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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 983 · 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 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 30 (c) 37 (d) 57
  2. 2.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 35 (b) 57 (c) 7 (d) 29
  3. 3.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 10 (b) 24 (c) 30 (d) 22
  4. 4.What is the average of 67, 84, 64 and 65? (a) 70 (b) 71 (c) 72 (d) 69
  5. 5.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 77 (b) 29 (c) 54 (d) 35
  6. 6.What is the average of all the whole numbers from 29 to 35? (a) 6 (b) 3 (c) 33 (d) 32
  7. 7.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 40 (c) 69 (d) 33
  8. 8.What is the average of 27, 45, 37, 24, 43 and 52? (a) 39 (b) 40 (c) 37 (d) 38
  9. 9.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 36 (b) 103 (c) 35 (d) 50
  10. 10.What is the average of all the whole numbers from 50 to 88? (a) 19 (b) 70 (c) 69 (d) 38
  11. 11.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 56 (b) 72 (c) 32 (d) 48
  12. 12.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 16 (c) 32 (d) 34
  13. 13.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 12 (c) 22 (d) 13
  14. 14.What is the average of all the whole numbers from 12 to 34? (a) 23 (b) 22 (c) 24 (d) 11
  15. 15.What is the average of all the whole numbers from 22 to 38? (a) 30 (b) 31 (c) 16 (d) 8
  16. 16.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 33 (c) 13 (d) 24
  17. 17.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 24 (b) 77 (c) 59 (d) 65
  18. 18.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 16 (c) 47 (d) 61
  19. 19.What is the average of 33, 55, 46, 44 and 62? (a) 49 (b) 47 (c) 60 (d) 48
  20. 20.What is the average of 42, 54, 47, 50, 36 and 65? (a) 51 (b) 48 (c) 50 (d) 49
  21. 21.What is the average of 68, 80, 62 and 70? (a) 72 (b) 69 (c) 70 (d) 71
  22. 22.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 62 (c) 74 (d) 56
  23. 23.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 54? (a) 59 (b) 35 (c) 84 (d) 54
  24. 24.What is the average of all the whole numbers from 42 to 78? (a) 18 (b) 60 (c) 36 (d) 61
  25. 25.What is the average of 52, 58, 70, 70 and 55? (a) 61 (b) 63 (c) 60 (d) 62
  26. 26.What is the average of all the whole numbers from 30 to 64? (a) 47 (b) 17 (c) 48 (d) 34
  27. 27.What is the average of all the whole numbers from 19 to 45? (a) 13 (b) 32 (c) 33 (d) 26
  28. 28.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 56? (a) 56 (b) 98 (c) 49 (d) 63
  29. 29.What is the average of 47, 39, 44, 56, 47 and 85? (a) 55 (b) 54 (c) 53 (d) 52
  30. 30.What is the average of all the whole numbers from 11 to 21? (a) 17 (b) 16 (c) 5 (d) 10
  31. 31.What is the average of 35, 34, 30, 21, 16 and 2? (a) 25 (b) 22 (c) 24 (d) 23
  32. 32.What is the average of all the whole numbers from 59 to 87? (a) 74 (b) 14 (c) 73 (d) 28
  33. 33.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 68 (b) 24 (c) 50 (d) 47
  34. 34.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 68 (b) 28 (c) 27 (d) 33
  35. 35.What is the average of 53, 60, 60, 43 and 74? (a) 58 (b) 57 (c) 60 (d) 59
  36. 36.What is the average of 78, 65, 60, 59, 69 and 101? (a) 71 (b) 74 (c) 73 (d) 72
  37. 37.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 34 (b) 27 (c) 55 (d) 35
  38. 38.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 60 (b) 16 (c) 44 (d) 32
  39. 39.What is the average of 52, 64, 51, 55 and 38? (a) 52 (b) 51 (c) 65 (d) 53
  40. 40.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 34 (b) 26 (c) 10 (d) 28

Answer key

  1. 57
  2. 35
  3. 30
  4. 70
  5. 77
  6. 32
  7. 69
  8. 38
  9. 35
  10. 69
  11. 72
  12. 32
  13. 22
  14. 23
  15. 30
  16. 33
  17. 77
  18. 61
  19. 48
  20. 49
  21. 70
  22. 74
  23. 84
  24. 60
  25. 61
  26. 47
  27. 32
  28. 98
  29. 53
  30. 16
  31. 23
  32. 73
  33. 68
  34. 27
  35. 58
  36. 72
  37. 55
  38. 44
  39. 52
  40. 34

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