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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 981 · 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 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 56 (c) 50 (d) 12
  2. 2.What is the average of 61, 40, 39, 39, 37 and 84? (a) 49 (b) 51 (c) 50 (d) 60
  3. 3.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 2 (c) 30 (d) 1
  4. 4.What is the average of all the whole numbers from 29 to 41? (a) 36 (b) 6 (c) 12 (d) 35
  5. 5.What is the average of all the whole numbers from 24 to 50? (a) 13 (b) 26 (c) 38 (d) 37
  6. 6.What is the average of all the whole numbers from 55 to 69? (a) 63 (b) 62 (c) 7 (d) 14
  7. 7.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) 63 (b) 27 (c) 34 (d) 83
  8. 8.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 12 (b) 33 (c) 39 (d) 30
  9. 9.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 25 (c) 28 (d) 48
  10. 10.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 90 (c) 56 (d) 42
  11. 11.What is the average of 59, 34, 43, 59, 55 and 44? (a) 50 (b) 48 (c) 51 (d) 49
  12. 12.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 6 (c) 20 (d) 21
  13. 13.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 49 (b) 23 (c) 8 (d) 9
  14. 14.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 98 (b) 40 (c) 74 (d) 66
  15. 15.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 24 (c) 42 (d) 23
  16. 16.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 29 (c) 65 (d) 42
  17. 17.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 58 (b) 34 (c) 38 (d) 28
  18. 18.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 24 (b) 37 (c) 31 (d) 49
  19. 19.What is the average of all the whole numbers from 54 to 70? (a) 16 (b) 63 (c) 62 (d) 8
  20. 20.What is the average of all the whole numbers from 56 to 68? (a) 12 (b) 63 (c) 62 (d) 6
  21. 21.What is the average of all the whole numbers from 35 to 67? (a) 32 (b) 16 (c) 51 (d) 52
  22. 22.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 56 (b) 91 (c) 92 (d) 49
  23. 23.What is the average of 83, 68, 86, 85 and 63? (a) 78 (b) 77 (c) 79 (d) 76
  24. 24.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 36 (c) 10 (d) 44
  25. 25.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 24 (b) 28 (c) 34 (d) 46
  26. 26.What is the average of 92, 67, 82, 82, 66 and 79? (a) 79 (b) 78 (c) 77 (d) 80
  27. 27.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 50 (c) 18 (d) 34
  28. 28.What is the average of 64, 63, 74, 70 and 119? (a) 79 (b) 77 (c) 78 (d) 80
  29. 29.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 28 (c) 88 (d) 70
  30. 30.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 32 (c) 21 (d) 25
  31. 31.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) 51 (b) 20 (c) 43 (d) 28
  32. 32.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 14 (b) 48 (c) 94 (d) 60
  33. 33.What is the average of all the whole numbers from 44 to 56? (a) 50 (b) 51 (c) 12 (d) 6
  34. 34.What is the average of all the whole numbers from 51 to 81? (a) 30 (b) 66 (c) 15 (d) 67
  35. 35.What is the average of all the whole numbers from 29 to 63? (a) 34 (b) 46 (c) 47 (d) 17
  36. 36.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 6 (b) 41 (c) 87 (d) 7
  37. 37.What is the average of 69, 41, 54, 60, 64 and 48? (a) 55 (b) 56 (c) 58 (d) 57
  38. 38.What is the average of 56, 52, 54, 57, 48 and 33? (a) 60 (b) 49 (c) 50 (d) 51
  39. 39.What is the average of all the whole numbers from 17 to 27? (a) 22 (b) 5 (c) 10 (d) 23
  40. 40.What is the average of all the whole numbers from 47 to 65? (a) 9 (b) 18 (c) 56 (d) 57

Answer key

  1. 56
  2. 50
  3. 1
  4. 35
  5. 37
  6. 62
  7. 83
  8. 39
  9. 48
  10. 90
  11. 49
  12. 20
  13. 8
  14. 98
  15. 43
  16. 65
  17. 58
  18. 49
  19. 62
  20. 62
  21. 51
  22. 91
  23. 77
  24. 44
  25. 46
  26. 78
  27. 50
  28. 78
  29. 70
  30. 32
  31. 43
  32. 60
  33. 50
  34. 66
  35. 46
  36. 6
  37. 56
  38. 50
  39. 22
  40. 56

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