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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 903 · 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 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 50 (b) 28 (c) 26 (d) 30
  2. 2.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 8 (c) 39 (d) 27
  3. 3.What is the average of 52, 42, 57, 43, 49 and 51? (a) 51 (b) 50 (c) 48 (d) 49
  4. 4.What is the average of 22, 20, 33 and 41? (a) 31 (b) 30 (c) 29 (d) 28
  5. 5.What is the average of all the whole numbers from 34 to 58? (a) 47 (b) 12 (c) 24 (d) 46
  6. 6.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 40 (b) 80 (c) 48 (d) 56
  7. 7.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 7 (b) 87 (c) 41 (d) 6
  8. 8.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 72 (b) 32 (c) 40 (d) 96
  9. 9.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 55 (b) 89 (c) 12 (d) 46
  10. 10.What is the average of 61, 84, 59, 80 and 81? (a) 75 (b) 73 (c) 74 (d) 72
  11. 11.What is the average of 56, 35, 48 and 61? (a) 51 (b) 49 (c) 50 (d) 52
  12. 12.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 18 (b) 39 (c) 42 (d) 54
  13. 13.What is the average of 36, 30, 29 and 17? (a) 30 (b) 28 (c) 27 (d) 29
  14. 14.What is the average of all the whole numbers from 9 to 45? (a) 36 (b) 18 (c) 27 (d) 28
  15. 15.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 39 (c) 80 (d) 111
  16. 16.What is the average of 64, 74, 61, 72, 59 and 114? (a) 76 (b) 74 (c) 73 (d) 75
  17. 17.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 83 (b) 50 (c) 43 (d) 38
  18. 18.What is the average of all the whole numbers from 26 to 52? (a) 40 (b) 26 (c) 13 (d) 39
  19. 19.What is the average of all the whole numbers from 13 to 33? (a) 23 (b) 20 (c) 10 (d) 24
  20. 20.What is the average of 63, 68, 74, 76 and 94? (a) 77 (b) 75 (c) 76 (d) 74
  21. 21.What is the average of 40, 53, 44, 40, 44 and 103? (a) 55 (b) 56 (c) 53 (d) 54
  22. 22.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 50 (b) 34 (c) 74 (d) 29
  23. 23.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 27 (b) 43 (c) 90 (d) 28
  24. 24.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 10 (b) 58 (c) 52 (d) 50
  25. 25.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 21 (b) 59 (c) 77 (d) 62
  26. 26.What is the average of 27, 31, 31 and 67? (a) 39 (b) 38 (c) 52 (d) 40
  27. 27.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 30 (b) 45 (c) 50 (d) 70
  28. 28.What is the average of all the whole numbers from 35 to 49? (a) 14 (b) 43 (c) 7 (d) 42
  29. 29.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 28 (c) 29 (d) 16
  30. 30.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 70 (b) 28 (c) 50 (d) 46
  31. 31.What is the average of 58, 42, 51, 53, 65 and 43? (a) 53 (b) 51 (c) 54 (d) 52
  32. 32.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 32 (b) 66 (c) 20 (d) 21
  33. 33.What is the average of all the whole numbers from 35 to 45? (a) 41 (b) 40 (c) 10 (d) 5
  34. 34.What is the average of all the whole numbers from 57 to 71? (a) 64 (b) 65 (c) 14 (d) 7
  35. 35.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 67 (b) 12 (c) 61 (d) 58
  36. 36.What is the average of all the whole numbers from 5 to 43? (a) 19 (b) 24 (c) 38 (d) 25
  37. 37.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 10 (c) 55 (d) 47
  38. 38.What is the average of 31, 46, 52, 36 and 35? (a) 39 (b) 50 (c) 41 (d) 40
  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 25? (a) 25 (b) 50 (c) 30 (d) 70
  40. 40.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 21 (b) 49 (c) 31 (d) 34

Answer key

  1. 50
  2. 27
  3. 49
  4. 29
  5. 46
  6. 80
  7. 6
  8. 96
  9. 55
  10. 73
  11. 50
  12. 54
  13. 28
  14. 27
  15. 111
  16. 74
  17. 83
  18. 39
  19. 23
  20. 75
  21. 54
  22. 74
  23. 27
  24. 58
  25. 77
  26. 39
  27. 70
  28. 42
  29. 28
  30. 70
  31. 52
  32. 20
  33. 40
  34. 64
  35. 67
  36. 24
  37. 55
  38. 40
  39. 70
  40. 49

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