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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 990 · 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.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 35 (b) 59 (c) 52 (d) 80
  2. 2.What is the average of 42, 43, 39, 60, 42 and 92? (a) 55 (b) 52 (c) 54 (d) 53
  3. 3.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
  4. 4.What is the average of 82, 82, 81 and 63? (a) 79 (b) 76 (c) 78 (d) 77
  5. 5.What is the average of all the whole numbers from 11 to 17? (a) 14 (b) 3 (c) 15 (d) 6
  6. 6.What is the average of 38, 36, 40 and 74? (a) 47 (b) 48 (c) 49 (d) 46
  7. 7.What is the average of 41, 51, 25, 29 and 34? (a) 37 (b) 45 (c) 36 (d) 35
  8. 8.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 37 (c) 36 (d) 43
  9. 9.What is the average of 70, 77, 75, 71 and 52? (a) 71 (b) 69 (c) 68 (d) 70
  10. 10.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 10 (c) 54 (d) 55
  11. 11.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 74 (b) 42 (c) 46 (d) 36
  12. 12.What is the average of 51, 46, 40 and 83? (a) 57 (b) 54 (c) 55 (d) 56
  13. 13.What is the average of 38, 37, 42, 28, 40 and 1? (a) 32 (b) 33 (c) 31 (d) 30
  14. 14.What is the average of 35, 59, 46, 62 and 43? (a) 51 (b) 48 (c) 50 (d) 49
  15. 15.What is the average of 40, 29, 48, 32 and 31? (a) 45 (b) 35 (c) 36 (d) 37
  16. 16.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 35 (d) 59
  17. 17.What is the average of 45, 56, 52, 57, 33 and 33? (a) 45 (b) 47 (c) 46 (d) 48
  18. 18.What is the average of all the whole numbers from 30 to 66? (a) 36 (b) 18 (c) 49 (d) 48
  19. 19.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 62 (c) 34 (d) 36
  20. 20.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 106 (b) 43 (c) 50 (d) 70
  21. 21.What is the average of 55, 68, 67 and 78? (a) 68 (b) 66 (c) 67 (d) 69
  22. 22.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 42 (c) 62 (d) 24
  23. 23.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 9 (c) 27 (d) 8
  24. 24.What is the average of all the whole numbers from 11 to 41? (a) 15 (b) 26 (c) 27 (d) 30
  25. 25.What is the average of all the whole numbers from 52 to 80? (a) 14 (b) 66 (c) 28 (d) 67
  26. 26.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 26 (b) 7 (c) 39 (d) 20
  27. 27.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 29 (b) 30 (c) 38 (d) 79
  28. 28.What is the average of all the whole numbers from 32 to 70? (a) 19 (b) 51 (c) 38 (d) 52
  29. 29.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 65 (c) 89 (d) 30
  30. 30.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 34 (c) 19 (d) 47
  31. 31.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 12 (c) 61 (d) 11
  32. 32.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 7 (c) 12 (d) 18
  33. 33.What is the average of 50, 46, 62, 42 and 40? (a) 60 (b) 48 (c) 47 (d) 49
  34. 34.What is the average of all the whole numbers from 39 to 59? (a) 10 (b) 49 (c) 20 (d) 50
  35. 35.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) 6 (b) 39 (c) 67 (d) 34
  36. 36.What is the average of 27, 14, 12 and 31? (a) 21 (b) 20 (c) 28 (d) 22
  37. 37.What is the average of 63, 48, 60 and 41? (a) 55 (b) 54 (c) 53 (d) 52
  38. 38.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 41 (c) 26 (d) 20
  39. 39.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 39 (b) 40 (c) 46 (d) 93
  40. 40.What is the average of 81, 59, 78 and 74? (a) 73 (b) 72 (c) 75 (d) 74

Answer key

  1. 80
  2. 53
  3. 73
  4. 77
  5. 14
  6. 47
  7. 36
  8. 36
  9. 69
  10. 54
  11. 74
  12. 55
  13. 31
  14. 49
  15. 36
  16. 59
  17. 46
  18. 48
  19. 62
  20. 106
  21. 67
  22. 62
  23. 8
  24. 26
  25. 66
  26. 26
  27. 29
  28. 51
  29. 89
  30. 47
  31. 11
  32. 18
  33. 48
  34. 49
  35. 39
  36. 21
  37. 53
  38. 41
  39. 39
  40. 73

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