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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 404 · 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 7 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 13 (b) 89 (c) 42 (d) 12
  2. 2.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 31 (c) 30 (d) 50
  3. 3.What is the average of all the whole numbers from 39 to 63? (a) 24 (b) 12 (c) 52 (d) 51
  4. 4.What is the average of all the whole numbers from 34 to 74? (a) 54 (b) 20 (c) 40 (d) 55
  5. 5.What is the average of 22, 30, 23, 34, 20 and 81? (a) 36 (b) 35 (c) 42 (d) 34
  6. 6.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 16 (c) 31 (d) 27
  7. 7.What is the average of all the whole numbers from 50 to 60? (a) 56 (b) 10 (c) 55 (d) 5
  8. 8.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 48? (a) 48 (b) 10 (c) 56 (d) 50
  9. 9.What is the average of 59, 75, 70 and 64? (a) 66 (b) 68 (c) 67 (d) 69
  10. 10.What is the average of all the whole numbers from 41 to 57? (a) 16 (b) 50 (c) 49 (d) 8
  11. 11.What is the average of all the whole numbers from 26 to 64? (a) 19 (b) 45 (c) 38 (d) 46
  12. 12.What is the average of 52, 47, 58 and 79? (a) 61 (b) 60 (c) 59 (d) 58
  13. 13.What is the average of 24, 25, 29, 29 and 48? (a) 33 (b) 30 (c) 31 (d) 32
  14. 14.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 24 (b) 91 (c) 23 (d) 43
  15. 15.What is the average of all the whole numbers from 51 to 65? (a) 7 (b) 58 (c) 59 (d) 14
  16. 16.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 48 (b) 61 (c) 97 (d) 55
  17. 17.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 24? (a) 32 (b) 10 (c) 26 (d) 24
  18. 18.What is the average of all the whole numbers from 60 to 80? (a) 71 (b) 10 (c) 70 (d) 20
  19. 19.What is the average of all the whole numbers from 35 to 47? (a) 6 (b) 41 (c) 42 (d) 12
  20. 20.What is the average of all the whole numbers from 6 to 26? (a) 16 (b) 20 (c) 10 (d) 17
  21. 21.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 45 (c) 21 (d) 51
  22. 22.What is the average of 82, 58, 82 and 62? (a) 72 (b) 73 (c) 70 (d) 71
  23. 23.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 39 (b) 18 (c) 10 (d) 9
  24. 24.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 32 (b) 55 (c) 59 (d) 83
  25. 25.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 46 (c) 42 (d) 93
  26. 26.What is the average of 80, 68, 63, 51 and 68? (a) 65 (b) 67 (c) 68 (d) 66
  27. 27.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 54 (c) 16 (d) 80
  28. 28.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 92 (b) 48 (c) 60 (d) 52
  29. 29.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 66 (b) 7 (c) 8 (d) 31
  30. 30.What is the average of all the whole numbers from 20 to 50? (a) 35 (b) 36 (c) 15 (d) 30
  31. 31.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 61 (c) 72 (d) 117
  32. 32.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 12 (b) 31 (c) 21 (d) 40
  33. 33.What is the average of 15, 19, 13 and 65? (a) 27 (b) 29 (c) 30 (d) 28
  34. 34.What is the average of all the whole numbers from 11 to 27? (a) 16 (b) 19 (c) 8 (d) 20
  35. 35.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 20 (b) 47 (c) 62 (d) 52
  36. 36.What is the average of all the whole numbers from 30 to 62? (a) 46 (b) 47 (c) 32 (d) 16
  37. 37.What is the average of all the whole numbers from 49 to 89? (a) 40 (b) 69 (c) 70 (d) 20
  38. 38.What is the average of all the whole numbers from 16 to 54? (a) 19 (b) 38 (c) 35 (d) 36
  39. 39.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 61 (c) 27 (d) 30
  40. 40.What is the average of 68, 88, 65, 76 and 98? (a) 78 (b) 79 (c) 80 (d) 81

Answer key

  1. 12
  2. 30
  3. 51
  4. 54
  5. 35
  6. 31
  7. 55
  8. 56
  9. 67
  10. 49
  11. 45
  12. 59
  13. 31
  14. 23
  15. 58
  16. 97
  17. 32
  18. 70
  19. 41
  20. 16
  21. 45
  22. 71
  23. 9
  24. 83
  25. 42
  26. 66
  27. 54
  28. 92
  29. 7
  30. 35
  31. 117
  32. 31
  33. 28
  34. 19
  35. 62
  36. 46
  37. 69
  38. 35
  39. 27
  40. 79

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