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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 858 · 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 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 16 (c) 22 (d) 25
  2. 2.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 32 (b) 18 (c) 42 (d) 28
  3. 3.What is the average of 65, 68, 76 and 59? (a) 66 (b) 69 (c) 67 (d) 68
  4. 4.What is the average of 29, 37, 44, 43 and 52? (a) 41 (b) 43 (c) 42 (d) 40
  5. 5.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 52? (a) 79 (b) 55 (c) 52 (d) 30
  6. 6.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 49? (a) 32 (b) 49 (c) 73 (d) 57
  7. 7.What is the average of all the whole numbers from 41 to 77? (a) 60 (b) 18 (c) 36 (d) 59
  8. 8.What is the average of all the whole numbers from 54 to 90? (a) 73 (b) 36 (c) 18 (d) 72
  9. 9.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 128 (c) 64 (d) 80
  10. 10.What is the average of 40, 30, 27 and 35? (a) 34 (b) 44 (c) 32 (d) 33
  11. 11.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 71 (b) 7 (c) 36 (d) 42
  12. 12.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 18 (b) 38 (c) 79 (d) 17
  13. 13.What is the average of 28, 31, 37, 37 and 47? (a) 35 (b) 36 (c) 45 (d) 37
  14. 14.What is the average of all the whole numbers from 39 to 45? (a) 43 (b) 6 (c) 42 (d) 3
  15. 15.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 32 (c) 42 (d) 58
  16. 16.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 55 (c) 64 (d) 12
  17. 17.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 19 (c) 34 (d) 35
  18. 18.What is the average of all the whole numbers from 60 to 82? (a) 72 (b) 22 (c) 11 (d) 71
  19. 19.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 27 (c) 33 (d) 28
  20. 20.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 32 (c) 14 (d) 34
  21. 21.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 55 (c) 73 (d) 30
  22. 22.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 38 (c) 24 (d) 16
  23. 23.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 28 (b) 63 (c) 42 (d) 49
  24. 24.What is the average of all the whole numbers from 54 to 84? (a) 15 (b) 69 (c) 70 (d) 30
  25. 25.What is the average of all the whole numbers from 49 to 69? (a) 60 (b) 10 (c) 59 (d) 20
  26. 26.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 42 (b) 44 (c) 79 (d) 51
  27. 27.What is the average of 82, 84, 72 and 82? (a) 82 (b) 80 (c) 79 (d) 81
  28. 28.What is the average of 70, 81, 86, 59 and 74? (a) 73 (b) 74 (c) 76 (d) 75
  29. 29.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 26? (a) 42 (b) 26 (c) 28 (d) 18
  30. 30.What is the average of 41, 16, 39, 41, 24 and 7? (a) 29 (b) 30 (c) 28 (d) 27
  31. 31.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 66 (c) 30 (d) 90
  32. 32.What is the average of 51, 37, 61, 39, 50 and 56? (a) 50 (b) 48 (c) 51 (d) 49
  33. 33.What is the average of all the whole numbers from 60 to 76? (a) 68 (b) 69 (c) 8 (d) 16
  34. 34.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 35 (c) 21 (d) 16
  35. 35.What is the average of 23, 18, 16 and 51? (a) 26 (b) 27 (c) 36 (d) 28
  36. 36.What is the average of 41, 44, 33, 52, 42 and 64? (a) 47 (b) 46 (c) 48 (d) 45
  37. 37.What is the average of 30, 35, 25 and 58? (a) 39 (b) 38 (c) 36 (d) 37
  38. 38.What is the average of 70, 64, 83 and 83? (a) 76 (b) 100 (c) 75 (d) 74
  39. 39.What is the average of 49, 71, 57, 76, 51 and 74? (a) 65 (b) 63 (c) 64 (d) 62
  40. 40.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 35 (c) 10 (d) 34

Answer key

  1. 25
  2. 42
  3. 67
  4. 41
  5. 79
  6. 73
  7. 59
  8. 72
  9. 128
  10. 33
  11. 42
  12. 17
  13. 36
  14. 42
  15. 58
  16. 64
  17. 35
  18. 71
  19. 27
  20. 44
  21. 73
  22. 38
  23. 63
  24. 69
  25. 59
  26. 79
  27. 80
  28. 74
  29. 42
  30. 28
  31. 90
  32. 49
  33. 68
  34. 35
  35. 27
  36. 46
  37. 37
  38. 75
  39. 63
  40. 34

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