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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 478 · 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 10 to 26? (a) 16 (b) 19 (c) 18 (d) 8
  2. 2.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 61 (b) 41 (c) 77 (d) 25
  3. 3.What is the average of all the whole numbers from 37 to 57? (a) 48 (b) 10 (c) 47 (d) 20
  4. 4.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 48 (b) 13 (c) 40 (d) 21
  5. 5.What is the average of all the whole numbers from 56 to 90? (a) 74 (b) 73 (c) 17 (d) 34
  6. 6.What is the average of 64, 66, 70, 71 and 114? (a) 76 (b) 79 (c) 78 (d) 77
  7. 7.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 31 (c) 14 (d) 19
  8. 8.What is the average of 60, 55, 61 and 88? (a) 65 (b) 66 (c) 67 (d) 88
  9. 9.What is the average of all the whole numbers from 22 to 40? (a) 18 (b) 32 (c) 31 (d) 9
  10. 10.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 17 (b) 42 (c) 18 (d) 89
  11. 11.What is the average of all the whole numbers from 29 to 61? (a) 46 (b) 16 (c) 32 (d) 45
  12. 12.What is the average of 57, 42, 42, 59, 53 and 35? (a) 50 (b) 48 (c) 49 (d) 47
  13. 13.What is the average of 67, 81, 66, 83, 85 and 68? (a) 76 (b) 74 (c) 90 (d) 75
  14. 14.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 66 (c) 72 (d) 12
  15. 15.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 42 (b) 15 (c) 30 (d) 33
  16. 16.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 101 (b) 47 (c) 53 (d) 60
  17. 17.What is the average of 71, 54, 63, 76, 57 and 81? (a) 68 (b) 69 (c) 67 (d) 66
  18. 18.What is the average of all the whole numbers from 9 to 25? (a) 16 (b) 8 (c) 17 (d) 18
  19. 19.What is the average of 44, 70, 53, 43, 51 and 69? (a) 54 (b) 56 (c) 55 (d) 66
  20. 20.What is the average of 41, 56, 54, 42, 53 and 60? (a) 50 (b) 53 (c) 52 (d) 51
  21. 21.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 20 (c) 36 (d) 46
  22. 22.What is the average of 52, 55, 38, 36, 33 and 56? (a) 44 (b) 45 (c) 54 (d) 46
  23. 23.What is the average of all the whole numbers from 40 to 74? (a) 57 (b) 17 (c) 34 (d) 58
  24. 24.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 23 (b) 28 (c) 24 (d) 57
  25. 25.What is the average of 75, 49, 61, 52, 65 and 70? (a) 61 (b) 63 (c) 64 (d) 62
  26. 26.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 13 (b) 28 (c) 2 (d) 1
  27. 27.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 16 (c) 17 (d) 31
  28. 28.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 24 (c) 62 (d) 82
  29. 29.What is the average of 60, 58, 61, 34, 52 and 23? (a) 50 (b) 48 (c) 47 (d) 49
  30. 30.What is the average of 89, 84, 79 and 48? (a) 100 (b) 76 (c) 74 (d) 75
  31. 31.What is the average of all the whole numbers from 14 to 46? (a) 16 (b) 32 (c) 31 (d) 30
  32. 32.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 21 (b) 40 (c) 77 (d) 58
  33. 33.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 5 (b) 16 (c) 20 (d) 31
  34. 34.What is the average of all the whole numbers from 34 to 46? (a) 41 (b) 6 (c) 40 (d) 12
  35. 35.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 106 (b) 63 (c) 50 (d) 57
  36. 36.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 7 (b) 95 (c) 54 (d) 48
  37. 37.What is the average of 63, 68, 79 and 98? (a) 76 (b) 79 (c) 77 (d) 78
  38. 38.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 27 (c) 28 (d) 33
  39. 39.What is the average of 70, 77, 79, 72, 73 and 103? (a) 78 (b) 79 (c) 81 (d) 80
  40. 40.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 7 (b) 46 (c) 91 (d) 52

Answer key

  1. 18
  2. 61
  3. 47
  4. 48
  5. 73
  6. 77
  7. 31
  8. 66
  9. 31
  10. 17
  11. 45
  12. 48
  13. 75
  14. 72
  15. 42
  16. 101
  17. 67
  18. 17
  19. 55
  20. 51
  21. 46
  22. 45
  23. 57
  24. 23
  25. 62
  26. 1
  27. 31
  28. 82
  29. 48
  30. 75
  31. 30
  32. 58
  33. 20
  34. 40
  35. 106
  36. 54
  37. 77
  38. 27
  39. 79
  40. 52

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