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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 973 · 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 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 16 (c) 60 (d) 46
  2. 2.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 51 (b) 29 (c) 26 (d) 4
  3. 3.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 60 (b) 32 (c) 36 (d) 28
  4. 4.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 25 (b) 26 (c) 37 (d) 77
  5. 5.What is the average of 86, 66, 70 and 86? (a) 79 (b) 78 (c) 77 (d) 76
  6. 6.What is the average of 45, 32, 39, 22, 40 and 8? (a) 32 (b) 31 (c) 33 (d) 30
  7. 7.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 20 (c) 58 (d) 76
  8. 8.What is the average of all the whole numbers from 41 to 61? (a) 51 (b) 52 (c) 10 (d) 20
  9. 9.What is the average of 32, 52, 49 and 43? (a) 46 (b) 45 (c) 44 (d) 43
  10. 10.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 33 (b) 16 (c) 9 (d) 10
  11. 11.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 33 (c) 12 (d) 16
  12. 12.What is the average of all the whole numbers from 8 to 16? (a) 8 (b) 4 (c) 12 (d) 13
  13. 13.What is the average of 36, 19, 15, 17 and 58? (a) 29 (b) 28 (c) 31 (d) 30
  14. 14.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 40? (a) 77 (b) 44 (c) 40 (d) 76
  15. 15.What is the average of all the whole numbers from 18 to 30? (a) 25 (b) 12 (c) 6 (d) 24
  16. 16.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 34 (c) 35 (d) 36
  17. 17.What is the average of 26, 37, 23 and 58? (a) 35 (b) 37 (c) 36 (d) 48
  18. 18.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 28 (b) 50 (c) 26 (d) 48
  19. 19.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 37 (c) 90 (d) 36
  20. 20.What is the average of 19, 26, 29 and 58? (a) 32 (b) 34 (c) 33 (d) 44
  21. 21.What is the average of all the whole numbers from 56 to 66? (a) 5 (b) 61 (c) 10 (d) 62
  22. 22.What is the average of 43, 30, 43 and 56? (a) 45 (b) 42 (c) 44 (d) 43
  23. 23.What is the average of 62, 50, 51 and 85? (a) 62 (b) 61 (c) 63 (d) 64
  24. 24.What is the average of 19, 23, 26 and 56? (a) 32 (b) 30 (c) 31 (d) 33
  25. 25.What is the average of all the whole numbers from 57 to 97? (a) 20 (b) 78 (c) 40 (d) 77
  26. 26.What is the average of all the whole numbers from 22 to 54? (a) 38 (b) 39 (c) 32 (d) 16
  27. 27.What is the average of 48, 52, 55, 29 and 36? (a) 45 (b) 43 (c) 55 (d) 44
  28. 28.What is the average of all the whole numbers from 31 to 47? (a) 8 (b) 39 (c) 16 (d) 40
  29. 29.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 34 (b) 54 (c) 8 (d) 28
  30. 30.What is the average of 28, 42, 28, 28 and 9? (a) 29 (b) 28 (c) 27 (d) 26
  31. 31.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 25 (c) 51 (d) 48
  32. 32.What is the average of 7, 32, 27, 25, 11 and 18? (a) 24 (b) 19 (c) 20 (d) 21
  33. 33.What is the average of all the whole numbers from 28 to 68? (a) 20 (b) 48 (c) 40 (d) 49
  34. 34.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 35 (c) 49 (d) 70
  35. 35.What is the average of 31, 42, 28 and 19? (a) 40 (b) 29 (c) 31 (d) 30
  36. 36.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 30 (c) 25 (d) 6
  37. 37.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 50 (b) 105 (c) 16 (d) 15
  38. 38.What is the average of 51, 64, 50, 43 and 57? (a) 55 (b) 54 (c) 53 (d) 52
  39. 39.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 34 (c) 76 (d) 56
  40. 40.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 121 (b) 65 (c) 72 (d) 63

Answer key

  1. 60
  2. 29
  3. 60
  4. 25
  5. 77
  6. 31
  7. 76
  8. 51
  9. 44
  10. 9
  11. 11
  12. 12
  13. 29
  14. 76
  15. 24
  16. 35
  17. 36
  18. 50
  19. 36
  20. 33
  21. 61
  22. 43
  23. 62
  24. 31
  25. 77
  26. 38
  27. 44
  28. 39
  29. 34
  30. 27
  31. 48
  32. 20
  33. 48
  34. 70
  35. 30
  36. 30
  37. 15
  38. 53
  39. 76
  40. 121

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