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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 373 · 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 43, 58, 54 and 53? (a) 53 (b) 54 (c) 52 (d) 51
  2. 2.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 5 (b) 40 (c) 19 (d) 6
  3. 3.What is the average of 53, 59, 55 and 13? (a) 60 (b) 46 (c) 45 (d) 44
  4. 4.What is the average of 32, 21, 22, 39 and 46? (a) 40 (b) 32 (c) 31 (d) 33
  5. 5.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 28 (c) 82 (d) 27
  6. 6.What is the average of 39, 44, 33, 36, 34 and 30? (a) 38 (b) 37 (c) 35 (d) 36
  7. 7.What is the average of 44, 57, 58, 53, 55 and 3? (a) 54 (b) 45 (c) 46 (d) 44
  8. 8.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 35 (b) 49 (c) 34 (d) 101
  9. 9.What is the average of 37, 19, 41 and 27? (a) 31 (b) 33 (c) 30 (d) 32
  10. 10.What is the average of 47, 53, 49 and 55? (a) 50 (b) 52 (c) 51 (d) 68
  11. 11.What is the average of 35, 15, 23, 29 and 3? (a) 21 (b) 20 (c) 23 (d) 22
  12. 12.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 49? (a) 54 (b) 25 (c) 49 (d) 69
  13. 13.What is the average of all the whole numbers from 5 to 25? (a) 20 (b) 10 (c) 15 (d) 16
  14. 14.What is the average of 9, 37, 12, 22, 28 and 30? (a) 23 (b) 24 (c) 22 (d) 25
  15. 15.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 25 (c) 10 (d) 33
  16. 16.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 20 (b) 69 (c) 54 (d) 59
  17. 17.What is the average of 36, 25, 31, 31, 40 and 47? (a) 42 (b) 35 (c) 36 (d) 34
  18. 18.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 4 (b) 71 (c) 3 (d) 33
  19. 19.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 26 (c) 77 (d) 25
  20. 20.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 17 (b) 16 (c) 30 (d) 62
  21. 21.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 36 (b) 45 (c) 69 (d) 39
  22. 22.What is the average of 50, 70, 75, 64 and 46? (a) 60 (b) 62 (c) 61 (d) 63
  23. 23.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 38 (c) 74 (d) 40
  24. 24.What is the average of all the whole numbers from 32 to 66? (a) 34 (b) 17 (c) 50 (d) 49
  25. 25.What is the average of all the whole numbers from 13 to 51? (a) 38 (b) 32 (c) 33 (d) 19
  26. 26.What is the average of 50, 34, 43 and 37? (a) 40 (b) 41 (c) 42 (d) 43
  27. 27.What is the average of 62, 62, 52, 72, 58 and 90? (a) 67 (b) 65 (c) 66 (d) 68
  28. 28.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 114 (b) 58 (c) 66 (d) 64
  29. 29.What is the average of 32, 40, 46 and 14? (a) 33 (b) 32 (c) 34 (d) 44
  30. 30.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 64 (b) 24 (c) 46 (d) 43
  31. 31.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 36 (c) 73 (d) 32
  32. 32.What is the average of 17, 31, 36 and 40? (a) 30 (b) 33 (c) 32 (d) 31
  33. 33.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 28? (a) 36 (b) 28 (c) 40 (d) 60
  34. 34.What is the average of 20, 44, 22, 45 and 44? (a) 34 (b) 37 (c) 36 (d) 35
  35. 35.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 67 (b) 53 (c) 55 (d) 16
  36. 36.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 33 (c) 7 (d) 53
  37. 37.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 31 (b) 74 (c) 30 (d) 36
  38. 38.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 64? (a) 64 (b) 49 (c) 106 (d) 71
  39. 39.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 25 (c) 29 (d) 12
  40. 40.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 54 (c) 18 (d) 40

Answer key

  1. 52
  2. 5
  3. 45
  4. 32
  5. 27
  6. 36
  7. 45
  8. 34
  9. 31
  10. 51
  11. 21
  12. 69
  13. 15
  14. 23
  15. 33
  16. 69
  17. 35
  18. 3
  19. 25
  20. 16
  21. 69
  22. 61
  23. 74
  24. 49
  25. 32
  26. 41
  27. 66
  28. 114
  29. 33
  30. 64
  31. 32
  32. 31
  33. 60
  34. 35
  35. 67
  36. 33
  37. 30
  38. 106
  39. 25
  40. 54

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