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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 26 · 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 27, 35, 28, 28, 31 and 25? (a) 31 (b) 28 (c) 29 (d) 30
  2. 2.What is the average of 42, 39, 49, 42 and 83? (a) 50 (b) 52 (c) 51 (d) 53
  3. 3.What is the average of 61, 69, 53 and 81? (a) 88 (b) 65 (c) 67 (d) 66
  4. 4.What is the average of 8, 15, 26 and 31? (a) 19 (b) 21 (c) 22 (d) 20
  5. 5.What is the average of all the whole numbers from 55 to 73? (a) 18 (b) 9 (c) 65 (d) 64
  6. 6.What is the average of all the whole numbers from 31 to 63? (a) 32 (b) 16 (c) 48 (d) 47
  7. 7.What is the average of all the whole numbers from 40 to 74? (a) 58 (b) 17 (c) 57 (d) 34
  8. 8.What is the average of 59, 65, 73 and 79? (a) 92 (b) 70 (c) 69 (d) 68
  9. 9.What is the average of 28, 44, 16, 40 and 17? (a) 28 (b) 30 (c) 31 (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 51? (a) 51 (b) 36 (c) 55 (d) 83
  11. 11.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 33 (c) 25 (d) 12
  12. 12.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 59 (b) 14 (c) 69 (d) 57
  13. 13.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 31 (b) 59 (c) 12 (d) 40
  14. 14.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 15 (b) 43 (c) 59 (d) 31
  15. 15.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 39 (b) 60 (c) 31 (d) 10
  16. 16.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 28 (b) 51 (c) 65 (d) 44
  17. 17.What is the average of 51, 63, 66, 47, 57 and 52? (a) 57 (b) 58 (c) 55 (d) 56
  18. 18.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 34 (c) 24 (d) 12
  19. 19.What is the average of 20, 29, 29, 32, 13 and 15? (a) 25 (b) 23 (c) 24 (d) 22
  20. 20.What is the average of 30, 40, 28 and 74? (a) 42 (b) 44 (c) 43 (d) 45
  21. 21.What is the average of 52, 30, 48, 29 and 61? (a) 55 (b) 45 (c) 44 (d) 43
  22. 22.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 5 (b) 23 (c) 45 (d) 27
  23. 23.What is the average of all the whole numbers from 21 to 43? (a) 33 (b) 22 (c) 11 (d) 32
  24. 24.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 72 (c) 38 (d) 94
  25. 25.What is the average of all the whole numbers from 19 to 49? (a) 35 (b) 30 (c) 15 (d) 34
  26. 26.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 21 (b) 76 (c) 36 (d) 20
  27. 27.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 5 (c) 53 (d) 31
  28. 28.What is the average of all the whole numbers from 58 to 86? (a) 73 (b) 72 (c) 14 (d) 28
  29. 29.What is the average of all the whole numbers from 26 to 66? (a) 40 (b) 46 (c) 20 (d) 47
  30. 30.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 63 (c) 33 (d) 35
  31. 31.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 33? (a) 35 (b) 33 (c) 8 (d) 39
  32. 32.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 8 (c) 32 (d) 38
  33. 33.What is the average of 67, 75, 77, 91, 83 and 75? (a) 77 (b) 80 (c) 78 (d) 79
  34. 34.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 62 (c) 30 (d) 38
  35. 35.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 24 (b) 45 (c) 51 (d) 63
  36. 36.What is the average of 17, 15, 27, 13, 40 and 50? (a) 27 (b) 28 (c) 29 (d) 26
  37. 37.What is the average of 91, 88, 68, 66 and 82? (a) 78 (b) 80 (c) 79 (d) 81
  38. 38.What is the average of all the whole numbers from 43 to 69? (a) 13 (b) 57 (c) 56 (d) 26
  39. 39.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 38 (b) 17 (c) 31 (d) 24
  40. 40.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 27 (c) 56 (d) 77

Answer key

  1. 29
  2. 51
  3. 66
  4. 20
  5. 64
  6. 47
  7. 57
  8. 69
  9. 29
  10. 83
  11. 33
  12. 69
  13. 40
  14. 43
  15. 39
  16. 65
  17. 56
  18. 34
  19. 23
  20. 43
  21. 44
  22. 27
  23. 32
  24. 94
  25. 34
  26. 20
  27. 31
  28. 72
  29. 46
  30. 63
  31. 39
  32. 38
  33. 78
  34. 62
  35. 63
  36. 27
  37. 79
  38. 56
  39. 38
  40. 77

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