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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 367 · 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.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 75 (b) 55 (c) 59 (d) 24
  2. 2.What is the average of 31, 48, 44 and 13? (a) 34 (b) 33 (c) 36 (d) 35
  3. 3.What is the average of 69, 73, 65, 58, 72 and 35? (a) 62 (b) 61 (c) 64 (d) 63
  4. 4.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 24 (b) 31 (c) 47 (d) 8
  5. 5.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 5 (c) 59 (d) 34
  6. 6.What is the average of all the whole numbers from 34 to 74? (a) 54 (b) 40 (c) 55 (d) 20
  7. 7.What is the average of all the whole numbers from 43 to 53? (a) 49 (b) 10 (c) 48 (d) 5
  8. 8.What is the average of all the whole numbers from 37 to 75? (a) 57 (b) 19 (c) 56 (d) 38
  9. 9.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 9 (c) 20 (d) 42
  10. 10.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 78 (c) 30 (d) 60
  11. 11.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 47 (c) 61 (d) 26
  12. 12.What is the average of all the whole numbers from 10 to 24? (a) 14 (b) 7 (c) 18 (d) 17
  13. 13.What is the average of 55, 40, 35 and 62? (a) 64 (b) 47 (c) 49 (d) 48
  14. 14.What is the average of 54, 43, 41, 43 and 24? (a) 43 (b) 41 (c) 40 (d) 42
  15. 15.What is the average of 25, 26, 13, 27, 30 and 11? (a) 23 (b) 21 (c) 24 (d) 22
  16. 16.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 66 (c) 8 (d) 40
  17. 17.What is the average of all the whole numbers from 29 to 47? (a) 9 (b) 18 (c) 39 (d) 38
  18. 18.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 38? (a) 38 (b) 46 (c) 56 (d) 86
  19. 19.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 54 (b) 39 (c) 81 (d) 33
  20. 20.What is the average of 55, 74, 76, 70, 85 and 60? (a) 71 (b) 69 (c) 70 (d) 84
  21. 21.What is the average of all the whole numbers from 22 to 40? (a) 18 (b) 9 (c) 31 (d) 32
  22. 22.What is the average of 27, 43, 21, 34 and 50? (a) 37 (b) 35 (c) 34 (d) 36
  23. 23.What is the average of all the whole numbers from 27 to 61? (a) 45 (b) 34 (c) 44 (d) 17
  24. 24.What is the average of 64, 69, 55, 73, 84 and 75? (a) 71 (b) 84 (c) 69 (d) 70
  25. 25.What is the average of 33, 45, 27 and 35? (a) 36 (b) 37 (c) 35 (d) 34
  26. 26.What is the average of 41, 55, 63 and 37? (a) 48 (b) 49 (c) 51 (d) 50
  27. 27.What is the average of 40, 21, 15, 28, 17 and 53? (a) 31 (b) 28 (c) 30 (d) 29
  28. 28.What is the average of all the whole numbers from 18 to 36? (a) 28 (b) 27 (c) 18 (d) 9
  29. 29.What is the average of 70, 64, 51, 59 and 66? (a) 63 (b) 64 (c) 62 (d) 61
  30. 30.What is the average of all the whole numbers from 13 to 19? (a) 17 (b) 3 (c) 16 (d) 6
  31. 31.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 35 (b) 20 (c) 37 (d) 18
  32. 32.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 68 (b) 20 (c) 21 (d) 32
  33. 33.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 17 (b) 21 (c) 7 (d) 11
  34. 34.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 60 (c) 24 (d) 23
  35. 35.What is the average of all the whole numbers from 18 to 32? (a) 14 (b) 26 (c) 25 (d) 7
  36. 36.What is the average of 52, 47, 51 and 26? (a) 46 (b) 45 (c) 44 (d) 43
  37. 37.What is the average of all the whole numbers from 47 to 55? (a) 8 (b) 51 (c) 52 (d) 4
  38. 38.What is the average of 33, 33, 49, 22 and 33? (a) 36 (b) 33 (c) 35 (d) 34
  39. 39.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 6 (c) 17 (d) 23
  40. 40.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 15 (b) 71 (c) 62 (d) 59

Answer key

  1. 75
  2. 34
  3. 62
  4. 31
  5. 34
  6. 54
  7. 48
  8. 56
  9. 8
  10. 78
  11. 61
  12. 17
  13. 48
  14. 41
  15. 22
  16. 40
  17. 38
  18. 86
  19. 81
  20. 70
  21. 31
  22. 35
  23. 44
  24. 70
  25. 35
  26. 49
  27. 29
  28. 27
  29. 62
  30. 16
  31. 35
  32. 20
  33. 17
  34. 23
  35. 25
  36. 44
  37. 51
  38. 34
  39. 17
  40. 71

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