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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 371 · 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 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 28 (b) 35 (c) 56 (d) 42
  2. 2.What is the average of all the whole numbers from 50 to 70? (a) 20 (b) 10 (c) 61 (d) 60
  3. 3.What is the average of all the whole numbers from 44 to 56? (a) 6 (b) 12 (c) 51 (d) 50
  4. 4.What is the average of all the whole numbers from 22 to 38? (a) 30 (b) 8 (c) 31 (d) 16
  5. 5.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 67 (c) 50 (d) 18
  6. 6.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 6 (b) 17 (c) 37 (d) 5
  7. 7.What is the average of all the whole numbers from 45 to 71? (a) 26 (b) 58 (c) 59 (d) 13
  8. 8.What is the average of 15, 16, 9 and 44? (a) 21 (b) 28 (c) 22 (d) 20
  9. 9.What is the average of 62, 59, 82, 69 and 98? (a) 75 (b) 73 (c) 76 (d) 74
  10. 10.What is the average of 47, 38, 23 and 20? (a) 31 (b) 32 (c) 34 (d) 33
  11. 11.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 28 (c) 46 (d) 67
  12. 12.What is the average of 22, 51, 27, 44, 49 and 23? (a) 36 (b) 38 (c) 37 (d) 35
  13. 13.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 16 (b) 25 (c) 48 (d) 39
  14. 14.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 16 (c) 46 (d) 32
  15. 15.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 61 (b) 32 (c) 60 (d) 36
  16. 16.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 30 (c) 69 (d) 45
  17. 17.What is the average of all the whole numbers from 57 to 77? (a) 67 (b) 20 (c) 10 (d) 68
  18. 18.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 11 (b) 80 (c) 10 (d) 38
  19. 19.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 23? (a) 26 (b) 50 (c) 30 (d) 23
  20. 20.What is the average of 68, 83, 80, 87 and 57? (a) 74 (b) 75 (c) 76 (d) 77
  21. 21.What is the average of all the whole numbers from 50 to 68? (a) 9 (b) 60 (c) 18 (d) 59
  22. 22.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 14 (b) 55 (c) 65 (d) 53
  23. 23.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 88 (b) 28 (c) 74 (d) 67
  24. 24.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 36 (b) 17 (c) 3 (d) 4
  25. 25.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 53 (c) 40 (d) 77
  26. 26.What is the average of 43, 56, 38, 35, 45 and 29? (a) 43 (b) 42 (c) 41 (d) 40
  27. 27.What is the average of all the whole numbers from 45 to 61? (a) 8 (b) 16 (c) 53 (d) 54
  28. 28.What is the average of 58, 78, 68, 71 and 80? (a) 72 (b) 73 (c) 71 (d) 70
  29. 29.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 28 (c) 67 (d) 47
  30. 30.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 75 (b) 67 (c) 40 (d) 99
  31. 31.What is the average of 68, 82, 54, 77, 65 and 62? (a) 67 (b) 70 (c) 68 (d) 69
  32. 32.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 12 (b) 18 (c) 13 (d) 38
  33. 33.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 96 (b) 56 (c) 45 (d) 61
  34. 34.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 60 (b) 20 (c) 44 (d) 84
  35. 35.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 35 (c) 49 (d) 16
  36. 36.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 34 (c) 49 (d) 76
  37. 37.What is the average of 75, 64, 75, 75, 64 and 115? (a) 77 (b) 80 (c) 79 (d) 78
  38. 38.What is the average of 83, 71, 68, 69, 82 and 101? (a) 79 (b) 81 (c) 80 (d) 78
  39. 39.What is the average of all the whole numbers from 47 to 55? (a) 4 (b) 51 (c) 8 (d) 52
  40. 40.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 58 (c) 72 (d) 122

Answer key

  1. 56
  2. 60
  3. 50
  4. 30
  5. 50
  6. 5
  7. 58
  8. 21
  9. 74
  10. 32
  11. 67
  12. 36
  13. 39
  14. 46
  15. 60
  16. 69
  17. 67
  18. 10
  19. 50
  20. 75
  21. 59
  22. 65
  23. 88
  24. 3
  25. 77
  26. 41
  27. 53
  28. 71
  29. 67
  30. 99
  31. 68
  32. 12
  33. 96
  34. 60
  35. 49
  36. 76
  37. 78
  38. 79
  39. 51
  40. 122

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