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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 293 · 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 84, 81, 61 and 50? (a) 69 (b) 70 (c) 92 (d) 68
  2. 2.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 14 (b) 18 (c) 13 (d) 37
  3. 3.What is the average of 87, 82, 78 and 69? (a) 80 (b) 79 (c) 81 (d) 78
  4. 4.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 37 (b) 28 (c) 22 (d) 13
  5. 5.What is the average of 75, 76, 68, 72 and 104? (a) 78 (b) 80 (c) 79 (d) 81
  6. 6.What is the average of all the whole numbers from 29 to 39? (a) 5 (b) 34 (c) 10 (d) 35
  7. 7.What is the average of all the whole numbers from 8 to 18? (a) 10 (b) 13 (c) 5 (d) 14
  8. 8.What is the average of 14, 8, 36, 9, 27 and 32? (a) 21 (b) 20 (c) 22 (d) 23
  9. 9.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 40 (b) 50 (c) 16 (d) 26
  10. 10.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 20 (b) 76 (c) 64 (d) 60
  11. 11.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 81 (b) 49 (c) 46 (d) 39
  12. 12.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 20 (b) 38 (c) 72 (d) 54
  13. 13.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 37 (b) 30 (c) 17 (d) 24
  14. 14.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 81 (c) 45 (d) 42
  15. 15.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 60 (c) 104 (d) 56
  16. 16.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 34 (b) 6 (c) 29 (d) 57
  17. 17.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 53 (c) 24 (d) 32
  18. 18.What is the average of 75, 87, 87 and 67? (a) 78 (b) 81 (c) 80 (d) 79
  19. 19.What is the average of 26, 32, 7, 13, 29 and 25? (a) 21 (b) 24 (c) 23 (d) 22
  20. 20.What is the average of all the whole numbers from 38 to 56? (a) 18 (b) 9 (c) 48 (d) 47
  21. 21.What is the average of all the whole numbers from 59 to 87? (a) 73 (b) 28 (c) 14 (d) 74
  22. 22.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 74 (c) 32 (d) 39
  23. 23.What is the average of 18, 24, 15 and 51? (a) 28 (b) 26 (c) 27 (d) 36
  24. 24.What is the average of all the whole numbers from 22 to 62? (a) 43 (b) 40 (c) 20 (d) 42
  25. 25.What is the average of 39, 59, 61, 40, 55 and 64? (a) 54 (b) 52 (c) 55 (d) 53
  26. 26.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 30 (c) 59 (d) 32
  27. 27.What is the average of 53, 29, 44, 38 and 51? (a) 45 (b) 42 (c) 43 (d) 44
  28. 28.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 48 (b) 56 (c) 64 (d) 96
  29. 29.What is the average of all the whole numbers from 57 to 77? (a) 67 (b) 68 (c) 10 (d) 20
  30. 30.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 80 (b) 62 (c) 126 (d) 54
  31. 31.What is the average of all the whole numbers from 20 to 52? (a) 37 (b) 16 (c) 36 (d) 32
  32. 32.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 42? (a) 47 (b) 62 (c) 42 (d) 25
  33. 33.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 65 (b) 24 (c) 34 (d) 55
  34. 34.What is the average of 15, 25, 18, 38 and 44? (a) 29 (b) 35 (c) 27 (d) 28
  35. 35.What is the average of all the whole numbers from 55 to 79? (a) 24 (b) 68 (c) 12 (d) 67
  36. 36.What is the average of 38, 31, 29, 24 and 3? (a) 27 (b) 24 (c) 25 (d) 26
  37. 37.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 4 (b) 29 (c) 51 (d) 26
  38. 38.What is the average of all the whole numbers from 5 to 21? (a) 14 (b) 13 (c) 16 (d) 8
  39. 39.What is the average of 60, 46, 45, 49, 60 and 58? (a) 55 (b) 54 (c) 52 (d) 53
  40. 40.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 12 (c) 36 (d) 30

Answer key

  1. 69
  2. 13
  3. 79
  4. 37
  5. 79
  6. 34
  7. 13
  8. 21
  9. 40
  10. 76
  11. 81
  12. 54
  13. 37
  14. 81
  15. 104
  16. 34
  17. 53
  18. 79
  19. 22
  20. 47
  21. 73
  22. 67
  23. 27
  24. 42
  25. 53
  26. 57
  27. 43
  28. 96
  29. 67
  30. 126
  31. 36
  32. 62
  33. 55
  34. 28
  35. 67
  36. 25
  37. 29
  38. 13
  39. 53
  40. 36

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