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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 750 · 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 4 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 84 (c) 8 (d) 49
  2. 2.What is the average of 26, 27, 31, 36 and 80? (a) 41 (b) 50 (c) 40 (d) 39
  3. 3.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 40 (c) 38 (d) 37
  4. 4.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 53 (c) 37 (d) 20
  5. 5.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 44 (b) 73 (c) 8 (d) 37
  6. 6.What is the average of all the whole numbers from 7 to 47? (a) 20 (b) 40 (c) 27 (d) 28
  7. 7.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 35 (b) 41 (c) 36 (d) 83
  8. 8.What is the average of all the whole numbers from 6 to 42? (a) 24 (b) 18 (c) 36 (d) 25
  9. 9.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 5 (c) 33 (d) 17
  10. 10.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 72 (c) 130 (d) 66
  11. 11.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 62 (b) 20 (c) 46 (d) 88
  12. 12.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 54 (b) 98 (c) 56 (d) 50
  13. 13.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 40 (c) 27 (d) 51
  14. 14.What is the average of 65, 56, 58, 83 and 83? (a) 68 (b) 70 (c) 69 (d) 71
  15. 15.What is the average of 18, 12, 32, 7 and 31? (a) 21 (b) 25 (c) 19 (d) 20
  16. 16.What is the average of 52, 49, 53 and 54? (a) 54 (b) 51 (c) 53 (d) 52
  17. 17.What is the average of all the whole numbers from 6 to 24? (a) 9 (b) 15 (c) 16 (d) 18
  18. 18.What is the average of 36, 21, 30 and 1? (a) 24 (b) 23 (c) 22 (d) 21
  19. 19.What is the average of 26, 23, 16, 37 and 53? (a) 32 (b) 33 (c) 31 (d) 30
  20. 20.What is the average of all the whole numbers from 40 to 72? (a) 57 (b) 16 (c) 56 (d) 32
  21. 21.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 51 (c) 49 (d) 20
  22. 22.What is the average of all the whole numbers from 17 to 23? (a) 21 (b) 3 (c) 20 (d) 6
  23. 23.What is the average of all the whole numbers from 19 to 35? (a) 28 (b) 27 (c) 8 (d) 16
  24. 24.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 20 (c) 47 (d) 63
  25. 25.What is the average of all the whole numbers from 10 to 20? (a) 5 (b) 10 (c) 15 (d) 16
  26. 26.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 35 (b) 97 (c) 47 (d) 36
  27. 27.What is the average of 11, 23, 23, 12, 12 and 45? (a) 22 (b) 21 (c) 20 (d) 23
  28. 28.What is the average of all the whole numbers from 10 to 40? (a) 15 (b) 30 (c) 25 (d) 26
  29. 29.What is the average of 43, 49, 52, 40 and 56? (a) 47 (b) 60 (c) 48 (d) 49
  30. 30.What is the average of all the whole numbers from 8 to 22? (a) 16 (b) 15 (c) 14 (d) 7
  31. 31.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 23 (b) 10 (c) 28 (d) 15
  32. 32.What is the average of all the whole numbers from 60 to 80? (a) 10 (b) 70 (c) 71 (d) 20
  33. 33.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 62 (c) 32 (d) 78
  34. 34.What is the average of 36, 26, 9 and 17? (a) 21 (b) 23 (c) 22 (d) 24
  35. 35.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 14 (c) 53 (d) 80
  36. 36.What is the average of all the whole numbers from 58 to 86? (a) 72 (b) 14 (c) 28 (d) 73
  37. 37.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) 29 (b) 84 (c) 28 (d) 40
  38. 38.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 32 (c) 5 (d) 28
  39. 39.What is the average of 32, 19, 16, 19, 30 and 40? (a) 25 (b) 27 (c) 28 (d) 26
  40. 40.What is the average of 79, 86, 82, 85 and 23? (a) 70 (b) 73 (c) 71 (d) 72

Answer key

  1. 49
  2. 40
  3. 37
  4. 53
  5. 44
  6. 27
  7. 35
  8. 24
  9. 21
  10. 130
  11. 62
  12. 98
  13. 51
  14. 69
  15. 20
  16. 52
  17. 15
  18. 22
  19. 31
  20. 56
  21. 67
  22. 20
  23. 27
  24. 63
  25. 15
  26. 35
  27. 21
  28. 25
  29. 48
  30. 15
  31. 23
  32. 70
  33. 78
  34. 22
  35. 53
  36. 72
  37. 28
  38. 32
  39. 26
  40. 71

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