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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 984 · 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 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 112 (b) 56 (c) 72 (d) 48
  2. 2.What is the average of 66, 61, 77, 65 and 86? (a) 70 (b) 71 (c) 72 (d) 73
  3. 3.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 50 (c) 55 (d) 32
  4. 4.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 10 (c) 38 (d) 46
  5. 5.What is the average of all the whole numbers from 33 to 41? (a) 37 (b) 4 (c) 8 (d) 38
  6. 6.What is the average of all the whole numbers from 50 to 82? (a) 16 (b) 67 (c) 32 (d) 66
  7. 7.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 46 (b) 42 (c) 62 (d) 24
  8. 8.What is the average of all the whole numbers from 6 to 34? (a) 20 (b) 14 (c) 28 (d) 21
  9. 9.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 65 (b) 18 (c) 51 (d) 49
  10. 10.What is the average of all the whole numbers from 29 to 43? (a) 7 (b) 37 (c) 14 (d) 36
  11. 11.What is the average of 32, 30, 28, 52 and 68? (a) 44 (b) 43 (c) 41 (d) 42
  12. 12.What is the average of 35, 62, 44, 41 and 53? (a) 49 (b) 47 (c) 48 (d) 46
  13. 13.What is the average of 42, 51, 58, 54 and 70? (a) 57 (b) 54 (c) 56 (d) 55
  14. 14.What is the average of 26, 42, 24 and 16? (a) 36 (b) 28 (c) 27 (d) 26
  15. 15.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 28 (c) 77 (d) 63
  16. 16.What is the average of all the whole numbers from 9 to 21? (a) 16 (b) 6 (c) 15 (d) 12
  17. 17.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 86 (b) 37 (c) 44 (d) 56
  18. 18.What is the average of 24, 23, 43 and 58? (a) 36 (b) 37 (c) 39 (d) 38
  19. 19.What is the average of 52, 40, 49, 39, 41 and 37? (a) 43 (b) 44 (c) 45 (d) 42
  20. 20.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 45 (b) 5 (c) 20 (d) 6
  21. 21.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 56 (b) 41 (c) 77 (d) 20
  22. 22.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) 51 (b) 43 (c) 91 (d) 56
  23. 23.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 8 (c) 28 (d) 15
  24. 24.What is the average of 38, 34, 28 and 4? (a) 27 (b) 26 (c) 28 (d) 25
  25. 25.What is the average of 81, 61, 77, 81, 69 and 27? (a) 65 (b) 68 (c) 67 (d) 66
  26. 26.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 16 (b) 59 (c) 47 (d) 45
  27. 27.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 38 (b) 78 (c) 30 (d) 31
  28. 28.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 6 (c) 27 (d) 19
  29. 29.What is the average of 47, 52, 65, 42 and 54? (a) 51 (b) 65 (c) 52 (d) 53
  30. 30.What is the average of 73, 69, 88, 88, 88 and 38? (a) 75 (b) 76 (c) 74 (d) 73
  31. 31.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 18 (b) 66 (c) 32 (d) 19
  32. 32.What is the average of all the whole numbers from 17 to 45? (a) 32 (b) 28 (c) 31 (d) 14
  33. 33.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 87 (b) 30 (c) 67 (d) 62
  34. 34.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 40 (b) 76 (c) 46 (d) 41
  35. 35.What is the average of 45, 62, 55, 53 and 35? (a) 50 (b) 49 (c) 51 (d) 52
  36. 36.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 63 (c) 119 (d) 120
  37. 37.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 18 (c) 19 (d) 28
  38. 38.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 58 (b) 70 (c) 20 (d) 54
  39. 39.What is the average of all the whole numbers from 8 to 42? (a) 26 (b) 34 (c) 25 (d) 17
  40. 40.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 20 (c) 38 (d) 21

Answer key

  1. 112
  2. 71
  3. 55
  4. 46
  5. 37
  6. 66
  7. 62
  8. 20
  9. 65
  10. 36
  11. 42
  12. 47
  13. 55
  14. 27
  15. 77
  16. 15
  17. 86
  18. 37
  19. 43
  20. 5
  21. 56
  22. 91
  23. 21
  24. 26
  25. 66
  26. 59
  27. 30
  28. 19
  29. 52
  30. 74
  31. 18
  32. 31
  33. 87
  34. 76
  35. 50
  36. 119
  37. 18
  38. 70
  39. 25
  40. 38

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