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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 743 · 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 30 to 46? (a) 8 (b) 38 (c) 16 (d) 39
  2. 2.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 60 (b) 35 (c) 30 (d) 61
  3. 3.What is the average of 66, 76, 72 and 82? (a) 76 (b) 74 (c) 73 (d) 75
  4. 4.What is the average of all the whole numbers from 50 to 62? (a) 12 (b) 57 (c) 6 (d) 56
  5. 5.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 38 (c) 78 (d) 50
  6. 6.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 46 (b) 6 (c) 91 (d) 51
  7. 7.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 70 (c) 50 (d) 28
  8. 8.What is the average of 76, 66, 75 and 39? (a) 65 (b) 63 (c) 66 (d) 64
  9. 9.What is the average of 87, 61, 60 and 88? (a) 73 (b) 74 (c) 75 (d) 76
  10. 10.What is the average of all the whole numbers from 15 to 39? (a) 24 (b) 28 (c) 12 (d) 27
  11. 11.What is the average of all the whole numbers from 44 to 80? (a) 18 (b) 63 (c) 36 (d) 62
  12. 12.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 46 (c) 44 (d) 8
  13. 13.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 77 (c) 22 (d) 23
  14. 14.What is the average of 39, 15, 30, 34 and 32? (a) 32 (b) 30 (c) 31 (d) 29
  15. 15.What is the average of 58, 63, 61, 59, 58 and 109? (a) 69 (b) 68 (c) 70 (d) 67
  16. 16.What is the average of all the whole numbers from 19 to 25? (a) 3 (b) 23 (c) 6 (d) 22
  17. 17.What is the average of 61, 49, 36, 54, 50 and 56? (a) 52 (b) 50 (c) 51 (d) 53
  18. 18.What is the average of all the whole numbers from 58 to 92? (a) 76 (b) 75 (c) 17 (d) 34
  19. 19.What is the average of 58, 53, 41, 35, 60 and 23? (a) 54 (b) 44 (c) 46 (d) 45
  20. 20.What is the average of all the whole numbers from 18 to 48? (a) 30 (b) 15 (c) 34 (d) 33
  21. 21.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 70 (c) 62 (d) 118
  22. 22.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 18 (c) 5 (d) 17
  23. 23.What is the average of 44, 37, 53, 49, 40 and 29? (a) 41 (b) 44 (c) 43 (d) 42
  24. 24.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 68 (b) 22 (c) 33 (d) 21
  25. 25.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 69 (c) 35 (d) 67
  26. 26.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 102 (c) 48 (d) 66
  27. 27.What is the average of all the whole numbers from 6 to 12? (a) 9 (b) 3 (c) 10 (d) 6
  28. 28.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 55 (b) 24 (c) 37 (d) 43
  29. 29.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 32 (d) 12
  30. 30.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 88 (b) 18 (c) 19 (d) 42
  31. 31.What is the average of all the whole numbers from 12 to 52? (a) 40 (b) 32 (c) 20 (d) 33
  32. 32.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 22 (c) 6 (d) 33
  33. 33.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 8 (b) 59 (c) 61 (d) 65
  34. 34.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 36 (b) 59 (c) 65 (d) 89
  35. 35.What is the average of 54, 41, 64, 39, 40 and 86? (a) 54 (b) 55 (c) 56 (d) 53
  36. 36.What is the average of 59, 40, 62, 44, 69 and 50? (a) 56 (b) 54 (c) 55 (d) 53
  37. 37.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 28 (d) 50
  38. 38.What is the average of 43, 35, 39, 61 and 67? (a) 50 (b) 48 (c) 49 (d) 51
  39. 39.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 68 (b) 40 (c) 32 (d) 36
  40. 40.What is the average of 45, 48, 56, 44, 60 and 23? (a) 46 (b) 48 (c) 45 (d) 47

Answer key

  1. 38
  2. 60
  3. 74
  4. 56
  5. 78
  6. 51
  7. 70
  8. 64
  9. 74
  10. 27
  11. 62
  12. 50
  13. 22
  14. 30
  15. 68
  16. 22
  17. 51
  18. 75
  19. 45
  20. 33
  21. 118
  22. 17
  23. 42
  24. 21
  25. 67
  26. 102
  27. 9
  28. 55
  29. 32
  30. 18
  31. 32
  32. 22
  33. 65
  34. 89
  35. 54
  36. 54
  37. 50
  38. 49
  39. 68
  40. 46

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