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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 779 · 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 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 21 (b) 41 (c) 40 (d) 22
  2. 2.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 69 (b) 60 (c) 57 (d) 15
  3. 3.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 36 (c) 35 (d) 67
  4. 4.What is the average of 39, 35, 52, 45, 60 and 39? (a) 45 (b) 54 (c) 44 (d) 46
  5. 5.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 42 (b) 17 (c) 30 (d) 29
  6. 6.What is the average of all the whole numbers from 21 to 35? (a) 29 (b) 7 (c) 28 (d) 14
  7. 7.What is the average of all the whole numbers from 57 to 83? (a) 71 (b) 70 (c) 13 (d) 26
  8. 8.What is the average of 27, 46, 45 and 10? (a) 33 (b) 34 (c) 32 (d) 31
  9. 9.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 68 (b) 36 (c) 40 (d) 44
  10. 10.What is the average of 54, 67, 56 and 39? (a) 72 (b) 55 (c) 53 (d) 54
  11. 11.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 10 (c) 66 (d) 42
  12. 12.What is the average of 32, 34, 58, 33, 37 and 82? (a) 46 (b) 45 (c) 47 (d) 48
  13. 13.What is the average of all the whole numbers from 16 to 48? (a) 16 (b) 33 (c) 32 (d) 31
  14. 14.What is the average of 39, 55, 46 and 68? (a) 51 (b) 52 (c) 53 (d) 54
  15. 15.What is the average of 82, 61, 81, 64, 68 and 70? (a) 73 (b) 72 (c) 70 (d) 71
  16. 16.What is the average of all the whole numbers from 7 to 19? (a) 12 (b) 6 (c) 13 (d) 14
  17. 17.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 25 (c) 95 (d) 70
  18. 18.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 91 (d) 56
  19. 19.What is the average of 35, 26, 16, 32, 13 and 40? (a) 26 (b) 27 (c) 29 (d) 28
  20. 20.What is the average of all the whole numbers from 54 to 72? (a) 18 (b) 63 (c) 9 (d) 64
  21. 21.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 99 (b) 43 (c) 49 (d) 44
  22. 22.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 42 (c) 48 (d) 20
  23. 23.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 39? (a) 57 (b) 39 (c) 45 (d) 24
  24. 24.What is the average of 48, 46, 66, 51 and 79? (a) 57 (b) 59 (c) 60 (d) 58
  25. 25.What is the average of all the whole numbers from 13 to 53? (a) 40 (b) 20 (c) 33 (d) 34
  26. 26.What is the average of all the whole numbers from 46 to 56? (a) 52 (b) 5 (c) 51 (d) 10
  27. 27.What is the average of 66, 47, 65, 70, 74 and 38? (a) 72 (b) 59 (c) 61 (d) 60
  28. 28.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 44 (c) 42 (d) 41
  29. 29.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 20 (c) 51 (d) 28
  30. 30.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 40 (c) 60 (d) 25
  31. 31.What is the average of 50, 68, 49, 68 and 85? (a) 64 (b) 65 (c) 80 (d) 63
  32. 32.What is the average of 15, 15, 41 and 37? (a) 27 (b) 28 (c) 36 (d) 26
  33. 33.What is the average of all the whole numbers from 18 to 50? (a) 35 (b) 32 (c) 16 (d) 34
  34. 34.The average of 4 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) 24 (d) 25
  35. 35.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 44 (b) 4 (c) 5 (d) 20
  36. 36.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 45 (b) 95 (c) 10 (d) 11
  37. 37.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 14 (c) 35 (d) 23
  38. 38.What is the average of all the whole numbers from 6 to 26? (a) 10 (b) 20 (c) 17 (d) 16
  39. 39.What is the average of all the whole numbers from 17 to 47? (a) 30 (b) 15 (c) 33 (d) 32
  40. 40.What is the average of 35, 36, 8, 35, 9 and 15? (a) 22 (b) 25 (c) 24 (d) 23

Answer key

  1. 40
  2. 69
  3. 67
  4. 45
  5. 42
  6. 28
  7. 70
  8. 32
  9. 68
  10. 54
  11. 42
  12. 46
  13. 32
  14. 52
  15. 71
  16. 13
  17. 70
  18. 91
  19. 27
  20. 63
  21. 43
  22. 42
  23. 57
  24. 58
  25. 33
  26. 51
  27. 60
  28. 41
  29. 43
  30. 60
  31. 64
  32. 27
  33. 34
  34. 24
  35. 4
  36. 10
  37. 35
  38. 16
  39. 32
  40. 23

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