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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 538 · 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.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 100 (b) 42 (c) 72 (d) 65
  2. 2.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 27 (c) 33 (d) 10
  3. 3.What is the average of all the whole numbers from 51 to 67? (a) 8 (b) 60 (c) 59 (d) 16
  4. 4.What is the average of 49, 36, 45, 47 and 8? (a) 39 (b) 36 (c) 38 (d) 37
  5. 5.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 101 (b) 49 (c) 34 (d) 35
  6. 6.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 32? (a) 34 (b) 10 (c) 32 (d) 40
  7. 7.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 101 (c) 45 (d) 50
  8. 8.What is the average of 47, 61, 44, 37 and 61? (a) 51 (b) 52 (c) 49 (d) 50
  9. 9.What is the average of all the whole numbers from 45 to 73? (a) 28 (b) 60 (c) 14 (d) 59
  10. 10.What is the average of all the whole numbers from 60 to 74? (a) 14 (b) 67 (c) 7 (d) 68
  11. 11.What is the average of all the whole numbers from 9 to 43? (a) 17 (b) 34 (c) 27 (d) 26
  12. 12.What is the average of all the whole numbers from 18 to 36? (a) 27 (b) 28 (c) 9 (d) 18
  13. 13.What is the average of all the whole numbers from 29 to 61? (a) 46 (b) 16 (c) 32 (d) 45
  14. 14.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 84 (c) 60 (d) 30
  15. 15.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 40 (b) 83 (c) 53 (d) 48
  16. 16.What is the average of 46, 63, 65, 37 and 49? (a) 53 (b) 52 (c) 51 (d) 65
  17. 17.What is the average of 16, 40, 32 and 36? (a) 32 (b) 30 (c) 31 (d) 33
  18. 18.What is the average of 47, 23, 34, 27 and 44? (a) 37 (b) 35 (c) 36 (d) 34
  19. 19.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 16 (b) 68 (c) 76 (d) 64
  20. 20.What is the average of 13, 30, 27, 22, 12 and 34? (a) 22 (b) 24 (c) 23 (d) 25
  21. 21.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 16 (c) 26 (d) 24
  22. 22.What is the average of all the whole numbers from 17 to 45? (a) 14 (b) 31 (c) 28 (d) 32
  23. 23.What is the average of 44, 52, 48, 63 and 88? (a) 60 (b) 61 (c) 58 (d) 59
  24. 24.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 41? (a) 59 (b) 24 (c) 47 (d) 41
  25. 25.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 93 (c) 37 (d) 36
  26. 26.What is the average of 72, 63, 62, 72 and 51? (a) 80 (b) 65 (c) 64 (d) 63
  27. 27.What is the average of all the whole numbers from 31 to 55? (a) 12 (b) 44 (c) 43 (d) 24
  28. 28.What is the average of 40, 47, 63, 54 and 66? (a) 55 (b) 54 (c) 53 (d) 56
  29. 29.What is the average of all the whole numbers from 34 to 42? (a) 39 (b) 38 (c) 8 (d) 4
  30. 30.What is the average of all the whole numbers from 31 to 59? (a) 45 (b) 28 (c) 46 (d) 14
  31. 31.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 42 (c) 20 (d) 57
  32. 32.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 20 (b) 49 (c) 51 (d) 67
  33. 33.What is the average of 35, 33, 32, 40, 23 and 41? (a) 33 (b) 36 (c) 35 (d) 34
  34. 34.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 53 (b) 41 (c) 35 (d) 23
  35. 35.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 15 (b) 7 (c) 6 (d) 33
  36. 36.What is the average of 86, 72, 87, 65 and 90? (a) 100 (b) 79 (c) 80 (d) 81
  37. 37.What is the average of all the whole numbers from 60 to 96? (a) 36 (b) 79 (c) 18 (d) 78
  38. 38.What is the average of all the whole numbers from 13 to 39? (a) 25 (b) 13 (c) 27 (d) 26
  39. 39.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 74 (b) 67 (c) 28 (d) 88
  40. 40.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 16 (b) 45 (c) 57 (d) 49

Answer key

  1. 100
  2. 33
  3. 59
  4. 37
  5. 34
  6. 40
  7. 45
  8. 50
  9. 59
  10. 67
  11. 26
  12. 27
  13. 45
  14. 84
  15. 83
  16. 52
  17. 31
  18. 35
  19. 76
  20. 23
  21. 26
  22. 31
  23. 59
  24. 59
  25. 36
  26. 64
  27. 43
  28. 54
  29. 38
  30. 45
  31. 57
  32. 67
  33. 34
  34. 53
  35. 6
  36. 80
  37. 78
  38. 26
  39. 88
  40. 57

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