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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 769 · 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.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 17 (c) 62 (d) 29
  2. 2.What is the average of 66, 64, 72 and 38? (a) 61 (b) 60 (c) 80 (d) 59
  3. 3.What is the average of 45, 68, 45, 44, 53 and 99? (a) 60 (b) 59 (c) 61 (d) 58
  4. 4.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 45 (b) 33 (c) 12 (d) 24
  5. 5.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 60 (b) 40 (c) 75 (d) 25
  6. 6.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 41 (c) 65 (d) 36
  7. 7.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 41 (b) 6 (c) 36 (d) 71
  8. 8.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 50 (b) 65 (c) 20 (d) 35
  9. 9.What is the average of 32, 13, 34, 12, 14 and 51? (a) 28 (b) 25 (c) 27 (d) 26
  10. 10.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 106 (c) 52 (d) 58
  11. 11.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 25? (a) 25 (b) 27 (c) 10 (d) 33
  12. 12.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 52 (c) 40 (d) 18
  13. 13.What is the average of all the whole numbers from 21 to 59? (a) 41 (b) 38 (c) 40 (d) 19
  14. 14.What is the average of all the whole numbers from 30 to 62? (a) 16 (b) 47 (c) 46 (d) 32
  15. 15.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 33 (b) 35 (c) 63 (d) 61
  16. 16.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 20 (b) 41 (c) 57 (d) 45
  17. 17.What is the average of 34, 44, 26, 47, 26 and 63? (a) 41 (b) 39 (c) 48 (d) 40
  18. 18.What is the average of all the whole numbers from 33 to 57? (a) 24 (b) 46 (c) 45 (d) 12
  19. 19.What is the average of 28, 18, 36 and 30? (a) 30 (b) 29 (c) 27 (d) 28
  20. 20.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 34? (a) 48 (b) 76 (c) 40 (d) 34
  21. 21.What is the average of all the whole numbers from 12 to 48? (a) 30 (b) 36 (c) 18 (d) 31
  22. 22.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 51 (c) 75 (d) 36
  23. 23.What is the average of all the whole numbers from 29 to 49? (a) 10 (b) 20 (c) 40 (d) 39
  24. 24.What is the average of all the whole numbers from 48 to 66? (a) 18 (b) 57 (c) 58 (d) 9
  25. 25.What is the average of all the whole numbers from 32 to 68? (a) 51 (b) 36 (c) 18 (d) 50
  26. 26.What is the average of all the whole numbers from 38 to 54? (a) 47 (b) 16 (c) 46 (d) 8
  27. 27.What is the average of 72, 66, 61, 65, 65 and 85? (a) 68 (b) 71 (c) 69 (d) 70
  28. 28.What is the average of all the whole numbers from 21 to 33? (a) 28 (b) 27 (c) 12 (d) 6
  29. 29.What is the average of all the whole numbers from 21 to 53? (a) 38 (b) 37 (c) 32 (d) 16
  30. 30.What is the average of 48, 46, 38, 57, 39 and 30? (a) 42 (b) 45 (c) 44 (d) 43
  31. 31.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 43 (b) 64 (c) 36 (d) 35
  32. 32.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 10 (c) 49 (d) 43
  33. 33.What is the average of 21, 38, 22, 31 and 63? (a) 35 (b) 37 (c) 36 (d) 34
  34. 34.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 24? (a) 42 (b) 21 (c) 24 (d) 27
  35. 35.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 41 (b) 23 (c) 38 (d) 20
  36. 36.What is the average of 10, 36, 28, 10 and 26? (a) 23 (b) 24 (c) 21 (d) 22
  37. 37.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 37 (c) 42 (d) 67
  38. 38.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 35 (c) 34 (d) 101
  39. 39.What is the average of all the whole numbers from 21 to 51? (a) 30 (b) 36 (c) 15 (d) 37
  40. 40.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 36 (b) 28 (c) 16 (d) 24

Answer key

  1. 17
  2. 60
  3. 59
  4. 33
  5. 60
  6. 65
  7. 41
  8. 50
  9. 26
  10. 106
  11. 33
  12. 52
  13. 40
  14. 46
  15. 63
  16. 57
  17. 40
  18. 45
  19. 28
  20. 76
  21. 30
  22. 75
  23. 39
  24. 57
  25. 50
  26. 46
  27. 69
  28. 27
  29. 37
  30. 43
  31. 64
  32. 49
  33. 35
  34. 42
  35. 38
  36. 22
  37. 67
  38. 34
  39. 36
  40. 36

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