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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 244 · 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 62, 51, 51 and 28? (a) 47 (b) 48 (c) 49 (d) 64
  2. 2.What is the average of all the whole numbers from 38 to 78? (a) 20 (b) 40 (c) 58 (d) 59
  3. 3.What is the average of 61, 74, 61 and 88? (a) 72 (b) 70 (c) 73 (d) 71
  4. 4.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 98 (b) 74 (c) 40 (d) 66
  5. 5.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 74 (b) 58 (c) 54 (d) 24
  6. 6.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 24 (b) 38 (c) 41 (d) 21
  7. 7.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 30 (c) 53 (d) 80
  8. 8.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 65 (c) 45 (d) 30
  9. 9.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 20 (b) 46 (c) 62 (d) 44
  10. 10.What is the average of all the whole numbers from 19 to 53? (a) 36 (b) 34 (c) 17 (d) 37
  11. 11.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 46 (b) 16 (c) 35 (d) 27
  12. 12.What is the average of 11, 7, 20 and 50? (a) 23 (b) 21 (c) 24 (d) 22
  13. 13.What is the average of 46, 59, 69 and 58? (a) 60 (b) 57 (c) 58 (d) 59
  14. 14.What is the average of 31, 34, 23 and 16? (a) 27 (b) 26 (c) 28 (d) 25
  15. 15.What is the average of all the whole numbers from 53 to 77? (a) 65 (b) 12 (c) 66 (d) 24
  16. 16.What is the average of all the whole numbers from 44 to 68? (a) 56 (b) 57 (c) 24 (d) 12
  17. 17.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 50 (c) 10 (d) 56
  18. 18.What is the average of 75, 70, 55, 56 and 84? (a) 85 (b) 68 (c) 69 (d) 67
  19. 19.What is the average of all the whole numbers from 51 to 65? (a) 59 (b) 14 (c) 58 (d) 7
  20. 20.What is the average of 56, 54, 47, 73, 61 and 63? (a) 61 (b) 58 (c) 59 (d) 60
  21. 21.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 26 (b) 16 (c) 10 (d) 20
  22. 22.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 2 (b) 3 (c) 16 (d) 34
  23. 23.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 41 (c) 57 (d) 24
  24. 24.What is the average of 80, 56, 61, 69, 64 and 60? (a) 78 (b) 65 (c) 64 (d) 66
  25. 25.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 58 (b) 14 (c) 90 (d) 46
  26. 26.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 8 (b) 80 (c) 47 (d) 41
  27. 27.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 18 (c) 6 (d) 13
  28. 28.What is the average of 31, 9, 20, 7, 34 and 31? (a) 24 (b) 22 (c) 21 (d) 23
  29. 29.What is the average of 30, 35, 19, 30 and 1? (a) 22 (b) 24 (c) 25 (d) 23
  30. 30.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 20 (b) 77 (c) 65 (d) 61
  31. 31.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 15 (b) 25 (c) 37 (d) 28
  32. 32.What is the average of all the whole numbers from 53 to 59? (a) 6 (b) 57 (c) 3 (d) 56
  33. 33.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 43 (c) 68 (d) 10
  34. 34.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 12 (b) 92 (c) 47 (d) 57
  35. 35.What is the average of 82, 75, 78, 61 and 84? (a) 95 (b) 77 (c) 75 (d) 76
  36. 36.What is the average of 55, 52, 29 and 28? (a) 40 (b) 42 (c) 43 (d) 41
  37. 37.What is the average of 44, 49, 54 and 49? (a) 48 (b) 51 (c) 50 (d) 49
  38. 38.What is the average of all the whole numbers from 14 to 40? (a) 28 (b) 13 (c) 26 (d) 27
  39. 39.What is the average of 18, 21, 44, 38 and 29? (a) 31 (b) 32 (c) 29 (d) 30
  40. 40.What is the average of all the whole numbers from 16 to 42? (a) 13 (b) 29 (c) 30 (d) 26

Answer key

  1. 48
  2. 58
  3. 71
  4. 98
  5. 74
  6. 41
  7. 80
  8. 65
  9. 62
  10. 36
  11. 46
  12. 22
  13. 58
  14. 26
  15. 65
  16. 56
  17. 56
  18. 68
  19. 58
  20. 59
  21. 26
  22. 2
  23. 57
  24. 65
  25. 58
  26. 47
  27. 18
  28. 22
  29. 23
  30. 77
  31. 37
  32. 56
  33. 43
  34. 57
  35. 76
  36. 41
  37. 49
  38. 27
  39. 30
  40. 29

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