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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 803 · 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 57 to 67? (a) 5 (b) 63 (c) 62 (d) 10
  2. 2.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 4 (b) 19 (c) 37 (d) 22
  3. 3.What is the average of all the whole numbers from 50 to 88? (a) 69 (b) 19 (c) 70 (d) 38
  4. 4.What is the average of 58, 59, 60, 39, 45 and 9? (a) 46 (b) 54 (c) 45 (d) 44
  5. 5.What is the average of all the whole numbers from 32 to 46? (a) 7 (b) 40 (c) 14 (d) 39
  6. 6.What is the average of 17, 26, 29, 22, 27 and 5? (a) 22 (b) 23 (c) 21 (d) 20
  7. 7.What is the average of 21, 21, 39, 22 and 52? (a) 31 (b) 32 (c) 30 (d) 33
  8. 8.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 16 (c) 15 (d) 41
  9. 9.What is the average of 33, 32, 25, 27 and 73? (a) 37 (b) 39 (c) 40 (d) 38
  10. 10.What is the average of 22, 22, 27, 26, 29 and 78? (a) 33 (b) 34 (c) 35 (d) 36
  11. 11.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 59 (c) 28 (d) 73
  12. 12.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 40 (c) 34 (d) 35
  13. 13.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 32 (c) 47 (d) 59
  14. 14.What is the average of all the whole numbers from 43 to 63? (a) 53 (b) 54 (c) 20 (d) 10
  15. 15.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 10 (c) 42 (d) 40
  16. 16.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 16 (b) 43 (c) 41 (d) 55
  17. 17.What is the average of 32, 21, 23, 19 and 65? (a) 32 (b) 33 (c) 31 (d) 40
  18. 18.What is the average of 33, 33, 34, 51, 45 and 50? (a) 41 (b) 43 (c) 40 (d) 42
  19. 19.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 49 (b) 96 (c) 16 (d) 63
  20. 20.What is the average of all the whole numbers from 41 to 67? (a) 26 (b) 55 (c) 13 (d) 54
  21. 21.What is the average of all the whole numbers from 38 to 60? (a) 11 (b) 49 (c) 22 (d) 50
  22. 22.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 27 (b) 12 (c) 4 (d) 3
  23. 23.What is the average of all the whole numbers from 23 to 59? (a) 18 (b) 42 (c) 41 (d) 36
  24. 24.What is the average of 65, 75, 69 and 43? (a) 62 (b) 64 (c) 84 (d) 63
  25. 25.What is the average of all the whole numbers from 38 to 62? (a) 51 (b) 12 (c) 50 (d) 24
  26. 26.What is the average of all the whole numbers from 44 to 76? (a) 61 (b) 32 (c) 16 (d) 60
  27. 27.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 10 (c) 41 (d) 39
  28. 28.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 67 (c) 72 (d) 123
  29. 29.What is the average of all the whole numbers from 53 to 81? (a) 67 (b) 28 (c) 68 (d) 14
  30. 30.What is the average of all the whole numbers from 35 to 47? (a) 42 (b) 6 (c) 41 (d) 12
  31. 31.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 39 (b) 8 (c) 46 (d) 77
  32. 32.What is the average of 45, 62, 46 and 75? (a) 76 (b) 58 (c) 57 (d) 56
  33. 33.What is the average of 53, 48, 30, 47 and 12? (a) 40 (b) 37 (c) 39 (d) 38
  34. 34.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 58 (b) 32 (c) 34 (d) 30
  35. 35.What is the average of all the whole numbers from 38 to 74? (a) 57 (b) 56 (c) 36 (d) 18
  36. 36.What is the average of 80, 65, 62 and 69? (a) 68 (b) 92 (c) 70 (d) 69
  37. 37.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 57? (a) 65 (b) 56 (c) 105 (d) 57
  38. 38.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 10 (b) 11 (c) 35 (d) 75
  39. 39.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 44 (b) 38 (c) 74 (d) 8
  40. 40.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 56 (b) 68 (c) 110 (d) 61

Answer key

  1. 62
  2. 22
  3. 69
  4. 45
  5. 39
  6. 21
  7. 31
  8. 15
  9. 38
  10. 34
  11. 73
  12. 34
  13. 47
  14. 53
  15. 48
  16. 55
  17. 32
  18. 41
  19. 63
  20. 54
  21. 49
  22. 3
  23. 41
  24. 63
  25. 50
  26. 60
  27. 47
  28. 123
  29. 67
  30. 41
  31. 46
  32. 57
  33. 38
  34. 58
  35. 56
  36. 69
  37. 105
  38. 10
  39. 44
  40. 110

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