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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 539 · 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 58, 77, 64, 69 and 67? (a) 67 (b) 69 (c) 66 (d) 68
  2. 2.What is the average of 67, 51, 68, 62, 51 and 73? (a) 61 (b) 64 (c) 62 (d) 63
  3. 3.What is the average of 63, 48, 70 and 67? (a) 61 (b) 63 (c) 64 (d) 62
  4. 4.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 26 (c) 27 (d) 30
  5. 5.What is the average of all the whole numbers from 19 to 39? (a) 29 (b) 10 (c) 30 (d) 20
  6. 6.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 19 (c) 18 (d) 30
  7. 7.What is the average of all the whole numbers from 17 to 23? (a) 20 (b) 21 (c) 6 (d) 3
  8. 8.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 37 (b) 29 (c) 24 (d) 16
  9. 9.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 17 (b) 44 (c) 92 (d) 16
  10. 10.What is the average of 43, 47, 42, 17 and 11? (a) 33 (b) 40 (c) 32 (d) 31
  11. 11.What is the average of 29, 12, 29, 25 and 10? (a) 23 (b) 22 (c) 20 (d) 21
  12. 12.What is the average of 65, 83, 79, 57 and 76? (a) 90 (b) 71 (c) 72 (d) 73
  13. 13.What is the average of 27, 22, 27 and 48? (a) 30 (b) 31 (c) 33 (d) 32
  14. 14.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 48 (b) 54 (c) 60 (d) 96
  15. 15.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 36 (b) 12 (c) 26 (d) 28
  16. 16.What is the average of all the whole numbers from 49 to 57? (a) 53 (b) 8 (c) 54 (d) 4
  17. 17.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 59 (c) 35 (d) 32
  18. 18.What is the average of all the whole numbers from 34 to 48? (a) 7 (b) 42 (c) 41 (d) 14
  19. 19.What is the average of 42, 46, 28 and 40? (a) 38 (b) 40 (c) 52 (d) 39
  20. 20.What is the average of all the whole numbers from 33 to 39? (a) 6 (b) 37 (c) 36 (d) 3
  21. 21.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 28 (b) 48 (c) 41 (d) 62
  22. 22.What is the average of all the whole numbers from 12 to 42? (a) 30 (b) 15 (c) 27 (d) 28
  23. 23.What is the average of 30, 52, 50 and 48? (a) 46 (b) 44 (c) 45 (d) 60
  24. 24.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 80 (b) 26 (c) 38 (d) 27
  25. 25.What is the average of all the whole numbers from 57 to 95? (a) 76 (b) 19 (c) 77 (d) 38
  26. 26.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 53 (c) 21 (d) 35
  27. 27.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 56 (b) 48 (c) 72 (d) 112
  28. 28.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 59 (b) 16 (c) 88 (d) 45
  29. 29.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 10 (b) 32 (c) 24 (d) 46
  30. 30.What is the average of all the whole numbers from 10 to 42? (a) 26 (b) 16 (c) 27 (d) 32
  31. 31.What is the average of all the whole numbers from 14 to 28? (a) 22 (b) 7 (c) 21 (d) 14
  32. 32.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 66 (b) 24 (c) 32 (d) 25
  33. 33.What is the average of 59, 57, 72 and 92? (a) 71 (b) 70 (c) 69 (d) 72
  34. 34.What is the average of all the whole numbers from 19 to 31? (a) 25 (b) 6 (c) 26 (d) 12
  35. 35.What is the average of 14, 14, 16, 29 and 57? (a) 28 (b) 25 (c) 27 (d) 26
  36. 36.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 56 (c) 52 (d) 100
  37. 37.What is the average of all the whole numbers from 46 to 56? (a) 10 (b) 5 (c) 52 (d) 51
  38. 38.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 64 (b) 60 (c) 116 (d) 68
  39. 39.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 45 (b) 87 (c) 15 (d) 57
  40. 40.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 40 (b) 84 (c) 54 (d) 49

Answer key

  1. 67
  2. 62
  3. 62
  4. 26
  5. 29
  6. 18
  7. 20
  8. 37
  9. 16
  10. 32
  11. 21
  12. 72
  13. 31
  14. 96
  15. 36
  16. 53
  17. 59
  18. 41
  19. 39
  20. 36
  21. 62
  22. 27
  23. 45
  24. 26
  25. 76
  26. 53
  27. 112
  28. 59
  29. 32
  30. 26
  31. 21
  32. 24
  33. 70
  34. 25
  35. 26
  36. 100
  37. 51
  38. 116
  39. 57
  40. 84

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