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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 272 · 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 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 5 (b) 40 (c) 36 (d) 71
  2. 2.What is the average of 75, 73, 79 and 65? (a) 75 (b) 72 (c) 73 (d) 74
  3. 3.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 42 (b) 16 (c) 30 (d) 56
  4. 4.What is the average of 31, 25, 25, 44 and 60? (a) 36 (b) 38 (c) 37 (d) 39
  5. 5.What is the average of 32, 27, 10 and 23? (a) 24 (b) 22 (c) 23 (d) 25
  6. 6.What is the average of 36, 36, 32, 19 and 37? (a) 31 (b) 40 (c) 33 (d) 32
  7. 7.What is the average of 91, 88, 82, 71 and 53? (a) 77 (b) 76 (c) 79 (d) 78
  8. 8.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 8 (b) 49 (c) 23 (d) 9
  9. 9.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 57 (b) 97 (c) 50 (d) 52
  10. 10.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 35 (b) 59 (c) 62 (d) 32
  11. 11.What is the average of all the whole numbers from 34 to 42? (a) 38 (b) 4 (c) 8 (d) 39
  12. 12.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 34 (c) 10 (d) 28
  13. 13.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 7 (b) 27 (c) 14 (d) 20
  14. 14.What is the average of 19, 29, 30, 32, 15 and 13? (a) 23 (b) 24 (c) 25 (d) 22
  15. 15.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 58 (b) 12 (c) 49 (d) 52
  16. 16.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 57 (b) 53 (c) 24 (d) 73
  17. 17.What is the average of 61, 82, 64 and 97? (a) 77 (b) 75 (c) 76 (d) 78
  18. 18.What is the average of 10, 18, 21 and 39? (a) 22 (b) 24 (c) 21 (d) 23
  19. 19.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 47 (b) 93 (c) 54 (d) 8
  20. 20.What is the average of 44, 21, 25, 24 and 66? (a) 45 (b) 36 (c) 37 (d) 35
  21. 21.What is the average of 45, 27, 21, 36, 39 and 24? (a) 31 (b) 33 (c) 34 (d) 32
  22. 22.What is the average of all the whole numbers from 38 to 50? (a) 6 (b) 44 (c) 45 (d) 12
  23. 23.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 14 (c) 59 (d) 69
  24. 24.What is the average of 38, 32, 44 and 2? (a) 28 (b) 30 (c) 31 (d) 29
  25. 25.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 16 (b) 24 (c) 10 (d) 18
  26. 26.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 19 (c) 10 (d) 9
  27. 27.What is the average of 31, 40, 24, 52, 27 and 60? (a) 41 (b) 38 (c) 39 (d) 40
  28. 28.What is the average of 38, 54, 43, 61 and 49? (a) 50 (b) 48 (c) 49 (d) 51
  29. 29.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 63 (c) 100 (d) 44
  30. 30.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 55 (c) 10 (d) 53
  31. 31.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 42 (b) 71 (c) 64 (d) 99
  32. 32.What is the average of all the whole numbers from 29 to 51? (a) 41 (b) 40 (c) 22 (d) 11
  33. 33.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 44 (c) 79 (d) 45
  34. 34.What is the average of 47, 48, 33, 39, 52 and 69? (a) 49 (b) 48 (c) 47 (d) 50
  35. 35.What is the average of 55, 52, 48, 62 and 78? (a) 60 (b) 61 (c) 59 (d) 58
  36. 36.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 25 (b) 42 (c) 57 (d) 37
  37. 37.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 32 (c) 14 (d) 42
  38. 38.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 19 (b) 42 (c) 18 (d) 88
  39. 39.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 56? (a) 58 (b) 64 (c) 10 (d) 56
  40. 40.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 51 (c) 47 (d) 8

Answer key

  1. 40
  2. 73
  3. 42
  4. 37
  5. 23
  6. 32
  7. 77
  8. 8
  9. 97
  10. 62
  11. 38
  12. 34
  13. 20
  14. 23
  15. 58
  16. 73
  17. 76
  18. 22
  19. 54
  20. 36
  21. 32
  22. 44
  23. 69
  24. 29
  25. 24
  26. 9
  27. 39
  28. 49
  29. 100
  30. 61
  31. 99
  32. 40
  33. 79
  34. 48
  35. 59
  36. 57
  37. 42
  38. 18
  39. 64
  40. 51

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