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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 999 · 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 58, 65, 57 and 64? (a) 62 (b) 61 (c) 60 (d) 63
  2. 2.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 44 (b) 20 (c) 36 (d) 28
  3. 3.What is the average of 61, 51, 45 and 75? (a) 57 (b) 58 (c) 60 (d) 59
  4. 4.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 21 (b) 40 (c) 77 (d) 58
  5. 5.What is the average of 39, 50, 48, 60 and 63? (a) 51 (b) 53 (c) 65 (d) 52
  6. 6.What is the average of 14, 30, 16, 18 and 62? (a) 35 (b) 29 (c) 28 (d) 27
  7. 7.What is the average of 66, 63, 58, 67 and 16? (a) 56 (b) 55 (c) 53 (d) 54
  8. 8.What is the average of all the whole numbers from 49 to 75? (a) 63 (b) 13 (c) 62 (d) 26
  9. 9.What is the average of all the whole numbers from 6 to 12? (a) 9 (b) 6 (c) 10 (d) 3
  10. 10.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 45 (b) 52 (c) 57 (d) 92
  11. 11.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 57 (c) 106 (d) 63
  12. 12.What is the average of all the whole numbers from 57 to 67? (a) 5 (b) 63 (c) 10 (d) 62
  13. 13.What is the average of 27, 42, 34 and 29? (a) 34 (b) 44 (c) 32 (d) 33
  14. 14.What is the average of all the whole numbers from 8 to 44? (a) 27 (b) 36 (c) 26 (d) 18
  15. 15.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 77 (c) 29 (d) 54
  16. 16.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 71 (b) 101 (c) 65 (d) 42
  17. 17.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 8 (c) 65 (d) 40
  18. 18.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 50 (c) 85 (d) 8
  19. 19.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 31 (c) 63 (d) 36
  20. 20.What is the average of 12, 36, 15 and 37? (a) 25 (b) 27 (c) 26 (d) 24
  21. 21.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 102 (b) 50 (c) 45 (d) 44
  22. 22.What is the average of all the whole numbers from 26 to 46? (a) 10 (b) 36 (c) 37 (d) 20
  23. 23.What is the average of 19, 30, 33 and 54? (a) 36 (b) 33 (c) 34 (d) 35
  24. 24.What is the average of 17, 30, 29, 35 and 9? (a) 24 (b) 25 (c) 23 (d) 30
  25. 25.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 10 (b) 9 (c) 83 (d) 39
  26. 26.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 94 (b) 33 (c) 46 (d) 32
  27. 27.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 62 (b) 34 (c) 32 (d) 38
  28. 28.What is the average of all the whole numbers from 5 to 35? (a) 15 (b) 20 (c) 30 (d) 21
  29. 29.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 40 (b) 12 (c) 47 (d) 19
  30. 30.What is the average of 13, 27, 21, 9 and 35? (a) 20 (b) 23 (c) 21 (d) 22
  31. 31.What is the average of all the whole numbers from 20 to 56? (a) 36 (b) 39 (c) 38 (d) 18
  32. 32.What is the average of 80, 72, 73, 71, 53 and 41? (a) 65 (b) 78 (c) 66 (d) 64
  33. 33.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 35 (b) 48 (c) 69 (d) 41
  34. 34.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 30 (c) 73 (d) 48
  35. 35.What is the average of 38, 25, 24 and 49? (a) 34 (b) 35 (c) 33 (d) 36
  36. 36.What is the average of all the whole numbers from 28 to 34? (a) 6 (b) 3 (c) 31 (d) 32
  37. 37.What is the average of 49, 44, 24 and 39? (a) 38 (b) 40 (c) 39 (d) 52
  38. 38.What is the average of all the whole numbers from 50 to 88? (a) 19 (b) 70 (c) 69 (d) 38
  39. 39.What is the average of all the whole numbers from 5 to 13? (a) 8 (b) 10 (c) 4 (d) 9
  40. 40.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 41 (c) 25 (d) 46

Answer key

  1. 61
  2. 44
  3. 58
  4. 58
  5. 52
  6. 28
  7. 54
  8. 62
  9. 9
  10. 92
  11. 106
  12. 62
  13. 33
  14. 26
  15. 77
  16. 101
  17. 40
  18. 50
  19. 63
  20. 25
  21. 44
  22. 36
  23. 34
  24. 24
  25. 9
  26. 32
  27. 62
  28. 20
  29. 47
  30. 21
  31. 38
  32. 65
  33. 69
  34. 73
  35. 34
  36. 31
  37. 39
  38. 69
  39. 9
  40. 41

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