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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 314 · 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 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
  2. 2.What is the average of all the whole numbers from 10 to 16? (a) 13 (b) 6 (c) 3 (d) 14
  3. 3.What is the average of all the whole numbers from 32 to 38? (a) 36 (b) 6 (c) 3 (d) 35
  4. 4.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 30 (b) 49 (c) 52 (d) 76
  5. 5.What is the average of all the whole numbers from 7 to 19? (a) 13 (b) 14 (c) 6 (d) 12
  6. 6.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 5 (b) 49 (c) 45 (d) 89
  7. 7.What is the average of 30, 20, 39 and 23? (a) 30 (b) 27 (c) 28 (d) 29
  8. 8.What is the average of all the whole numbers from 12 to 22? (a) 5 (b) 10 (c) 18 (d) 17
  9. 9.What is the average of all the whole numbers from 28 to 50? (a) 11 (b) 40 (c) 22 (d) 39
  10. 10.What is the average of 84, 65, 92, 80, 78 and 75? (a) 79 (b) 78 (c) 80 (d) 81
  11. 11.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 15 (c) 49 (d) 40
  12. 12.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 62 (c) 78 (d) 20
  13. 13.What is the average of all the whole numbers from 60 to 72? (a) 12 (b) 6 (c) 67 (d) 66
  14. 14.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 30 (b) 68 (c) 88 (d) 63
  15. 15.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 72 (c) 32 (d) 40
  16. 16.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 25 (b) 86 (c) 26 (d) 41
  17. 17.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 91 (c) 56 (d) 51
  18. 18.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 36 (c) 51 (d) 75
  19. 19.What is the average of 24, 35, 16 and 29? (a) 27 (b) 26 (c) 25 (d) 28
  20. 20.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 93 (b) 69 (c) 61 (d) 40
  21. 21.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 30 (c) 27 (d) 61
  22. 22.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 53 (b) 35 (c) 59 (d) 29
  23. 23.What is the average of 42, 20, 33 and 25? (a) 40 (b) 31 (c) 30 (d) 29
  24. 24.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 12 (c) 16 (d) 20
  25. 25.What is the average of 64, 61, 65, 67 and 18? (a) 56 (b) 57 (c) 54 (d) 55
  26. 26.What is the average of 12, 34, 35, 31, 8 and 12? (a) 24 (b) 21 (c) 23 (d) 22
  27. 27.What is the average of 40, 39, 45 and 4? (a) 32 (b) 33 (c) 31 (d) 34
  28. 28.What is the average of 65, 40, 35 and 60? (a) 49 (b) 52 (c) 51 (d) 50
  29. 29.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 56 (b) 28 (c) 76 (d) 36
  30. 30.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 33 (b) 99 (c) 32 (d) 47
  31. 31.What is the average of all the whole numbers from 14 to 48? (a) 31 (b) 34 (c) 32 (d) 17
  32. 32.What is the average of 61, 71, 75, 52 and 56? (a) 62 (b) 65 (c) 64 (d) 63
  33. 33.What is the average of 62, 57, 78 and 59? (a) 64 (b) 65 (c) 63 (d) 66
  34. 34.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 65 (c) 40 (d) 33
  35. 35.What is the average of all the whole numbers from 58 to 68? (a) 63 (b) 10 (c) 5 (d) 64
  36. 36.What is the average of 58, 41, 51 and 42? (a) 48 (b) 47 (c) 64 (d) 49
  37. 37.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 18 (c) 39 (d) 36
  38. 38.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 76 (b) 32 (c) 92 (d) 48
  39. 39.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 13 (b) 27 (c) 12 (d) 57
  40. 40.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 50 (c) 47 (d) 46

Answer key

  1. 61
  2. 13
  3. 35
  4. 76
  5. 13
  6. 49
  7. 28
  8. 17
  9. 39
  10. 79
  11. 49
  12. 78
  13. 66
  14. 88
  15. 72
  16. 25
  17. 91
  18. 75
  19. 26
  20. 93
  21. 26
  22. 59
  23. 30
  24. 24
  25. 55
  26. 22
  27. 32
  28. 50
  29. 76
  30. 32
  31. 31
  32. 63
  33. 64
  34. 65
  35. 63
  36. 48
  37. 36
  38. 76
  39. 12
  40. 46

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