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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 119 · 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 53 to 63? (a) 58 (b) 59 (c) 10 (d) 5
  2. 2.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 38 (c) 16 (d) 33
  3. 3.What is the average of 69, 52, 55, 59 and 45? (a) 56 (b) 55 (c) 70 (d) 57
  4. 4.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 28 (b) 40 (c) 84 (d) 29
  5. 5.What is the average of 32, 36, 26 and 54? (a) 39 (b) 38 (c) 37 (d) 36
  6. 6.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) 28 (b) 60 (c) 34 (d) 82
  7. 7.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 35 (b) 80 (c) 52 (d) 59
  8. 8.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 132 (b) 60 (c) 80 (d) 68
  9. 9.What is the average of 46, 30, 25, 23, 23 and 69? (a) 35 (b) 36 (c) 38 (d) 37
  10. 10.What is the average of 68, 59, 54, 77, 67 and 89? (a) 70 (b) 68 (c) 71 (d) 69
  11. 11.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 25 (b) 67 (c) 56 (d) 36
  12. 12.What is the average of all the whole numbers from 42 to 48? (a) 3 (b) 46 (c) 6 (d) 45
  13. 13.What is the average of 39, 47, 32 and 18? (a) 33 (b) 36 (c) 34 (d) 35
  14. 14.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 35 (b) 96 (c) 36 (d) 47
  15. 15.What is the average of 9, 14, 27, 35 and 25? (a) 23 (b) 21 (c) 22 (d) 24
  16. 16.What is the average of 31, 33, 24, 27, 25 and 16? (a) 25 (b) 28 (c) 26 (d) 27
  17. 17.What is the average of all the whole numbers from 58 to 82? (a) 24 (b) 71 (c) 70 (d) 12
  18. 18.What is the average of 67, 66, 83, 74, 78 and 52? (a) 84 (b) 70 (c) 71 (d) 69
  19. 19.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 41 (b) 26 (c) 29 (d) 18
  20. 20.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 18 (c) 33 (d) 45
  21. 21.What is the average of all the whole numbers from 8 to 24? (a) 16 (b) 15 (c) 17 (d) 8
  22. 22.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 50 (c) 20 (d) 34
  23. 23.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 35 (b) 10 (c) 40 (d) 15
  24. 24.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 29 (b) 36 (c) 73 (d) 30
  25. 25.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 10 (b) 44 (c) 86 (d) 52
  26. 26.What is the average of all the whole numbers from 27 to 55? (a) 28 (b) 14 (c) 41 (d) 42
  27. 27.What is the average of all the whole numbers from 40 to 48? (a) 45 (b) 4 (c) 8 (d) 44
  28. 28.What is the average of all the whole numbers from 33 to 49? (a) 41 (b) 8 (c) 42 (d) 16
  29. 29.What is the average of all the whole numbers from 31 to 63? (a) 47 (b) 48 (c) 32 (d) 16
  30. 30.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 7 (b) 28 (c) 8 (d) 13
  31. 31.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 48? (a) 48 (b) 90 (c) 54 (d) 91
  32. 32.What is the average of all the whole numbers from 23 to 57? (a) 17 (b) 34 (c) 41 (d) 40
  33. 33.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 44 (c) 14 (d) 34
  34. 34.What is the average of 32, 52, 35, 39 and 42? (a) 41 (b) 50 (c) 40 (d) 39
  35. 35.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 15 (c) 28 (d) 14
  36. 36.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 40? (a) 58 (b) 46 (c) 40 (d) 24
  37. 37.What is the average of 59, 73, 80, 80, 87 and 53? (a) 71 (b) 74 (c) 73 (d) 72
  38. 38.What is the average of all the whole numbers from 44 to 62? (a) 9 (b) 53 (c) 54 (d) 18
  39. 39.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 8 (b) 21 (c) 7 (d) 10
  40. 40.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 8 (c) 35 (d) 33

Answer key

  1. 58
  2. 33
  3. 56
  4. 28
  5. 37
  6. 82
  7. 80
  8. 132
  9. 36
  10. 69
  11. 56
  12. 45
  13. 34
  14. 35
  15. 22
  16. 26
  17. 70
  18. 70
  19. 41
  20. 45
  21. 16
  22. 50
  23. 40
  24. 29
  25. 52
  26. 41
  27. 44
  28. 41
  29. 47
  30. 7
  31. 90
  32. 40
  33. 44
  34. 40
  35. 14
  36. 58
  37. 72
  38. 53
  39. 7
  40. 39

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