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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 461 · 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 17 to 39? (a) 28 (b) 22 (c) 29 (d) 11
  2. 2.What is the average of 73, 50, 53 and 84? (a) 64 (b) 65 (c) 66 (d) 67
  3. 3.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 53 (c) 15 (d) 41
  4. 4.What is the average of all the whole numbers from 13 to 51? (a) 33 (b) 19 (c) 38 (d) 32
  5. 5.What is the average of 13, 32, 19 and 48? (a) 30 (b) 28 (c) 29 (d) 27
  6. 6.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 16 (c) 34 (d) 46
  7. 7.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 41 (c) 39 (d) 83
  8. 8.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 15 (c) 41 (d) 50
  9. 9.What is the average of 55, 75, 54, 54, 55 and 85? (a) 62 (b) 65 (c) 63 (d) 64
  10. 10.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 40 (c) 85 (d) 16
  11. 11.What is the average of 39, 34, 36 and 15? (a) 30 (b) 31 (c) 33 (d) 32
  12. 12.What is the average of 55, 82, 84, 72, 63 and 64? (a) 69 (b) 84 (c) 70 (d) 71
  13. 13.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 42 (b) 8 (c) 36 (d) 70
  14. 14.What is the average of all the whole numbers from 54 to 70? (a) 62 (b) 16 (c) 8 (d) 63
  15. 15.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 17 (c) 43 (d) 16
  16. 16.What is the average of all the whole numbers from 26 to 32? (a) 6 (b) 29 (c) 3 (d) 30
  17. 17.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 30 (c) 6 (d) 7
  18. 18.What is the average of 69, 54, 57, 44, 66 and 34? (a) 55 (b) 56 (c) 53 (d) 54
  19. 19.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 25 (b) 76 (c) 61 (d) 56
  20. 20.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 35 (b) 7 (c) 29 (d) 57
  21. 21.What is the average of all the whole numbers from 9 to 15? (a) 13 (b) 3 (c) 6 (d) 12
  22. 22.What is the average of all the whole numbers from 11 to 33? (a) 11 (b) 22 (c) 21 (d) 23
  23. 23.What is the average of all the whole numbers from 26 to 34? (a) 8 (b) 4 (c) 30 (d) 31
  24. 24.What is the average of all the whole numbers from 5 to 13? (a) 10 (b) 9 (c) 8 (d) 4
  25. 25.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 65 (c) 21 (d) 47
  26. 26.What is the average of 71, 63, 62, 73 and 76? (a) 68 (b) 71 (c) 70 (d) 69
  27. 27.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 69 (c) 94 (d) 24
  28. 28.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 14 (c) 8 (d) 20
  29. 29.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 29 (c) 28 (d) 83
  30. 30.What is the average of all the whole numbers from 24 to 34? (a) 5 (b) 29 (c) 30 (d) 10
  31. 31.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 67 (c) 40 (d) 30
  32. 32.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 20 (c) 16 (d) 24
  33. 33.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 43 (c) 42 (d) 15
  34. 34.What is the average of 75, 79, 69, 78 and 49? (a) 71 (b) 72 (c) 70 (d) 69
  35. 35.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 6 (c) 26 (d) 25
  36. 36.What is the average of all the whole numbers from 21 to 51? (a) 30 (b) 36 (c) 37 (d) 15
  37. 37.What is the average of 47, 51, 51 and 83? (a) 59 (b) 58 (c) 60 (d) 57
  38. 38.What is the average of 14, 17, 28 and 45? (a) 26 (b) 25 (c) 27 (d) 28
  39. 39.What is the average of 47, 65, 53 and 35? (a) 49 (b) 51 (c) 52 (d) 50
  40. 40.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 45 (b) 66 (c) 101 (d) 61

Answer key

  1. 28
  2. 65
  3. 53
  4. 32
  5. 28
  6. 46
  7. 38
  8. 50
  9. 63
  10. 15
  11. 31
  12. 70
  13. 42
  14. 62
  15. 16
  16. 29
  17. 6
  18. 54
  19. 76
  20. 35
  21. 12
  22. 22
  23. 30
  24. 9
  25. 65
  26. 69
  27. 69
  28. 20
  29. 28
  30. 29
  31. 67
  32. 24
  33. 42
  34. 70
  35. 25
  36. 36
  37. 58
  38. 26
  39. 50
  40. 101

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