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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 116 · 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 all the whole numbers from 6 to 30? (a) 19 (b) 24 (c) 12 (d) 18
  2. 2.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 16 (c) 58 (d) 17
  3. 3.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 70 (b) 35 (c) 98 (d) 42
  4. 4.What is the average of 16, 24, 42 and 26? (a) 28 (b) 27 (c) 26 (d) 36
  5. 5.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 28 (c) 41 (d) 8
  6. 6.What is the average of 44, 22, 46, 30 and 38? (a) 36 (b) 45 (c) 35 (d) 37
  7. 7.What is the average of 26, 38, 43, 36 and 62? (a) 43 (b) 42 (c) 40 (d) 41
  8. 8.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 9 (b) 27 (c) 8 (d) 13
  9. 9.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 109 (c) 64 (d) 61
  10. 10.What is the average of all the whole numbers from 50 to 78? (a) 14 (b) 28 (c) 65 (d) 64
  11. 11.What is the average of 30, 13, 27, 28, 26 and 44? (a) 29 (b) 27 (c) 30 (d) 28
  12. 12.What is the average of 55, 49, 55, 44, 53 and 68? (a) 55 (b) 56 (c) 54 (d) 53
  13. 13.What is the average of all the whole numbers from 36 to 56? (a) 47 (b) 10 (c) 20 (d) 46
  14. 14.What is the average of 64, 81, 79, 59, 81 and 80? (a) 73 (b) 75 (c) 76 (d) 74
  15. 15.What is the average of 56, 44, 37, 30, 30 and 67? (a) 45 (b) 43 (c) 44 (d) 46
  16. 16.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 52 (b) 56 (c) 92 (d) 44
  17. 17.What is the average of 28, 33, 26, 32, 27 and 40? (a) 32 (b) 30 (c) 33 (d) 31
  18. 18.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 36 (b) 43 (c) 49 (d) 73
  19. 19.What is the average of all the whole numbers from 10 to 32? (a) 21 (b) 22 (c) 20 (d) 11
  20. 20.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 93 (c) 25 (d) 69
  21. 21.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 41 (c) 7 (d) 35
  22. 22.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 78 (b) 68 (c) 63 (d) 20
  23. 23.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 38 (c) 70 (d) 36
  24. 24.What is the average of all the whole numbers from 11 to 17? (a) 6 (b) 15 (c) 3 (d) 14
  25. 25.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 20 (b) 44 (c) 56 (d) 40
  26. 26.What is the average of all the whole numbers from 22 to 44? (a) 11 (b) 33 (c) 34 (d) 22
  27. 27.What is the average of all the whole numbers from 45 to 65? (a) 55 (b) 10 (c) 20 (d) 56
  28. 28.What is the average of 64, 73, 59 and 84? (a) 72 (b) 71 (c) 69 (d) 70
  29. 29.What is the average of all the whole numbers from 23 to 29? (a) 3 (b) 6 (c) 26 (d) 27
  30. 30.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 38 (b) 70 (c) 34 (d) 40
  31. 31.What is the average of 27, 39, 30, 51 and 38? (a) 38 (b) 39 (c) 37 (d) 36
  32. 32.What is the average of 61, 54, 53 and 80? (a) 64 (b) 62 (c) 63 (d) 61
  33. 33.What is the average of 44, 28, 26 and 26? (a) 31 (b) 33 (c) 30 (d) 32
  34. 34.What is the average of 38, 35, 14, 18 and 20? (a) 24 (b) 27 (c) 26 (d) 25
  35. 35.What is the average of all the whole numbers from 53 to 87? (a) 17 (b) 34 (c) 71 (d) 70
  36. 36.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 21 (b) 22 (c) 77 (d) 36
  37. 37.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 44 (c) 89 (d) 40
  38. 38.What is the average of all the whole numbers from 33 to 73? (a) 53 (b) 40 (c) 20 (d) 54
  39. 39.What is the average of all the whole numbers from 6 to 28? (a) 22 (b) 11 (c) 17 (d) 18
  40. 40.What is the average of 62, 69, 72, 62 and 120? (a) 77 (b) 78 (c) 76 (d) 79

Answer key

  1. 18
  2. 16
  3. 98
  4. 27
  5. 28
  6. 36
  7. 41
  8. 8
  9. 109
  10. 64
  11. 28
  12. 54
  13. 46
  14. 74
  15. 44
  16. 92
  17. 31
  18. 73
  19. 21
  20. 69
  21. 41
  22. 78
  23. 70
  24. 14
  25. 56
  26. 33
  27. 55
  28. 70
  29. 26
  30. 70
  31. 37
  32. 62
  33. 31
  34. 25
  35. 70
  36. 21
  37. 40
  38. 53
  39. 17
  40. 77

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