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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 725 · 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 51, 48, 62 and 67? (a) 57 (b) 56 (c) 76 (d) 58
  2. 2.What is the average of 26, 7, 7 and 44? (a) 20 (b) 28 (c) 21 (d) 22
  3. 3.What is the average of all the whole numbers from 39 to 67? (a) 53 (b) 14 (c) 28 (d) 54
  4. 4.What is the average of 34, 20, 26 and 40? (a) 29 (b) 31 (c) 40 (d) 30
  5. 5.What is the average of 71, 79, 69, 75, 87 and 63? (a) 74 (b) 76 (c) 73 (d) 75
  6. 6.What is the average of 45, 58, 45, 56, 47 and 103? (a) 60 (b) 59 (c) 61 (d) 58
  7. 7.What is the average of all the whole numbers from 48 to 80? (a) 32 (b) 64 (c) 65 (d) 16
  8. 8.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 20 (c) 66 (d) 50
  9. 9.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 66 (b) 70 (c) 122 (d) 59
  10. 10.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 12 (c) 21 (d) 20
  11. 11.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 21 (b) 61 (c) 79 (d) 64
  12. 12.What is the average of 28, 25, 31 and 52? (a) 36 (b) 33 (c) 34 (d) 35
  13. 13.What is the average of all the whole numbers from 7 to 37? (a) 15 (b) 30 (c) 22 (d) 23
  14. 14.What is the average of all the whole numbers from 26 to 38? (a) 32 (b) 6 (c) 12 (d) 33
  15. 15.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 72 (b) 23 (c) 34 (d) 22
  16. 16.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 48 (c) 46 (d) 26
  17. 17.What is the average of 49, 52, 57, 55 and 107? (a) 80 (b) 64 (c) 63 (d) 65
  18. 18.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 46 (c) 74 (d) 42
  19. 19.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 45 (c) 41 (d) 76
  20. 20.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) 28 (b) 23 (c) 24 (d) 57
  21. 21.What is the average of all the whole numbers from 37 to 45? (a) 8 (b) 41 (c) 4 (d) 42
  22. 22.What is the average of all the whole numbers from 41 to 71? (a) 57 (b) 56 (c) 15 (d) 30
  23. 23.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 55 (c) 20 (d) 39
  24. 24.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 69 (b) 57 (c) 51 (d) 24
  25. 25.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 75 (c) 32 (d) 51
  26. 26.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 14 (c) 11 (d) 10
  27. 27.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 20 (b) 73 (c) 34 (d) 19
  28. 28.What is the average of 77, 76, 64, 60 and 88? (a) 72 (b) 73 (c) 74 (d) 75
  29. 29.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 8 (b) 35 (c) 69 (d) 42
  30. 30.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 54 (c) 78 (d) 27
  31. 31.What is the average of 40, 46, 62 and 56? (a) 52 (b) 68 (c) 51 (d) 50
  32. 32.What is the average of 81, 57, 69, 68 and 60? (a) 68 (b) 69 (c) 66 (d) 67
  33. 33.What is the average of all the whole numbers from 18 to 56? (a) 38 (b) 36 (c) 37 (d) 19
  34. 34.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 25 (b) 41 (c) 56 (d) 36
  35. 35.What is the average of all the whole numbers from 58 to 96? (a) 78 (b) 38 (c) 77 (d) 19
  36. 36.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 25 (c) 93 (d) 69
  37. 37.What is the average of all the whole numbers from 35 to 49? (a) 14 (b) 7 (c) 42 (d) 43
  38. 38.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 49 (b) 40 (c) 15 (d) 37
  39. 39.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 73 (b) 42 (c) 38 (d) 45
  40. 40.What is the average of 55, 71, 59 and 47? (a) 59 (b) 60 (c) 58 (d) 57

Answer key

  1. 57
  2. 21
  3. 53
  4. 30
  5. 74
  6. 59
  7. 64
  8. 66
  9. 122
  10. 21
  11. 79
  12. 34
  13. 22
  14. 32
  15. 22
  16. 46
  17. 64
  18. 74
  19. 76
  20. 23
  21. 41
  22. 56
  23. 55
  24. 69
  25. 75
  26. 10
  27. 19
  28. 73
  29. 42
  30. 78
  31. 51
  32. 67
  33. 37
  34. 56
  35. 77
  36. 69
  37. 42
  38. 49
  39. 73
  40. 58

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