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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 965 · 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 21 to 47? (a) 34 (b) 26 (c) 35 (d) 13
  2. 2.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 25 (c) 30 (d) 50
  3. 3.What is the average of 71, 80, 79, 81 and 89? (a) 79 (b) 81 (c) 100 (d) 80
  4. 4.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 56 (b) 31 (c) 26 (d) 35
  5. 5.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 24 (b) 36 (c) 15 (d) 27
  6. 6.What is the average of all the whole numbers from 24 to 56? (a) 32 (b) 41 (c) 16 (d) 40
  7. 7.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 13 (b) 38 (c) 12 (d) 18
  8. 8.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 74 (c) 24 (d) 56
  9. 9.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 27 (c) 8 (d) 31
  10. 10.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 20 (b) 46 (c) 58 (d) 42
  11. 11.What is the average of 15, 13, 36, 32 and 19? (a) 24 (b) 22 (c) 25 (d) 23
  12. 12.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 52 (c) 44 (d) 28
  13. 13.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 14 (c) 53 (d) 63
  14. 14.What is the average of 73, 86, 80, 68, 72 and 71? (a) 90 (b) 75 (c) 76 (d) 74
  15. 15.What is the average of all the whole numbers from 7 to 27? (a) 10 (b) 17 (c) 18 (d) 20
  16. 16.What is the average of all the whole numbers from 26 to 32? (a) 3 (b) 30 (c) 6 (d) 29
  17. 17.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 11 (b) 12 (c) 29 (d) 61
  18. 18.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 50 (b) 30 (c) 51 (d) 25
  19. 19.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 23 (c) 4 (d) 12
  20. 20.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 18 (c) 66 (d) 78
  21. 21.What is the average of 81, 74, 82, 75, 83 and 85? (a) 81 (b) 79 (c) 80 (d) 96
  22. 22.What is the average of all the whole numbers from 53 to 59? (a) 56 (b) 6 (c) 57 (d) 3
  23. 23.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 25 (c) 41 (d) 21
  24. 24.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 30 (c) 43 (d) 31
  25. 25.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 28 (c) 30 (d) 41
  26. 26.What is the average of 60, 67, 61, 58, 67 and 59? (a) 63 (b) 64 (c) 62 (d) 61
  27. 27.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 40 (b) 17 (c) 11 (d) 46
  28. 28.What is the average of 32, 23, 41, 37, 24 and 29? (a) 32 (b) 33 (c) 31 (d) 30
  29. 29.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 54 (c) 66 (d) 18
  30. 30.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 16 (c) 44 (d) 30
  31. 31.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 77 (b) 24 (c) 61 (d) 57
  32. 32.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 68 (c) 32 (d) 52
  33. 33.What is the average of all the whole numbers from 21 to 33? (a) 27 (b) 12 (c) 6 (d) 28
  34. 34.What is the average of 66, 92, 83, 69 and 90? (a) 79 (b) 100 (c) 81 (d) 80
  35. 35.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 54? (a) 96 (b) 48 (c) 60 (d) 54
  36. 36.What is the average of all the whole numbers from 41 to 51? (a) 46 (b) 10 (c) 5 (d) 47
  37. 37.What is the average of 54, 47, 48, 47 and 114? (a) 62 (b) 64 (c) 61 (d) 63
  38. 38.What is the average of 61, 73, 70, 67 and 69? (a) 69 (b) 67 (c) 85 (d) 68
  39. 39.What is the average of 32, 48, 50, 33 and 42? (a) 42 (b) 43 (c) 40 (d) 41
  40. 40.What is the average of all the whole numbers from 8 to 38? (a) 23 (b) 15 (c) 30 (d) 24

Answer key

  1. 34
  2. 50
  3. 80
  4. 56
  5. 36
  6. 40
  7. 12
  8. 74
  9. 31
  10. 58
  11. 23
  12. 44
  13. 63
  14. 75
  15. 17
  16. 29
  17. 11
  18. 50
  19. 15
  20. 78
  21. 80
  22. 56
  23. 41
  24. 43
  25. 41
  26. 62
  27. 46
  28. 31
  29. 66
  30. 44
  31. 77
  32. 68
  33. 27
  34. 80
  35. 96
  36. 46
  37. 62
  38. 68
  39. 41
  40. 23

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