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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 320 · 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 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 72 (c) 64 (d) 16
  2. 2.What is the average of 60, 54, 71 and 43? (a) 56 (b) 76 (c) 57 (d) 58
  3. 3.What is the average of all the whole numbers from 23 to 57? (a) 17 (b) 34 (c) 40 (d) 41
  4. 4.What is the average of 57, 78, 73 and 72? (a) 69 (b) 70 (c) 71 (d) 72
  5. 5.What is the average of 83, 72, 53, 75, 56 and 69? (a) 67 (b) 68 (c) 69 (d) 70
  6. 6.What is the average of 53, 45, 56, 37 and 34? (a) 46 (b) 44 (c) 47 (d) 45
  7. 7.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 24? (a) 20 (b) 28 (c) 40 (d) 24
  8. 8.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 24 (b) 48 (c) 60 (d) 42
  9. 9.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 36 (d) 20
  10. 10.What is the average of 25, 21, 27, 44, 38 and 25? (a) 29 (b) 30 (c) 36 (d) 31
  11. 11.What is the average of 57, 71, 75 and 57? (a) 65 (b) 66 (c) 67 (d) 64
  12. 12.What is the average of 47, 43, 56, 65, 70 and 55? (a) 58 (b) 55 (c) 56 (d) 57
  13. 13.What is the average of 31, 39, 48 and 66? (a) 47 (b) 45 (c) 48 (d) 46
  14. 14.What is the average of 29, 30, 36, 52, 52 and 41? (a) 48 (b) 40 (c) 39 (d) 41
  15. 15.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) 13 (c) 12 (d) 22
  16. 16.What is the average of all the whole numbers from 6 to 14? (a) 8 (b) 11 (c) 10 (d) 4
  17. 17.What is the average of 48, 60, 56, 46 and 15? (a) 44 (b) 47 (c) 46 (d) 45
  18. 18.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 60 (c) 19 (d) 20
  19. 19.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 39 (b) 38 (c) 87 (d) 43
  20. 20.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 90 (c) 56 (d) 12
  21. 21.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 29? (a) 45 (b) 34 (c) 29 (d) 69
  22. 22.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 27? (a) 35 (b) 27 (c) 34 (d) 55
  23. 23.What is the average of 78, 90, 76 and 60? (a) 77 (b) 76 (c) 78 (d) 75
  24. 24.What is the average of all the whole numbers from 26 to 36? (a) 32 (b) 10 (c) 5 (d) 31
  25. 25.What is the average of 47, 28, 35 and 30? (a) 36 (b) 34 (c) 37 (d) 35
  26. 26.What is the average of all the whole numbers from 14 to 52? (a) 38 (b) 19 (c) 33 (d) 34
  27. 27.What is the average of 72, 72, 64, 76, 47 and 41? (a) 61 (b) 64 (c) 62 (d) 63
  28. 28.What is the average of 70, 72, 68, 69, 54 and 9? (a) 57 (b) 59 (c) 58 (d) 56
  29. 29.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 37? (a) 45 (b) 32 (c) 61 (d) 37
  30. 30.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 18 (c) 61 (d) 47
  31. 31.What is the average of 39, 48, 39 and 54? (a) 45 (b) 60 (c) 46 (d) 44
  32. 32.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 30 (b) 42 (c) 22 (d) 10
  33. 33.What is the average of 32, 24, 22 and 18? (a) 23 (b) 25 (c) 32 (d) 24
  34. 34.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 59 (c) 57 (d) 10
  35. 35.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 47 (b) 19 (c) 32 (d) 34
  36. 36.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 62 (c) 68 (d) 54
  37. 37.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 34 (b) 82 (c) 60 (d) 28
  38. 38.What is the average of all the whole numbers from 28 to 42? (a) 14 (b) 7 (c) 36 (d) 35
  39. 39.What is the average of all the whole numbers from 18 to 24? (a) 3 (b) 6 (c) 21 (d) 22
  40. 40.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 52 (c) 20 (d) 64

Answer key

  1. 72
  2. 57
  3. 40
  4. 70
  5. 68
  6. 45
  7. 40
  8. 60
  9. 36
  10. 30
  11. 65
  12. 56
  13. 46
  14. 40
  15. 12
  16. 10
  17. 45
  18. 19
  19. 38
  20. 56
  21. 69
  22. 55
  23. 76
  24. 31
  25. 35
  26. 33
  27. 62
  28. 57
  29. 61
  30. 61
  31. 45
  32. 30
  33. 24
  34. 65
  35. 47
  36. 110
  37. 82
  38. 35
  39. 21
  40. 64

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