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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 944 · 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 7 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 23 (c) 29 (d) 7
  2. 2.What is the average of all the whole numbers from 12 to 20? (a) 17 (b) 4 (c) 8 (d) 16
  3. 3.What is the average of all the whole numbers from 38 to 64? (a) 26 (b) 13 (c) 52 (d) 51
  4. 4.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 37 (c) 7 (d) 25
  5. 5.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 120 (b) 66 (c) 72 (d) 60
  6. 6.What is the average of all the whole numbers from 42 to 64? (a) 22 (b) 11 (c) 53 (d) 54
  7. 7.What is the average of all the whole numbers from 59 to 67? (a) 63 (b) 64 (c) 8 (d) 4
  8. 8.What is the average of 74, 70, 71, 66, 71 and 20? (a) 61 (b) 62 (c) 64 (d) 63
  9. 9.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 39 (c) 60 (d) 27
  10. 10.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 16 (b) 47 (c) 33 (d) 35
  11. 11.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 74 (b) 76 (c) 75 (d) 40
  12. 12.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 38 (b) 81 (c) 3 (d) 4
  13. 13.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 54 (c) 74 (d) 30
  14. 14.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 32 (c) 14 (d) 25
  15. 15.What is the average of all the whole numbers from 23 to 51? (a) 37 (b) 38 (c) 28 (d) 14
  16. 16.What is the average of 38, 29, 22 and 7? (a) 24 (b) 25 (c) 23 (d) 32
  17. 17.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 91 (b) 20 (c) 63 (d) 48
  18. 18.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 57 (c) 78 (d) 35
  19. 19.What is the average of 27, 32, 30 and 23? (a) 30 (b) 27 (c) 28 (d) 29
  20. 20.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 78 (b) 41 (c) 65 (d) 28
  21. 21.What is the average of 27, 41, 26 and 66? (a) 39 (b) 42 (c) 41 (d) 40
  22. 22.What is the average of all the whole numbers from 21 to 47? (a) 26 (b) 13 (c) 34 (d) 35
  23. 23.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 61 (b) 41 (c) 36 (d) 30
  24. 24.What is the average of 83, 79, 63, 79 and 76? (a) 77 (b) 75 (c) 95 (d) 76
  25. 25.What is the average of 35, 45, 22 and 46? (a) 38 (b) 39 (c) 37 (d) 36
  26. 26.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 53 (c) 64 (d) 40
  27. 27.What is the average of 34, 42, 34, 34 and 76? (a) 43 (b) 45 (c) 55 (d) 44
  28. 28.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 34 (b) 25 (c) 70 (d) 24
  29. 29.What is the average of 43, 35, 50 and 36? (a) 42 (b) 43 (c) 41 (d) 40
  30. 30.What is the average of all the whole numbers from 38 to 60? (a) 50 (b) 22 (c) 49 (d) 11
  31. 31.What is the average of 24, 31, 44, 26 and 45? (a) 34 (b) 33 (c) 36 (d) 35
  32. 32.What is the average of all the whole numbers from 56 to 66? (a) 10 (b) 61 (c) 5 (d) 62
  33. 33.What is the average of all the whole numbers from 25 to 33? (a) 4 (b) 8 (c) 30 (d) 29
  34. 34.What is the average of all the whole numbers from 20 to 56? (a) 36 (b) 18 (c) 38 (d) 39
  35. 35.What is the average of all the whole numbers from 12 to 18? (a) 3 (b) 15 (c) 6 (d) 16
  36. 36.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) 30 (c) 25 (d) 62
  37. 37.What is the average of 68, 65, 65, 76 and 46? (a) 63 (b) 80 (c) 65 (d) 64
  38. 38.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 20 (c) 6 (d) 25
  39. 39.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 34 (c) 30 (d) 28
  40. 40.What is the average of 27, 21, 24, 19 and 59? (a) 32 (b) 31 (c) 30 (d) 29

Answer key

  1. 29
  2. 16
  3. 51
  4. 25
  5. 120
  6. 53
  7. 63
  8. 62
  9. 60
  10. 47
  11. 75
  12. 3
  13. 74
  14. 32
  15. 37
  16. 24
  17. 63
  18. 78
  19. 28
  20. 65
  21. 40
  22. 34
  23. 61
  24. 76
  25. 37
  26. 64
  27. 44
  28. 24
  29. 41
  30. 49
  31. 34
  32. 61
  33. 29
  34. 38
  35. 15
  36. 24
  37. 64
  38. 25
  39. 52
  40. 30

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