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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 883 · 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 29, 47, 46 and 14? (a) 34 (b) 35 (c) 33 (d) 36
  2. 2.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 22? (a) 16 (b) 24 (c) 36 (d) 22
  3. 3.What is the average of 67, 62, 58 and 37? (a) 55 (b) 58 (c) 57 (d) 56
  4. 4.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) 69 (c) 14 (d) 57
  5. 5.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 55 (c) 23 (d) 22
  6. 6.What is the average of all the whole numbers from 21 to 33? (a) 28 (b) 12 (c) 6 (d) 27
  7. 7.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 4 (c) 10 (d) 3
  8. 8.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 36? (a) 36 (b) 43 (c) 63 (d) 92
  9. 9.What is the average of all the whole numbers from 51 to 57? (a) 6 (b) 55 (c) 54 (d) 3
  10. 10.What is the average of 21, 17, 17, 28, 40 and 51? (a) 28 (b) 31 (c) 30 (d) 29
  11. 11.What is the average of all the whole numbers from 26 to 62? (a) 45 (b) 36 (c) 44 (d) 18
  12. 12.What is the average of all the whole numbers from 25 to 51? (a) 13 (b) 38 (c) 39 (d) 26
  13. 13.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 63 (c) 87 (d) 38
  14. 14.What is the average of 54, 70, 58 and 66? (a) 63 (b) 64 (c) 61 (d) 62
  15. 15.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 15 (c) 39 (d) 27
  16. 16.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 40 (c) 71 (d) 5
  17. 17.What is the average of all the whole numbers from 23 to 51? (a) 37 (b) 14 (c) 38 (d) 28
  18. 18.What is the average of 55, 50, 58, 53, 69 and 69? (a) 61 (b) 60 (c) 59 (d) 58
  19. 19.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 16 (b) 56 (c) 68 (d) 60
  20. 20.What is the average of 67, 57, 73, 72 and 71? (a) 69 (b) 67 (c) 85 (d) 68
  21. 21.What is the average of all the whole numbers from 20 to 60? (a) 40 (b) 20 (c) 41 (d) 39
  22. 22.What is the average of 13, 35, 29, 39, 26 and 14? (a) 26 (b) 27 (c) 28 (d) 25
  23. 23.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 50 (b) 25 (c) 40 (d) 15
  24. 24.What is the average of all the whole numbers from 24 to 44? (a) 10 (b) 35 (c) 34 (d) 20
  25. 25.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 13 (c) 23 (d) 28
  26. 26.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 35 (b) 58 (c) 51 (d) 79
  27. 27.What is the average of 64, 92, 80, 91 and 68? (a) 79 (b) 78 (c) 80 (d) 81
  28. 28.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 35 (c) 43 (d) 12
  29. 29.What is the average of all the whole numbers from 57 to 65? (a) 8 (b) 4 (c) 62 (d) 61
  30. 30.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 5 (b) 6 (c) 55 (d) 25
  31. 31.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 127 (b) 126 (c) 63 (d) 70
  32. 32.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 28 (b) 47 (c) 27 (d) 98
  33. 33.What is the average of 37, 20, 24, 35, 14 and 20? (a) 30 (b) 24 (c) 26 (d) 25
  34. 34.What is the average of all the whole numbers from 43 to 55? (a) 12 (b) 50 (c) 6 (d) 49
  35. 35.What is the average of 76, 54, 77, 68 and 70? (a) 70 (b) 69 (c) 71 (d) 68
  36. 36.What is the average of all the whole numbers from 55 to 65? (a) 10 (b) 61 (c) 5 (d) 60
  37. 37.What is the average of all the whole numbers from 33 to 63? (a) 49 (b) 30 (c) 15 (d) 48
  38. 38.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 6 (c) 10 (d) 15
  39. 39.What is the average of all the whole numbers from 29 to 57? (a) 14 (b) 44 (c) 28 (d) 43
  40. 40.What is the average of all the whole numbers from 20 to 34? (a) 27 (b) 14 (c) 28 (d) 7

Answer key

  1. 34
  2. 36
  3. 56
  4. 69
  5. 22
  6. 27
  7. 3
  8. 92
  9. 54
  10. 29
  11. 44
  12. 38
  13. 87
  14. 62
  15. 39
  16. 40
  17. 37
  18. 59
  19. 68
  20. 68
  21. 40
  22. 26
  23. 50
  24. 34
  25. 28
  26. 79
  27. 79
  28. 43
  29. 61
  30. 5
  31. 126
  32. 27
  33. 25
  34. 49
  35. 69
  36. 60
  37. 48
  38. 15
  39. 43
  40. 27

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