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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 495 · 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.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 12 (b) 35 (c) 43 (d) 33
  2. 2.What is the average of 47, 43, 56, 37, 55 and 56? (a) 50 (b) 48 (c) 49 (d) 51
  3. 3.What is the average of all the whole numbers from 36 to 70? (a) 53 (b) 34 (c) 54 (d) 17
  4. 4.What is the average of all the whole numbers from 30 to 56? (a) 13 (b) 44 (c) 26 (d) 43
  5. 5.What is the average of 32, 38, 16, 13, 17 and 28? (a) 25 (b) 23 (c) 26 (d) 24
  6. 6.What is the average of 46, 44, 48 and 42? (a) 44 (b) 60 (c) 45 (d) 46
  7. 7.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 52? (a) 60 (b) 52 (c) 84 (d) 40
  8. 8.What is the average of 19, 16, 29, 44, 33 and 45? (a) 31 (b) 33 (c) 32 (d) 30
  9. 9.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 53 (b) 16 (c) 41 (d) 45
  10. 10.What is the average of all the whole numbers from 22 to 44? (a) 11 (b) 34 (c) 33 (d) 22
  11. 11.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 40 (b) 61 (c) 31 (d) 26
  12. 12.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 93 (b) 56 (c) 44 (d) 51
  13. 13.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 27? (a) 25 (b) 47 (c) 32 (d) 27
  14. 14.What is the average of 42, 40, 26, 54, 53 and 19? (a) 39 (b) 41 (c) 38 (d) 40
  15. 15.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 40 (d) 89
  16. 16.What is the average of 66, 47, 42, 40 and 65? (a) 53 (b) 52 (c) 51 (d) 65
  17. 17.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 39 (b) 24 (c) 75 (d) 60
  18. 18.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) 46 (c) 57 (d) 31
  19. 19.What is the average of 67, 74, 64 and 71? (a) 92 (b) 68 (c) 70 (d) 69
  20. 20.What is the average of all the whole numbers from 43 to 69? (a) 26 (b) 57 (c) 13 (d) 56
  21. 21.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 80 (b) 29 (c) 30 (d) 39
  22. 22.What is the average of 20, 24, 21 and 19? (a) 22 (b) 21 (c) 28 (d) 20
  23. 23.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 46 (b) 7 (c) 40 (d) 79
  24. 24.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 42 (c) 46 (d) 8
  25. 25.What is the average of all the whole numbers from 31 to 57? (a) 26 (b) 44 (c) 13 (d) 45
  26. 26.What is the average of all the whole numbers from 50 to 64? (a) 57 (b) 58 (c) 14 (d) 7
  27. 27.What is the average of all the whole numbers from 13 to 23? (a) 19 (b) 5 (c) 18 (d) 10
  28. 28.What is the average of all the whole numbers from 48 to 82? (a) 17 (b) 34 (c) 66 (d) 65
  29. 29.What is the average of 63, 62, 59, 79, 63 and 64? (a) 78 (b) 66 (c) 64 (d) 65
  30. 30.What is the average of all the whole numbers from 32 to 60? (a) 46 (b) 28 (c) 14 (d) 47
  31. 31.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 73 (c) 21 (d) 56
  32. 32.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 24 (c) 35 (d) 7
  33. 33.What is the average of all the whole numbers from 37 to 49? (a) 6 (b) 12 (c) 43 (d) 44
  34. 34.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 33 (c) 38 (d) 21
  35. 35.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 28 (c) 52 (d) 32
  36. 36.What is the average of all the whole numbers from 7 to 21? (a) 7 (b) 15 (c) 13 (d) 14
  37. 37.What is the average of 27, 39, 39 and 43? (a) 36 (b) 37 (c) 39 (d) 38
  38. 38.What is the average of all the whole numbers from 37 to 55? (a) 18 (b) 47 (c) 9 (d) 46
  39. 39.What is the average of 36, 60, 66, 55 and 38? (a) 50 (b) 53 (c) 52 (d) 51
  40. 40.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 42 (c) 41 (d) 91

Answer key

  1. 43
  2. 49
  3. 53
  4. 43
  5. 24
  6. 45
  7. 84
  8. 31
  9. 53
  10. 33
  11. 61
  12. 93
  13. 47
  14. 39
  15. 89
  16. 52
  17. 60
  18. 46
  19. 69
  20. 56
  21. 29
  22. 21
  23. 46
  24. 46
  25. 44
  26. 57
  27. 18
  28. 65
  29. 65
  30. 46
  31. 56
  32. 24
  33. 43
  34. 33
  35. 52
  36. 14
  37. 37
  38. 46
  39. 51
  40. 41

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