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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 107 · 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 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 24 (c) 49 (d) 21
  2. 2.What is the average of all the whole numbers from 22 to 50? (a) 36 (b) 28 (c) 37 (d) 14
  3. 3.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 24 (c) 55 (d) 34
  4. 4.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 58 (c) 33 (d) 30
  5. 5.What is the average of 32, 33, 24 and 39? (a) 33 (b) 32 (c) 34 (d) 31
  6. 6.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 54 (c) 15 (d) 63
  7. 7.What is the average of all the whole numbers from 47 to 65? (a) 18 (b) 9 (c) 57 (d) 56
  8. 8.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 42 (b) 58 (c) 64 (d) 94
  9. 9.What is the average of 38, 26, 16 and 24? (a) 27 (b) 26 (c) 25 (d) 28
  10. 10.What is the average of all the whole numbers from 7 to 25? (a) 16 (b) 9 (c) 17 (d) 18
  11. 11.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 64 (b) 50 (c) 42 (d) 98
  12. 12.What is the average of 90, 76, 92, 67 and 60? (a) 78 (b) 79 (c) 77 (d) 76
  13. 13.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 76 (b) 32 (c) 60 (d) 52
  14. 14.What is the average of 72, 52, 63, 73, 72 and 52? (a) 65 (b) 66 (c) 64 (d) 63
  15. 15.What is the average of all the whole numbers from 49 to 79? (a) 30 (b) 15 (c) 64 (d) 65
  16. 16.What is the average of 19, 34, 38, 13 and 21? (a) 24 (b) 25 (c) 27 (d) 26
  17. 17.What is the average of all the whole numbers from 36 to 76? (a) 40 (b) 20 (c) 57 (d) 56
  18. 18.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 5 (c) 18 (d) 27
  19. 19.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 10 (c) 38 (d) 32
  20. 20.What is the average of all the whole numbers from 43 to 69? (a) 26 (b) 56 (c) 13 (d) 57
  21. 21.What is the average of all the whole numbers from 53 to 73? (a) 64 (b) 63 (c) 10 (d) 20
  22. 22.What is the average of all the whole numbers from 14 to 30? (a) 16 (b) 23 (c) 8 (d) 22
  23. 23.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 38 (c) 73 (d) 40
  24. 24.What is the average of 73, 70, 90 and 79? (a) 77 (b) 104 (c) 78 (d) 79
  25. 25.What is the average of all the whole numbers from 51 to 63? (a) 6 (b) 58 (c) 12 (d) 57
  26. 26.What is the average of all the whole numbers from 22 to 62? (a) 42 (b) 40 (c) 20 (d) 43
  27. 27.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 39 (b) 75 (c) 21 (d) 57
  28. 28.What is the average of all the whole numbers from 18 to 54? (a) 37 (b) 18 (c) 36 (d) 35
  29. 29.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 77 (b) 42 (c) 79 (d) 40
  30. 30.What is the average of all the whole numbers from 12 to 52? (a) 40 (b) 32 (c) 33 (d) 20
  31. 31.What is the average of 48, 59, 39 and 62? (a) 52 (b) 51 (c) 53 (d) 54
  32. 32.What is the average of 60, 85, 72, 71 and 82? (a) 74 (b) 73 (c) 76 (d) 75
  33. 33.What is the average of 51, 47, 27 and 27? (a) 37 (b) 40 (c) 38 (d) 39
  34. 34.What is the average of 33, 36, 28, 31, 20 and 56? (a) 34 (b) 33 (c) 35 (d) 36
  35. 35.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 61 (c) 49 (d) 16
  36. 36.What is the average of 58, 54, 73, 78, 56 and 71? (a) 65 (b) 78 (c) 66 (d) 64
  37. 37.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 45 (b) 60 (c) 31 (d) 16
  38. 38.What is the average of all the whole numbers from 7 to 35? (a) 28 (b) 14 (c) 22 (d) 21
  39. 39.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 4 (b) 66 (c) 31 (d) 3
  40. 40.What is the average of all the whole numbers from 55 to 65? (a) 5 (b) 10 (c) 61 (d) 60

Answer key

  1. 21
  2. 36
  3. 55
  4. 58
  5. 32
  6. 63
  7. 56
  8. 94
  9. 26
  10. 16
  11. 98
  12. 77
  13. 76
  14. 64
  15. 64
  16. 25
  17. 56
  18. 18
  19. 38
  20. 56
  21. 63
  22. 22
  23. 73
  24. 78
  25. 57
  26. 42
  27. 57
  28. 36
  29. 77
  30. 32
  31. 52
  32. 74
  33. 38
  34. 34
  35. 61
  36. 65
  37. 45
  38. 21
  39. 3
  40. 60

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