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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 254 · 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 73, 73, 72 and 42? (a) 66 (b) 64 (c) 65 (d) 67
  2. 2.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 19 (c) 43 (d) 28
  3. 3.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 55 (b) 99 (c) 50 (d) 6
  4. 4.What is the average of 46, 63, 54, 50 and 32? (a) 50 (b) 48 (c) 51 (d) 49
  5. 5.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 74 (c) 15 (d) 65
  6. 6.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 34 (c) 17 (d) 38
  7. 7.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 9 (b) 23 (c) 11 (d) 8
  8. 8.What is the average of all the whole numbers from 39 to 59? (a) 20 (b) 50 (c) 49 (d) 10
  9. 9.What is the average of all the whole numbers from 8 to 30? (a) 11 (b) 19 (c) 20 (d) 22
  10. 10.What is the average of 39, 34, 45, 51 and 76? (a) 49 (b) 50 (c) 51 (d) 48
  11. 11.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 60 (b) 50 (c) 104 (d) 56
  12. 12.What is the average of 90, 89, 65, 76 and 80? (a) 81 (b) 79 (c) 100 (d) 80
  13. 13.What is the average of all the whole numbers from 48 to 60? (a) 54 (b) 55 (c) 12 (d) 6
  14. 14.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 57 (b) 48 (c) 89 (d) 49
  15. 15.What is the average of all the whole numbers from 49 to 89? (a) 70 (b) 40 (c) 20 (d) 69
  16. 16.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 48 (c) 5 (d) 52
  17. 17.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 61 (c) 8 (d) 38
  18. 18.What is the average of 55, 71, 58 and 84? (a) 66 (b) 69 (c) 68 (d) 67
  19. 19.What is the average of all the whole numbers from 43 to 55? (a) 6 (b) 50 (c) 49 (d) 12
  20. 20.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 29 (c) 30 (d) 53
  21. 21.What is the average of 27, 16, 8, 20, 18 and 31? (a) 24 (b) 20 (c) 21 (d) 19
  22. 22.What is the average of all the whole numbers from 50 to 78? (a) 65 (b) 14 (c) 64 (d) 28
  23. 23.What is the average of all the whole numbers from 5 to 25? (a) 16 (b) 10 (c) 20 (d) 15
  24. 24.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 66 (b) 24 (c) 46 (d) 88
  25. 25.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 52? (a) 50 (b) 52 (c) 97 (d) 57
  26. 26.What is the average of 13, 36, 23, 20 and 13? (a) 23 (b) 21 (c) 20 (d) 22
  27. 27.What is the average of all the whole numbers from 52 to 60? (a) 56 (b) 57 (c) 4 (d) 8
  28. 28.What is the average of 43, 43, 62 and 56? (a) 68 (b) 51 (c) 50 (d) 52
  29. 29.What is the average of all the whole numbers from 60 to 68? (a) 4 (b) 65 (c) 8 (d) 64
  30. 30.What is the average of 54, 50, 41 and 15? (a) 40 (b) 41 (c) 39 (d) 42
  31. 31.What is the average of 31, 30, 50, 31 and 48? (a) 37 (b) 38 (c) 39 (d) 40
  32. 32.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 37 (c) 20 (d) 35
  33. 33.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 17 (b) 22 (c) 18 (d) 45
  34. 34.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 52 (c) 88 (d) 48
  35. 35.What is the average of all the whole numbers from 18 to 46? (a) 32 (b) 28 (c) 33 (d) 14
  36. 36.What is the average of 79, 89, 70 and 78? (a) 79 (b) 81 (c) 78 (d) 80
  37. 37.What is the average of all the whole numbers from 10 to 42? (a) 16 (b) 26 (c) 27 (d) 32
  38. 38.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 14 (c) 9 (d) 8
  39. 39.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 56 (c) 112 (d) 72
  40. 40.What is the average of 72, 46, 70, 66, 65 and 41? (a) 60 (b) 61 (c) 59 (d) 72

Answer key

  1. 65
  2. 43
  3. 55
  4. 49
  5. 74
  6. 38
  7. 8
  8. 49
  9. 19
  10. 49
  11. 104
  12. 80
  13. 54
  14. 89
  15. 69
  16. 52
  17. 38
  18. 67
  19. 49
  20. 53
  21. 20
  22. 64
  23. 15
  24. 66
  25. 97
  26. 21
  27. 56
  28. 51
  29. 64
  30. 40
  31. 38
  32. 35
  33. 17
  34. 88
  35. 32
  36. 79
  37. 26
  38. 8
  39. 112
  40. 60

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