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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 375 · 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 85, 61, 70, 63, 80 and 73? (a) 72 (b) 71 (c) 74 (d) 73
  2. 2.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 61 (c) 16 (d) 47
  3. 3.What is the average of 42, 56, 61, 46 and 65? (a) 53 (b) 56 (c) 54 (d) 55
  4. 4.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 24 (c) 35 (d) 56
  5. 5.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 34 (c) 95 (d) 35
  6. 6.What is the average of all the whole numbers from 21 to 43? (a) 33 (b) 11 (c) 32 (d) 22
  7. 7.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 30 (c) 11 (d) 36
  8. 8.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 16 (b) 33 (c) 64 (d) 47
  9. 9.What is the average of 17, 16, 39, 34, 40 and 22? (a) 27 (b) 30 (c) 28 (d) 29
  10. 10.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 74 (c) 53 (d) 27
  11. 11.What is the average of all the whole numbers from 41 to 79? (a) 19 (b) 60 (c) 61 (d) 38
  12. 12.What is the average of 63, 84, 85, 80 and 73? (a) 78 (b) 76 (c) 77 (d) 79
  13. 13.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 98 (b) 39 (c) 38 (d) 48
  14. 14.What is the average of 41, 36, 22, 42, 30 and 9? (a) 30 (b) 29 (c) 36 (d) 31
  15. 15.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 62 (b) 79 (c) 24 (d) 41
  16. 16.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 36 (b) 52 (c) 80 (d) 48
  17. 17.What is the average of all the whole numbers from 12 to 52? (a) 33 (b) 20 (c) 40 (d) 32
  18. 18.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 18 (c) 89 (d) 61
  19. 19.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 18 (b) 72 (c) 57 (d) 60
  20. 20.What is the average of 47, 61, 41, 52, 42 and 45? (a) 47 (b) 50 (c) 49 (d) 48
  21. 21.What is the average of 32, 44, 32, 53 and 29? (a) 39 (b) 37 (c) 40 (d) 38
  22. 22.What is the average of 69, 66, 92, 75, 89 and 77? (a) 77 (b) 80 (c) 78 (d) 79
  23. 23.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 17 (b) 36 (c) 76 (d) 16
  24. 24.What is the average of all the whole numbers from 5 to 25? (a) 20 (b) 15 (c) 10 (d) 16
  25. 25.What is the average of 73, 73, 74, 59 and 81? (a) 73 (b) 71 (c) 90 (d) 72
  26. 26.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 5 (b) 40 (c) 79 (d) 44
  27. 27.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 16 (c) 32 (d) 38
  28. 28.What is the average of all the whole numbers from 54 to 62? (a) 4 (b) 58 (c) 59 (d) 8
  29. 29.What is the average of all the whole numbers from 18 to 44? (a) 32 (b) 26 (c) 13 (d) 31
  30. 30.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 49 (b) 50 (c) 35 (d) 28
  31. 31.What is the average of 71, 85, 78 and 78? (a) 104 (b) 79 (c) 78 (d) 77
  32. 32.What is the average of 79, 78, 77, 76, 74 and 6? (a) 64 (b) 78 (c) 65 (d) 66
  33. 33.What is the average of 67, 89, 88, 93 and 58? (a) 79 (b) 80 (c) 78 (d) 81
  34. 34.What is the average of all the whole numbers from 43 to 81? (a) 19 (b) 38 (c) 63 (d) 62
  35. 35.What is the average of 37, 53, 42, 27 and 36? (a) 38 (b) 39 (c) 41 (d) 40
  36. 36.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 35 (c) 21 (d) 4
  37. 37.What is the average of 65, 78, 74 and 35? (a) 84 (b) 63 (c) 64 (d) 62
  38. 38.What is the average of all the whole numbers from 38 to 54? (a) 8 (b) 16 (c) 47 (d) 46
  39. 39.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 63 (b) 24 (c) 43 (d) 47
  40. 40.What is the average of all the whole numbers from 38 to 52? (a) 46 (b) 45 (c) 7 (d) 14

Answer key

  1. 72
  2. 61
  3. 54
  4. 56
  5. 34
  6. 32
  7. 36
  8. 47
  9. 28
  10. 74
  11. 60
  12. 77
  13. 38
  14. 30
  15. 62
  16. 80
  17. 32
  18. 61
  19. 72
  20. 48
  21. 38
  22. 78
  23. 16
  24. 15
  25. 72
  26. 44
  27. 38
  28. 58
  29. 31
  30. 49
  31. 78
  32. 65
  33. 79
  34. 62
  35. 39
  36. 21
  37. 63
  38. 46
  39. 63
  40. 45

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