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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 83 · 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 16 to 36? (a) 10 (b) 20 (c) 26 (d) 27
  2. 2.What is the average of all the whole numbers from 40 to 60? (a) 10 (b) 51 (c) 50 (d) 20
  3. 3.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 91 (b) 46 (c) 51 (d) 6
  4. 4.What is the average of all the whole numbers from 15 to 25? (a) 21 (b) 10 (c) 5 (d) 20
  5. 5.What is the average of 43, 44, 41 and 4? (a) 32 (b) 33 (c) 34 (d) 44
  6. 6.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 63 (b) 47 (c) 45 (d) 20
  7. 7.What is the average of 27, 23, 46, 29 and 50? (a) 34 (b) 37 (c) 36 (d) 35
  8. 8.What is the average of all the whole numbers from 40 to 48? (a) 44 (b) 45 (c) 8 (d) 4
  9. 9.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 18 (c) 33 (d) 47
  10. 10.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 96 (c) 72 (d) 40
  11. 11.What is the average of all the whole numbers from 25 to 45? (a) 35 (b) 20 (c) 10 (d) 36
  12. 12.What is the average of all the whole numbers from 28 to 52? (a) 40 (b) 41 (c) 12 (d) 24
  13. 13.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 2 (b) 29 (c) 1 (d) 13
  14. 14.What is the average of all the whole numbers from 9 to 41? (a) 26 (b) 16 (c) 25 (d) 32
  15. 15.What is the average of all the whole numbers from 9 to 25? (a) 8 (b) 18 (c) 16 (d) 17
  16. 16.What is the average of 29, 45, 39 and 7? (a) 40 (b) 29 (c) 31 (d) 30
  17. 17.What is the average of 45, 42, 54, 48, 56 and 73? (a) 52 (b) 54 (c) 53 (d) 55
  18. 18.What is the average of 66, 48, 75 and 63? (a) 64 (b) 62 (c) 63 (d) 84
  19. 19.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 60 (b) 12 (c) 98 (d) 50
  20. 20.What is the average of 87, 92, 74, 88 and 44? (a) 77 (b) 78 (c) 76 (d) 79
  21. 21.What is the average of all the whole numbers from 42 to 78? (a) 36 (b) 18 (c) 60 (d) 61
  22. 22.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 61? (a) 65 (b) 77 (c) 61 (d) 20
  23. 23.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 47 (b) 96 (c) 34 (d) 33
  24. 24.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 2 (b) 14 (c) 3 (d) 32
  25. 25.What is the average of all the whole numbers from 60 to 72? (a) 6 (b) 66 (c) 12 (d) 67
  26. 26.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 47 (b) 29 (c) 55 (d) 21
  27. 27.What is the average of 62, 55, 49, 40, 57 and 43? (a) 51 (b) 52 (c) 50 (d) 53
  28. 28.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 100 (c) 51 (d) 58
  29. 29.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 28 (c) 53 (d) 46
  30. 30.What is the average of 64, 46, 47, 59 and 74? (a) 60 (b) 58 (c) 59 (d) 57
  31. 31.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 27 (b) 18 (c) 24 (d) 39
  32. 32.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 80 (d) 40
  33. 33.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 27 (b) 35 (c) 26 (d) 73
  34. 34.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 83 (b) 27 (c) 63 (d) 34
  35. 35.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 41 (b) 15 (c) 22 (d) 34
  36. 36.What is the average of 44, 46, 27, 33 and 20? (a) 35 (b) 33 (c) 34 (d) 36
  37. 37.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 52 (c) 32 (d) 27
  38. 38.What is the average of 27, 19, 16 and 18? (a) 20 (b) 19 (c) 22 (d) 21
  39. 39.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 38 (c) 45 (d) 73
  40. 40.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 18 (b) 58 (c) 61 (d) 73

Answer key

  1. 26
  2. 50
  3. 51
  4. 20
  5. 33
  6. 63
  7. 35
  8. 44
  9. 47
  10. 96
  11. 35
  12. 40
  13. 1
  14. 25
  15. 17
  16. 30
  17. 53
  18. 63
  19. 60
  20. 77
  21. 60
  22. 77
  23. 33
  24. 2
  25. 66
  26. 47
  27. 51
  28. 100
  29. 46
  30. 58
  31. 39
  32. 80
  33. 26
  34. 83
  35. 34
  36. 34
  37. 52
  38. 20
  39. 73
  40. 73

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