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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 814 · 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 22, 16, 9 and 41? (a) 22 (b) 21 (c) 24 (d) 23
  2. 2.What is the average of 56, 70, 71, 67 and 66? (a) 67 (b) 68 (c) 65 (d) 66
  3. 3.What is the average of all the whole numbers from 9 to 21? (a) 12 (b) 15 (c) 6 (d) 16
  4. 4.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 28 (b) 16 (c) 17 (d) 60
  5. 5.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 49 (c) 26 (d) 50
  6. 6.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 40 (b) 33 (c) 68 (d) 38
  7. 7.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 24 (b) 79 (c) 58 (d) 61
  8. 8.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 21 (b) 22 (c) 68 (d) 33
  9. 9.What is the average of all the whole numbers from 26 to 54? (a) 14 (b) 28 (c) 41 (d) 40
  10. 10.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 27 (b) 34 (c) 58 (d) 37
  11. 11.What is the average of all the whole numbers from 24 to 50? (a) 13 (b) 26 (c) 37 (d) 38
  12. 12.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 39 (c) 12 (d) 48
  13. 13.What is the average of 51, 46, 32, 43, 32 and 42? (a) 40 (b) 41 (c) 42 (d) 43
  14. 14.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 28 (c) 27 (d) 31
  15. 15.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 71 (c) 41 (d) 6
  16. 16.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 32 (b) 16 (c) 34 (d) 18
  17. 17.What is the average of all the whole numbers from 33 to 49? (a) 41 (b) 8 (c) 42 (d) 16
  18. 18.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 30 (b) 78 (c) 54 (d) 51
  19. 19.What is the average of all the whole numbers from 49 to 69? (a) 59 (b) 20 (c) 10 (d) 60
  20. 20.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 14 (c) 26 (d) 28
  21. 21.What is the average of 57, 48, 61 and 30? (a) 48 (b) 50 (c) 49 (d) 51
  22. 22.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 59 (c) 60 (d) 17
  23. 23.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 49 (b) 43 (c) 99 (d) 42
  24. 24.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 37 (c) 40 (d) 69
  25. 25.What is the average of all the whole numbers from 17 to 51? (a) 33 (b) 34 (c) 35 (d) 17
  26. 26.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 85 (b) 41 (c) 32 (d) 33
  27. 27.What is the average of 32, 54, 34, 45 and 65? (a) 46 (b) 45 (c) 47 (d) 48
  28. 28.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 63 (b) 29 (c) 5 (d) 4
  29. 29.What is the average of 54, 60, 41, 39, 48 and 70? (a) 52 (b) 51 (c) 53 (d) 54
  30. 30.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 44 (b) 87 (c) 6 (d) 49
  31. 31.What is the average of 13, 34, 28 and 9? (a) 20 (b) 28 (c) 21 (d) 22
  32. 32.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 14 (c) 51 (d) 63
  33. 33.What is the average of all the whole numbers from 36 to 58? (a) 48 (b) 11 (c) 47 (d) 22
  34. 34.What is the average of all the whole numbers from 13 to 49? (a) 32 (b) 36 (c) 18 (d) 31
  35. 35.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 116 (c) 56 (d) 68
  36. 36.What is the average of 31, 24, 30 and 19? (a) 27 (b) 25 (c) 28 (d) 26
  37. 37.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 40 (b) 30 (c) 25 (d) 15
  38. 38.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 21 (c) 29 (d) 7
  39. 39.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 60 (c) 10 (d) 58
  40. 40.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 41 (b) 12 (c) 31 (d) 22

Answer key

  1. 22
  2. 66
  3. 15
  4. 16
  5. 49
  6. 68
  7. 79
  8. 21
  9. 40
  10. 58
  11. 37
  12. 48
  13. 41
  14. 52
  15. 41
  16. 32
  17. 41
  18. 78
  19. 59
  20. 38
  21. 49
  22. 59
  23. 42
  24. 69
  25. 34
  26. 32
  27. 46
  28. 4
  29. 52
  30. 49
  31. 21
  32. 63
  33. 47
  34. 31
  35. 116
  36. 26
  37. 40
  38. 21
  39. 66
  40. 31

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