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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 236 · 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 18, 36, 10, 15 and 46? (a) 26 (b) 24 (c) 27 (d) 25
  2. 2.What is the average of all the whole numbers from 45 to 81? (a) 63 (b) 64 (c) 36 (d) 18
  3. 3.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 31 (c) 75 (d) 32
  4. 4.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 72 (c) 108 (d) 48
  5. 5.What is the average of 47, 45, 36, 29 and 23? (a) 35 (b) 37 (c) 36 (d) 45
  6. 6.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 8 (b) 11 (c) 9 (d) 23
  7. 7.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 17 (c) 60 (d) 59
  8. 8.What is the average of all the whole numbers from 29 to 45? (a) 37 (b) 16 (c) 38 (d) 8
  9. 9.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 90 (b) 50 (c) 45 (d) 91
  10. 10.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 28 (b) 44 (c) 84 (d) 68
  11. 11.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 17 (c) 15 (d) 22
  12. 12.What is the average of all the whole numbers from 28 to 46? (a) 9 (b) 37 (c) 18 (d) 38
  13. 13.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 78 (b) 58 (c) 30 (d) 53
  14. 14.What is the average of all the whole numbers from 5 to 43? (a) 25 (b) 24 (c) 38 (d) 19
  15. 15.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 61 (c) 18 (d) 17
  16. 16.What is the average of all the whole numbers from 22 to 56? (a) 39 (b) 40 (c) 34 (d) 17
  17. 17.What is the average of 89, 77, 69, 69 and 66? (a) 73 (b) 75 (c) 76 (d) 74
  18. 18.What is the average of 47, 63, 35, 58, 39 and 46? (a) 49 (b) 47 (c) 48 (d) 50
  19. 19.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 11 (b) 17 (c) 12 (d) 36
  20. 20.What is the average of all the whole numbers from 11 to 23? (a) 17 (b) 12 (c) 18 (d) 6
  21. 21.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 29? (a) 34 (b) 29 (c) 50 (d) 74
  22. 22.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 59 (c) 10 (d) 57
  23. 23.What is the average of all the whole numbers from 26 to 46? (a) 20 (b) 10 (c) 36 (d) 37
  24. 24.What is the average of 29, 45, 53, 33 and 50? (a) 44 (b) 42 (c) 43 (d) 41
  25. 25.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 3 (b) 4 (c) 24 (d) 11
  26. 26.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 4 (b) 11 (c) 23 (d) 5
  27. 27.What is the average of all the whole numbers from 8 to 32? (a) 12 (b) 24 (c) 20 (d) 21
  28. 28.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 23 (c) 20 (d) 4
  29. 29.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 42 (c) 98 (d) 63
  30. 30.What is the average of 63, 67, 61 and 69? (a) 64 (b) 65 (c) 67 (d) 66
  31. 31.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 33 (b) 12 (c) 25 (d) 23
  32. 32.What is the average of all the whole numbers from 44 to 70? (a) 58 (b) 26 (c) 13 (d) 57
  33. 33.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 28 (c) 61 (d) 70
  34. 34.What is the average of 25, 26, 38 and 47? (a) 35 (b) 33 (c) 36 (d) 34
  35. 35.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 54 (c) 86 (d) 40
  36. 36.What is the average of all the whole numbers from 32 to 56? (a) 44 (b) 12 (c) 24 (d) 45
  37. 37.What is the average of all the whole numbers from 40 to 56? (a) 49 (b) 16 (c) 8 (d) 48
  38. 38.What is the average of 79, 71, 81 and 89? (a) 80 (b) 79 (c) 82 (d) 81
  39. 39.What is the average of 28, 23, 40, 42, 23 and 30? (a) 30 (b) 33 (c) 32 (d) 31
  40. 40.What is the average of 63, 74, 52, 50 and 61? (a) 75 (b) 59 (c) 60 (d) 61

Answer key

  1. 25
  2. 63
  3. 31
  4. 108
  5. 36
  6. 8
  7. 59
  8. 37
  9. 90
  10. 68
  11. 22
  12. 37
  13. 78
  14. 24
  15. 17
  16. 39
  17. 74
  18. 48
  19. 11
  20. 17
  21. 74
  22. 65
  23. 36
  24. 42
  25. 3
  26. 4
  27. 20
  28. 23
  29. 98
  30. 65
  31. 33
  32. 57
  33. 61
  34. 34
  35. 86
  36. 44
  37. 48
  38. 80
  39. 31
  40. 60

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