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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 13 · 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 28 to 54? (a) 26 (b) 13 (c) 41 (d) 42
  2. 2.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 27 (b) 35 (c) 28 (d) 72
  3. 3.What is the average of 32, 28, 37 and 11? (a) 36 (b) 28 (c) 27 (d) 26
  4. 4.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 33 (c) 79 (d) 32
  5. 5.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 34? (a) 74 (b) 39 (c) 45 (d) 34
  6. 6.What is the average of 10, 18, 10, 15 and 72? (a) 27 (b) 24 (c) 25 (d) 26
  7. 7.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 36 (c) 32 (d) 20
  8. 8.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 56 (b) 64 (c) 104 (d) 48
  9. 9.What is the average of 47, 40, 38, 48 and 62? (a) 46 (b) 47 (c) 49 (d) 48
  10. 10.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 6 (b) 14 (c) 27 (d) 19
  11. 11.What is the average of all the whole numbers from 6 to 40? (a) 17 (b) 34 (c) 24 (d) 23
  12. 12.What is the average of 44, 30, 53, 31, 39 and 37? (a) 38 (b) 41 (c) 39 (d) 40
  13. 13.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 10 (c) 47 (d) 55
  14. 14.What is the average of 42, 36, 39 and 47? (a) 42 (b) 43 (c) 40 (d) 41
  15. 15.What is the average of all the whole numbers from 42 to 78? (a) 60 (b) 61 (c) 36 (d) 18
  16. 16.What is the average of all the whole numbers from 32 to 52? (a) 10 (b) 43 (c) 20 (d) 42
  17. 17.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 10 (c) 8 (d) 17
  18. 18.What is the average of 57, 57, 66, 61 and 84? (a) 65 (b) 67 (c) 64 (d) 66
  19. 19.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 33 (c) 38 (d) 21
  20. 20.What is the average of all the whole numbers from 24 to 52? (a) 39 (b) 38 (c) 14 (d) 28
  21. 21.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 22 (b) 21 (c) 56 (d) 27
  22. 22.What is the average of all the whole numbers from 17 to 27? (a) 22 (b) 23 (c) 10 (d) 5
  23. 23.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 64 (b) 50 (c) 98 (d) 42
  24. 24.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 71 (b) 50 (c) 28 (d) 57
  25. 25.What is the average of all the whole numbers from 56 to 82? (a) 69 (b) 13 (c) 70 (d) 26
  26. 26.What is the average of all the whole numbers from 43 to 77? (a) 34 (b) 61 (c) 60 (d) 17
  27. 27.What is the average of 33, 56, 36 and 59? (a) 46 (b) 47 (c) 48 (d) 45
  28. 28.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 25 (b) 18 (c) 19 (d) 51
  29. 29.What is the average of all the whole numbers from 52 to 78? (a) 26 (b) 65 (c) 13 (d) 66
  30. 30.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 15 (b) 27 (c) 18 (d) 30
  31. 31.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 66 (b) 50 (c) 54 (d) 20
  32. 32.What is the average of 32, 39, 35 and 78? (a) 45 (b) 47 (c) 46 (d) 48
  33. 33.What is the average of 71, 52, 61, 62 and 79? (a) 64 (b) 67 (c) 65 (d) 66
  34. 34.What is the average of 57, 67, 66 and 34? (a) 55 (b) 58 (c) 56 (d) 57
  35. 35.What is the average of 81, 67, 63 and 57? (a) 68 (b) 66 (c) 67 (d) 69
  36. 36.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 63 (b) 38 (c) 43 (d) 30
  37. 37.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 20 (b) 64 (c) 48 (d) 52
  38. 38.What is the average of 27, 35, 45 and 25? (a) 34 (b) 44 (c) 32 (d) 33
  39. 39.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 66? (a) 72 (b) 36 (c) 66 (d) 96
  40. 40.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 24 (b) 71 (c) 53 (d) 50

Answer key

  1. 41
  2. 27
  3. 27
  4. 32
  5. 74
  6. 25
  7. 48
  8. 104
  9. 47
  10. 19
  11. 23
  12. 39
  13. 55
  14. 41
  15. 60
  16. 42
  17. 17
  18. 65
  19. 33
  20. 38
  21. 21
  22. 22
  23. 98
  24. 71
  25. 69
  26. 60
  27. 46
  28. 18
  29. 65
  30. 30
  31. 66
  32. 46
  33. 65
  34. 56
  35. 67
  36. 63
  37. 64
  38. 33
  39. 96
  40. 71

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