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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 754 · 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 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 16 (c) 45 (d) 37
  2. 2.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 20 (b) 33 (c) 51 (d) 35
  3. 3.What is the average of 46, 36, 37, 63, 35 and 83? (a) 50 (b) 49 (c) 51 (d) 60
  4. 4.What is the average of 42, 62, 47 and 41? (a) 49 (b) 48 (c) 64 (d) 47
  5. 5.What is the average of all the whole numbers from 45 to 69? (a) 57 (b) 12 (c) 24 (d) 58
  6. 6.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 32 (c) 59 (d) 31
  7. 7.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 64 (c) 46 (d) 20
  8. 8.What is the average of all the whole numbers from 19 to 47? (a) 34 (b) 14 (c) 33 (d) 28
  9. 9.What is the average of 74, 51, 59, 65 and 46? (a) 60 (b) 61 (c) 59 (d) 58
  10. 10.What is the average of all the whole numbers from 43 to 51? (a) 4 (b) 48 (c) 47 (d) 8
  11. 11.What is the average of all the whole numbers from 49 to 63? (a) 57 (b) 7 (c) 56 (d) 14
  12. 12.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 25 (b) 46 (c) 41 (d) 61
  13. 13.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 16 (b) 61 (c) 92 (d) 47
  14. 14.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 99 (b) 56 (c) 51 (d) 59
  15. 15.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 56 (b) 52 (c) 16 (d) 64
  16. 16.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 59 (b) 25 (c) 29 (d) 26
  17. 17.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 4 (b) 41 (c) 19 (d) 5
  18. 18.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 8 (b) 67 (c) 41 (d) 34
  19. 19.What is the average of 39, 49, 45 and 67? (a) 52 (b) 51 (c) 49 (d) 50
  20. 20.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 66 (b) 32 (c) 19 (d) 18
  21. 21.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 15 (c) 46 (d) 37
  22. 22.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 69 (c) 39 (d) 42
  23. 23.What is the average of 27, 18, 27 and 52? (a) 30 (b) 32 (c) 31 (d) 33
  24. 24.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 27 (c) 16 (d) 31
  25. 25.What is the average of 72, 70, 65 and 73? (a) 71 (b) 70 (c) 69 (d) 72
  26. 26.What is the average of 74, 59, 69, 73 and 75? (a) 71 (b) 72 (c) 70 (d) 69
  27. 27.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 35 (c) 92 (d) 67
  28. 28.What is the average of 39, 24, 27, 31, 37 and 64? (a) 37 (b) 39 (c) 38 (d) 36
  29. 29.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 29 (b) 21 (c) 40 (d) 10
  30. 30.What is the average of all the whole numbers from 25 to 51? (a) 38 (b) 26 (c) 13 (d) 39
  31. 31.What is the average of 11, 16, 16 and 49? (a) 25 (b) 23 (c) 22 (d) 24
  32. 32.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 46 (b) 12 (c) 22 (d) 13
  33. 33.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 16 (c) 52 (d) 40
  34. 34.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 78 (b) 53 (c) 35 (d) 48
  35. 35.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 35 (c) 59 (d) 28
  36. 36.What is the average of all the whole numbers from 9 to 41? (a) 26 (b) 25 (c) 16 (d) 32
  37. 37.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 38 (c) 20 (d) 21
  38. 38.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 8 (c) 17 (d) 24
  39. 39.What is the average of 45, 40, 43 and 72? (a) 50 (b) 49 (c) 52 (d) 51
  40. 40.What is the average of 73, 57, 63, 58 and 94? (a) 69 (b) 71 (c) 68 (d) 70

Answer key

  1. 45
  2. 51
  3. 50
  4. 48
  5. 57
  6. 59
  7. 64
  8. 33
  9. 59
  10. 47
  11. 56
  12. 61
  13. 61
  14. 99
  15. 64
  16. 25
  17. 4
  18. 41
  19. 50
  20. 18
  21. 46
  22. 69
  23. 31
  24. 31
  25. 70
  26. 70
  27. 92
  28. 37
  29. 29
  30. 38
  31. 23
  32. 12
  33. 52
  34. 78
  35. 59
  36. 25
  37. 37
  38. 24
  39. 50
  40. 69

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