c) 75 (d) 77
  30. 30.What is the average of 14, 11, 11 and 44? (a) 19 (b) 20 (c) 22 (d) 21
  31. 31.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 38 (b) 26 (c) 24 (d) 16
  32. 32.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 8 (c) 38 (d) 61
  33. 33.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 2 (b) 17 (c) 3 (d) 39
  34. 34.What is the average of all the whole numbers from 24 to 54? (a) 15 (b) 39 (c) 40 (d) 30
  35. 35.What is the average of all the whole numbers from 8 to 40? (a) 16 (b) 32 (c) 25 (d) 24
  36. 36.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 18 (b) 44 (c) 41 (d) 56
  37. 37.What is the average of all the whole numbers from 52 to 66? (a) 59 (b) 14 (c) 7 (d) 60
  38. 38.What is the average of 49, 47, 56 and 56? (a) 53 (b) 52 (c) 51 (d) 54
  39. 39.What is the average of all the whole numbers from 45 to 61? (a) 8 (b) 16 (c) 54 (d) 53
  40. 40.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) 59 (c) 67 (d) 99

Answer key

  1. 39
  2. 38
  3. 51
  4. 67
  5. 43
  6. 34
  7. 86
  8. 15
  9. 46
  10. 68
  11. 54
  12. 39
  13. 47
  14. 11
  15. 38
  16. 32
  17. 47
  18. 34
  19. 40
  20. 17
  21. 33
  22. 58
  23. 51
  24. 40
  25. 79
  26. 37
  27. 68
  28. 98
  29. 76
  30. 20
  31. 38
  32. 38
  33. 2
  34. 39
  35. 24
  36. 56
  37. 59
  38. 52
  39. 53
  40. 99

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