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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 221 · 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 55, 67, 72, 77 and 69? (a) 68 (b) 85 (c) 67 (d) 69
  2. 2.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 66 (c) 46 (d) 87
  3. 3.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 27 (b) 58 (c) 4 (d) 3
  4. 4.What is the average of all the whole numbers from 15 to 53? (a) 19 (b) 35 (c) 34 (d) 38
  5. 5.What is the average of 46, 38, 26, 35, 31 and 40? (a) 38 (b) 35 (c) 37 (d) 36
  6. 6.What is the average of all the whole numbers from 29 to 47? (a) 18 (b) 39 (c) 9 (d) 38
  7. 7.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 45 (b) 33 (c) 16 (d) 62
  8. 8.What is the average of 75, 68, 74 and 31? (a) 63 (b) 62 (c) 61 (d) 64
  9. 9.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 15 (c) 36 (d) 45
  10. 10.What is the average of 55, 55, 69 and 49? (a) 56 (b) 58 (c) 57 (d) 76
  11. 11.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 24 (c) 33 (d) 22
  12. 12.What is the average of all the whole numbers from 40 to 78? (a) 19 (b) 60 (c) 38 (d) 59
  13. 13.What is the average of 18, 38, 32, 11 and 31? (a) 28 (b) 25 (c) 26 (d) 27
  14. 14.What is the average of all the whole numbers from 10 to 34? (a) 23 (b) 12 (c) 22 (d) 24
  15. 15.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 15 (b) 80 (c) 38 (d) 14
  16. 16.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 24 (c) 25 (d) 13
  17. 17.What is the average of 76, 73, 74, 82 and 35? (a) 69 (b) 68 (c) 85 (d) 67
  18. 18.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 79 (b) 12 (c) 13 (d) 37
  19. 19.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 30 (b) 79 (c) 55 (d) 52
  20. 20.What is the average of 60, 50, 40 and 66? (a) 53 (b) 72 (c) 54 (d) 55
  21. 21.What is the average of all the whole numbers from 48 to 56? (a) 52 (b) 53 (c) 4 (d) 8
  22. 22.What is the average of 58, 35, 43, 49 and 45? (a) 45 (b) 48 (c) 47 (d) 46
  23. 23.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 47 (b) 41 (c) 65 (d) 30
  24. 24.What is the average of all the whole numbers from 20 to 48? (a) 35 (b) 28 (c) 14 (d) 34
  25. 25.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 68 (b) 28 (c) 88 (d) 64
  26. 26.What is the average of all the whole numbers from 58 to 76? (a) 18 (b) 68 (c) 9 (d) 67
  27. 27.What is the average of 29, 25, 23, 8, 21 and 32? (a) 24 (b) 22 (c) 25 (d) 23
  28. 28.What is the average of all the whole numbers from 14 to 32? (a) 18 (b) 9 (c) 24 (d) 23
  29. 29.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 76 (b) 39 (c) 12 (d) 49
  30. 30.What is the average of all the whole numbers from 41 to 77? (a) 18 (b) 59 (c) 60 (d) 36
  31. 31.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) 72 (b) 64 (c) 112 (d) 56
  32. 32.What is the average of 80, 83, 83 and 50? (a) 73 (b) 76 (c) 75 (d) 74
  33. 33.What is the average of 29, 11, 15 and 49? (a) 25 (b) 28 (c) 26 (d) 27
  34. 34.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 43 (c) 21 (d) 25
  35. 35.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 28 (b) 43 (c) 89 (d) 29
  36. 36.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 48 (b) 59 (c) 91 (d) 51
  37. 37.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 34 (b) 18 (c) 19 (d) 35
  38. 38.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 104 (b) 62 (c) 48 (d) 68
  39. 39.What is the average of all the whole numbers from 43 to 71? (a) 28 (b) 14 (c) 58 (d) 57
  40. 40.What is the average of 59, 51, 48 and 62? (a) 54 (b) 56 (c) 57 (d) 55

Answer key

  1. 68
  2. 66
  3. 3
  4. 34
  5. 36
  6. 38
  7. 45
  8. 62
  9. 45
  10. 57
  11. 33
  12. 59
  13. 26
  14. 22
  15. 14
  16. 25
  17. 68
  18. 12
  19. 79
  20. 54
  21. 52
  22. 46
  23. 65
  24. 34
  25. 88
  26. 67
  27. 23
  28. 23
  29. 49
  30. 59
  31. 112
  32. 74
  33. 26
  34. 43
  35. 28
  36. 91
  37. 34
  38. 104
  39. 57
  40. 55

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