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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 268 · 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 6 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 6 (b) 32 (c) 27 (d) 53
  2. 2.What is the average of all the whole numbers from 49 to 57? (a) 4 (b) 53 (c) 8 (d) 54
  3. 3.What is the average of all the whole numbers from 9 to 49? (a) 40 (b) 30 (c) 20 (d) 29
  4. 4.What is the average of all the whole numbers from 51 to 83? (a) 67 (b) 32 (c) 68 (d) 16
  5. 5.What is the average of 64, 74, 59, 58, 52 and 53? (a) 60 (b) 61 (c) 72 (d) 59
  6. 6.What is the average of 91, 69, 73 and 79? (a) 77 (b) 104 (c) 79 (d) 78
  7. 7.What is the average of all the whole numbers from 35 to 75? (a) 20 (b) 55 (c) 56 (d) 40
  8. 8.What is the average of 57, 55, 60 and 108? (a) 71 (b) 72 (c) 70 (d) 69
  9. 9.What is the average of all the whole numbers from 22 to 60? (a) 19 (b) 41 (c) 42 (d) 38
  10. 10.What is the average of all the whole numbers from 20 to 28? (a) 8 (b) 4 (c) 25 (d) 24
  11. 11.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 21 (c) 51 (d) 37
  12. 12.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 26 (c) 50 (d) 32
  13. 13.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 94 (b) 45 (c) 56 (d) 52
  14. 14.What is the average of 38, 35, 33, 59 and 65? (a) 45 (b) 47 (c) 48 (d) 46
  15. 15.What is the average of all the whole numbers from 58 to 68? (a) 5 (b) 10 (c) 63 (d) 64
  16. 16.What is the average of 78, 74, 78 and 62? (a) 75 (b) 72 (c) 74 (d) 73
  17. 17.What is the average of 53, 78, 54, 78 and 77? (a) 68 (b) 67 (c) 69 (d) 85
  18. 18.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 21 (c) 22 (d) 29
  19. 19.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 7 (c) 51 (d) 32
  20. 20.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 92 (c) 40 (d) 68
  21. 21.What is the average of all the whole numbers from 7 to 45? (a) 26 (b) 38 (c) 19 (d) 27
  22. 22.What is the average of all the whole numbers from 53 to 59? (a) 56 (b) 3 (c) 6 (d) 57
  23. 23.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 40 (c) 10 (d) 35
  24. 24.What is the average of all the whole numbers from 44 to 54? (a) 10 (b) 49 (c) 5 (d) 50
  25. 25.What is the average of 40, 30, 39, 46 and 5? (a) 33 (b) 31 (c) 40 (d) 32
  26. 26.What is the average of 52, 34, 63, 46 and 50? (a) 48 (b) 51 (c) 49 (d) 50
  27. 27.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 15 (b) 58 (c) 70 (d) 61
  28. 28.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 63 (b) 49 (c) 42 (d) 28
  29. 29.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 28 (c) 60 (d) 40
  30. 30.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 12 (b) 13 (c) 89 (d) 42
  31. 31.What is the average of 28, 50, 39, 22 and 46? (a) 39 (b) 36 (c) 37 (d) 38
  32. 32.What is the average of all the whole numbers from 8 to 46? (a) 28 (b) 19 (c) 27 (d) 38
  33. 33.What is the average of all the whole numbers from 42 to 62? (a) 10 (b) 20 (c) 53 (d) 52
  34. 34.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) 59 (b) 63 (c) 66 (d) 115
  35. 35.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 6 (c) 28 (d) 23
  36. 36.What is the average of 85, 70, 95 and 70? (a) 81 (b) 79 (c) 80 (d) 82
  37. 37.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 36 (c) 66 (d) 67
  38. 38.What is the average of 44, 52, 58, 41, 60 and 21? (a) 46 (b) 48 (c) 45 (d) 47
  39. 39.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 82 (b) 42 (c) 50 (d) 48
  40. 40.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 15 (c) 75 (d) 16

Answer key

  1. 32
  2. 53
  3. 29
  4. 67
  5. 60
  6. 78
  7. 55
  8. 70
  9. 41
  10. 24
  11. 51
  12. 50
  13. 94
  14. 46
  15. 63
  16. 73
  17. 68
  18. 21
  19. 32
  20. 92
  21. 26
  22. 56
  23. 40
  24. 49
  25. 32
  26. 49
  27. 70
  28. 63
  29. 60
  30. 12
  31. 37
  32. 27
  33. 52
  34. 115
  35. 28
  36. 80
  37. 66
  38. 46
  39. 82
  40. 15

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