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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 794 · 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 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 12 (b) 40 (c) 46 (d) 37
  2. 2.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 60 (c) 61 (d) 30
  3. 3.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 110 (b) 54 (c) 62 (d) 64
  4. 4.What is the average of 41, 23, 24 and 56? (a) 36 (b) 37 (c) 48 (d) 35
  5. 5.What is the average of 31, 53, 35, 25, 49 and 41? (a) 39 (b) 41 (c) 40 (d) 38
  6. 6.What is the average of 30, 24, 32, 11 and 3? (a) 21 (b) 19 (c) 25 (d) 20
  7. 7.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 21 (b) 20 (c) 34 (d) 70
  8. 8.What is the average of all the whole numbers from 42 to 54? (a) 6 (b) 48 (c) 49 (d) 12
  9. 9.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 87 (b) 45 (c) 38 (d) 56
  10. 10.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 26? (a) 47 (b) 24 (c) 26 (d) 29
  11. 11.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 23 (b) 19 (c) 11 (d) 15
  12. 12.What is the average of all the whole numbers from 15 to 53? (a) 38 (b) 34 (c) 35 (d) 19
  13. 13.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 47 (b) 28 (c) 5 (d) 24
  14. 14.What is the average of 89, 86, 79, 74, 80 and 48? (a) 76 (b) 78 (c) 75 (d) 77
  15. 15.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 53? (a) 69 (b) 18 (c) 55 (d) 53
  16. 16.What is the average of 59, 68, 70 and 31? (a) 56 (b) 58 (c) 57 (d) 76
  17. 17.What is the average of 34, 39, 45, 25 and 12? (a) 32 (b) 31 (c) 33 (d) 30
  18. 18.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 17 (c) 18 (d) 45
  19. 19.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 49 (b) 54 (c) 96 (d) 61
  20. 20.What is the average of all the whole numbers from 5 to 39? (a) 34 (b) 22 (c) 23 (d) 17
  21. 21.What is the average of all the whole numbers from 29 to 55? (a) 43 (b) 26 (c) 42 (d) 13
  22. 22.What is the average of 57, 32, 52 and 39? (a) 44 (b) 60 (c) 46 (d) 45
  23. 23.What is the average of 26, 44, 19, 21 and 35? (a) 28 (b) 29 (c) 31 (d) 30
  24. 24.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 17 (c) 24 (d) 31
  25. 25.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 40 (b) 73 (c) 65 (d) 97
  26. 26.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 59 (c) 52 (d) 25
  27. 27.What is the average of 14, 38, 27 and 29? (a) 36 (b) 27 (c) 28 (d) 26
  28. 28.What is the average of all the whole numbers from 52 to 90? (a) 19 (b) 71 (c) 72 (d) 38
  29. 29.What is the average of all the whole numbers from 23 to 63? (a) 40 (b) 44 (c) 43 (d) 20
  30. 30.What is the average of all the whole numbers from 52 to 78? (a) 65 (b) 26 (c) 13 (d) 66
  31. 31.What is the average of 32, 40, 18, 32 and 38? (a) 32 (b) 40 (c) 33 (d) 31
  32. 32.What is the average of 71, 86, 79, 74 and 80? (a) 78 (b) 77 (c) 79 (d) 80
  33. 33.What is the average of all the whole numbers from 10 to 30? (a) 21 (b) 10 (c) 20 (d) 19
  34. 34.What is the average of all the whole numbers from 5 to 43? (a) 38 (b) 25 (c) 24 (d) 19
  35. 35.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 24 (b) 41 (c) 38 (d) 21
  36. 36.What is the average of 87, 71, 70, 89 and 73? (a) 80 (b) 78 (c) 77 (d) 79
  37. 37.What is the average of all the whole numbers from 59 to 87? (a) 28 (b) 73 (c) 74 (d) 14
  38. 38.What is the average of 47, 26, 26 and 41? (a) 35 (b) 34 (c) 36 (d) 37
  39. 39.What is the average of all the whole numbers from 17 to 43? (a) 26 (b) 13 (c) 31 (d) 30
  40. 40.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 6 (b) 20 (c) 29 (d) 15

Answer key

  1. 46
  2. 60
  3. 110
  4. 36
  5. 39
  6. 20
  7. 20
  8. 48
  9. 87
  10. 47
  11. 23
  12. 34
  13. 28
  14. 76
  15. 69
  16. 57
  17. 31
  18. 17
  19. 96
  20. 22
  21. 42
  22. 45
  23. 29
  24. 31
  25. 97
  26. 52
  27. 27
  28. 71
  29. 43
  30. 65
  31. 32
  32. 78
  33. 20
  34. 24
  35. 41
  36. 78
  37. 73
  38. 35
  39. 30
  40. 20

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