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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 251 · 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 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 60 (b) 36 (c) 61 (d) 32
  2. 2.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 42 (c) 78 (d) 43
  3. 3.What is the average of 34, 11, 39 and 16? (a) 25 (b) 27 (c) 24 (d) 26
  4. 4.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 17 (c) 25 (d) 31
  5. 5.What is the average of all the whole numbers from 18 to 34? (a) 8 (b) 26 (c) 27 (d) 16
  6. 6.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 39 (b) 80 (c) 28 (d) 27
  7. 7.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 11 (c) 20 (d) 12
  8. 8.What is the average of all the whole numbers from 20 to 44? (a) 12 (b) 33 (c) 24 (d) 32
  9. 9.What is the average of all the whole numbers from 5 to 23? (a) 15 (b) 18 (c) 9 (d) 14
  10. 10.What is the average of all the whole numbers from 6 to 44? (a) 25 (b) 38 (c) 26 (d) 19
  11. 11.What is the average of all the whole numbers from 30 to 56? (a) 43 (b) 13 (c) 44 (d) 26
  12. 12.What is the average of all the whole numbers from 45 to 75? (a) 60 (b) 30 (c) 61 (d) 15
  13. 13.What is the average of all the whole numbers from 32 to 64? (a) 32 (b) 48 (c) 49 (d) 16
  14. 14.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 12 (c) 37 (d) 46
  15. 15.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 43 (b) 33 (c) 31 (d) 14
  16. 16.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 40 (b) 62 (c) 86 (d) 54
  17. 17.What is the average of all the whole numbers from 57 to 67? (a) 5 (b) 10 (c) 62 (d) 63
  18. 18.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 32 (b) 51 (c) 42 (d) 23
  19. 19.What is the average of all the whole numbers from 11 to 17? (a) 6 (b) 14 (c) 15 (d) 3
  20. 20.What is the average of all the whole numbers from 34 to 40? (a) 38 (b) 3 (c) 37 (d) 6
  21. 21.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 71 (c) 29 (d) 30
  22. 22.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 4 (b) 45 (c) 42 (d) 83
  23. 23.What is the average of 67, 56, 56 and 61? (a) 61 (b) 80 (c) 60 (d) 59
  24. 24.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 96 (c) 60 (d) 42
  25. 25.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 10 (c) 75 (d) 11
  26. 26.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 25 (c) 16 (d) 8
  27. 27.What is the average of 76, 60, 49, 73, 66 and 42? (a) 60 (b) 61 (c) 62 (d) 63
  28. 28.What is the average of 40, 49, 66, 40, 45 and 90? (a) 66 (b) 56 (c) 54 (d) 55
  29. 29.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 31 (b) 30 (c) 45 (d) 95
  30. 30.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 24 (b) 35 (c) 39 (d) 55
  31. 31.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 50 (b) 25 (c) 30 (d) 55
  32. 32.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 56 (b) 32 (c) 48 (d) 72
  33. 33.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 24 (b) 44 (c) 62 (d) 50
  34. 34.What is the average of 46, 48, 30 and 20? (a) 48 (b) 37 (c) 36 (d) 35
  35. 35.What is the average of 84, 92, 75, 86 and 63? (a) 79 (b) 100 (c) 81 (d) 80
  36. 36.What is the average of 32, 19, 16 and 21? (a) 22 (b) 23 (c) 24 (d) 21
  37. 37.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 59 (c) 74 (d) 20
  38. 38.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 113 (d) 64
  39. 39.What is the average of all the whole numbers from 17 to 33? (a) 25 (b) 8 (c) 16 (d) 26
  40. 40.What is the average of 39, 49, 43, 35, 64 and 70? (a) 51 (b) 60 (c) 49 (d) 50

Answer key

  1. 60
  2. 78
  3. 25
  4. 31
  5. 26
  6. 27
  7. 11
  8. 32
  9. 14
  10. 25
  11. 43
  12. 60
  13. 48
  14. 46
  15. 43
  16. 86
  17. 62
  18. 51
  19. 14
  20. 37
  21. 29
  22. 45
  23. 60
  24. 96
  25. 10
  26. 24
  27. 61
  28. 55
  29. 30
  30. 55
  31. 50
  32. 72
  33. 62
  34. 36
  35. 80
  36. 22
  37. 74
  38. 113
  39. 25
  40. 50

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