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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 611 · 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 55 to 63? (a) 8 (b) 60 (c) 4 (d) 59
  2. 2.What is the average of all the whole numbers from 27 to 53? (a) 40 (b) 26 (c) 13 (d) 41
  3. 3.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 53 (c) 47 (d) 8
  4. 4.What is the average of all the whole numbers from 43 to 75? (a) 60 (b) 16 (c) 32 (d) 59
  5. 5.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 100 (b) 28 (c) 48 (d) 29
  6. 6.What is the average of 58, 61, 86 and 87? (a) 74 (b) 75 (c) 72 (d) 73
  7. 7.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 47 (b) 43 (c) 40 (d) 79
  8. 8.What is the average of 35, 9, 33 and 19? (a) 23 (b) 24 (c) 32 (d) 25
  9. 9.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 61 (b) 46 (c) 87 (d) 20
  10. 10.What is the average of all the whole numbers from 52 to 78? (a) 13 (b) 26 (c) 65 (d) 66
  11. 11.What is the average of 82, 69, 72, 95, 92 and 70? (a) 96 (b) 80 (c) 79 (d) 81
  12. 12.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 115 (b) 60 (c) 114 (d) 66
  13. 13.What is the average of 44, 21, 26 and 33? (a) 33 (b) 31 (c) 30 (d) 32
  14. 14.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 10 (c) 42 (d) 36
  15. 15.What is the average of 30, 27, 52 and 39? (a) 36 (b) 38 (c) 37 (d) 39
  16. 16.What is the average of 48, 52, 49 and 91? (a) 59 (b) 80 (c) 61 (d) 60
  17. 17.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 20 (b) 28 (c) 51 (d) 43
  18. 18.What is the average of 30, 23, 30, 21, 38 and 68? (a) 34 (b) 36 (c) 42 (d) 35
  19. 19.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 57 (c) 99 (d) 50
  20. 20.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 16 (b) 55 (c) 59 (d) 67
  21. 21.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 16 (c) 45 (d) 37
  22. 22.What is the average of 70, 53, 58, 80 and 74? (a) 66 (b) 68 (c) 69 (d) 67
  23. 23.What is the average of all the whole numbers from 21 to 53? (a) 16 (b) 38 (c) 37 (d) 32
  24. 24.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 24 (c) 51 (d) 72
  25. 25.What is the average of all the whole numbers from 49 to 69? (a) 60 (b) 20 (c) 59 (d) 10
  26. 26.What is the average of all the whole numbers from 56 to 64? (a) 60 (b) 61 (c) 8 (d) 4
  27. 27.What is the average of all the whole numbers from 28 to 40? (a) 12 (b) 35 (c) 6 (d) 34
  28. 28.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 34 (c) 5 (d) 4
  29. 29.What is the average of 66, 46, 51 and 77? (a) 59 (b) 61 (c) 60 (d) 80
  30. 30.What is the average of 42, 50, 49 and 63? (a) 51 (b) 68 (c) 52 (d) 50
  31. 31.What is the average of 49, 65, 52 and 54? (a) 57 (b) 56 (c) 55 (d) 54
  32. 32.What is the average of 46, 23, 41, 27, 32 and 17? (a) 31 (b) 30 (c) 33 (d) 32
  33. 33.What is the average of 18, 33, 5 and 24? (a) 19 (b) 22 (c) 21 (d) 20
  34. 34.What is the average of 38, 42, 37 and 91? (a) 53 (b) 51 (c) 54 (d) 52
  35. 35.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 40 (b) 25 (c) 60 (d) 30
  36. 36.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 56? (a) 92 (b) 62 (c) 56 (d) 42
  37. 37.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 34 (c) 35 (d) 98
  38. 38.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 31 (c) 32 (d) 34
  39. 39.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 35 (c) 57 (d) 78
  40. 40.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 18 (b) 34 (c) 32 (d) 20

Answer key

  1. 59
  2. 40
  3. 53
  4. 59
  5. 28
  6. 73
  7. 79
  8. 24
  9. 61
  10. 65
  11. 80
  12. 114
  13. 31
  14. 42
  15. 37
  16. 60
  17. 43
  18. 35
  19. 99
  20. 67
  21. 45
  22. 67
  23. 37
  24. 72
  25. 59
  26. 60
  27. 34
  28. 4
  29. 60
  30. 51
  31. 55
  32. 31
  33. 20
  34. 52
  35. 60
  36. 92
  37. 34
  38. 31
  39. 78
  40. 34

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