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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 865 · 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 10, 11, 28, 13, 26 and 50? (a) 23 (b) 25 (c) 24 (d) 22
  2. 2.What is the average of 22, 16, 27 and 15? (a) 19 (b) 21 (c) 22 (d) 20
  3. 3.What is the average of 18, 16, 23, 36, 45 and 42? (a) 29 (b) 31 (c) 36 (d) 30
  4. 4.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 10 (b) 82 (c) 50 (d) 42
  5. 5.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 118 (c) 46 (d) 80
  6. 6.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 54 (b) 28 (c) 50 (d) 74
  7. 7.What is the average of all the whole numbers from 36 to 68? (a) 32 (b) 53 (c) 52 (d) 16
  8. 8.What is the average of 53, 50, 68 and 85? (a) 65 (b) 63 (c) 64 (d) 66
  9. 9.What is the average of 50, 27, 21, 22, 26 and 70? (a) 36 (b) 37 (c) 35 (d) 38
  10. 10.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 63 (b) 40 (c) 51 (d) 28
  11. 11.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 8 (c) 54 (d) 34
  12. 12.What is the average of 32, 45, 28 and 19? (a) 30 (b) 33 (c) 32 (d) 31
  13. 13.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 22? (a) 32 (b) 12 (c) 24 (d) 22
  14. 14.What is the average of 5, 23, 18 and 34? (a) 21 (b) 22 (c) 20 (d) 19
  15. 15.What is the average of all the whole numbers from 32 to 62? (a) 15 (b) 47 (c) 48 (d) 30
  16. 16.What is the average of 34, 39, 35, 33 and 9? (a) 30 (b) 29 (c) 32 (d) 31
  17. 17.What is the average of all the whole numbers from 23 to 39? (a) 31 (b) 32 (c) 8 (d) 16
  18. 18.What is the average of 50, 43, 46, 47 and 94? (a) 70 (b) 57 (c) 55 (d) 56
  19. 19.What is the average of 65, 68, 54, 45, 54 and 56? (a) 59 (b) 56 (c) 58 (d) 57
  20. 20.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 11 (c) 4 (d) 21
  21. 21.What is the average of all the whole numbers from 42 to 54? (a) 6 (b) 48 (c) 12 (d) 49
  22. 22.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 30 (c) 31 (d) 43
  23. 23.What is the average of 80, 63, 76 and 93? (a) 79 (b) 104 (c) 78 (d) 77
  24. 24.What is the average of all the whole numbers from 41 to 61? (a) 20 (b) 10 (c) 52 (d) 51
  25. 25.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 47 (b) 4 (c) 27 (d) 24
  26. 26.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 49 (b) 31 (c) 34 (d) 21
  27. 27.What is the average of all the whole numbers from 18 to 32? (a) 7 (b) 25 (c) 14 (d) 26
  28. 28.What is the average of 77, 65, 81 and 97? (a) 81 (b) 79 (c) 82 (d) 80
  29. 29.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 16 (b) 51 (c) 55 (d) 63
  30. 30.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 12 (b) 51 (c) 42 (d) 45
  31. 31.What is the average of all the whole numbers from 24 to 50? (a) 13 (b) 26 (c) 37 (d) 38
  32. 32.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 24? (a) 24 (b) 39 (c) 18 (d) 27
  33. 33.What is the average of 53, 35, 33, 32 and 47? (a) 40 (b) 50 (c) 41 (d) 39
  34. 34.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 37 (c) 21 (d) 46
  35. 35.What is the average of all the whole numbers from 39 to 53? (a) 7 (b) 47 (c) 46 (d) 14
  36. 36.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 9 (c) 18 (d) 53
  37. 37.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 30 (c) 81 (d) 57
  38. 38.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 77 (b) 53 (c) 30 (d) 50
  39. 39.What is the average of all the whole numbers from 54 to 70? (a) 63 (b) 8 (c) 16 (d) 62
  40. 40.What is the average of 57, 44, 44, 28 and 37? (a) 44 (b) 41 (c) 42 (d) 43

Answer key

  1. 23
  2. 20
  3. 30
  4. 50
  5. 118
  6. 74
  7. 52
  8. 64
  9. 36
  10. 63
  11. 34
  12. 31
  13. 32
  14. 20
  15. 47
  16. 30
  17. 31
  18. 56
  19. 57
  20. 14
  21. 48
  22. 43
  23. 78
  24. 51
  25. 27
  26. 49
  27. 25
  28. 80
  29. 63
  30. 51
  31. 37
  32. 39
  33. 40
  34. 46
  35. 46
  36. 53
  37. 81
  38. 77
  39. 62
  40. 42

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