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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 410 · 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 11, 13, 16 and 52? (a) 25 (b) 24 (c) 22 (d) 23
  2. 2.What is the average of 27, 19, 30, 22, 39 and 61? (a) 33 (b) 34 (c) 35 (d) 32
  3. 3.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 70 (b) 64 (c) 42 (d) 100
  4. 4.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 24 (b) 48 (c) 60 (d) 42
  5. 5.What is the average of 29, 14, 15 and 58? (a) 30 (b) 29 (c) 31 (d) 28
  6. 6.What is the average of 52, 49, 27, 32, 55 and 31? (a) 43 (b) 41 (c) 42 (d) 40
  7. 7.What is the average of all the whole numbers from 31 to 43? (a) 37 (b) 12 (c) 6 (d) 38
  8. 8.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 10 (c) 9 (d) 29
  9. 9.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 46? (a) 50 (b) 46 (c) 36 (d) 78
  10. 10.What is the average of 64, 85, 59 and 80? (a) 71 (b) 73 (c) 96 (d) 72
  11. 11.What is the average of all the whole numbers from 33 to 51? (a) 42 (b) 18 (c) 9 (d) 43
  12. 12.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 42 (c) 36 (d) 16
  13. 13.What is the average of all the whole numbers from 39 to 63? (a) 52 (b) 12 (c) 24 (d) 51
  14. 14.What is the average of all the whole numbers from 37 to 45? (a) 8 (b) 42 (c) 4 (d) 41
  15. 15.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 62 (b) 56 (c) 92 (d) 42
  16. 16.What is the average of all the whole numbers from 26 to 54? (a) 41 (b) 28 (c) 40 (d) 14
  17. 17.What is the average of 49, 42, 58, 44, 58 and 43? (a) 49 (b) 48 (c) 50 (d) 51
  18. 18.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 15 (c) 31 (d) 20
  19. 19.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 92 (b) 32 (c) 31 (d) 45
  20. 20.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 27 (b) 28 (c) 43 (d) 90
  21. 21.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 63 (b) 65 (c) 121 (d) 72
  22. 22.What is the average of 16, 33, 14, 11, 12 and 40? (a) 20 (b) 23 (c) 22 (d) 21
  23. 23.What is the average of 81, 76, 67, 86, 75 and 95? (a) 79 (b) 80 (c) 81 (d) 96
  24. 24.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 93 (b) 29 (c) 37 (d) 72
  25. 25.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 46 (c) 14 (d) 66
  26. 26.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 43 (b) 35 (c) 64 (d) 36
  27. 27.What is the average of 33, 40, 46, 40, 29 and 10? (a) 34 (b) 33 (c) 32 (d) 35
  28. 28.What is the average of 17, 28, 27 and 52? (a) 30 (b) 32 (c) 33 (d) 31
  29. 29.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 10 (b) 48 (c) 9 (d) 23
  30. 30.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 18 (c) 59 (d) 44
  31. 31.What is the average of all the whole numbers from 21 to 49? (a) 14 (b) 28 (c) 36 (d) 35
  32. 32.What is the average of all the whole numbers from 39 to 67? (a) 28 (b) 14 (c) 53 (d) 54
  33. 33.What is the average of all the whole numbers from 15 to 31? (a) 8 (b) 24 (c) 23 (d) 16
  34. 34.What is the average of 74, 69, 62, 66, 63 and 110? (a) 74 (b) 75 (c) 73 (d) 76
  35. 35.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 49? (a) 49 (b) 89 (c) 45 (d) 54
  36. 36.What is the average of 25, 20, 34 and 33? (a) 30 (b) 27 (c) 29 (d) 28
  37. 37.What is the average of 70, 93, 69, 80, 87 and 75? (a) 79 (b) 81 (c) 80 (d) 78
  38. 38.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 21 (c) 49 (d) 32
  39. 39.What is the average of all the whole numbers from 15 to 41? (a) 13 (b) 28 (c) 29 (d) 26
  40. 40.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 32 (b) 53 (c) 25 (d) 46

Answer key

  1. 23
  2. 33
  3. 100
  4. 60
  5. 29
  6. 41
  7. 37
  8. 9
  9. 78
  10. 72
  11. 42
  12. 36
  13. 51
  14. 41
  15. 92
  16. 40
  17. 49
  18. 31
  19. 31
  20. 27
  21. 121
  22. 21
  23. 80
  24. 93
  25. 46
  26. 64
  27. 33
  28. 31
  29. 9
  30. 59
  31. 35
  32. 53
  33. 23
  34. 74
  35. 89
  36. 28
  37. 79
  38. 49
  39. 28
  40. 53

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