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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 969 · 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 66, 51, 56, 64, 52 and 29? (a) 55 (b) 52 (c) 54 (d) 53
  2. 2.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 45 (b) 32 (c) 30 (d) 17
  3. 3.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 71 (b) 50 (c) 47 (d) 27
  4. 4.What is the average of all the whole numbers from 15 to 41? (a) 13 (b) 26 (c) 29 (d) 28
  5. 5.What is the average of all the whole numbers from 23 to 51? (a) 14 (b) 38 (c) 37 (d) 28
  6. 6.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 10 (b) 24 (c) 9 (d) 51
  7. 7.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 98 (b) 47 (c) 36 (d) 35
  8. 8.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 10 (c) 34 (d) 50
  9. 9.What is the average of all the whole numbers from 60 to 100? (a) 40 (b) 81 (c) 20 (d) 80
  10. 10.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 30 (c) 20 (d) 33
  11. 11.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 46? (a) 20 (b) 51 (c) 61 (d) 46
  12. 12.What is the average of 30, 28, 44 and 22? (a) 30 (b) 32 (c) 33 (d) 31
  13. 13.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 36? (a) 63 (b) 43 (c) 36 (d) 92
  14. 14.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 8 (c) 33 (d) 52
  15. 15.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 6 (c) 51 (d) 7
  16. 16.What is the average of 10, 39, 11 and 36? (a) 24 (b) 32 (c) 25 (d) 23
  17. 17.What is the average of 30, 44, 29, 43, 26 and 68? (a) 40 (b) 39 (c) 48 (d) 41
  18. 18.What is the average of 64, 61, 57, 65 and 78? (a) 65 (b) 67 (c) 64 (d) 66
  19. 19.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 16 (c) 68 (d) 17
  20. 20.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 56 (c) 57 (d) 35
  21. 21.What is the average of 45, 57, 57, 55 and 56? (a) 56 (b) 55 (c) 54 (d) 53
  22. 22.What is the average of 84, 78, 65, 90 and 68? (a) 78 (b) 77 (c) 76 (d) 79
  23. 23.What is the average of all the whole numbers from 29 to 45? (a) 16 (b) 8 (c) 37 (d) 38
  24. 24.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 40 (b) 31 (c) 39 (d) 63
  25. 25.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 71 (c) 36 (d) 4
  26. 26.What is the average of all the whole numbers from 29 to 69? (a) 20 (b) 40 (c) 49 (d) 50
  27. 27.What is the average of 13, 40, 40 and 11? (a) 25 (b) 26 (c) 28 (d) 27
  28. 28.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 25? (a) 46 (b) 28 (c) 24 (d) 25
  29. 29.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 31 (c) 17 (d) 29
  30. 30.What is the average of 59, 67, 67, 41 and 41? (a) 57 (b) 56 (c) 54 (d) 55
  31. 31.What is the average of all the whole numbers from 32 to 62? (a) 30 (b) 47 (c) 48 (d) 15
  32. 32.What is the average of all the whole numbers from 15 to 27? (a) 22 (b) 21 (c) 6 (d) 12
  33. 33.What is the average of all the whole numbers from 13 to 43? (a) 15 (b) 30 (c) 28 (d) 29
  34. 34.What is the average of 51, 40, 46, 32 and 56? (a) 47 (b) 44 (c) 46 (d) 45
  35. 35.What is the average of all the whole numbers from 26 to 66? (a) 40 (b) 20 (c) 46 (d) 47
  36. 36.What is the average of 29, 34, 31 and 74? (a) 43 (b) 41 (c) 56 (d) 42
  37. 37.What is the average of all the whole numbers from 56 to 96? (a) 77 (b) 40 (c) 76 (d) 20
  38. 38.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 119 (c) 55 (d) 80
  39. 39.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 50 (b) 54 (c) 59 (d) 99
  40. 40.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 14 (b) 62 (c) 64 (d) 74

Answer key

  1. 53
  2. 45
  3. 71
  4. 28
  5. 37
  6. 9
  7. 35
  8. 34
  9. 80
  10. 33
  11. 61
  12. 31
  13. 92
  14. 33
  15. 6
  16. 24
  17. 40
  18. 65
  19. 16
  20. 56
  21. 54
  22. 77
  23. 37
  24. 63
  25. 39
  26. 49
  27. 26
  28. 46
  29. 29
  30. 55
  31. 47
  32. 21
  33. 28
  34. 45
  35. 46
  36. 42
  37. 76
  38. 119
  39. 99
  40. 74

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