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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 850 · 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 29, 24, 35, 43 and 49? (a) 36 (b) 37 (c) 35 (d) 45
  2. 2.What is the average of all the whole numbers from 44 to 76? (a) 16 (b) 32 (c) 60 (d) 61
  3. 3.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 28 (c) 42 (d) 86
  4. 4.What is the average of 85, 67, 77, 69, 75 and 101? (a) 78 (b) 79 (c) 80 (d) 81
  5. 5.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 41 (b) 22 (c) 37 (d) 18
  6. 6.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 42 (b) 68 (c) 32 (d) 38
  7. 7.What is the average of all the whole numbers from 13 to 53? (a) 33 (b) 40 (c) 34 (d) 20
  8. 8.What is the average of 59, 52, 57 and 16? (a) 46 (b) 48 (c) 45 (d) 47
  9. 9.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 58? (a) 65 (b) 114 (c) 58 (d) 63
  10. 10.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 34? (a) 64 (b) 42 (c) 90 (d) 34
  11. 11.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 12 (c) 50 (d) 44
  12. 12.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 30 (c) 40 (d) 60
  13. 13.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 23 (b) 13 (c) 48 (d) 14
  14. 14.What is the average of 68, 77, 80 and 87? (a) 104 (b) 79 (c) 78 (d) 77
  15. 15.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 30 (b) 86 (c) 42 (d) 31
  16. 16.What is the average of 62, 60, 63, 75, 65 and 83? (a) 70 (b) 69 (c) 67 (d) 68
  17. 17.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 100 (b) 52 (c) 64 (d) 44
  18. 18.What is the average of all the whole numbers from 30 to 56? (a) 26 (b) 43 (c) 44 (d) 13
  19. 19.What is the average of all the whole numbers from 27 to 47? (a) 20 (b) 10 (c) 37 (d) 38
  20. 20.What is the average of 43, 29, 42, 32 and 29? (a) 34 (b) 35 (c) 37 (d) 36
  21. 21.What is the average of 66, 60, 57 and 89? (a) 69 (b) 67 (c) 68 (d) 70
  22. 22.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 50 (b) 105 (c) 31 (d) 30
  23. 23.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 64 (b) 36 (c) 40 (d) 34
  24. 24.What is the average of 35, 39, 27 and 67? (a) 56 (b) 43 (c) 41 (d) 42
  25. 25.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 7 (c) 28 (d) 34
  26. 26.What is the average of all the whole numbers from 6 to 32? (a) 26 (b) 19 (c) 13 (d) 20
  27. 27.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 12 (b) 32 (c) 11 (d) 67
  28. 28.What is the average of all the whole numbers from 13 to 41? (a) 28 (b) 26 (c) 27 (d) 14
  29. 29.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 8 (b) 32 (c) 62 (d) 38
  30. 30.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 16 (b) 40 (c) 54 (d) 78
  31. 31.What is the average of 41, 63, 53 and 67? (a) 55 (b) 57 (c) 56 (d) 58
  32. 32.What is the average of 41, 20, 23, 45, 41 and 40? (a) 35 (b) 34 (c) 42 (d) 36
  33. 33.What is the average of all the whole numbers from 55 to 77? (a) 11 (b) 66 (c) 22 (d) 67
  34. 34.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) 33 (c) 6 (d) 7
  35. 35.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 31 (b) 18 (c) 45 (d) 29
  36. 36.What is the average of all the whole numbers from 43 to 77? (a) 34 (b) 60 (c) 17 (d) 61
  37. 37.What is the average of all the whole numbers from 11 to 33? (a) 22 (b) 11 (c) 21 (d) 23
  38. 38.What is the average of 43, 23, 27, 21, 36 and 36? (a) 33 (b) 32 (c) 30 (d) 31
  39. 39.What is the average of all the whole numbers from 29 to 39? (a) 5 (b) 35 (c) 34 (d) 10
  40. 40.What is the average of all the whole numbers from 50 to 78? (a) 65 (b) 64 (c) 28 (d) 14

Answer key

  1. 36
  2. 60
  3. 28
  4. 79
  5. 37
  6. 68
  7. 33
  8. 46
  9. 114
  10. 90
  11. 50
  12. 60
  13. 13
  14. 78
  15. 30
  16. 68
  17. 100
  18. 43
  19. 37
  20. 35
  21. 68
  22. 30
  23. 64
  24. 42
  25. 34
  26. 19
  27. 11
  28. 27
  29. 38
  30. 54
  31. 56
  32. 35
  33. 66
  34. 6
  35. 45
  36. 60
  37. 22
  38. 31
  39. 34
  40. 64

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