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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 521 · 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 66, 56, 62, 53, 78 and 87? (a) 67 (b) 66 (c) 69 (d) 68
  2. 2.What is the average of 19, 33, 33, 41 and 39? (a) 35 (b) 32 (c) 33 (d) 34
  3. 3.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 32? (a) 30 (b) 57 (c) 32 (d) 37
  4. 4.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 12 (c) 26 (d) 24
  5. 5.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 19 (c) 25 (d) 39
  6. 6.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 16 (b) 18 (c) 23 (d) 11
  7. 7.What is the average of all the whole numbers from 17 to 55? (a) 19 (b) 37 (c) 38 (d) 36
  8. 8.What is the average of all the whole numbers from 38 to 68? (a) 30 (b) 53 (c) 54 (d) 15
  9. 9.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 87 (c) 45 (d) 51
  10. 10.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 109 (b) 70 (c) 53 (d) 46
  11. 11.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 28 (b) 22 (c) 8 (d) 42
  12. 12.What is the average of 72, 46, 53 and 73? (a) 63 (b) 61 (c) 60 (d) 62
  13. 13.What is the average of 31, 23, 45, 41, 44 and 26? (a) 35 (b) 36 (c) 34 (d) 42
  14. 14.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
  15. 15.What is the average of all the whole numbers from 40 to 46? (a) 6 (b) 44 (c) 3 (d) 43
  16. 16.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 41? (a) 56 (b) 41 (c) 20 (d) 46
  17. 17.What is the average of 52, 43, 34, 46 and 50? (a) 44 (b) 47 (c) 46 (d) 45
  18. 18.What is the average of 64, 47, 36 and 53? (a) 49 (b) 51 (c) 50 (d) 52
  19. 19.What is the average of all the whole numbers from 57 to 63? (a) 61 (b) 3 (c) 6 (d) 60
  20. 20.What is the average of all the whole numbers from 5 to 17? (a) 12 (b) 6 (c) 10 (d) 11
  21. 21.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 34 (c) 11 (d) 10
  22. 22.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 22 (b) 39 (c) 20 (d) 37
  23. 23.What is the average of all the whole numbers from 20 to 42? (a) 22 (b) 11 (c) 31 (d) 32
  24. 24.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 10 (d) 11
  25. 25.What is the average of all the whole numbers from 47 to 81? (a) 17 (b) 64 (c) 34 (d) 65
  26. 26.What is the average of 30, 12, 38 and 24? (a) 26 (b) 25 (c) 28 (d) 27
  27. 27.What is the average of 18, 7, 26, 6, 7 and 56? (a) 19 (b) 24 (c) 20 (d) 21
  28. 28.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 85 (c) 46 (d) 4
  29. 29.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 40 (b) 76 (c) 68 (d) 32
  30. 30.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 46 (c) 70 (d) 36
  31. 31.What is the average of 33, 29, 47, 48 and 28? (a) 39 (b) 37 (c) 36 (d) 38
  32. 32.What is the average of all the whole numbers from 47 to 57? (a) 5 (b) 53 (c) 10 (d) 52
  33. 33.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 70 (b) 39 (c) 102 (d) 46
  34. 34.What is the average of 45, 38, 42, 45 and 95? (a) 52 (b) 55 (c) 53 (d) 54
  35. 35.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 7 (c) 34 (d) 6
  36. 36.What is the average of 35, 18, 45, 19, 25 and 56? (a) 32 (b) 34 (c) 35 (d) 33
  37. 37.What is the average of 56, 65, 53, 57 and 54? (a) 56 (b) 57 (c) 59 (d) 58
  38. 38.What is the average of 49, 44, 38 and 5? (a) 34 (b) 35 (c) 33 (d) 36
  39. 39.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 69 (c) 78 (d) 32
  40. 40.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 43? (a) 50 (b) 43 (c) 64 (d) 28

Answer key

  1. 67
  2. 33
  3. 57
  4. 24
  5. 39
  6. 23
  7. 36
  8. 53
  9. 87
  10. 109
  11. 28
  12. 61
  13. 35
  14. 52
  15. 43
  16. 56
  17. 45
  18. 50
  19. 60
  20. 11
  21. 10
  22. 37
  23. 31
  24. 10
  25. 64
  26. 26
  27. 20
  28. 46
  29. 68
  30. 70
  31. 37
  32. 52
  33. 102
  34. 53
  35. 6
  36. 33
  37. 57
  38. 34
  39. 69
  40. 64

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