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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 931 · 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 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 13 (c) 25 (d) 5
  2. 2.What is the average of 48, 46, 43, 30, 52 and 33? (a) 44 (b) 41 (c) 43 (d) 42
  3. 3.What is the average of 49, 44, 43 and 76? (a) 52 (b) 55 (c) 53 (d) 54
  4. 4.What is the average of all the whole numbers from 25 to 51? (a) 13 (b) 39 (c) 26 (d) 38
  5. 5.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 100 (b) 72 (c) 36 (d) 44
  6. 6.What is the average of 64, 61, 59 and 52? (a) 58 (b) 59 (c) 60 (d) 61
  7. 7.What is the average of all the whole numbers from 11 to 35? (a) 12 (b) 24 (c) 23 (d) 22
  8. 8.What is the average of all the whole numbers from 41 to 51? (a) 10 (b) 47 (c) 5 (d) 46
  9. 9.What is the average of all the whole numbers from 9 to 47? (a) 19 (b) 29 (c) 38 (d) 28
  10. 10.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 10 (d) 30
  11. 11.What is the average of 42, 46, 49, 44 and 4? (a) 36 (b) 37 (c) 39 (d) 38
  12. 12.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 20 (b) 50 (c) 34 (d) 64
  13. 13.What is the average of 66, 83, 83, 88, 59 and 59? (a) 74 (b) 72 (c) 73 (d) 75
  14. 14.What is the average of 53, 66, 44, 56, 51 and 36? (a) 53 (b) 50 (c) 52 (d) 51
  15. 15.What is the average of all the whole numbers from 9 to 23? (a) 16 (b) 17 (c) 7 (d) 14
  16. 16.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 45 (c) 20 (d) 19
  17. 17.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 45 (b) 60 (c) 16 (d) 31
  18. 18.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 93 (b) 30 (c) 29 (d) 44
  19. 19.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 28 (c) 12 (d) 19
  20. 20.What is the average of 59, 61, 57, 73 and 85? (a) 66 (b) 67 (c) 69 (d) 68
  21. 21.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 59 (c) 36 (d) 35
  22. 22.What is the average of 91, 73, 75 and 73? (a) 78 (b) 79 (c) 77 (d) 104
  23. 23.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 7 (b) 39 (c) 20 (d) 26
  24. 24.What is the average of 77, 49, 77, 64 and 53? (a) 80 (b) 64 (c) 65 (d) 63
  25. 25.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 21 (c) 18 (d) 19
  26. 26.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 68 (b) 42 (c) 32 (d) 38
  27. 27.What is the average of 68, 46, 66 and 52? (a) 57 (b) 59 (c) 58 (d) 60
  28. 28.What is the average of all the whole numbers from 8 to 18? (a) 13 (b) 5 (c) 10 (d) 14
  29. 29.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 27 (b) 31 (c) 63 (d) 28
  30. 30.What is the average of 29, 45, 28, 44 and 9? (a) 30 (b) 32 (c) 31 (d) 33
  31. 31.What is the average of all the whole numbers from 47 to 65? (a) 9 (b) 57 (c) 18 (d) 56
  32. 32.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 11 (c) 17 (d) 10
  33. 33.What is the average of all the whole numbers from 5 to 29? (a) 17 (b) 18 (c) 24 (d) 12
  34. 34.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 75 (c) 45 (d) 39
  35. 35.What is the average of 28, 15, 17 and 20? (a) 21 (b) 20 (c) 22 (d) 19
  36. 36.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 26 (c) 25 (d) 28
  37. 37.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 65 (b) 47 (c) 91 (d) 21
  38. 38.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 70 (c) 12 (d) 62
  39. 39.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 48 (b) 16 (c) 68 (d) 36
  40. 40.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 33 (b) 37 (c) 75 (d) 32

Answer key

  1. 17
  2. 42
  3. 53
  4. 38
  5. 100
  6. 59
  7. 23
  8. 46
  9. 28
  10. 30
  11. 37
  12. 50
  13. 73
  14. 51
  15. 16
  16. 19
  17. 45
  18. 29
  19. 28
  20. 67
  21. 59
  22. 78
  23. 26
  24. 64
  25. 18
  26. 68
  27. 58
  28. 13
  29. 27
  30. 31
  31. 56
  32. 10
  33. 17
  34. 75
  35. 20
  36. 25
  37. 65
  38. 70
  39. 48
  40. 32

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