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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 702 · 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.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 90 (b) 47 (c) 67 (d) 24
  2. 2.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 24 (c) 45 (d) 63
  3. 3.What is the average of 25, 31, 32, 26, 22 and 8? (a) 25 (b) 23 (c) 26 (d) 24
  4. 4.What is the average of all the whole numbers from 31 to 55? (a) 12 (b) 24 (c) 44 (d) 43
  5. 5.What is the average of all the whole numbers from 22 to 54? (a) 32 (b) 38 (c) 16 (d) 39
  6. 6.What is the average of 23, 40, 41, 34 and 2? (a) 27 (b) 29 (c) 28 (d) 35
  7. 7.What is the average of all the whole numbers from 53 to 91? (a) 73 (b) 72 (c) 38 (d) 19
  8. 8.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 51 (c) 33 (d) 21
  9. 9.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 65 (b) 20 (c) 61 (d) 77
  10. 10.What is the average of 37, 47, 37 and 87? (a) 53 (b) 54 (c) 51 (d) 52
  11. 11.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 24 (c) 34 (d) 64
  12. 12.What is the average of 61, 43, 65 and 31? (a) 49 (b) 52 (c) 50 (d) 51
  13. 13.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 37 (c) 16 (d) 51
  14. 14.What is the average of all the whole numbers from 34 to 68? (a) 34 (b) 51 (c) 52 (d) 17
  15. 15.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 6 (c) 26 (d) 27
  16. 16.What is the average of all the whole numbers from 43 to 55? (a) 6 (b) 49 (c) 50 (d) 12
  17. 17.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 32 (c) 30 (d) 8
  18. 18.What is the average of 16, 12, 31 and 45? (a) 28 (b) 25 (c) 26 (d) 27
  19. 19.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 65 (c) 85 (d) 28
  20. 20.What is the average of all the whole numbers from 42 to 48? (a) 45 (b) 46 (c) 6 (d) 3
  21. 21.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 14 (b) 33 (c) 13 (d) 16
  22. 22.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 35 (c) 40 (d) 6
  23. 23.What is the average of 59, 66, 65, 63 and 67? (a) 80 (b) 63 (c) 64 (d) 65
  24. 24.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 23 (c) 90 (d) 24
  25. 25.What is the average of all the whole numbers from 49 to 89? (a) 69 (b) 70 (c) 20 (d) 40
  26. 26.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 30 (c) 31 (d) 33
  27. 27.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 77 (b) 24 (c) 59 (d) 65
  28. 28.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 20 (c) 62 (d) 88
  29. 29.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 27 (c) 69 (d) 48
  30. 30.What is the average of 83, 67, 59, 78 and 68? (a) 71 (b) 73 (c) 70 (d) 72
  31. 31.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 56 (b) 94 (c) 10 (d) 48
  32. 32.What is the average of 11, 11, 9, 9 and 60? (a) 19 (b) 20 (c) 21 (d) 25
  33. 33.What is the average of 75, 92, 80 and 65? (a) 78 (b) 77 (c) 79 (d) 104
  34. 34.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 14 (b) 78 (c) 37 (d) 13
  35. 35.What is the average of 54, 59, 41 and 30? (a) 46 (b) 48 (c) 45 (d) 47
  36. 36.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 38? (a) 45 (b) 28 (c) 38 (d) 59
  37. 37.What is the average of 84, 67, 82, 66, 74 and 95? (a) 80 (b) 77 (c) 79 (d) 78
  38. 38.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 11 (c) 12 (d) 19
  39. 39.What is the average of 18, 18, 28 and 44? (a) 26 (b) 27 (c) 28 (d) 36
  40. 40.What is the average of all the whole numbers from 12 to 30? (a) 21 (b) 22 (c) 18 (d) 9

Answer key

  1. 67
  2. 63
  3. 24
  4. 43
  5. 38
  6. 28
  7. 72
  8. 51
  9. 77
  10. 52
  11. 54
  12. 50
  13. 51
  14. 51
  15. 26
  16. 49
  17. 36
  18. 26
  19. 85
  20. 45
  21. 13
  22. 40
  23. 64
  24. 23
  25. 69
  26. 30
  27. 77
  28. 62
  29. 69
  30. 71
  31. 56
  32. 20
  33. 78
  34. 13
  35. 46
  36. 59
  37. 78
  38. 20
  39. 27
  40. 21

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