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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 390 · 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 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 20 (c) 51 (d) 49
  2. 2.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 10 (b) 18 (c) 26 (d) 34
  3. 3.What is the average of 68, 69, 60, 66, 48 and 37? (a) 57 (b) 59 (c) 58 (d) 60
  4. 4.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 48 (b) 35 (c) 18 (d) 31
  5. 5.What is the average of 57, 60, 74 and 69? (a) 66 (b) 67 (c) 64 (d) 65
  6. 6.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 45 (c) 30 (d) 29
  7. 7.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 8 (c) 60 (d) 37
  8. 8.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 32 (b) 60 (c) 36 (d) 44
  9. 9.What is the average of all the whole numbers from 25 to 31? (a) 6 (b) 29 (c) 28 (d) 3
  10. 10.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 45 (c) 61 (d) 24
  11. 11.What is the average of 23, 36, 10, 9, 20 and 40? (a) 23 (b) 22 (c) 24 (d) 25
  12. 12.What is the average of 74, 82, 83, 76, 72 and 33? (a) 71 (b) 70 (c) 69 (d) 84
  13. 13.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 45 (b) 56 (c) 87 (d) 38
  14. 14.What is the average of 20, 33, 23, 25, 20 and 89? (a) 36 (b) 35 (c) 42 (d) 34
  15. 15.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 49 (c) 53 (d) 28
  16. 16.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 6 (c) 37 (d) 24
  17. 17.What is the average of 63, 59, 64, 63, 89 and 106? (a) 73 (b) 74 (c) 75 (d) 76
  18. 18.What is the average of all the whole numbers from 11 to 39? (a) 14 (b) 26 (c) 28 (d) 25
  19. 19.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 89 (c) 57 (d) 48
  20. 20.What is the average of 49, 55, 49 and 27? (a) 46 (b) 60 (c) 44 (d) 45
  21. 21.What is the average of all the whole numbers from 6 to 18? (a) 13 (b) 11 (c) 6 (d) 12
  22. 22.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 75 (b) 25 (c) 55 (d) 60
  23. 23.What is the average of 39, 17, 19, 25, 16 and 34? (a) 30 (b) 26 (c) 25 (d) 24
  24. 24.What is the average of 53, 39, 41, 61 and 56? (a) 52 (b) 50 (c) 51 (d) 49
  25. 25.What is the average of 54, 57, 38 and 35? (a) 47 (b) 46 (c) 48 (d) 45
  26. 26.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 64 (b) 18 (c) 95 (d) 49
  27. 27.What is the average of 48, 22, 35 and 39? (a) 36 (b) 48 (c) 35 (d) 37
  28. 28.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 36 (b) 70 (c) 40 (d) 46
  29. 29.What is the average of all the whole numbers from 30 to 46? (a) 38 (b) 16 (c) 39 (d) 8
  30. 30.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 52? (a) 18 (b) 67 (c) 52 (d) 55
  31. 31.What is the average of 46, 49, 72, 57 and 61? (a) 58 (b) 59 (c) 56 (d) 57
  32. 32.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) 35 (b) 50 (c) 32 (d) 21
  33. 33.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 54? (a) 89 (b) 59 (c) 40 (d) 54
  34. 34.What is the average of all the whole numbers from 24 to 50? (a) 38 (b) 13 (c) 26 (d) 37
  35. 35.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) 26 (b) 3 (c) 12 (d) 2
  36. 36.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 34? (a) 36 (b) 34 (c) 40 (d) 8
  37. 37.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 91 (c) 40 (d) 55
  38. 38.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 39 (b) 18 (c) 7 (d) 6
  39. 39.What is the average of 58, 46, 36, 55, 51 and 60? (a) 52 (b) 53 (c) 51 (d) 50
  40. 40.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 8 (b) 56 (c) 49 (d) 97

Answer key

  1. 67
  2. 26
  3. 58
  4. 48
  5. 65
  6. 29
  7. 37
  8. 60
  9. 28
  10. 61
  11. 23
  12. 70
  13. 87
  14. 35
  15. 49
  16. 24
  17. 74
  18. 25
  19. 89
  20. 45
  21. 12
  22. 75
  23. 25
  24. 50
  25. 46
  26. 64
  27. 36
  28. 70
  29. 38
  30. 67
  31. 57
  32. 50
  33. 89
  34. 37
  35. 2
  36. 40
  37. 91
  38. 6
  39. 51
  40. 56

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