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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 515 · 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 6, 16, 6 and 52? (a) 19 (b) 22 (c) 21 (d) 20
  2. 2.What is the average of all the whole numbers from 38 to 56? (a) 9 (b) 48 (c) 47 (d) 18
  3. 3.What is the average of all the whole numbers from 53 to 89? (a) 72 (b) 18 (c) 36 (d) 71
  4. 4.What is the average of 58, 75, 61, 77, 66 and 71? (a) 68 (b) 69 (c) 70 (d) 67
  5. 5.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 28 (c) 10 (d) 30
  6. 6.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 68 (b) 108 (c) 50 (d) 63
  7. 7.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 76 (c) 56 (d) 30
  8. 8.What is the average of 41, 21, 36, 24, 39 and 19? (a) 29 (b) 31 (c) 30 (d) 36
  9. 9.What is the average of 57, 69, 63, 61 and 110? (a) 71 (b) 72 (c) 73 (d) 90
  10. 10.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 57 (c) 16 (d) 65
  11. 11.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 62 (b) 58 (c) 20 (d) 74
  12. 12.What is the average of 23, 33, 35 and 37? (a) 32 (b) 31 (c) 33 (d) 34
  13. 13.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 57 (c) 97 (d) 48
  14. 14.What is the average of 67, 74, 73 and 82? (a) 74 (b) 73 (c) 76 (d) 75
  15. 15.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 36 (c) 56 (d) 28
  16. 16.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 7 (b) 32 (c) 15 (d) 8
  17. 17.What is the average of all the whole numbers from 56 to 92? (a) 36 (b) 74 (c) 75 (d) 18
  18. 18.What is the average of 53, 74, 60, 71 and 57? (a) 62 (b) 65 (c) 64 (d) 63
  19. 19.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 92 (c) 50 (d) 52
  20. 20.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 65 (c) 32 (d) 49
  21. 21.What is the average of 15, 15, 34, 41, 25 and 38? (a) 27 (b) 30 (c) 28 (d) 29
  22. 22.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 24 (c) 57 (d) 70
  23. 23.What is the average of 35, 44, 18 and 23? (a) 40 (b) 30 (c) 31 (d) 29
  24. 24.What is the average of 26, 19, 31, 31, 30 and 25? (a) 28 (b) 26 (c) 27 (d) 29
  25. 25.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 48 (b) 55 (c) 61 (d) 97
  26. 26.What is the average of all the whole numbers from 26 to 40? (a) 14 (b) 7 (c) 34 (d) 33
  27. 27.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 30 (b) 15 (c) 35 (d) 10
  28. 28.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 14 (c) 70 (d) 58
  29. 29.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 16 (c) 29 (d) 43
  30. 30.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 84 (c) 20 (d) 60
  31. 31.What is the average of all the whole numbers from 53 to 91? (a) 72 (b) 19 (c) 73 (d) 38
  32. 32.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 24 (b) 37 (c) 57 (d) 41
  33. 33.What is the average of 27, 46, 32 and 43? (a) 37 (b) 36 (c) 38 (d) 39
  34. 34.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 29 (c) 49 (d) 5
  35. 35.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 47 (c) 57 (d) 12
  36. 36.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 24 (b) 66 (c) 82 (d) 62
  37. 37.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 70 (b) 49 (c) 56 (d) 112
  38. 38.What is the average of 49, 72, 62 and 49? (a) 58 (b) 57 (c) 59 (d) 60
  39. 39.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 53 (c) 67 (d) 21
  40. 40.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 15 (c) 18 (d) 30

Answer key

  1. 20
  2. 47
  3. 71
  4. 68
  5. 36
  6. 108
  7. 76
  8. 30
  9. 72
  10. 65
  11. 74
  12. 32
  13. 97
  14. 74
  15. 56
  16. 7
  17. 74
  18. 63
  19. 92
  20. 65
  21. 28
  22. 57
  23. 30
  24. 27
  25. 97
  26. 33
  27. 35
  28. 70
  29. 43
  30. 60
  31. 72
  32. 57
  33. 37
  34. 29
  35. 57
  36. 82
  37. 112
  38. 58
  39. 53
  40. 30

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