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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 955 · 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 62, 55, 48, 55, 43 and 79? (a) 58 (b) 59 (c) 56 (d) 57
  2. 2.What is the average of all the whole numbers from 19 to 57? (a) 19 (b) 39 (c) 37 (d) 38
  3. 3.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 57 (c) 40 (d) 87
  4. 4.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 50 (b) 75 (c) 30 (d) 35
  5. 5.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 104 (b) 69 (c) 45 (d) 64
  6. 6.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 83 (b) 34 (c) 27 (d) 63
  7. 7.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 70 (b) 12 (c) 62 (d) 60
  8. 8.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 35 (b) 60 (c) 85 (d) 55
  9. 9.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 58 (b) 40 (c) 24 (d) 37
  10. 10.What is the average of 29, 32, 36 and 75? (a) 44 (b) 45 (c) 43 (d) 42
  11. 11.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 47 (b) 41 (c) 54 (d) 89
  12. 12.What is the average of all the whole numbers from 25 to 35? (a) 31 (b) 30 (c) 5 (d) 10
  13. 13.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 71 (c) 48 (d) 35
  14. 14.What is the average of 40, 54, 55 and 15? (a) 40 (b) 41 (c) 43 (d) 42
  15. 15.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 8 (b) 34 (c) 40 (d) 66
  16. 16.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 14 (b) 33 (c) 13 (d) 71
  17. 17.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 24 (b) 54 (c) 42 (d) 36
  18. 18.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 13 (b) 86 (c) 41 (d) 14
  19. 19.What is the average of 36, 56, 48, 59 and 21? (a) 43 (b) 55 (c) 45 (d) 44
  20. 20.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 32 (c) 54 (d) 30
  21. 21.What is the average of 47, 48, 60 and 69? (a) 56 (b) 55 (c) 57 (d) 58
  22. 22.What is the average of 62, 61, 81, 72 and 89? (a) 74 (b) 73 (c) 75 (d) 72
  23. 23.What is the average of all the whole numbers from 25 to 39? (a) 14 (b) 7 (c) 33 (d) 32
  24. 24.What is the average of 29, 37, 32 and 10? (a) 28 (b) 27 (c) 26 (d) 36
  25. 25.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 63? (a) 48 (b) 63 (c) 71 (d) 103
  26. 26.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 40 (c) 42 (d) 74
  27. 27.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 65 (b) 40 (c) 75 (d) 30
  28. 28.What is the average of all the whole numbers from 43 to 65? (a) 55 (b) 22 (c) 54 (d) 11
  29. 29.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 5 (c) 25 (d) 10
  30. 30.What is the average of 61, 54, 63, 40, 40 and 42? (a) 60 (b) 50 (c) 49 (d) 51
  31. 31.What is the average of 67, 56, 83, 73 and 76? (a) 73 (b) 71 (c) 70 (d) 72
  32. 32.What is the average of all the whole numbers from 27 to 39? (a) 34 (b) 12 (c) 33 (d) 6
  33. 33.What is the average of all the whole numbers from 31 to 71? (a) 20 (b) 52 (c) 51 (d) 40
  34. 34.What is the average of 70, 48, 69, 50 and 43? (a) 55 (b) 70 (c) 56 (d) 57
  35. 35.What is the average of 86, 68, 73 and 65? (a) 74 (b) 72 (c) 75 (d) 73
  36. 36.What is the average of 12, 21, 5 and 42? (a) 22 (b) 19 (c) 20 (d) 21
  37. 37.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 55 (c) 87 (d) 40
  38. 38.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 57? (a) 28 (b) 81 (c) 61 (d) 57
  39. 39.What is the average of 59, 42, 64, 43 and 77? (a) 59 (b) 57 (c) 56 (d) 58
  40. 40.What is the average of all the whole numbers from 6 to 16? (a) 10 (b) 12 (c) 11 (d) 5

Answer key

  1. 57
  2. 38
  3. 87
  4. 75
  5. 104
  6. 83
  7. 70
  8. 85
  9. 58
  10. 43
  11. 89
  12. 30
  13. 71
  14. 41
  15. 40
  16. 13
  17. 54
  18. 13
  19. 44
  20. 54
  21. 56
  22. 73
  23. 32
  24. 27
  25. 103
  26. 74
  27. 65
  28. 54
  29. 25
  30. 50
  31. 71
  32. 33
  33. 51
  34. 56
  35. 73
  36. 20
  37. 87
  38. 81
  39. 57
  40. 11

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