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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 387 · 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 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 17 (b) 41 (c) 20 (d) 16
  2. 2.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 16 (b) 48 (c) 36 (d) 40
  3. 3.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 70 (c) 84 (d) 28
  4. 4.What is the average of all the whole numbers from 31 to 37? (a) 35 (b) 6 (c) 3 (d) 34
  5. 5.What is the average of 40, 46, 40 and 82? (a) 51 (b) 53 (c) 54 (d) 52
  6. 6.What is the average of 24, 22, 44, 18, 21 and 57? (a) 32 (b) 33 (c) 30 (d) 31
  7. 7.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 18 (c) 41 (d) 57
  8. 8.What is the average of 70, 62, 65 and 79? (a) 68 (b) 70 (c) 69 (d) 92
  9. 9.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 37 (c) 35 (d) 58
  10. 10.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 62 (c) 68 (d) 12
  11. 11.What is the average of 32, 36, 41, 19, 19 and 21? (a) 30 (b) 27 (c) 29 (d) 28
  12. 12.What is the average of 72, 85, 75, 74 and 49? (a) 72 (b) 70 (c) 73 (d) 71
  13. 13.What is the average of all the whole numbers from 26 to 60? (a) 34 (b) 44 (c) 17 (d) 43
  14. 14.What is the average of 49, 26, 42 and 27? (a) 36 (b) 35 (c) 48 (d) 37
  15. 15.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 15 (b) 34 (c) 14 (d) 72
  16. 16.What is the average of 55, 38, 35, 48 and 39? (a) 42 (b) 43 (c) 45 (d) 44
  17. 17.What is the average of all the whole numbers from 6 to 46? (a) 26 (b) 40 (c) 27 (d) 20
  18. 18.What is the average of 65, 58, 69 and 76? (a) 69 (b) 68 (c) 66 (d) 67
  19. 19.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 15 (c) 42 (d) 51
  20. 20.What is the average of 49, 42, 50, 44, 29 and 14? (a) 40 (b) 38 (c) 39 (d) 37
  21. 21.What is the average of all the whole numbers from 58 to 84? (a) 26 (b) 13 (c) 71 (d) 72
  22. 22.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 48 (c) 62 (d) 28
  23. 23.What is the average of all the whole numbers from 5 to 13? (a) 8 (b) 4 (c) 10 (d) 9
  24. 24.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 12 (b) 38 (c) 44 (d) 35
  25. 25.What is the average of 71, 59, 65 and 97? (a) 74 (b) 72 (c) 73 (d) 75
  26. 26.What is the average of 37, 24, 38 and 21? (a) 30 (b) 31 (c) 29 (d) 40
  27. 27.What is the average of all the whole numbers from 17 to 57? (a) 38 (b) 20 (c) 37 (d) 40
  28. 28.What is the average of 23, 42, 36, 27 and 22? (a) 30 (b) 29 (c) 32 (d) 31
  29. 29.What is the average of 34, 36, 48, 47 and 55? (a) 45 (b) 44 (c) 55 (d) 43
  30. 30.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 105 (b) 56 (c) 63 (d) 106
  31. 31.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 50 (b) 21 (c) 35 (d) 32
  32. 32.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 38 (c) 21 (d) 37
  33. 33.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 46 (b) 53 (c) 28 (d) 21
  34. 34.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 15 (b) 56 (c) 14 (d) 26
  35. 35.What is the average of 22, 22, 12, 12 and 32? (a) 19 (b) 20 (c) 25 (d) 21
  36. 36.What is the average of 42, 45, 39, 43, 57 and 86? (a) 51 (b) 53 (c) 52 (d) 54
  37. 37.What is the average of 59, 38, 61, 58, 61 and 23? (a) 51 (b) 60 (c) 49 (d) 50
  38. 38.What is the average of 28, 31, 26 and 79? (a) 40 (b) 41 (c) 43 (d) 42
  39. 39.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 24 (c) 60 (d) 40
  40. 40.What is the average of 57, 72, 77, 58, 72 and 90? (a) 72 (b) 73 (c) 70 (d) 71

Answer key

  1. 16
  2. 48
  3. 84
  4. 34
  5. 52
  6. 31
  7. 57
  8. 69
  9. 58
  10. 68
  11. 28
  12. 71
  13. 43
  14. 36
  15. 14
  16. 43
  17. 26
  18. 67
  19. 51
  20. 38
  21. 71
  22. 62
  23. 9
  24. 44
  25. 73
  26. 30
  27. 37
  28. 30
  29. 44
  30. 105
  31. 50
  32. 37
  33. 46
  34. 14
  35. 20
  36. 52
  37. 50
  38. 41
  39. 60
  40. 71

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