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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 445 · 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 all the whole numbers from 55 to 69? (a) 14 (b) 7 (c) 62 (d) 63
  2. 2.What is the average of 16, 9, 26, 35, 24 and 28? (a) 25 (b) 24 (c) 22 (d) 23
  3. 3.What is the average of all the whole numbers from 25 to 51? (a) 13 (b) 26 (c) 39 (d) 38
  4. 4.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 54? (a) 68 (b) 16 (c) 56 (d) 54
  5. 5.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 59 (c) 50 (d) 104
  6. 6.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 50 (b) 45 (c) 102 (d) 44
  7. 7.What is the average of 53, 60, 44 and 71? (a) 76 (b) 58 (c) 56 (d) 57
  8. 8.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 61 (b) 43 (c) 24 (d) 40
  9. 9.What is the average of 35, 16, 32, 25 and 22? (a) 26 (b) 28 (c) 25 (d) 27
  10. 10.What is the average of 41, 19, 21, 25, 17 and 69? (a) 31 (b) 34 (c) 32 (d) 33
  11. 11.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 27 (b) 61 (c) 30 (d) 28
  12. 12.What is the average of 54, 63, 60, 51 and 37? (a) 54 (b) 52 (c) 55 (d) 53
  13. 13.What is the average of 27, 51, 34, 42 and 36? (a) 37 (b) 38 (c) 39 (d) 40
  14. 14.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 30 (b) 29 (c) 71 (d) 35
  15. 15.What is the average of all the whole numbers from 11 to 43? (a) 27 (b) 28 (c) 16 (d) 32
  16. 16.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 39 (b) 65 (c) 7 (d) 33
  17. 17.What is the average of all the whole numbers from 50 to 76? (a) 64 (b) 63 (c) 13 (d) 26
  18. 18.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 41 (b) 42 (c) 91 (d) 45
  19. 19.What is the average of 89, 80, 59, 71, 82 and 63? (a) 76 (b) 73 (c) 75 (d) 74
  20. 20.What is the average of 71, 65, 79 and 105? (a) 81 (b) 79 (c) 82 (d) 80
  21. 21.What is the average of all the whole numbers from 60 to 80? (a) 10 (b) 20 (c) 71 (d) 70
  22. 22.What is the average of 88, 83, 62 and 75? (a) 77 (b) 76 (c) 79 (d) 78
  23. 23.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 35? (a) 50 (b) 38 (c) 35 (d) 18
  24. 24.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 36 (c) 58 (d) 88
  25. 25.What is the average of 23, 50, 45, 38 and 29? (a) 38 (b) 37 (c) 39 (d) 36
  26. 26.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 27 (b) 83 (c) 59 (d) 62
  27. 27.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 52 (b) 12 (c) 50 (d) 60
  28. 28.What is the average of 62, 65, 77 and 96? (a) 76 (b) 100 (c) 75 (d) 74
  29. 29.What is the average of all the whole numbers from 25 to 65? (a) 46 (b) 40 (c) 20 (d) 45
  30. 30.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 26 (c) 8 (d) 20
  31. 31.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 25 (b) 46 (c) 47 (d) 24
  32. 32.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 62 (b) 13 (c) 29 (d) 14
  33. 33.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 22 (b) 28 (c) 7 (d) 43
  34. 34.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 18 (b) 33 (c) 47 (d) 31
  35. 35.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 66 (c) 42 (d) 67
  36. 36.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 41 (b) 27 (c) 16 (d) 29
  37. 37.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 20 (c) 25 (d) 10
  38. 38.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 65 (b) 28 (c) 32 (d) 27
  39. 39.What is the average of all the whole numbers from 16 to 24? (a) 4 (b) 8 (c) 20 (d) 21
  40. 40.What is the average of 48, 53, 53, 35 and 26? (a) 42 (b) 45 (c) 44 (d) 43

Answer key

  1. 62
  2. 23
  3. 38
  4. 68
  5. 104
  6. 44
  7. 57
  8. 61
  9. 26
  10. 32
  11. 27
  12. 53
  13. 38
  14. 29
  15. 27
  16. 39
  17. 63
  18. 41
  19. 74
  20. 80
  21. 70
  22. 77
  23. 50
  24. 88
  25. 37
  26. 83
  27. 60
  28. 75
  29. 45
  30. 20
  31. 46
  32. 13
  33. 28
  34. 47
  35. 66
  36. 41
  37. 25
  38. 27
  39. 20
  40. 43

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