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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 258 · 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 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 91 (c) 42 (d) 61
  2. 2.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 24 (b) 45 (c) 42 (d) 63
  3. 3.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 72 (b) 32 (c) 44 (d) 84
  4. 4.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 18 (b) 32 (c) 17 (d) 31
  5. 5.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 115 (b) 66 (c) 56 (d) 73
  6. 6.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 21 (c) 27 (d) 45
  7. 7.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 14 (c) 24 (d) 22
  8. 8.What is the average of 55, 32, 44, 42, 42 and 31? (a) 42 (b) 41 (c) 40 (d) 43
  9. 9.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 16 (b) 64 (c) 50 (d) 98
  10. 10.What is the average of all the whole numbers from 48 to 62? (a) 14 (b) 56 (c) 55 (d) 7
  11. 11.What is the average of all the whole numbers from 26 to 44? (a) 35 (b) 9 (c) 18 (d) 36
  12. 12.What is the average of all the whole numbers from 23 to 51? (a) 37 (b) 28 (c) 14 (d) 38
  13. 13.What is the average of all the whole numbers from 24 to 54? (a) 40 (b) 30 (c) 15 (d) 39
  14. 14.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 35? (a) 98 (b) 35 (c) 70 (d) 42
  15. 15.What is the average of 55, 52, 28, 55, 52 and 10? (a) 41 (b) 43 (c) 44 (d) 42
  16. 16.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 36 (b) 68 (c) 48 (d) 16
  17. 17.What is the average of all the whole numbers from 32 to 42? (a) 38 (b) 10 (c) 37 (d) 5
  18. 18.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 36 (b) 26 (c) 50 (d) 12
  19. 19.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 10 (b) 9 (c) 33 (d) 16
  20. 20.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 18 (b) 31 (c) 46 (d) 59
  21. 21.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 79 (b) 24 (c) 38 (d) 23
  22. 22.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 31 (c) 93 (d) 30
  23. 23.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 27 (c) 61 (d) 28
  24. 24.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 53? (a) 53 (b) 55 (c) 20 (d) 71
  25. 25.What is the average of 32, 38, 39, 17, 15 and 39? (a) 29 (b) 31 (c) 30 (d) 36
  26. 26.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 27 (b) 70 (c) 26 (d) 34
  27. 27.What is the average of all the whole numbers from 38 to 70? (a) 55 (b) 32 (c) 54 (d) 16
  28. 28.What is the average of all the whole numbers from 22 to 42? (a) 33 (b) 32 (c) 20 (d) 10
  29. 29.What is the average of 22, 37, 31, 26, 42 and 22? (a) 31 (b) 30 (c) 29 (d) 36
  30. 30.What is the average of 72, 54, 54, 45, 64 and 59? (a) 57 (b) 59 (c) 58 (d) 60
  31. 31.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 36 (b) 37 (c) 42 (d) 85
  32. 32.What is the average of all the whole numbers from 40 to 60? (a) 20 (b) 10 (c) 51 (d) 50
  33. 33.What is the average of all the whole numbers from 50 to 62? (a) 12 (b) 6 (c) 57 (d) 56
  34. 34.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 26 (c) 38 (d) 18
  35. 35.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 28 (b) 52 (c) 59 (d) 73
  36. 36.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 20 (c) 25 (d) 46
  37. 37.What is the average of 32, 21, 15 and 44? (a) 29 (b) 27 (c) 30 (d) 28
  38. 38.What is the average of 93, 67, 86, 73, 89 and 72? (a) 81 (b) 79 (c) 80 (d) 96
  39. 39.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 51? (a) 53 (b) 51 (c) 65 (d) 16
  40. 40.What is the average of 34, 38, 56 and 40? (a) 56 (b) 41 (c) 43 (d) 42

Answer key

  1. 91
  2. 63
  3. 72
  4. 32
  5. 115
  6. 45
  7. 24
  8. 41
  9. 64
  10. 55
  11. 35
  12. 37
  13. 39
  14. 98
  15. 42
  16. 48
  17. 37
  18. 36
  19. 9
  20. 46
  21. 23
  22. 30
  23. 27
  24. 71
  25. 30
  26. 26
  27. 54
  28. 32
  29. 30
  30. 58
  31. 36
  32. 50
  33. 56
  34. 38
  35. 73
  36. 41
  37. 28
  38. 80
  39. 65
  40. 42

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