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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 111 · 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 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 16 (c) 15 (d) 18
  2. 2.What is the average of 60, 44, 73 and 59? (a) 61 (b) 60 (c) 58 (d) 59
  3. 3.What is the average of 30, 26, 17 and 23? (a) 25 (b) 32 (c) 23 (d) 24
  4. 4.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 29 (b) 82 (c) 28 (d) 40
  5. 5.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 58 (c) 18 (d) 83
  6. 6.What is the average of all the whole numbers from 56 to 70? (a) 14 (b) 64 (c) 63 (d) 7
  7. 7.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 6 (b) 34 (c) 7 (d) 16
  8. 8.What is the average of 67, 48, 62, 68 and 35? (a) 70 (b) 56 (c) 55 (d) 57
  9. 9.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 41 (b) 53 (c) 38 (d) 18
  10. 10.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 14 (b) 74 (c) 64 (d) 62
  11. 11.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 88 (c) 60 (d) 36
  12. 12.What is the average of 59, 76, 69 and 84? (a) 96 (b) 73 (c) 71 (d) 72
  13. 13.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 31 (b) 32 (c) 43 (d) 88
  14. 14.What is the average of all the whole numbers from 13 to 19? (a) 6 (b) 3 (c) 17 (d) 16
  15. 15.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 97 (b) 47 (c) 39 (d) 38
  16. 16.What is the average of all the whole numbers from 54 to 76? (a) 11 (b) 66 (c) 65 (d) 22
  17. 17.What is the average of all the whole numbers from 8 to 34? (a) 21 (b) 26 (c) 13 (d) 22
  18. 18.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 8 (c) 58 (d) 54
  19. 19.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 33 (c) 16 (d) 38
  20. 20.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 60 (c) 40 (d) 28
  21. 21.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 14 (b) 13 (c) 47 (d) 22
  22. 22.What is the average of all the whole numbers from 57 to 85? (a) 72 (b) 28 (c) 14 (d) 71
  23. 23.What is the average of 74, 73, 67, 57 and 44? (a) 65 (b) 62 (c) 64 (d) 63
  24. 24.What is the average of all the whole numbers from 7 to 35? (a) 28 (b) 21 (c) 14 (d) 22
  25. 25.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 11 (c) 22 (d) 34
  26. 26.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 42 (b) 29 (c) 64 (d) 36
  27. 27.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 21 (b) 41 (c) 59 (d) 44
  28. 28.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 23 (c) 7 (d) 6
  29. 29.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 20 (c) 79 (d) 69
  30. 30.What is the average of 16, 17, 36 and 31? (a) 26 (b) 25 (c) 24 (d) 27
  31. 31.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 53 (b) 43 (c) 12 (d) 45
  32. 32.What is the average of 76, 60, 85 and 71? (a) 75 (b) 72 (c) 74 (d) 73
  33. 33.What is the average of all the whole numbers from 34 to 50? (a) 8 (b) 43 (c) 42 (d) 16
  34. 34.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 6 (b) 29 (c) 47 (d) 24
  35. 35.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 95 (b) 60 (c) 42 (d) 67
  36. 36.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 56 (b) 8 (c) 54 (d) 60
  37. 37.What is the average of 29, 31, 23, 46 and 31? (a) 32 (b) 33 (c) 31 (d) 40
  38. 38.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 6 (b) 16 (c) 11 (d) 21
  39. 39.What is the average of all the whole numbers from 6 to 18? (a) 6 (b) 13 (c) 11 (d) 12
  40. 40.What is the average of all the whole numbers from 57 to 77? (a) 20 (b) 67 (c) 68 (d) 10

Answer key

  1. 15
  2. 59
  3. 24
  4. 28
  5. 58
  6. 63
  7. 6
  8. 56
  9. 53
  10. 74
  11. 88
  12. 72
  13. 31
  14. 16
  15. 38
  16. 65
  17. 21
  18. 58
  19. 33
  20. 60
  21. 13
  22. 71
  23. 63
  24. 21
  25. 34
  26. 64
  27. 59
  28. 6
  29. 79
  30. 25
  31. 53
  32. 73
  33. 42
  34. 29
  35. 95
  36. 60
  37. 32
  38. 16
  39. 12
  40. 67

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