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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 545 · 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 4 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 12 (c) 36 (d) 51
  2. 2.What is the average of 43, 36, 39 and 2? (a) 40 (b) 30 (c) 31 (d) 29
  3. 3.What is the average of all the whole numbers from 6 to 38? (a) 23 (b) 22 (c) 32 (d) 16
  4. 4.What is the average of 47, 39, 29 and 25? (a) 37 (b) 34 (c) 35 (d) 36
  5. 5.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 85 (b) 64 (c) 28 (d) 71
  6. 6.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 90 (c) 12 (d) 56
  7. 7.What is the average of all the whole numbers from 40 to 60? (a) 10 (b) 50 (c) 51 (d) 20
  8. 8.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 14 (b) 17 (c) 15 (d) 35
  9. 9.What is the average of 74, 61, 77, 79 and 79? (a) 74 (b) 75 (c) 76 (d) 73
  10. 10.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 38 (c) 31 (d) 18
  11. 11.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 2 (c) 26 (d) 3
  12. 12.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 65 (b) 59 (c) 12 (d) 56
  13. 13.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 12 (b) 63 (c) 60 (d) 69
  14. 14.What is the average of all the whole numbers from 55 to 67? (a) 61 (b) 62 (c) 12 (d) 6
  15. 15.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 30 (b) 48 (c) 68 (d) 43
  16. 16.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 15 (c) 16 (d) 29
  17. 17.What is the average of 52, 30, 31, 49 and 63? (a) 46 (b) 45 (c) 47 (d) 44
  18. 18.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 54 (c) 69 (d) 18
  19. 19.What is the average of 18, 37, 29, 14, 13 and 45? (a) 26 (b) 28 (c) 25 (d) 27
  20. 20.What is the average of all the whole numbers from 10 to 36? (a) 26 (b) 13 (c) 24 (d) 23
  21. 21.What is the average of all the whole numbers from 44 to 72? (a) 14 (b) 59 (c) 58 (d) 28
  22. 22.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 49 (c) 78 (d) 77
  23. 23.What is the average of 35, 7, 20, 8, 12 and 50? (a) 21 (b) 22 (c) 23 (d) 24
  24. 24.What is the average of 66, 56, 70 and 80? (a) 70 (b) 69 (c) 67 (d) 68
  25. 25.What is the average of 21, 15, 15, 44, 36 and 43? (a) 30 (b) 31 (c) 29 (d) 28
  26. 26.What is the average of 26, 26, 18 and 54? (a) 30 (b) 33 (c) 31 (d) 32
  27. 27.What is the average of all the whole numbers from 23 to 51? (a) 37 (b) 28 (c) 38 (d) 14
  28. 28.What is the average of 82, 76, 81 and 49? (a) 72 (b) 71 (c) 73 (d) 96
  29. 29.What is the average of 22, 26, 27, 44 and 66? (a) 36 (b) 37 (c) 38 (d) 39
  30. 30.What is the average of 67, 66, 74 and 53? (a) 66 (b) 67 (c) 65 (d) 64
  31. 31.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 82 (b) 57 (c) 52 (d) 35
  32. 32.What is the average of 72, 53, 61, 45, 49 and 68? (a) 59 (b) 58 (c) 57 (d) 60
  33. 33.What is the average of all the whole numbers from 25 to 51? (a) 26 (b) 39 (c) 38 (d) 13
  34. 34.What is the average of all the whole numbers from 52 to 64? (a) 58 (b) 59 (c) 12 (d) 6
  35. 35.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 31 (b) 75 (c) 30 (d) 37
  36. 36.What is the average of 15, 32, 22 and 19? (a) 23 (b) 22 (c) 21 (d) 24
  37. 37.What is the average of all the whole numbers from 57 to 95? (a) 38 (b) 77 (c) 76 (d) 19
  38. 38.What is the average of 73, 65, 85 and 61? (a) 71 (b) 72 (c) 73 (d) 70
  39. 39.What is the average of all the whole numbers from 50 to 66? (a) 58 (b) 59 (c) 16 (d) 8
  40. 40.What is the average of all the whole numbers from 13 to 21? (a) 4 (b) 18 (c) 17 (d) 8

Answer key

  1. 36
  2. 30
  3. 22
  4. 35
  5. 85
  6. 56
  7. 50
  8. 14
  9. 74
  10. 38
  11. 2
  12. 65
  13. 69
  14. 61
  15. 68
  16. 15
  17. 45
  18. 69
  19. 26
  20. 23
  21. 58
  22. 77
  23. 22
  24. 68
  25. 29
  26. 31
  27. 37
  28. 72
  29. 37
  30. 65
  31. 82
  32. 58
  33. 38
  34. 58
  35. 30
  36. 22
  37. 76
  38. 71
  39. 58
  40. 17

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