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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 930 · 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 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 36 (b) 73 (c) 33 (d) 34
  2. 2.What is the average of 65, 71, 61 and 79? (a) 68 (b) 69 (c) 92 (d) 70
  3. 3.What is the average of all the whole numbers from 25 to 61? (a) 18 (b) 44 (c) 43 (d) 36
  4. 4.What is the average of all the whole numbers from 27 to 37? (a) 33 (b) 10 (c) 32 (d) 5
  5. 5.What is the average of 85, 70, 58, 86, 80 and 53? (a) 72 (b) 73 (c) 74 (d) 71
  6. 6.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 71 (c) 46 (d) 30
  7. 7.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 100 (c) 37 (d) 36
  8. 8.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) 80 (b) 52 (c) 59 (d) 35
  9. 9.What is the average of 46, 40, 46, 46 and 92? (a) 56 (b) 54 (c) 53 (d) 55
  10. 10.What is the average of 29, 18, 29 and 16? (a) 23 (b) 22 (c) 25 (d) 24
  11. 11.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 43 (c) 78 (d) 49
  12. 12.What is the average of all the whole numbers from 41 to 75? (a) 17 (b) 58 (c) 59 (d) 34
  13. 13.What is the average of all the whole numbers from 41 to 71? (a) 15 (b) 57 (c) 56 (d) 30
  14. 14.What is the average of 59, 58, 43 and 48? (a) 52 (b) 51 (c) 53 (d) 54
  15. 15.What is the average of 64, 57, 85, 60, 69 and 85? (a) 84 (b) 71 (c) 70 (d) 69
  16. 16.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 34 (b) 25 (c) 70 (d) 24
  17. 17.What is the average of 37, 38, 51, 38, 39 and 67? (a) 44 (b) 46 (c) 54 (d) 45
  18. 18.What is the average of 61, 51, 48, 49, 37 and 66? (a) 51 (b) 54 (c) 53 (d) 52
  19. 19.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 25 (b) 7 (c) 19 (d) 37
  20. 20.What is the average of all the whole numbers from 19 to 29? (a) 5 (b) 10 (c) 24 (d) 25
  21. 21.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 30 (b) 32 (c) 35 (d) 59
  22. 22.What is the average of all the whole numbers from 20 to 34? (a) 7 (b) 28 (c) 14 (d) 27
  23. 23.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 33 (b) 34 (c) 92 (d) 45
  24. 24.What is the average of 73, 58, 60, 58, 67 and 38? (a) 61 (b) 59 (c) 58 (d) 60
  25. 25.What is the average of 15, 19, 28, 35 and 33? (a) 26 (b) 25 (c) 28 (d) 27
  26. 26.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 76 (c) 44 (d) 48
  27. 27.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 53 (b) 44 (c) 47 (d) 12
  28. 28.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 4 (b) 25 (c) 22 (d) 43
  29. 29.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 38 (c) 92 (d) 60
  30. 30.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) 18 (b) 58 (c) 73 (d) 61
  31. 31.What is the average of 45, 50, 39 and 34? (a) 41 (b) 43 (c) 42 (d) 56
  32. 32.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 38 (c) 18 (d) 54
  33. 33.What is the average of all the whole numbers from 45 to 57? (a) 6 (b) 12 (c) 51 (d) 52
  34. 34.What is the average of 21, 15, 38, 35, 38 and 21? (a) 28 (b) 29 (c) 30 (d) 27
  35. 35.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 6 (b) 16 (c) 11 (d) 21
  36. 36.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 18 (b) 74 (c) 59 (d) 62
  37. 37.What is the average of 70, 69, 68 and 105? (a) 77 (b) 104 (c) 78 (d) 79
  38. 38.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 21 (c) 28 (d) 46
  39. 39.What is the average of 29, 33, 35, 31 and 82? (a) 44 (b) 43 (c) 42 (d) 41
  40. 40.What is the average of 28, 40, 52, 33 and 57? (a) 43 (b) 44 (c) 41 (d) 42

Answer key

  1. 33
  2. 69
  3. 43
  4. 32
  5. 72
  6. 71
  7. 36
  8. 80
  9. 54
  10. 23
  11. 78
  12. 58
  13. 56
  14. 52
  15. 70
  16. 24
  17. 45
  18. 52
  19. 25
  20. 24
  21. 59
  22. 27
  23. 33
  24. 59
  25. 26
  26. 76
  27. 53
  28. 25
  29. 92
  30. 73
  31. 42
  32. 54
  33. 51
  34. 28
  35. 16
  36. 74
  37. 78
  38. 46
  39. 42
  40. 42

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