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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 351 · 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 46, 51, 62 and 81? (a) 80 (b) 60 (c) 61 (d) 59
  2. 2.What is the average of 32, 38, 58, 50 and 47? (a) 46 (b) 44 (c) 47 (d) 45
  3. 3.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 24 (b) 25 (c) 30 (d) 62
  4. 4.What is the average of all the whole numbers from 9 to 23? (a) 17 (b) 14 (c) 16 (d) 7
  5. 5.What is the average of all the whole numbers from 12 to 48? (a) 36 (b) 31 (c) 30 (d) 18
  6. 6.What is the average of all the whole numbers from 55 to 83? (a) 70 (b) 28 (c) 69 (d) 14
  7. 7.What is the average of 22, 29, 36, 33, 16 and 50? (a) 33 (b) 30 (c) 32 (d) 31
  8. 8.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 48 (c) 30 (d) 75
  9. 9.What is the average of all the whole numbers from 37 to 45? (a) 4 (b) 41 (c) 8 (d) 42
  10. 10.What is the average of all the whole numbers from 57 to 83? (a) 71 (b) 26 (c) 70 (d) 13
  11. 11.What is the average of all the whole numbers from 18 to 36? (a) 18 (b) 27 (c) 28 (d) 9
  12. 12.What is the average of all the whole numbers from 38 to 78? (a) 58 (b) 59 (c) 40 (d) 20
  13. 13.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 82 (b) 54 (c) 35 (d) 61
  14. 14.What is the average of 60, 76, 64 and 76? (a) 69 (b) 92 (c) 70 (d) 68
  15. 15.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 12 (b) 51 (c) 24 (d) 13
  16. 16.What is the average of 53, 41, 46 and 36? (a) 44 (b) 43 (c) 45 (d) 46
  17. 17.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 23 (b) 72 (c) 24 (d) 35
  18. 18.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 68 (b) 44 (c) 32 (d) 40
  19. 19.What is the average of 11, 27, 17 and 41? (a) 23 (b) 32 (c) 24 (d) 25
  20. 20.What is the average of 8, 15, 16, 34 and 32? (a) 21 (b) 20 (c) 23 (d) 22
  21. 21.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 96 (b) 34 (c) 46 (d) 35
  22. 22.What is the average of 28, 44, 37 and 63? (a) 44 (b) 42 (c) 45 (d) 43
  23. 23.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 8 (c) 9 (d) 23
  24. 24.What is the average of 50, 62, 64 and 56? (a) 60 (b) 57 (c) 58 (d) 59
  25. 25.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 55 (c) 10 (d) 54
  26. 26.What is the average of 27, 24, 25 and 4? (a) 20 (b) 19 (c) 21 (d) 22
  27. 27.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 52 (b) 14 (c) 62 (d) 50
  28. 28.What is the average of 55, 38, 39 and 36? (a) 56 (b) 43 (c) 41 (d) 42
  29. 29.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 16 (b) 39 (c) 47 (d) 35
  30. 30.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 36 (c) 64 (d) 34
  31. 31.What is the average of 27, 28, 28 and 37? (a) 30 (b) 31 (c) 29 (d) 40
  32. 32.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 31? (a) 31 (b) 39 (c) 32 (d) 55
  33. 33.What is the average of all the whole numbers from 53 to 81? (a) 28 (b) 14 (c) 67 (d) 68
  34. 34.What is the average of 41, 37, 18, 42 and 22? (a) 32 (b) 40 (c) 31 (d) 33
  35. 35.What is the average of all the whole numbers from 22 to 36? (a) 29 (b) 7 (c) 14 (d) 30
  36. 36.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 45 (c) 40 (d) 80
  37. 37.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 64 (b) 41 (c) 10 (d) 33
  38. 38.What is the average of all the whole numbers from 29 to 69? (a) 50 (b) 20 (c) 49 (d) 40
  39. 39.What is the average of all the whole numbers from 21 to 41? (a) 32 (b) 31 (c) 20 (d) 10
  40. 40.What is the average of 55, 45, 49, 46, 33 and 60? (a) 47 (b) 49 (c) 50 (d) 48

Answer key

  1. 60
  2. 45
  3. 24
  4. 16
  5. 30
  6. 69
  7. 31
  8. 75
  9. 41
  10. 70
  11. 27
  12. 58
  13. 82
  14. 69
  15. 12
  16. 44
  17. 23
  18. 68
  19. 24
  20. 21
  21. 34
  22. 43
  23. 8
  24. 58
  25. 54
  26. 20
  27. 62
  28. 42
  29. 47
  30. 64
  31. 30
  32. 55
  33. 67
  34. 32
  35. 29
  36. 80
  37. 41
  38. 49
  39. 31
  40. 48

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