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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 166 · 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 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 34 (c) 95 (d) 35
  2. 2.What is the average of all the whole numbers from 51 to 63? (a) 6 (b) 12 (c) 58 (d) 57
  3. 3.What is the average of all the whole numbers from 27 to 33? (a) 6 (b) 3 (c) 30 (d) 31
  4. 4.What is the average of 43, 62, 69 and 46? (a) 56 (b) 57 (c) 54 (d) 55
  5. 5.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 69 (c) 15 (d) 16
  6. 6.What is the average of 53, 57, 64 and 74? (a) 64 (b) 62 (c) 61 (d) 63
  7. 7.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 4 (c) 51 (d) 48
  8. 8.What is the average of all the whole numbers from 49 to 55? (a) 6 (b) 52 (c) 3 (d) 53
  9. 9.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 27 (c) 10 (d) 35
  10. 10.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 76 (c) 50 (d) 31
  11. 11.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 45 (b) 55 (c) 90 (d) 50
  12. 12.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 62 (c) 55 (d) 111
  13. 13.What is the average of 46, 55, 51, 50 and 68? (a) 55 (b) 56 (c) 53 (d) 54
  14. 14.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 39 (c) 16 (d) 17
  15. 15.What is the average of all the whole numbers from 30 to 40? (a) 35 (b) 10 (c) 5 (d) 36
  16. 16.What is the average of all the whole numbers from 8 to 14? (a) 3 (b) 12 (c) 11 (d) 6
  17. 17.What is the average of 66, 60, 75 and 79? (a) 72 (b) 70 (c) 71 (d) 69
  18. 18.What is the average of all the whole numbers from 9 to 43? (a) 34 (b) 17 (c) 26 (d) 27
  19. 19.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 83 (b) 14 (c) 39 (d) 15
  20. 20.What is the average of 71, 67, 54, 57 and 41? (a) 59 (b) 57 (c) 58 (d) 60
  21. 21.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 7 (b) 6 (c) 48 (d) 22
  22. 22.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 43 (b) 37 (c) 73 (d) 7
  23. 23.What is the average of 48, 63, 55, 43 and 56? (a) 52 (b) 55 (c) 54 (d) 53
  24. 24.What is the average of 50, 40, 40, 54 and 36? (a) 45 (b) 55 (c) 44 (d) 43
  25. 25.What is the average of 69, 76, 89, 90, 83 and 67? (a) 81 (b) 79 (c) 80 (d) 78
  26. 26.What is the average of all the whole numbers from 14 to 38? (a) 26 (b) 24 (c) 27 (d) 12
  27. 27.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 24 (c) 49 (d) 31
  28. 28.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 122 (b) 74 (c) 64 (d) 66
  29. 29.What is the average of all the whole numbers from 49 to 65? (a) 8 (b) 16 (c) 57 (d) 58
  30. 30.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 18 (c) 55 (d) 17
  31. 31.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 36? (a) 39 (b) 36 (c) 15 (d) 48
  32. 32.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 43 (c) 101 (d) 44
  33. 33.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 58 (b) 48 (c) 50 (d) 90
  34. 34.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 38 (b) 48 (c) 26 (d) 16
  35. 35.What is the average of all the whole numbers from 12 to 48? (a) 36 (b) 30 (c) 31 (d) 18
  36. 36.What is the average of 48, 55, 51, 44, 42 and 12? (a) 41 (b) 43 (c) 44 (d) 42
  37. 37.What is the average of all the whole numbers from 58 to 92? (a) 75 (b) 17 (c) 76 (d) 34
  38. 38.What is the average of all the whole numbers from 10 to 20? (a) 16 (b) 15 (c) 10 (d) 5
  39. 39.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 66 (c) 54 (d) 51
  40. 40.What is the average of 31, 51, 29 and 53? (a) 42 (b) 43 (c) 40 (d) 41

Answer key

  1. 34
  2. 57
  3. 30
  4. 55
  5. 15
  6. 62
  7. 51
  8. 52
  9. 35
  10. 76
  11. 90
  12. 111
  13. 54
  14. 16
  15. 35
  16. 11
  17. 70
  18. 26
  19. 14
  20. 58
  21. 6
  22. 43
  23. 53
  24. 44
  25. 79
  26. 26
  27. 49
  28. 122
  29. 57
  30. 17
  31. 48
  32. 43
  33. 90
  34. 38
  35. 30
  36. 42
  37. 75
  38. 15
  39. 66
  40. 41

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