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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 534 · 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 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 28 (b) 86 (c) 65 (d) 72
  2. 2.What is the average of all the whole numbers from 5 to 25? (a) 10 (b) 20 (c) 15 (d) 16
  3. 3.What is the average of all the whole numbers from 5 to 41? (a) 23 (b) 24 (c) 36 (d) 18
  4. 4.What is the average of all the whole numbers from 26 to 50? (a) 12 (b) 24 (c) 39 (d) 38
  5. 5.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 63 (b) 27 (c) 33 (d) 42
  6. 6.What is the average of all the whole numbers from 18 to 26? (a) 22 (b) 8 (c) 4 (d) 23
  7. 7.What is the average of 45, 31, 41, 32 and 46? (a) 38 (b) 40 (c) 41 (d) 39
  8. 8.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 49 (b) 105 (c) 72 (d) 41
  9. 9.What is the average of 58, 44, 32 and 46? (a) 44 (b) 46 (c) 60 (d) 45
  10. 10.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 8 (b) 19 (c) 17 (d) 10
  11. 11.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 8 (c) 23 (d) 9
  12. 12.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 99 (b) 42 (c) 69 (d) 63
  13. 13.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 37 (b) 89 (c) 38 (d) 44
  14. 14.What is the average of 20, 19, 40 and 25? (a) 28 (b) 25 (c) 27 (d) 26
  15. 15.What is the average of all the whole numbers from 57 to 67? (a) 5 (b) 10 (c) 63 (d) 62
  16. 16.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 2 (b) 47 (c) 21 (d) 1
  17. 17.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 18 (c) 43 (d) 17
  18. 18.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 22 (b) 39 (c) 57 (d) 40
  19. 19.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 30 (c) 24 (d) 37
  20. 20.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 24 (c) 71 (d) 53
  21. 21.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 86 (b) 62 (c) 36 (d) 56
  22. 22.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 21 (b) 61 (c) 46 (d) 43
  23. 23.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 6 (b) 7 (c) 34 (d) 16
  24. 24.What is the average of 48, 34, 27 and 43? (a) 39 (b) 37 (c) 40 (d) 38
  25. 25.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 18 (c) 30 (d) 45
  26. 26.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 52? (a) 64 (b) 14 (c) 52 (d) 54
  27. 27.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 4 (b) 23 (c) 15 (d) 12
  28. 28.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 15 (b) 31 (c) 59 (d) 43
  29. 29.What is the average of 54, 38, 59 and 45? (a) 51 (b) 48 (c) 50 (d) 49
  30. 30.What is the average of 32, 20, 19, 37, 36 and 42? (a) 31 (b) 32 (c) 33 (d) 30
  31. 31.What is the average of 67, 88, 72, 77, 64 and 82? (a) 76 (b) 75 (c) 90 (d) 74
  32. 32.What is the average of 94, 72, 94 and 60? (a) 79 (b) 82 (c) 80 (d) 81
  33. 33.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 46? (a) 46 (b) 54 (c) 40 (d) 78
  34. 34.What is the average of 81, 67, 83 and 85? (a) 80 (b) 79 (c) 81 (d) 78
  35. 35.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 48 (b) 70 (c) 34 (d) 28
  36. 36.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 49 (b) 35 (c) 33 (d) 19
  37. 37.What is the average of all the whole numbers from 12 to 48? (a) 18 (b) 31 (c) 36 (d) 30
  38. 38.What is the average of all the whole numbers from 57 to 87? (a) 15 (b) 73 (c) 30 (d) 72
  39. 39.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 95 (b) 15 (c) 61 (d) 49
  40. 40.What is the average of 62, 34, 36 and 64? (a) 49 (b) 51 (c) 50 (d) 48

Answer key

  1. 86
  2. 15
  3. 23
  4. 38
  5. 63
  6. 22
  7. 39
  8. 105
  9. 45
  10. 17
  11. 8
  12. 99
  13. 37
  14. 26
  15. 62
  16. 1
  17. 17
  18. 57
  19. 37
  20. 71
  21. 86
  22. 61
  23. 6
  24. 38
  25. 45
  26. 64
  27. 15
  28. 43
  29. 49
  30. 31
  31. 75
  32. 80
  33. 78
  34. 79
  35. 70
  36. 49
  37. 30
  38. 72
  39. 61
  40. 49

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