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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 863 · 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 48, 39, 58 and 51? (a) 51 (b) 50 (c) 49 (d) 48
  2. 2.What is the average of 41, 51, 34 and 58? (a) 47 (b) 46 (c) 48 (d) 45
  3. 3.What is the average of 59, 60, 55, 58, 41 and 15? (a) 47 (b) 48 (c) 49 (d) 50
  4. 4.What is the average of 69, 79, 76 and 52? (a) 92 (b) 69 (c) 70 (d) 68
  5. 5.What is the average of all the whole numbers from 39 to 57? (a) 48 (b) 9 (c) 49 (d) 18
  6. 6.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 78 (b) 41 (c) 20 (d) 57
  7. 7.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 21 (b) 15 (c) 27 (d) 33
  8. 8.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 66 (b) 38 (c) 31 (d) 42
  9. 9.What is the average of 68, 47, 73, 69, 51 and 64? (a) 63 (b) 61 (c) 64 (d) 62
  10. 10.What is the average of all the whole numbers from 59 to 75? (a) 68 (b) 8 (c) 16 (d) 67
  11. 11.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 31 (c) 40 (d) 30
  12. 12.What is the average of 23, 10, 21 and 34? (a) 24 (b) 21 (c) 23 (d) 22
  13. 13.What is the average of all the whole numbers from 34 to 46? (a) 6 (b) 40 (c) 41 (d) 12
  14. 14.What is the average of all the whole numbers from 57 to 81? (a) 69 (b) 24 (c) 12 (d) 70
  15. 15.What is the average of all the whole numbers from 37 to 63? (a) 26 (b) 50 (c) 51 (d) 13
  16. 16.What is the average of all the whole numbers from 43 to 63? (a) 53 (b) 10 (c) 20 (d) 54
  17. 17.What is the average of all the whole numbers from 16 to 22? (a) 19 (b) 3 (c) 20 (d) 6
  18. 18.What is the average of 46, 40, 53, 50 and 36? (a) 44 (b) 45 (c) 46 (d) 47
  19. 19.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 49 (c) 28 (d) 24
  20. 20.What is the average of all the whole numbers from 20 to 60? (a) 39 (b) 40 (c) 41 (d) 20
  21. 21.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 54 (c) 55 (d) 10
  22. 22.What is the average of 79, 68, 57, 58 and 88? (a) 71 (b) 69 (c) 70 (d) 72
  23. 23.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 62 (c) 40 (d) 49
  24. 24.What is the average of 73, 63, 50 and 66? (a) 62 (b) 64 (c) 84 (d) 63
  25. 25.What is the average of 34, 31, 41, 58, 33 and 67? (a) 46 (b) 45 (c) 44 (d) 43
  26. 26.What is the average of 30, 38, 24 and 40? (a) 34 (b) 33 (c) 32 (d) 44
  27. 27.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 35 (b) 50 (c) 34 (d) 104
  28. 28.What is the average of 47, 60, 47, 58, 34 and 42? (a) 47 (b) 50 (c) 49 (d) 48
  29. 29.What is the average of 69, 64, 79 and 56? (a) 69 (b) 68 (c) 67 (d) 66
  30. 30.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 53 (c) 49 (d) 29
  31. 31.What is the average of all the whole numbers from 58 to 78? (a) 68 (b) 20 (c) 69 (d) 10
  32. 32.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 42 (b) 31 (c) 37 (d) 67
  33. 33.What is the average of 66, 56, 55, 40, 38 and 57? (a) 52 (b) 54 (c) 53 (d) 51
  34. 34.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 95 (b) 16 (c) 45 (d) 15
  35. 35.What is the average of 40, 61, 50, 54, 37 and 70? (a) 52 (b) 53 (c) 51 (d) 54
  36. 36.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 32 (b) 33 (c) 57 (d) 41
  37. 37.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 10 (b) 32 (c) 30 (d) 38
  38. 38.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 29? (a) 31 (b) 29 (c) 18 (d) 45
  39. 39.What is the average of 48, 40, 45, 47, 34 and 68? (a) 49 (b) 48 (c) 47 (d) 46
  40. 40.What is the average of all the whole numbers from 52 to 76? (a) 64 (b) 12 (c) 24 (d) 65

Answer key

  1. 49
  2. 46
  3. 48
  4. 69
  5. 48
  6. 57
  7. 33
  8. 66
  9. 62
  10. 67
  11. 30
  12. 22
  13. 40
  14. 69
  15. 50
  16. 53
  17. 19
  18. 45
  19. 49
  20. 40
  21. 54
  22. 70
  23. 62
  24. 63
  25. 44
  26. 33
  27. 34
  28. 48
  29. 67
  30. 49
  31. 68
  32. 67
  33. 52
  34. 15
  35. 52
  36. 57
  37. 38
  38. 45
  39. 47
  40. 64

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