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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 442 · 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 5 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 22 (b) 3 (c) 2 (d) 10
  2. 2.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 29 (c) 16 (d) 28
  3. 3.What is the average of all the whole numbers from 20 to 56? (a) 39 (b) 36 (c) 38 (d) 18
  4. 4.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 55 (c) 67 (d) 20
  5. 5.What is the average of all the whole numbers from 32 to 62? (a) 47 (b) 30 (c) 15 (d) 48
  6. 6.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 19 (c) 21 (d) 37
  7. 7.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 8 (c) 9 (d) 27
  8. 8.What is the average of all the whole numbers from 51 to 83? (a) 67 (b) 16 (c) 68 (d) 32
  9. 9.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 12 (c) 37 (d) 29
  10. 10.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 38 (c) 15 (d) 49
  11. 11.What is the average of all the whole numbers from 24 to 32? (a) 4 (b) 8 (c) 28 (d) 29
  12. 12.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 46 (c) 35 (d) 34
  13. 13.What is the average of 73, 48, 46, 61 and 67? (a) 60 (b) 61 (c) 59 (d) 58
  14. 14.What is the average of all the whole numbers from 49 to 75? (a) 26 (b) 62 (c) 63 (d) 13
  15. 15.What is the average of 61, 79, 78, 66 and 56? (a) 67 (b) 68 (c) 85 (d) 69
  16. 16.What is the average of 47, 21, 41, 36 and 35? (a) 36 (b) 35 (c) 37 (d) 45
  17. 17.What is the average of 27, 19, 14, 33 and 37? (a) 25 (b) 26 (c) 28 (d) 27
  18. 18.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 30 (b) 20 (c) 45 (d) 35
  19. 19.What is the average of 79, 82, 81 and 74? (a) 79 (b) 81 (c) 80 (d) 78
  20. 20.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 16 (b) 41 (c) 53 (d) 78
  21. 21.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 40 (b) 22 (c) 42 (d) 24
  22. 22.What is the average of 50, 57, 43 and 66? (a) 54 (b) 55 (c) 53 (d) 72
  23. 23.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 34 (b) 12 (c) 40 (d) 31
  24. 24.What is the average of all the whole numbers from 31 to 71? (a) 51 (b) 40 (c) 52 (d) 20
  25. 25.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) 31 (c) 16 (d) 60
  26. 26.What is the average of all the whole numbers from 50 to 62? (a) 57 (b) 6 (c) 12 (d) 56
  27. 27.What is the average of 63, 77, 84 and 52? (a) 70 (b) 69 (c) 68 (d) 92
  28. 28.What is the average of 18, 11, 30, 25, 14 and 22? (a) 21 (b) 19 (c) 24 (d) 20
  29. 29.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 35 (b) 93 (c) 65 (d) 72
  30. 30.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 95 (c) 24 (d) 70
  31. 31.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 33 (c) 16 (d) 41
  32. 32.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 20 (b) 31 (c) 57 (d) 46
  33. 33.What is the average of all the whole numbers from 38 to 78? (a) 59 (b) 20 (c) 40 (d) 58
  34. 34.What is the average of 59, 54, 56 and 75? (a) 60 (b) 61 (c) 62 (d) 63
  35. 35.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 80 (b) 43 (c) 107 (d) 35
  36. 36.What is the average of 57, 41, 49 and 49? (a) 50 (b) 51 (c) 49 (d) 48
  37. 37.What is the average of all the whole numbers from 8 to 14? (a) 3 (b) 6 (c) 12 (d) 11
  38. 38.What is the average of 33, 39, 26 and 34? (a) 44 (b) 33 (c) 32 (d) 34
  39. 39.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 4 (c) 15 (d) 8
  40. 40.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 81 (c) 56 (d) 33

Answer key

  1. 2
  2. 28
  3. 38
  4. 67
  5. 47
  6. 37
  7. 8
  8. 67
  9. 29
  10. 38
  11. 28
  12. 34
  13. 59
  14. 62
  15. 68
  16. 36
  17. 26
  18. 45
  19. 79
  20. 53
  21. 42
  22. 54
  23. 40
  24. 51
  25. 45
  26. 56
  27. 69
  28. 20
  29. 93
  30. 70
  31. 41
  32. 46
  33. 58
  34. 61
  35. 107
  36. 49
  37. 11
  38. 33
  39. 15
  40. 81

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