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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 339 · 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.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 29 (b) 28 (c) 44 (d) 92
  2. 2.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 60 (c) 30 (d) 85
  3. 3.What is the average of all the whole numbers from 43 to 69? (a) 26 (b) 57 (c) 56 (d) 13
  4. 4.What is the average of all the whole numbers from 30 to 50? (a) 10 (b) 41 (c) 20 (d) 40
  5. 5.What is the average of 38, 11, 26 and 17? (a) 25 (b) 22 (c) 24 (d) 23
  6. 6.What is the average of all the whole numbers from 6 to 12? (a) 10 (b) 3 (c) 9 (d) 6
  7. 7.What is the average of all the whole numbers from 19 to 41? (a) 31 (b) 11 (c) 30 (d) 22
  8. 8.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 31 (c) 23 (d) 24
  9. 9.What is the average of 79, 65, 77, 85 and 84? (a) 80 (b) 78 (c) 77 (d) 79
  10. 10.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 19 (c) 12 (d) 18
  11. 11.What is the average of all the whole numbers from 8 to 32? (a) 24 (b) 12 (c) 21 (d) 20
  12. 12.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) 38 (b) 11 (c) 10 (d) 18
  13. 13.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 75 (c) 32 (d) 47
  14. 14.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 35 (b) 24 (c) 34 (d) 14
  15. 15.What is the average of 51, 51, 42, 61, 50 and 51? (a) 52 (b) 53 (c) 50 (d) 51
  16. 16.What is the average of all the whole numbers from 5 to 35? (a) 20 (b) 21 (c) 15 (d) 30
  17. 17.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 77 (b) 7 (c) 36 (d) 6
  18. 18.What is the average of all the whole numbers from 33 to 53? (a) 43 (b) 20 (c) 10 (d) 44
  19. 19.What is the average of 59, 76, 82, 66 and 87? (a) 75 (b) 73 (c) 76 (d) 74
  20. 20.What is the average of 40, 53, 57, 59 and 26? (a) 46 (b) 49 (c) 47 (d) 48
  21. 21.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 26 (c) 12 (d) 25
  22. 22.What is the average of 17, 35, 15, 22, 29 and 20? (a) 23 (b) 24 (c) 25 (d) 22
  23. 23.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 32 (c) 90 (d) 74
  24. 24.What is the average of 30, 27, 12, 8 and 33? (a) 21 (b) 22 (c) 24 (d) 23
  25. 25.What is the average of 35, 29, 41 and 63? (a) 43 (b) 41 (c) 56 (d) 42
  26. 26.What is the average of all the whole numbers from 56 to 90? (a) 73 (b) 17 (c) 34 (d) 74
  27. 27.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 66 (b) 35 (c) 24 (d) 55
  28. 28.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 46 (c) 10 (d) 9
  29. 29.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 16 (c) 42 (d) 56
  30. 30.What is the average of 17, 39, 25, 19, 32 and 30? (a) 26 (b) 28 (c) 29 (d) 27
  31. 31.What is the average of 24, 25, 44 and 51? (a) 35 (b) 37 (c) 48 (d) 36
  32. 32.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 40 (b) 61 (c) 29 (d) 25
  33. 33.What is the average of all the whole numbers from 39 to 79? (a) 40 (b) 20 (c) 59 (d) 60
  34. 34.What is the average of all the whole numbers from 14 to 32? (a) 23 (b) 9 (c) 24 (d) 18
  35. 35.What is the average of all the whole numbers from 12 to 32? (a) 10 (b) 22 (c) 23 (d) 20
  36. 36.What is the average of 52, 51, 69, 55, 58 and 81? (a) 61 (b) 62 (c) 63 (d) 60
  37. 37.What is the average of all the whole numbers from 6 to 14? (a) 8 (b) 11 (c) 10 (d) 4
  38. 38.What is the average of 30, 26, 32, 37, 31 and 42? (a) 35 (b) 32 (c) 34 (d) 33
  39. 39.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 10 (b) 63 (c) 57 (d) 55
  40. 40.What is the average of 47, 39, 47 and 83? (a) 55 (b) 72 (c) 53 (d) 54

Answer key

  1. 28
  2. 85
  3. 56
  4. 40
  5. 23
  6. 9
  7. 30
  8. 23
  9. 78
  10. 18
  11. 20
  12. 10
  13. 75
  14. 34
  15. 51
  16. 20
  17. 6
  18. 43
  19. 74
  20. 47
  21. 25
  22. 23
  23. 90
  24. 22
  25. 42
  26. 73
  27. 55
  28. 9
  29. 56
  30. 27
  31. 36
  32. 61
  33. 59
  34. 23
  35. 22
  36. 61
  37. 10
  38. 33
  39. 63
  40. 54

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