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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 64 · 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 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 55 (c) 54 (d) 30
  2. 2.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 16 (b) 2 (c) 37 (d) 1
  3. 3.What is the average of all the whole numbers from 7 to 39? (a) 23 (b) 16 (c) 32 (d) 24
  4. 4.What is the average of 47, 57, 70, 72, 57 and 69? (a) 64 (b) 61 (c) 62 (d) 63
  5. 5.What is the average of all the whole numbers from 54 to 80? (a) 26 (b) 68 (c) 67 (d) 13
  6. 6.What is the average of all the whole numbers from 58 to 94? (a) 36 (b) 77 (c) 76 (d) 18
  7. 7.What is the average of 73, 51, 69, 49 and 53? (a) 59 (b) 58 (c) 61 (d) 60
  8. 8.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 36 (c) 37 (d) 20
  9. 9.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 22 (c) 4 (d) 37
  10. 10.What is the average of 61, 52, 48, 55, 75 and 75? (a) 61 (b) 60 (c) 63 (d) 62
  11. 11.What is the average of all the whole numbers from 50 to 80? (a) 66 (b) 15 (c) 65 (d) 30
  12. 12.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 35 (c) 38 (d) 77
  13. 13.What is the average of all the whole numbers from 5 to 11? (a) 8 (b) 3 (c) 6 (d) 9
  14. 14.What is the average of all the whole numbers from 36 to 66? (a) 30 (b) 51 (c) 15 (d) 52
  15. 15.What is the average of 25, 24, 22, 22 and 87? (a) 45 (b) 37 (c) 36 (d) 35
  16. 16.What is the average of all the whole numbers from 22 to 32? (a) 5 (b) 27 (c) 28 (d) 10
  17. 17.What is the average of all the whole numbers from 11 to 43? (a) 16 (b) 28 (c) 27 (d) 32
  18. 18.What is the average of 65, 63, 54, 76 and 72? (a) 67 (b) 68 (c) 66 (d) 65
  19. 19.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 57 (b) 55 (c) 12 (d) 65
  20. 20.What is the average of 28, 44, 25, 35 and 48? (a) 45 (b) 35 (c) 37 (d) 36
  21. 21.What is the average of 30, 56, 59, 33 and 42? (a) 43 (b) 55 (c) 45 (d) 44
  22. 22.What is the average of 54, 46, 59, 53 and 38? (a) 50 (b) 51 (c) 49 (d) 52
  23. 23.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 8 (b) 61 (c) 55 (d) 57
  24. 24.What is the average of all the whole numbers from 52 to 64? (a) 12 (b) 58 (c) 59 (d) 6
  25. 25.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 87 (c) 56 (d) 45
  26. 26.What is the average of all the whole numbers from 24 to 36? (a) 30 (b) 12 (c) 31 (d) 6
  27. 27.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 40 (c) 70 (d) 94
  28. 28.What is the average of 62, 73, 74, 55 and 36? (a) 59 (b) 61 (c) 75 (d) 60
  29. 29.What is the average of 78, 65, 53, 62, 59 and 79? (a) 68 (b) 65 (c) 67 (d) 66
  30. 30.What is the average of all the whole numbers from 28 to 34? (a) 32 (b) 3 (c) 31 (d) 6
  31. 31.What is the average of 23, 14, 11 and 40? (a) 21 (b) 23 (c) 22 (d) 24
  32. 32.What is the average of 13, 10, 39, 12, 17 and 59? (a) 25 (b) 30 (c) 26 (d) 24
  33. 33.What is the average of all the whole numbers from 27 to 45? (a) 18 (b) 37 (c) 9 (d) 36
  34. 34.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 7 (b) 19 (c) 42 (d) 8
  35. 35.What is the average of all the whole numbers from 6 to 38? (a) 22 (b) 23 (c) 16 (d) 32
  36. 36.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 49 (b) 8 (c) 97 (d) 56
  37. 37.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 25 (b) 40 (c) 35 (d) 20
  38. 38.What is the average of 33, 38, 45 and 28? (a) 48 (b) 36 (c) 35 (d) 37
  39. 39.What is the average of 31, 49, 39 and 29? (a) 39 (b) 37 (c) 36 (d) 38
  40. 40.What is the average of 51, 36, 33, 35, 39 and 88? (a) 49 (b) 46 (c) 47 (d) 48

Answer key

  1. 54
  2. 1
  3. 23
  4. 62
  5. 67
  6. 76
  7. 59
  8. 36
  9. 22
  10. 61
  11. 65
  12. 35
  13. 8
  14. 51
  15. 36
  16. 27
  17. 27
  18. 66
  19. 65
  20. 36
  21. 44
  22. 50
  23. 61
  24. 58
  25. 87
  26. 30
  27. 94
  28. 60
  29. 66
  30. 31
  31. 22
  32. 25
  33. 36
  34. 7
  35. 22
  36. 56
  37. 40
  38. 36
  39. 37
  40. 47

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