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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 817 · 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 58 to 80? (a) 69 (b) 11 (c) 22 (d) 70
  2. 2.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 18 (c) 33 (d) 32
  3. 3.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 36 (c) 17 (d) 30
  4. 4.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 63 (b) 120 (c) 71 (d) 64
  5. 5.What is the average of all the whole numbers from 53 to 77? (a) 66 (b) 24 (c) 12 (d) 65
  6. 6.What is the average of all the whole numbers from 17 to 39? (a) 22 (b) 11 (c) 29 (d) 28
  7. 7.What is the average of all the whole numbers from 24 to 58? (a) 34 (b) 42 (c) 41 (d) 17
  8. 8.What is the average of 88, 85, 86 and 33? (a) 74 (b) 75 (c) 73 (d) 72
  9. 9.What is the average of 45, 15, 19 and 41? (a) 31 (b) 30 (c) 29 (d) 40
  10. 10.What is the average of 57, 38, 29, 36 and 60? (a) 45 (b) 43 (c) 44 (d) 55
  11. 11.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) 16 (c) 5 (d) 4
  12. 12.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 22 (c) 29 (d) 20
  13. 13.What is the average of all the whole numbers from 20 to 26? (a) 3 (b) 6 (c) 24 (d) 23
  14. 14.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 39 (b) 80 (c) 28 (d) 27
  15. 15.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 41 (c) 12 (d) 61
  16. 16.What is the average of all the whole numbers from 5 to 11? (a) 6 (b) 9 (c) 3 (d) 8
  17. 17.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 31 (d) 55
  18. 18.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 94 (b) 31 (c) 70 (d) 38
  19. 19.What is the average of all the whole numbers from 43 to 69? (a) 57 (b) 26 (c) 56 (d) 13
  20. 20.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 45 (b) 31 (c) 29 (d) 18
  21. 21.What is the average of 80, 54, 78, 54 and 59? (a) 64 (b) 66 (c) 65 (d) 67
  22. 22.What is the average of 13, 20, 42, 17 and 43? (a) 28 (b) 29 (c) 26 (d) 27
  23. 23.What is the average of 41, 40, 20 and 23? (a) 32 (b) 33 (c) 30 (d) 31
  24. 24.What is the average of 55, 62, 52, 67, 59 and 95? (a) 64 (b) 78 (c) 65 (d) 66
  25. 25.What is the average of 43, 39, 40, 59, 49 and 34? (a) 46 (b) 43 (c) 45 (d) 44
  26. 26.What is the average of all the whole numbers from 9 to 29? (a) 10 (b) 19 (c) 20 (d) 18
  27. 27.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 77 (c) 35 (d) 56
  28. 28.What is the average of 79, 66, 65, 78, 65 and 109? (a) 76 (b) 77 (c) 79 (d) 78
  29. 29.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 101 (b) 61 (c) 69 (d) 48
  30. 30.What is the average of 29, 37, 32, 20 and 57? (a) 36 (b) 34 (c) 37 (d) 35
  31. 31.What is the average of 56, 54, 52, 74 and 79? (a) 63 (b) 62 (c) 64 (d) 65
  32. 32.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 32 (b) 31 (c) 75 (d) 37
  33. 33.What is the average of 61, 69, 58 and 88? (a) 92 (b) 70 (c) 68 (d) 69
  34. 34.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 55 (c) 32 (d) 5
  35. 35.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 18 (b) 47 (c) 45 (d) 61
  36. 36.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 37 (c) 62 (d) 32
  37. 37.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 25 (b) 70 (c) 34 (d) 24
  38. 38.What is the average of all the whole numbers from 29 to 39? (a) 34 (b) 35 (c) 10 (d) 5
  39. 39.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 59? (a) 59 (b) 63 (c) 32 (d) 87
  40. 40.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 68 (c) 140 (d) 80

Answer key

  1. 69
  2. 32
  3. 36
  4. 120
  5. 65
  6. 28
  7. 41
  8. 73
  9. 30
  10. 44
  11. 4
  12. 29
  13. 23
  14. 27
  15. 41
  16. 8
  17. 55
  18. 94
  19. 56
  20. 45
  21. 65
  22. 27
  23. 31
  24. 65
  25. 44
  26. 19
  27. 77
  28. 77
  29. 101
  30. 35
  31. 63
  32. 31
  33. 69
  34. 32
  35. 61
  36. 62
  37. 24
  38. 34
  39. 87
  40. 140

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