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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 968 · 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 all the whole numbers from 32 to 56? (a) 24 (b) 12 (c) 44 (d) 45
  2. 2.What is the average of 62, 83, 68 and 91? (a) 75 (b) 76 (c) 77 (d) 78
  3. 3.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 35 (b) 4 (c) 16 (d) 5
  4. 4.What is the average of 70, 71, 70, 51 and 38? (a) 59 (b) 60 (c) 75 (d) 61
  5. 5.What is the average of 81, 70, 72, 80 and 32? (a) 68 (b) 69 (c) 67 (d) 66
  6. 6.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 50 (b) 54 (c) 94 (d) 49
  7. 7.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 38? (a) 63 (b) 45 (c) 94 (d) 38
  8. 8.What is the average of 59, 69, 64, 70 and 98? (a) 90 (b) 71 (c) 73 (d) 72
  9. 9.What is the average of 61, 67, 74, 68, 61 and 77? (a) 69 (b) 67 (c) 68 (d) 70
  10. 10.What is the average of 26, 28, 19, 28, 26 and 23? (a) 30 (b) 26 (c) 24 (d) 25
  11. 11.What is the average of 48, 59, 42, 44 and 32? (a) 47 (b) 44 (c) 45 (d) 46
  12. 12.What is the average of all the whole numbers from 54 to 68? (a) 7 (b) 62 (c) 14 (d) 61
  13. 13.What is the average of all the whole numbers from 15 to 25? (a) 5 (b) 10 (c) 21 (d) 20
  14. 14.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 54 (b) 42 (c) 20 (d) 38
  15. 15.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 54? (a) 54 (b) 59 (c) 35 (d) 84
  16. 16.What is the average of 9, 13, 13 and 49? (a) 21 (b) 28 (c) 22 (d) 20
  17. 17.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 13 (b) 25 (c) 14 (d) 54
  18. 18.What is the average of all the whole numbers from 38 to 58? (a) 48 (b) 49 (c) 20 (d) 10
  19. 19.What is the average of all the whole numbers from 17 to 41? (a) 29 (b) 24 (c) 30 (d) 12
  20. 20.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 49 (b) 37 (c) 14 (d) 72
  21. 21.What is the average of 36, 43, 21, 24 and 41? (a) 35 (b) 33 (c) 34 (d) 32
  22. 22.What is the average of 44, 49, 39 and 56? (a) 49 (b) 47 (c) 48 (d) 46
  23. 23.What is the average of all the whole numbers from 53 to 59? (a) 3 (b) 56 (c) 6 (d) 57
  24. 24.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 25 (b) 26 (c) 94 (d) 45
  25. 25.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 20 (b) 54 (c) 38 (d) 72
  26. 26.What is the average of all the whole numbers from 6 to 36? (a) 22 (b) 21 (c) 30 (d) 15
  27. 27.What is the average of all the whole numbers from 13 to 25? (a) 12 (b) 20 (c) 19 (d) 6
  28. 28.What is the average of all the whole numbers from 11 to 29? (a) 9 (b) 21 (c) 18 (d) 20
  29. 29.What is the average of 28, 32, 7, 18, 35 and 6? (a) 21 (b) 20 (c) 23 (d) 22
  30. 30.What is the average of 45, 21, 23 and 31? (a) 31 (b) 30 (c) 40 (d) 29
  31. 31.What is the average of all the whole numbers from 60 to 78? (a) 9 (b) 18 (c) 69 (d) 70
  32. 32.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 78 (b) 58 (c) 54 (d) 28
  33. 33.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 32 (d) 52
  34. 34.What is the average of 49, 45, 53 and 61? (a) 54 (b) 52 (c) 53 (d) 51
  35. 35.What is the average of 59, 60, 74 and 87? (a) 69 (b) 71 (c) 72 (d) 70
  36. 36.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 40 (c) 38 (d) 70
  37. 37.What is the average of 43, 65, 43, 43 and 66? (a) 53 (b) 51 (c) 65 (d) 52
  38. 38.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 29 (b) 32 (c) 57 (d) 4
  39. 39.What is the average of 62, 45, 64 and 53? (a) 55 (b) 56 (c) 57 (d) 58
  40. 40.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 72 (c) 44 (d) 42

Answer key

  1. 44
  2. 76
  3. 4
  4. 60
  5. 67
  6. 94
  7. 94
  8. 72
  9. 68
  10. 25
  11. 45
  12. 61
  13. 20
  14. 54
  15. 84
  16. 21
  17. 13
  18. 48
  19. 29
  20. 49
  21. 33
  22. 47
  23. 56
  24. 25
  25. 54
  26. 21
  27. 19
  28. 20
  29. 21
  30. 30
  31. 69
  32. 78
  33. 52
  34. 52
  35. 70
  36. 70
  37. 52
  38. 32
  39. 56
  40. 72

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