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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 300 · 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 36 to 42? (a) 6 (b) 3 (c) 39 (d) 40
  2. 2.What is the average of 22, 15, 25, 29 and 9? (a) 21 (b) 19 (c) 25 (d) 20
  3. 3.What is the average of 79, 60, 69, 83, 60 and 63? (a) 68 (b) 71 (c) 69 (d) 70
  4. 4.What is the average of all the whole numbers from 46 to 68? (a) 22 (b) 58 (c) 57 (d) 11
  5. 5.What is the average of 73, 81, 66, 65, 79 and 32? (a) 65 (b) 68 (c) 67 (d) 66
  6. 6.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 68 (c) 44 (d) 30
  7. 7.What is the average of all the whole numbers from 52 to 58? (a) 56 (b) 3 (c) 55 (d) 6
  8. 8.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 33 (b) 30 (c) 58 (d) 61
  9. 9.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 79 (b) 28 (c) 58 (d) 65
  10. 10.What is the average of 56, 57, 45 and 66? (a) 56 (b) 55 (c) 57 (d) 58
  11. 11.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 1 (b) 24 (c) 2 (d) 11
  12. 12.What is the average of all the whole numbers from 21 to 39? (a) 31 (b) 9 (c) 30 (d) 18
  13. 13.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 25 (c) 27 (d) 14
  14. 14.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 7 (b) 19 (c) 41 (d) 8
  15. 15.What is the average of all the whole numbers from 35 to 75? (a) 56 (b) 20 (c) 40 (d) 55
  16. 16.What is the average of all the whole numbers from 43 to 71? (a) 14 (b) 57 (c) 28 (d) 58
  17. 17.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 46 (c) 16 (d) 38
  18. 18.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 67 (b) 61 (c) 85 (d) 30
  19. 19.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 49 (b) 30 (c) 67 (d) 43
  20. 20.What is the average of 44, 37, 41, 45, 35 and 74? (a) 47 (b) 46 (c) 48 (d) 45
  21. 21.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 16 (c) 66 (d) 54
  22. 22.What is the average of 77, 56, 67, 64, 69 and 75? (a) 68 (b) 70 (c) 67 (d) 69
  23. 23.What is the average of 21, 26, 22, 50, 25 and 66? (a) 36 (b) 42 (c) 34 (d) 35
  24. 24.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 48 (b) 101 (c) 47 (d) 50
  25. 25.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 10 (b) 62 (c) 54 (d) 56
  26. 26.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 30 (b) 24 (c) 22 (d) 10
  27. 27.What is the average of 40, 19, 15 and 30? (a) 26 (b) 28 (c) 27 (d) 25
  28. 28.What is the average of 87, 85, 81 and 59? (a) 104 (b) 79 (c) 78 (d) 77
  29. 29.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 99 (c) 64 (d) 43
  30. 30.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 73 (b) 38 (c) 43 (d) 40
  31. 31.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 54 (b) 20 (c) 36 (d) 38
  32. 32.What is the average of 60, 52, 43 and 49? (a) 50 (b) 52 (c) 68 (d) 51
  33. 33.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 14 (b) 45 (c) 33 (d) 35
  34. 34.What is the average of 27, 35, 19, 7 and 12? (a) 21 (b) 19 (c) 20 (d) 25
  35. 35.What is the average of all the whole numbers from 5 to 17? (a) 6 (b) 12 (c) 10 (d) 11
  36. 36.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 79 (b) 48 (c) 43 (d) 37
  37. 37.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 58 (b) 83 (c) 53 (d) 35
  38. 38.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 38 (c) 8 (d) 44
  39. 39.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 40 (b) 78 (c) 14 (d) 52
  40. 40.What is the average of all the whole numbers from 14 to 26? (a) 12 (b) 20 (c) 21 (d) 6

Answer key

  1. 39
  2. 20
  3. 69
  4. 57
  5. 66
  6. 68
  7. 55
  8. 58
  9. 79
  10. 56
  11. 1
  12. 30
  13. 26
  14. 7
  15. 55
  16. 57
  17. 38
  18. 85
  19. 67
  20. 46
  21. 66
  22. 68
  23. 35
  24. 47
  25. 62
  26. 30
  27. 26
  28. 78
  29. 99
  30. 73
  31. 54
  32. 51
  33. 45
  34. 20
  35. 11
  36. 79
  37. 83
  38. 44
  39. 52
  40. 20

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