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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 972 · 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 30, 19, 35, 40 and 21? (a) 28 (b) 30 (c) 31 (d) 29
  2. 2.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 47 (c) 50 (d) 24
  3. 3.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 20 (b) 50 (c) 68 (d) 52
  4. 4.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 45 (c) 60 (d) 40
  5. 5.What is the average of all the whole numbers from 24 to 48? (a) 24 (b) 37 (c) 36 (d) 12
  6. 6.What is the average of all the whole numbers from 37 to 75? (a) 19 (b) 57 (c) 56 (d) 38
  7. 7.What is the average of 44, 37, 37, 39 and 63? (a) 45 (b) 43 (c) 55 (d) 44
  8. 8.What is the average of 67, 77, 60, 70, 80 and 72? (a) 70 (b) 72 (c) 71 (d) 73
  9. 9.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 47 (b) 20 (c) 31 (d) 29
  10. 10.What is the average of all the whole numbers from 33 to 59? (a) 26 (b) 46 (c) 47 (d) 13
  11. 11.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 49 (b) 97 (c) 6 (d) 54
  12. 12.What is the average of all the whole numbers from 44 to 80? (a) 36 (b) 18 (c) 63 (d) 62
  13. 13.What is the average of 77, 86, 57 and 64? (a) 72 (b) 71 (c) 70 (d) 73
  14. 14.What is the average of 37, 54, 32 and 45? (a) 42 (b) 56 (c) 41 (d) 43
  15. 15.What is the average of all the whole numbers from 22 to 36? (a) 14 (b) 30 (c) 7 (d) 29
  16. 16.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) 62 (c) 25 (d) 30
  17. 17.What is the average of 56, 76, 62, 80 and 71? (a) 70 (b) 68 (c) 69 (d) 71
  18. 18.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 16 (c) 84 (d) 56
  19. 19.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 24 (c) 56 (d) 74
  20. 20.What is the average of 53, 46, 69, 46, 74 and 72? (a) 72 (b) 60 (c) 59 (d) 61
  21. 21.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 45? (a) 77 (b) 53 (c) 40 (d) 45
  22. 22.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 45 (b) 50 (c) 101 (d) 44
  23. 23.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 47 (b) 32 (c) 59 (d) 20
  24. 24.What is the average of 58, 63, 55, 76, 57 and 111? (a) 84 (b) 71 (c) 70 (d) 69
  25. 25.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 16 (b) 49 (c) 37 (d) 35
  26. 26.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 31 (c) 30 (d) 34
  27. 27.What is the average of 67, 53, 60, 76 and 49? (a) 62 (b) 61 (c) 60 (d) 63
  28. 28.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 33 (c) 50 (d) 73
  29. 29.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 6 (b) 7 (c) 18 (d) 40
  30. 30.What is the average of 30, 23, 8, 35 and 4? (a) 19 (b) 21 (c) 25 (d) 20
  31. 31.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 41 (b) 50 (c) 12 (d) 79
  32. 32.What is the average of all the whole numbers from 16 to 48? (a) 32 (b) 33 (c) 31 (d) 16
  33. 33.What is the average of all the whole numbers from 23 to 53? (a) 30 (b) 39 (c) 15 (d) 38
  34. 34.What is the average of 64, 61, 46, 44, 69 and 70? (a) 59 (b) 60 (c) 58 (d) 61
  35. 35.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 73 (c) 115 (d) 56
  36. 36.What is the average of all the whole numbers from 27 to 59? (a) 43 (b) 44 (c) 16 (d) 32
  37. 37.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 43 (b) 38 (c) 88 (d) 37
  38. 38.What is the average of 70, 50, 63 and 49? (a) 60 (b) 59 (c) 58 (d) 57
  39. 39.What is the average of 44, 25, 19, 35 and 27? (a) 29 (b) 31 (c) 32 (d) 30
  40. 40.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 11 (c) 10 (d) 31

Answer key

  1. 29
  2. 47
  3. 68
  4. 60
  5. 36
  6. 56
  7. 44
  8. 71
  9. 47
  10. 46
  11. 54
  12. 62
  13. 71
  14. 42
  15. 29
  16. 24
  17. 69
  18. 56
  19. 74
  20. 60
  21. 77
  22. 44
  23. 47
  24. 70
  25. 49
  26. 30
  27. 61
  28. 73
  29. 6
  30. 20
  31. 50
  32. 32
  33. 38
  34. 59
  35. 115
  36. 43
  37. 37
  38. 58
  39. 30
  40. 10

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