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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 693 · 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.What is the average of 51, 36, 36 and 25? (a) 39 (b) 36 (c) 37 (d) 38
  2. 2.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 15 (b) 51 (c) 54 (d) 63
  3. 3.What is the average of 66, 68, 69, 60, 41 and 32? (a) 58 (b) 55 (c) 56 (d) 57
  4. 4.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 23 (b) 59 (c) 22 (d) 29
  5. 5.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 28 (c) 8 (d) 26
  6. 6.What is the average of all the whole numbers from 32 to 60? (a) 14 (b) 28 (c) 47 (d) 46
  7. 7.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 25 (b) 64 (c) 49 (d) 44
  8. 8.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 53 (b) 33 (c) 7 (d) 27
  9. 9.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 50 (c) 78 (d) 38
  10. 10.What is the average of 68, 41, 48, 61, 49 and 57? (a) 54 (b) 53 (c) 55 (d) 56
  11. 11.What is the average of 58, 44, 40, 40 and 33? (a) 44 (b) 42 (c) 45 (d) 43
  12. 12.What is the average of all the whole numbers from 30 to 48? (a) 39 (b) 40 (c) 9 (d) 18
  13. 13.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 51 (b) 39 (c) 76 (d) 14
  14. 14.What is the average of 28, 40, 16, 17, 26 and 47? (a) 30 (b) 31 (c) 28 (d) 29
  15. 15.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 97 (c) 55 (d) 56
  16. 16.What is the average of 78, 85, 81, 77 and 44? (a) 75 (b) 73 (c) 72 (d) 74
  17. 17.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 26 (b) 64 (c) 31 (d) 25
  18. 18.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 43 (b) 58 (c) 31 (d) 16
  19. 19.What is the average of all the whole numbers from 22 to 60? (a) 42 (b) 38 (c) 41 (d) 19
  20. 20.What is the average of all the whole numbers from 25 to 53? (a) 14 (b) 28 (c) 40 (d) 39
  21. 21.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 25 (c) 59 (d) 26
  22. 22.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) 68 (c) 27 (d) 28
  23. 23.What is the average of 62, 57, 64, 72 and 100? (a) 72 (b) 71 (c) 73 (d) 70
  24. 24.What is the average of all the whole numbers from 17 to 55? (a) 36 (b) 37 (c) 19 (d) 38
  25. 25.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 59 (b) 31 (c) 43 (d) 15
  26. 26.What is the average of all the whole numbers from 14 to 26? (a) 21 (b) 6 (c) 20 (d) 12
  27. 27.What is the average of all the whole numbers from 8 to 36? (a) 22 (b) 23 (c) 28 (d) 14
  28. 28.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 33 (b) 42 (c) 34 (d) 87
  29. 29.What is the average of 75, 71, 74 and 88? (a) 77 (b) 76 (c) 78 (d) 79
  30. 30.What is the average of 47, 60, 56 and 69? (a) 60 (b) 58 (c) 57 (d) 59
  31. 31.What is the average of all the whole numbers from 18 to 38? (a) 29 (b) 20 (c) 10 (d) 28
  32. 32.What is the average of 60, 71, 59, 75 and 60? (a) 66 (b) 64 (c) 65 (d) 67
  33. 33.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 62 (c) 27 (d) 40
  34. 34.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 54 (b) 33 (c) 27 (d) 75
  35. 35.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 96 (b) 42 (c) 68 (d) 61
  36. 36.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 66 (c) 54 (d) 51
  37. 37.What is the average of all the whole numbers from 20 to 60? (a) 40 (b) 39 (c) 20 (d) 41
  38. 38.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 24 (b) 47 (c) 30 (d) 7
  39. 39.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 84 (b) 44 (c) 64 (d) 24
  40. 40.What is the average of 34, 41, 25, 32 and 48? (a) 45 (b) 36 (c) 35 (d) 37

Answer key

  1. 37
  2. 63
  3. 56
  4. 22
  5. 32
  6. 46
  7. 64
  8. 33
  9. 78
  10. 54
  11. 43
  12. 39
  13. 51
  14. 29
  15. 97
  16. 73
  17. 25
  18. 43
  19. 41
  20. 39
  21. 25
  22. 27
  23. 71
  24. 36
  25. 43
  26. 20
  27. 22
  28. 33
  29. 77
  30. 58
  31. 28
  32. 65
  33. 62
  34. 75
  35. 96
  36. 66
  37. 40
  38. 30
  39. 64
  40. 36

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