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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 114 · 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 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 33 (b) 28 (c) 27 (d) 68
  2. 2.What is the average of 79, 72, 62, 75 and 72? (a) 90 (b) 71 (c) 73 (d) 72
  3. 3.What is the average of 49, 42, 22, 31, 28 and 38? (a) 42 (b) 36 (c) 35 (d) 34
  4. 4.What is the average of 23, 47, 30, 40, 23 and 41? (a) 35 (b) 36 (c) 33 (d) 34
  5. 5.What is the average of all the whole numbers from 11 to 27? (a) 16 (b) 19 (c) 20 (d) 8
  6. 6.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 66? (a) 66 (b) 63 (c) 73 (d) 122
  7. 7.What is the average of 20, 31, 34, 36, 22 and 67? (a) 35 (b) 36 (c) 34 (d) 42
  8. 8.What is the average of 83, 72, 83, 84 and 23? (a) 70 (b) 68 (c) 71 (d) 69
  9. 9.What is the average of all the whole numbers from 5 to 29? (a) 24 (b) 17 (c) 12 (d) 18
  10. 10.What is the average of 77, 52, 50, 61, 62 and 76? (a) 65 (b) 62 (c) 64 (d) 63
  11. 11.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 49? (a) 49 (b) 54 (c) 25 (d) 69
  12. 12.What is the average of all the whole numbers from 29 to 63? (a) 34 (b) 46 (c) 47 (d) 17
  13. 13.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 32 (b) 71 (c) 63 (d) 87
  14. 14.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 62 (c) 21 (d) 20
  15. 15.What is the average of 28, 15, 18 and 31? (a) 22 (b) 25 (c) 23 (d) 24
  16. 16.What is the average of 74, 76, 76, 88, 63 and 85? (a) 77 (b) 78 (c) 76 (d) 79
  17. 17.What is the average of 11, 11, 18 and 40? (a) 22 (b) 21 (c) 20 (d) 19
  18. 18.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 20 (c) 37 (d) 47
  19. 19.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 48 (c) 29 (d) 69
  20. 20.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 32 (b) 61 (c) 45 (d) 37
  21. 21.What is the average of 66, 54, 57 and 91? (a) 68 (b) 66 (c) 69 (d) 67
  22. 22.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 8 (b) 56 (c) 98 (d) 50
  23. 23.What is the average of 52, 52, 53, 66 and 92? (a) 62 (b) 63 (c) 65 (d) 64
  24. 24.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 52 (b) 31 (c) 24 (d) 59
  25. 25.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 21 (b) 69 (c) 54 (d) 51
  26. 26.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 76 (c) 55 (d) 24
  27. 27.What is the average of all the whole numbers from 12 to 44? (a) 16 (b) 29 (c) 28 (d) 32
  28. 28.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 24 (b) 57 (c) 36 (d) 69
  29. 29.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 28 (b) 61 (c) 40 (d) 47
  30. 30.What is the average of 21, 23, 21 and 51? (a) 31 (b) 30 (c) 29 (d) 28
  31. 31.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 23 (c) 48 (d) 11
  32. 32.What is the average of 12, 7, 13, 31, 36 and 27? (a) 23 (b) 20 (c) 21 (d) 22
  33. 33.What is the average of all the whole numbers from 21 to 51? (a) 36 (b) 37 (c) 15 (d) 30
  34. 34.What is the average of all the whole numbers from 52 to 84? (a) 69 (b) 68 (c) 32 (d) 16
  35. 35.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 48? (a) 20 (b) 66 (c) 48 (d) 50
  36. 36.What is the average of 16, 24, 35, 37 and 43? (a) 33 (b) 31 (c) 32 (d) 30
  37. 37.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 50 (c) 87 (d) 47
  38. 38.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 6 (b) 5 (c) 21 (d) 10
  39. 39.What is the average of 19, 20, 16, 39 and 46? (a) 29 (b) 35 (c) 27 (d) 28
  40. 40.What is the average of 75, 62, 68, 64, 84 and 103? (a) 75 (b) 76 (c) 77 (d) 78

Answer key

  1. 27
  2. 72
  3. 35
  4. 34
  5. 19
  6. 122
  7. 35
  8. 69
  9. 17
  10. 63
  11. 69
  12. 46
  13. 87
  14. 20
  15. 23
  16. 77
  17. 20
  18. 47
  19. 69
  20. 61
  21. 67
  22. 56
  23. 63
  24. 52
  25. 69
  26. 76
  27. 28
  28. 57
  29. 61
  30. 29
  31. 11
  32. 21
  33. 36
  34. 68
  35. 66
  36. 31
  37. 87
  38. 5
  39. 28
  40. 76

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