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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 952 · 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 24 to 38? (a) 32 (b) 31 (c) 7 (d) 14
  2. 2.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 14 (b) 36 (c) 31 (d) 19
  3. 3.What is the average of 60, 48, 61 and 55? (a) 58 (b) 56 (c) 55 (d) 57
  4. 4.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 66 (b) 59 (c) 35 (d) 87
  5. 5.What is the average of 74, 75, 69, 76, 75 and 93? (a) 76 (b) 77 (c) 78 (d) 79
  6. 6.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 47 (b) 2 (c) 1 (d) 21
  7. 7.What is the average of 52, 50, 75, 75 and 48? (a) 75 (b) 59 (c) 61 (d) 60
  8. 8.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 49 (c) 42 (d) 20
  9. 9.What is the average of 73, 61, 66, 62, 72 and 104? (a) 74 (b) 72 (c) 75 (d) 73
  10. 10.What is the average of all the whole numbers from 24 to 36? (a) 12 (b) 31 (c) 6 (d) 30
  11. 11.What is the average of all the whole numbers from 45 to 61? (a) 53 (b) 16 (c) 54 (d) 8
  12. 12.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 19 (b) 18 (c) 21 (d) 43
  13. 13.What is the average of 75, 54, 67 and 80? (a) 69 (b) 92 (c) 68 (d) 70
  14. 14.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 13 (c) 24 (d) 10
  15. 15.What is the average of 68, 73, 58 and 73? (a) 70 (b) 68 (c) 67 (d) 69
  16. 16.What is the average of 54, 44, 41, 43 and 83? (a) 55 (b) 52 (c) 53 (d) 54
  17. 17.What is the average of 42, 39, 44, 39 and 106? (a) 56 (b) 54 (c) 53 (d) 55
  18. 18.What is the average of 75, 57, 60 and 76? (a) 69 (b) 68 (c) 67 (d) 66
  19. 19.What is the average of 22, 13, 11 and 34? (a) 22 (b) 21 (c) 20 (d) 19
  20. 20.What is the average of all the whole numbers from 12 to 34? (a) 22 (b) 11 (c) 24 (d) 23
  21. 21.What is the average of all the whole numbers from 49 to 67? (a) 9 (b) 18 (c) 59 (d) 58
  22. 22.What is the average of 66, 49, 53 and 44? (a) 55 (b) 54 (c) 52 (d) 53
  23. 23.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 48 (c) 91 (d) 55
  24. 24.What is the average of all the whole numbers from 41 to 65? (a) 24 (b) 54 (c) 53 (d) 12
  25. 25.What is the average of 63, 51, 54 and 56? (a) 55 (b) 57 (c) 58 (d) 56
  26. 26.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 70 (c) 10 (d) 9
  27. 27.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 11 (b) 36 (c) 17 (d) 12
  28. 28.What is the average of all the whole numbers from 14 to 46? (a) 30 (b) 32 (c) 31 (d) 16
  29. 29.What is the average of 33, 16, 22, 21 and 8? (a) 25 (b) 19 (c) 20 (d) 21
  30. 30.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) 44 (b) 74 (c) 38 (d) 8
  31. 31.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 30? (a) 37 (b) 30 (c) 42 (d) 65
  32. 32.What is the average of all the whole numbers from 22 to 36? (a) 30 (b) 7 (c) 29 (d) 14
  33. 33.What is the average of 46, 45, 57 and 64? (a) 54 (b) 52 (c) 55 (d) 53
  34. 34.What is the average of all the whole numbers from 18 to 42? (a) 12 (b) 31 (c) 30 (d) 24
  35. 35.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 74 (b) 21 (c) 59 (d) 56
  36. 36.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 14 (b) 80 (c) 38 (d) 15
  37. 37.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 84 (c) 64 (d) 24
  38. 38.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 12 (c) 58 (d) 95
  39. 39.What is the average of 39, 28, 25, 45 and 63? (a) 41 (b) 50 (c) 39 (d) 40
  40. 40.What is the average of 25, 40, 48, 42 and 15? (a) 36 (b) 33 (c) 35 (d) 34

Answer key

  1. 31
  2. 31
  3. 56
  4. 87
  5. 77
  6. 1
  7. 60
  8. 42
  9. 73
  10. 30
  11. 53
  12. 18
  13. 69
  14. 21
  15. 68
  16. 53
  17. 54
  18. 67
  19. 20
  20. 23
  21. 58
  22. 53
  23. 91
  24. 53
  25. 56
  26. 9
  27. 11
  28. 30
  29. 20
  30. 44
  31. 65
  32. 29
  33. 53
  34. 30
  35. 74
  36. 14
  37. 64
  38. 58
  39. 40
  40. 34

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