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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 506 · 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 41, 63, 53, 49 and 34? (a) 49 (b) 48 (c) 60 (d) 47
  2. 2.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 24 (b) 46 (c) 88 (d) 66
  3. 3.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 35 (b) 36 (c) 41 (d) 66
  4. 4.What is the average of all the whole numbers from 48 to 72? (a) 24 (b) 61 (c) 60 (d) 12
  5. 5.What is the average of 43, 64, 36 and 53? (a) 51 (b) 50 (c) 48 (d) 49
  6. 6.What is the average of 56, 55, 80 and 89? (a) 72 (b) 69 (c) 70 (d) 71
  7. 7.What is the average of all the whole numbers from 5 to 11? (a) 8 (b) 9 (c) 6 (d) 3
  8. 8.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 19 (b) 8 (c) 12 (d) 23
  9. 9.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 79 (b) 59 (c) 64 (d) 25
  10. 10.What is the average of 65, 83, 92 and 80? (a) 81 (b) 79 (c) 82 (d) 80
  11. 11.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 30 (b) 58 (c) 64 (d) 82
  12. 12.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 17 (b) 25 (c) 32 (d) 10
  13. 13.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 32 (c) 50 (d) 55
  14. 14.What is the average of 24, 32, 17, 31 and 31? (a) 29 (b) 26 (c) 28 (d) 27
  15. 15.What is the average of all the whole numbers from 8 to 40? (a) 16 (b) 25 (c) 24 (d) 32
  16. 16.What is the average of 70, 67, 76 and 87? (a) 75 (b) 74 (c) 100 (d) 76
  17. 17.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 24 (b) 41 (c) 45 (d) 61
  18. 18.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 14 (c) 20 (d) 29
  19. 19.What is the average of 42, 34, 33 and 7? (a) 28 (b) 31 (c) 30 (d) 29
  20. 20.What is the average of 52, 49, 72, 59, 58 and 82? (a) 63 (b) 64 (c) 61 (d) 62
  21. 21.What is the average of all the whole numbers from 41 to 55? (a) 7 (b) 48 (c) 14 (d) 49
  22. 22.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 34 (c) 25 (d) 12
  23. 23.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 34 (b) 33 (c) 36 (d) 73
  24. 24.What is the average of 12, 29, 17, 33, 35 and 24? (a) 26 (b) 25 (c) 24 (d) 30
  25. 25.What is the average of 23, 16, 22 and 63? (a) 32 (b) 33 (c) 30 (d) 31
  26. 26.What is the average of all the whole numbers from 12 to 48? (a) 36 (b) 31 (c) 30 (d) 18
  27. 27.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 57 (c) 60 (d) 27
  28. 28.What is the average of 65, 82, 78, 66, 69 and 78? (a) 72 (b) 74 (c) 73 (d) 75
  29. 29.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 10 (c) 84 (d) 51
  30. 30.What is the average of 46, 45, 38 and 79? (a) 51 (b) 54 (c) 52 (d) 53
  31. 31.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 34 (c) 82 (d) 56
  32. 32.What is the average of 59, 71, 54 and 44? (a) 76 (b) 57 (c) 58 (d) 56
  33. 33.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 18 (b) 64 (c) 49 (d) 52
  34. 34.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 40 (c) 98 (d) 66
  35. 35.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 24 (b) 78 (c) 60 (d) 66
  36. 36.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 13 (b) 46 (c) 12 (d) 22
  37. 37.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 30 (b) 14 (c) 20 (d) 24
  38. 38.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 38 (b) 24 (c) 14 (d) 28
  39. 39.What is the average of all the whole numbers from 47 to 73? (a) 26 (b) 61 (c) 60 (d) 13
  40. 40.What is the average of all the whole numbers from 57 to 69? (a) 63 (b) 64 (c) 6 (d) 12

Answer key

  1. 48
  2. 66
  3. 66
  4. 60
  5. 49
  6. 70
  7. 8
  8. 19
  9. 79
  10. 80
  11. 82
  12. 25
  13. 55
  14. 27
  15. 24
  16. 75
  17. 61
  18. 29
  19. 29
  20. 62
  21. 48
  22. 34
  23. 33
  24. 25
  25. 31
  26. 30
  27. 81
  28. 73
  29. 51
  30. 52
  31. 82
  32. 57
  33. 64
  34. 98
  35. 78
  36. 12
  37. 30
  38. 38
  39. 60
  40. 63

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