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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 224 · 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 65, 75, 61 and 103? (a) 78 (b) 77 (c) 75 (d) 76
  2. 2.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 40 (b) 75 (c) 39 (d) 43
  3. 3.What is the average of 61, 52, 42, 51 and 69? (a) 56 (b) 54 (c) 55 (d) 57
  4. 4.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 58 (c) 90 (d) 14
  5. 5.What is the average of all the whole numbers from 48 to 58? (a) 10 (b) 53 (c) 54 (d) 5
  6. 6.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 50 (b) 46 (c) 20 (d) 62
  7. 7.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 79 (c) 30 (d) 59
  8. 8.What is the average of 66, 67, 78 and 65? (a) 69 (b) 70 (c) 68 (d) 92
  9. 9.What is the average of 52, 36, 47, 53 and 42? (a) 45 (b) 47 (c) 48 (d) 46
  10. 10.What is the average of all the whole numbers from 59 to 91? (a) 75 (b) 16 (c) 32 (d) 76
  11. 11.What is the average of 74, 92, 74 and 80? (a) 79 (b) 81 (c) 82 (d) 80
  12. 12.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 26 (c) 48 (d) 24
  13. 13.What is the average of all the whole numbers from 24 to 38? (a) 32 (b) 31 (c) 14 (d) 7
  14. 14.What is the average of 68, 56, 73 and 71? (a) 68 (b) 69 (c) 66 (d) 67
  15. 15.What is the average of 60, 71, 83, 66, 73 and 55? (a) 67 (b) 68 (c) 70 (d) 69
  16. 16.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 24 (c) 21 (d) 20
  17. 17.What is the average of 44, 26, 30, 18 and 47? (a) 32 (b) 33 (c) 34 (d) 35
  18. 18.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 63 (c) 72 (d) 121
  19. 19.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 40 (c) 84 (d) 60
  20. 20.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 17 (c) 21 (d) 18
  21. 21.What is the average of 61, 71, 47 and 61? (a) 61 (b) 59 (c) 60 (d) 80
  22. 22.What is the average of 85, 84, 78 and 65? (a) 77 (b) 79 (c) 78 (d) 104
  23. 23.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 69 (c) 45 (d) 104
  24. 24.What is the average of 58, 50, 36, 45, 39 and 48? (a) 46 (b) 48 (c) 47 (d) 45
  25. 25.What is the average of 48, 36, 39 and 21? (a) 37 (b) 35 (c) 36 (d) 48
  26. 26.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 25 (c) 21 (d) 47
  27. 27.What is the average of all the whole numbers from 27 to 47? (a) 20 (b) 10 (c) 37 (d) 38
  28. 28.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 64 (c) 40 (d) 53
  29. 29.What is the average of 55, 76, 57, 81, 71 and 80? (a) 71 (b) 70 (c) 84 (d) 69
  30. 30.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 22 (c) 25 (d) 51
  31. 31.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 5 (b) 6 (c) 40 (d) 19
  32. 32.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 56 (c) 69 (d) 111
  33. 33.What is the average of all the whole numbers from 17 to 31? (a) 24 (b) 25 (c) 14 (d) 7
  34. 34.What is the average of 29, 36, 19, 13 and 13? (a) 21 (b) 22 (c) 24 (d) 23
  35. 35.What is the average of 48, 69, 52, 61, 52 and 60? (a) 59 (b) 56 (c) 57 (d) 58
  36. 36.What is the average of all the whole numbers from 56 to 66? (a) 10 (b) 62 (c) 61 (d) 5
  37. 37.What is the average of all the whole numbers from 60 to 100? (a) 40 (b) 81 (c) 20 (d) 80
  38. 38.What is the average of 50, 35, 49, 37, 59 and 40? (a) 46 (b) 54 (c) 44 (d) 45
  39. 39.What is the average of 66, 87, 67 and 88? (a) 78 (b) 76 (c) 79 (d) 77
  40. 40.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 48 (c) 30 (d) 20

Answer key

  1. 76
  2. 75
  3. 55
  4. 58
  5. 53
  6. 62
  7. 79
  8. 69
  9. 46
  10. 75
  11. 80
  12. 46
  13. 31
  14. 67
  15. 68
  16. 20
  17. 33
  18. 121
  19. 84
  20. 17
  21. 60
  22. 78
  23. 104
  24. 46
  25. 36
  26. 43
  27. 37
  28. 64
  29. 70
  30. 21
  31. 5
  32. 111
  33. 24
  34. 22
  35. 57
  36. 61
  37. 80
  38. 45
  39. 77
  40. 48

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