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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 335 · 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 28 to 54? (a) 41 (b) 42 (c) 26 (d) 13
  2. 2.What is the average of all the whole numbers from 37 to 49? (a) 12 (b) 6 (c) 44 (d) 43
  3. 3.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 63 (b) 116 (c) 67 (d) 60
  4. 4.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 32 (b) 61 (c) 37 (d) 33
  5. 5.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 79 (c) 69 (d) 20
  6. 6.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 16 (b) 44 (c) 58 (d) 46
  7. 7.What is the average of 21, 28, 39, 33 and 4? (a) 26 (b) 27 (c) 24 (d) 25
  8. 8.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 24 (b) 60 (c) 42 (d) 39
  9. 9.What is the average of all the whole numbers from 40 to 52? (a) 6 (b) 12 (c) 47 (d) 46
  10. 10.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 49 (b) 82 (c) 40 (d) 47
  11. 11.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 40 (b) 47 (c) 25 (d) 18
  12. 12.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) 51 (d) 9
  13. 13.What is the average of 66, 60, 77 and 53? (a) 64 (b) 65 (c) 63 (d) 66
  14. 14.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 30 (b) 24 (c) 10 (d) 22
  15. 15.What is the average of 71, 80, 56, 56 and 77? (a) 67 (b) 69 (c) 85 (d) 68
  16. 16.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 56 (c) 81 (d) 41
  17. 17.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 24 (b) 32 (c) 29 (d) 50
  18. 18.What is the average of all the whole numbers from 28 to 40? (a) 6 (b) 35 (c) 12 (d) 34
  19. 19.What is the average of 64, 60, 80 and 60? (a) 65 (b) 88 (c) 66 (d) 67
  20. 20.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 24 (b) 59 (c) 74 (d) 39
  21. 21.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 50 (b) 62 (c) 48 (d) 16
  22. 22.What is the average of all the whole numbers from 14 to 30? (a) 22 (b) 23 (c) 8 (d) 16
  23. 23.What is the average of all the whole numbers from 54 to 68? (a) 14 (b) 62 (c) 7 (d) 61
  24. 24.What is the average of 33, 19, 27 and 21? (a) 27 (b) 25 (c) 26 (d) 24
  25. 25.What is the average of all the whole numbers from 50 to 90? (a) 40 (b) 70 (c) 71 (d) 20
  26. 26.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 28 (c) 27 (d) 49
  27. 27.What is the average of all the whole numbers from 33 to 41? (a) 37 (b) 8 (c) 38 (d) 4
  28. 28.What is the average of 53, 50, 25 and 24? (a) 40 (b) 38 (c) 37 (d) 39
  29. 29.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 14 (b) 13 (c) 25 (d) 52
  30. 30.What is the average of all the whole numbers from 30 to 60? (a) 15 (b) 45 (c) 46 (d) 30
  31. 31.What is the average of all the whole numbers from 50 to 86? (a) 69 (b) 18 (c) 68 (d) 36
  32. 32.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 48 (c) 28 (d) 68
  33. 33.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 14 (b) 39 (c) 37 (d) 49
  34. 34.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 70 (b) 27 (c) 34 (d) 90
  35. 35.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 16 (c) 36 (d) 44
  36. 36.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 44 (c) 72 (d) 35
  37. 37.What is the average of all the whole numbers from 19 to 41? (a) 31 (b) 11 (c) 30 (d) 22
  38. 38.What is the average of 12, 36, 21, 13 and 38? (a) 24 (b) 25 (c) 23 (d) 30
  39. 39.What is the average of 54, 52, 75 and 59? (a) 61 (b) 60 (c) 59 (d) 80
  40. 40.What is the average of 33, 26, 39, 27 and 35? (a) 40 (b) 33 (c) 31 (d) 32

Answer key

  1. 41
  2. 43
  3. 116
  4. 61
  5. 79
  6. 58
  7. 25
  8. 60
  9. 46
  10. 82
  11. 40
  12. 9
  13. 64
  14. 30
  15. 68
  16. 81
  17. 50
  18. 34
  19. 66
  20. 59
  21. 62
  22. 22
  23. 61
  24. 25
  25. 70
  26. 49
  27. 37
  28. 38
  29. 13
  30. 45
  31. 68
  32. 68
  33. 49
  34. 90
  35. 44
  36. 72
  37. 30
  38. 24
  39. 60
  40. 32

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