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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 953 · 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 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 50 (c) 46 (d) 101
  2. 2.What is the average of 41, 18, 28, 28 and 20? (a) 26 (b) 29 (c) 27 (d) 28
  3. 3.What is the average of 65, 61, 71, 77, 72 and 110? (a) 78 (b) 75 (c) 77 (d) 76
  4. 4.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 40 (b) 52 (c) 57 (d) 87
  5. 5.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 80 (b) 10 (c) 38 (d) 11
  6. 6.What is the average of all the whole numbers from 51 to 65? (a) 58 (b) 7 (c) 59 (d) 14
  7. 7.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 5 (b) 16 (c) 20 (d) 31
  8. 8.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 48 (b) 91 (c) 30 (d) 73
  9. 9.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 28 (c) 86 (d) 42
  10. 10.What is the average of all the whole numbers from 5 to 29? (a) 18 (b) 12 (c) 24 (d) 17
  11. 11.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 20 (b) 31 (c) 18 (d) 33
  12. 12.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 24 (b) 49 (c) 70 (d) 95
  13. 13.What is the average of all the whole numbers from 7 to 45? (a) 38 (b) 19 (c) 26 (d) 27
  14. 14.What is the average of 74, 62, 69, 65 and 80? (a) 70 (b) 71 (c) 69 (d) 72
  15. 15.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 35 (b) 59 (c) 6 (d) 30
  16. 16.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 12 (c) 62 (d) 68
  17. 17.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 10 (b) 22 (c) 14 (d) 26
  18. 18.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 24 (b) 68 (c) 56 (d) 36
  19. 19.What is the average of 59, 42, 64 and 59? (a) 55 (b) 57 (c) 56 (d) 58
  20. 20.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 45 (c) 15 (d) 33
  21. 21.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 28 (b) 34 (c) 26 (d) 10
  22. 22.What is the average of 22, 37, 10, 20 and 21? (a) 21 (b) 23 (c) 24 (d) 22
  23. 23.What is the average of 76, 75, 76 and 45? (a) 69 (b) 70 (c) 67 (d) 68
  24. 24.What is the average of all the whole numbers from 34 to 50? (a) 8 (b) 43 (c) 16 (d) 42
  25. 25.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 73 (c) 61 (d) 18
  26. 26.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 38 (c) 8 (d) 44
  27. 27.What is the average of 52, 22, 24 and 50? (a) 37 (b) 39 (c) 36 (d) 38
  28. 28.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 20 (b) 52 (c) 62 (d) 47
  29. 29.What is the average of 90, 70, 79, 70, 92 and 73? (a) 79 (b) 80 (c) 81 (d) 78
  30. 30.What is the average of 37, 32, 20 and 43? (a) 44 (b) 34 (c) 32 (d) 33
  31. 31.What is the average of 58, 68, 78 and 56? (a) 67 (b) 64 (c) 66 (d) 65
  32. 32.What is the average of 51, 56, 54, 66 and 98? (a) 64 (b) 67 (c) 66 (d) 65
  33. 33.What is the average of all the whole numbers from 15 to 41? (a) 28 (b) 13 (c) 29 (d) 26
  34. 34.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 8 (c) 25 (d) 16
  35. 35.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 56 (c) 27 (d) 32
  36. 36.What is the average of 79, 73, 93, 83, 65 and 87? (a) 81 (b) 79 (c) 96 (d) 80
  37. 37.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 58 (c) 34 (d) 27
  38. 38.What is the average of all the whole numbers from 13 to 25? (a) 19 (b) 6 (c) 12 (d) 20
  39. 39.What is the average of 45, 35, 20 and 28? (a) 34 (b) 32 (c) 33 (d) 31
  40. 40.What is the average of 39, 66, 67, 56 and 42? (a) 54 (b) 55 (c) 56 (d) 53

Answer key

  1. 46
  2. 27
  3. 76
  4. 87
  5. 10
  6. 58
  7. 20
  8. 73
  9. 28
  10. 17
  11. 33
  12. 70
  13. 26
  14. 70
  15. 35
  16. 68
  17. 22
  18. 56
  19. 56
  20. 45
  21. 34
  22. 22
  23. 68
  24. 42
  25. 73
  26. 44
  27. 37
  28. 62
  29. 79
  30. 33
  31. 65
  32. 65
  33. 28
  34. 24
  35. 56
  36. 80
  37. 58
  38. 19
  39. 32
  40. 54

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