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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 87 · 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.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 35 (c) 16 (d) 49
  2. 2.What is the average of all the whole numbers from 36 to 46? (a) 10 (b) 5 (c) 42 (d) 41
  3. 3.What is the average of 31, 36, 58, 53 and 47? (a) 44 (b) 47 (c) 46 (d) 45
  4. 4.What is the average of all the whole numbers from 17 to 45? (a) 28 (b) 31 (c) 32 (d) 14
  5. 5.What is the average of 53, 45, 45 and 41? (a) 45 (b) 48 (c) 46 (d) 47
  6. 6.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 5 (c) 4 (d) 52
  7. 7.What is the average of 56, 76, 67, 50, 65 and 76? (a) 78 (b) 65 (c) 66 (d) 64
  8. 8.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 40 (c) 49 (d) 81
  9. 9.What is the average of 58, 73, 64, 73 and 22? (a) 59 (b) 57 (c) 58 (d) 60
  10. 10.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 19 (b) 35 (c) 18 (d) 34
  11. 11.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 35 (b) 68 (c) 47 (d) 40
  12. 12.What is the average of all the whole numbers from 9 to 31? (a) 11 (b) 22 (c) 21 (d) 20
  13. 13.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 10 (c) 35 (d) 33
  14. 14.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 68 (b) 15 (c) 59 (d) 56
  15. 15.What is the average of 21, 35, 30 and 30? (a) 30 (b) 31 (c) 28 (d) 29
  16. 16.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 36 (b) 46 (c) 78 (d) 50
  17. 17.What is the average of 10, 29, 15, 37 and 19? (a) 24 (b) 23 (c) 22 (d) 21
  18. 18.What is the average of all the whole numbers from 8 to 32? (a) 20 (b) 21 (c) 12 (d) 24
  19. 19.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 20 (c) 67 (d) 10
  20. 20.What is the average of 48, 51, 47, 41 and 93? (a) 57 (b) 55 (c) 70 (d) 56
  21. 21.What is the average of all the whole numbers from 26 to 36? (a) 31 (b) 32 (c) 5 (d) 10
  22. 22.What is the average of all the whole numbers from 48 to 64? (a) 16 (b) 57 (c) 8 (d) 56
  23. 23.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 57 (b) 20 (c) 39 (d) 41
  24. 24.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 29 (c) 71 (d) 28
  25. 25.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 4 (b) 43 (c) 22 (d) 25
  26. 26.What is the average of all the whole numbers from 36 to 76? (a) 56 (b) 57 (c) 40 (d) 20
  27. 27.What is the average of 81, 77, 84, 83 and 65? (a) 77 (b) 79 (c) 80 (d) 78
  28. 28.What is the average of 17, 33, 20 and 30? (a) 24 (b) 25 (c) 27 (d) 26
  29. 29.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 92 (b) 72 (c) 28 (d) 48
  30. 30.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 60 (b) 88 (c) 56 (d) 36
  31. 31.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 11 (b) 55 (c) 25 (d) 10
  32. 32.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 59 (c) 66 (d) 115
  33. 33.What is the average of 70, 61, 72, 73 and 89? (a) 72 (b) 73 (c) 74 (d) 75
  34. 34.What is the average of 12, 23, 14, 41, 17 and 49? (a) 27 (b) 25 (c) 26 (d) 28
  35. 35.What is the average of all the whole numbers from 23 to 35? (a) 30 (b) 29 (c) 6 (d) 12
  36. 36.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 84 (c) 44 (d) 60
  37. 37.What is the average of all the whole numbers from 16 to 32? (a) 8 (b) 16 (c) 25 (d) 24
  38. 38.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 18 (c) 9 (d) 8
  39. 39.What is the average of all the whole numbers from 14 to 26? (a) 12 (b) 6 (c) 20 (d) 21
  40. 40.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 15 (c) 54 (d) 66

Answer key

  1. 49
  2. 41
  3. 45
  4. 31
  5. 46
  6. 4
  7. 65
  8. 81
  9. 58
  10. 34
  11. 68
  12. 20
  13. 41
  14. 68
  15. 29
  16. 78
  17. 22
  18. 20
  19. 67
  20. 56
  21. 31
  22. 56
  23. 57
  24. 28
  25. 25
  26. 56
  27. 78
  28. 25
  29. 72
  30. 88
  31. 10
  32. 115
  33. 73
  34. 26
  35. 29
  36. 60
  37. 24
  38. 8
  39. 20
  40. 66

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