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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 147 · 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 all the whole numbers from 7 to 43? (a) 26 (b) 25 (c) 36 (d) 18
  2. 2.What is the average of all the whole numbers from 58 to 86? (a) 14 (b) 73 (c) 72 (d) 28
  3. 3.What is the average of 21, 30, 39, 36, 29 and 7? (a) 29 (b) 26 (c) 28 (d) 27
  4. 4.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 126 (c) 63 (d) 127
  5. 5.What is the average of all the whole numbers from 58 to 74? (a) 16 (b) 8 (c) 67 (d) 66
  6. 6.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 42 (c) 53 (d) 89
  7. 7.What is the average of 51, 74, 50, 51, 49 and 103? (a) 64 (b) 63 (c) 65 (d) 62
  8. 8.What is the average of 45, 27, 48, 35, 50 and 17? (a) 39 (b) 37 (c) 38 (d) 36
  9. 9.What is the average of 62, 63, 50, 50, 52 and 11? (a) 49 (b) 48 (c) 47 (d) 50
  10. 10.What is the average of all the whole numbers from 31 to 61? (a) 30 (b) 15 (c) 47 (d) 46
  11. 11.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 40 (c) 8 (d) 44
  12. 12.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 40 (c) 35 (d) 21
  13. 13.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 36 (b) 31 (c) 74 (d) 30
  14. 14.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 44 (b) 12 (c) 21 (d) 11
  15. 15.What is the average of all the whole numbers from 8 to 22? (a) 7 (b) 16 (c) 14 (d) 15
  16. 16.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 28 (c) 83 (d) 29
  17. 17.What is the average of 25, 48, 48, 36 and 43? (a) 40 (b) 39 (c) 50 (d) 41
  18. 18.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 20 (b) 17 (c) 29 (d) 32
  19. 19.What is the average of 58, 60, 80 and 66? (a) 65 (b) 67 (c) 66 (d) 88
  20. 20.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 54 (c) 53 (d) 29
  21. 21.What is the average of all the whole numbers from 37 to 71? (a) 34 (b) 17 (c) 55 (d) 54
  22. 22.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 25? (a) 25 (b) 15 (c) 37 (d) 28
  23. 23.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 40 (c) 24 (d) 56
  24. 24.What is the average of 66, 83, 72, 71, 82 and 94? (a) 77 (b) 79 (c) 80 (d) 78
  25. 25.What is the average of 36, 49, 51, 29 and 15? (a) 45 (b) 37 (c) 36 (d) 35
  26. 26.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 36 (c) 8 (d) 30
  27. 27.What is the average of all the whole numbers from 44 to 56? (a) 12 (b) 51 (c) 50 (d) 6
  28. 28.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 44 (b) 40 (c) 28 (d) 64
  29. 29.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 5 (c) 17 (d) 18
  30. 30.What is the average of all the whole numbers from 54 to 62? (a) 4 (b) 58 (c) 59 (d) 8
  31. 31.What is the average of 33, 28, 40, 35, 38 and 54? (a) 40 (b) 38 (c) 37 (d) 39
  32. 32.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 44 (b) 29 (c) 21 (d) 26
  33. 33.What is the average of all the whole numbers from 11 to 21? (a) 5 (b) 10 (c) 17 (d) 16
  34. 34.What is the average of all the whole numbers from 43 to 65? (a) 11 (b) 22 (c) 54 (d) 55
  35. 35.What is the average of 74, 77, 65, 69 and 110? (a) 81 (b) 79 (c) 78 (d) 80
  36. 36.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 66 (b) 20 (c) 54 (d) 50
  37. 37.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 36 (c) 3 (d) 4
  38. 38.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 21 (c) 8 (d) 11
  39. 39.What is the average of 41, 35, 40, 49 and 45? (a) 43 (b) 41 (c) 44 (d) 42
  40. 40.What is the average of 14, 35, 43 and 24? (a) 28 (b) 30 (c) 31 (d) 29

Answer key

  1. 25
  2. 72
  3. 27
  4. 126
  5. 66
  6. 89
  7. 63
  8. 37
  9. 48
  10. 46
  11. 44
  12. 35
  13. 30
  14. 11
  15. 15
  16. 28
  17. 40
  18. 32
  19. 66
  20. 53
  21. 54
  22. 37
  23. 56
  24. 78
  25. 36
  26. 36
  27. 50
  28. 64
  29. 17
  30. 58
  31. 38
  32. 44
  33. 16
  34. 54
  35. 79
  36. 66
  37. 3
  38. 18
  39. 42
  40. 29

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