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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 795 · 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 30 to 50? (a) 10 (b) 40 (c) 20 (d) 41
  2. 2.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 30 (b) 61 (c) 64 (d) 88
  3. 3.What is the average of 31, 24, 44 and 53? (a) 39 (b) 37 (c) 38 (d) 40
  4. 4.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 21 (c) 62 (d) 47
  5. 5.What is the average of all the whole numbers from 26 to 36? (a) 10 (b) 31 (c) 5 (d) 32
  6. 6.What is the average of all the whole numbers from 36 to 68? (a) 52 (b) 16 (c) 53 (d) 32
  7. 7.What is the average of all the whole numbers from 26 to 54? (a) 41 (b) 14 (c) 40 (d) 28
  8. 8.What is the average of all the whole numbers from 42 to 78? (a) 60 (b) 36 (c) 18 (d) 61
  9. 9.What is the average of all the whole numbers from 35 to 65? (a) 15 (b) 51 (c) 50 (d) 30
  10. 10.What is the average of 66, 86, 80 and 88? (a) 80 (b) 81 (c) 79 (d) 82
  11. 11.What is the average of 17, 20, 43, 40 and 20? (a) 29 (b) 28 (c) 35 (d) 27
  12. 12.What is the average of 55, 70, 66 and 73? (a) 66 (b) 88 (c) 65 (d) 67
  13. 13.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 12 (b) 51 (c) 54 (d) 60
  14. 14.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 28 (b) 10 (c) 34 (d) 16
  15. 15.What is the average of 10, 11, 9 and 58? (a) 22 (b) 24 (c) 21 (d) 23
  16. 16.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 10 (c) 55 (d) 54
  17. 17.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 21 (c) 37 (d) 20
  18. 18.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 57 (b) 28 (c) 35 (d) 56
  19. 19.What is the average of all the whole numbers from 35 to 67? (a) 32 (b) 16 (c) 51 (d) 52
  20. 20.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 35 (c) 87 (d) 62
  21. 21.What is the average of 69, 59, 72 and 68? (a) 66 (b) 68 (c) 69 (d) 67
  22. 22.What is the average of all the whole numbers from 13 to 33? (a) 20 (b) 23 (c) 24 (d) 10
  23. 23.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 60 (b) 41 (c) 35 (d) 89
  24. 24.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 36 (b) 48 (c) 37 (d) 99
  25. 25.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 15 (b) 69 (c) 57 (d) 60
  26. 26.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 35 (c) 62 (d) 34
  27. 27.What is the average of 63, 62, 42, 52, 44 and 67? (a) 66 (b) 55 (c) 54 (d) 56
  28. 28.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 4 (c) 19 (d) 10
  29. 29.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 53 (b) 30 (c) 27 (d) 4
  30. 30.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) 34 (b) 101 (c) 49 (d) 35
  31. 31.What is the average of 14, 17, 35, 26 and 43? (a) 28 (b) 27 (c) 29 (d) 26
  32. 32.What is the average of 55, 33, 43, 39, 45 and 37? (a) 44 (b) 42 (c) 41 (d) 43
  33. 33.What is the average of 36, 23, 19 and 50? (a) 34 (b) 32 (c) 33 (d) 31
  34. 34.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 14 (b) 78 (c) 37 (d) 13
  35. 35.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 51 (b) 32 (c) 26 (d) 7
  36. 36.What is the average of 29, 16, 17, 24, 29 and 71? (a) 33 (b) 32 (c) 30 (d) 31
  37. 37.What is the average of 32, 30, 32, 44 and 82? (a) 43 (b) 45 (c) 44 (d) 55
  38. 38.What is the average of 62, 54, 78, 63 and 88? (a) 68 (b) 70 (c) 71 (d) 69
  39. 39.What is the average of 36, 50, 37 and 21? (a) 37 (b) 48 (c) 36 (d) 35
  40. 40.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 49 (c) 24 (d) 55

Answer key

  1. 40
  2. 88
  3. 38
  4. 62
  5. 31
  6. 52
  7. 40
  8. 60
  9. 50
  10. 80
  11. 28
  12. 66
  13. 60
  14. 34
  15. 22
  16. 54
  17. 37
  18. 56
  19. 51
  20. 87
  21. 67
  22. 23
  23. 89
  24. 36
  25. 69
  26. 62
  27. 55
  28. 13
  29. 30
  30. 34
  31. 27
  32. 42
  33. 32
  34. 13
  35. 32
  36. 31
  37. 44
  38. 69
  39. 36
  40. 67

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