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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 956 · 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 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 40 (c) 49 (d) 79
  2. 2.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 65 (c) 32 (d) 89
  3. 3.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 60 (c) 35 (d) 30
  4. 4.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 69 (b) 32 (c) 12 (d) 13
  5. 5.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 59 (c) 36 (d) 7
  6. 6.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 38 (c) 23 (d) 18
  7. 7.What is the average of 51, 55, 33 and 21? (a) 40 (b) 39 (c) 42 (d) 41
  8. 8.What is the average of all the whole numbers from 53 to 63? (a) 5 (b) 58 (c) 10 (d) 59
  9. 9.What is the average of 69, 49, 66 and 48? (a) 60 (b) 59 (c) 58 (d) 57
  10. 10.What is the average of all the whole numbers from 32 to 42? (a) 10 (b) 38 (c) 5 (d) 37
  11. 11.What is the average of all the whole numbers from 5 to 39? (a) 23 (b) 22 (c) 17 (d) 34
  12. 12.What is the average of 68, 58, 78 and 48? (a) 64 (b) 62 (c) 63 (d) 84
  13. 13.What is the average of all the whole numbers from 32 to 58? (a) 26 (b) 13 (c) 45 (d) 46
  14. 14.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) 46 (b) 89 (c) 55 (d) 12
  15. 15.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 32 (b) 85 (c) 61 (d) 57
  16. 16.What is the average of 41, 56, 45, 33 and 45? (a) 43 (b) 44 (c) 55 (d) 45
  17. 17.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 65 (c) 32 (d) 70
  18. 18.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 31? (a) 31 (b) 51 (c) 24 (d) 35
  19. 19.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 38 (b) 63 (c) 32 (d) 7
  20. 20.What is the average of 34, 19, 25, 15, 12 and 27? (a) 23 (b) 24 (c) 22 (d) 21
  21. 21.What is the average of 78, 89, 66, 72 and 75? (a) 75 (b) 76 (c) 95 (d) 77
  22. 22.What is the average of 45, 48, 53 and 66? (a) 54 (b) 52 (c) 55 (d) 53
  23. 23.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 56 (b) 27 (c) 20 (d) 19
  24. 24.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 22 (b) 21 (c) 78 (d) 37
  25. 25.What is the average of 25, 15, 16, 13, 30 and 51? (a) 30 (b) 24 (c) 25 (d) 26
  26. 26.What is the average of 66, 76, 65 and 97? (a) 77 (b) 75 (c) 76 (d) 78
  27. 27.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 10 (b) 37 (c) 29 (d) 31
  28. 28.What is the average of all the whole numbers from 20 to 30? (a) 25 (b) 26 (c) 5 (d) 10
  29. 29.What is the average of 65, 78, 76, 68, 83 and 44? (a) 69 (b) 70 (c) 71 (d) 68
  30. 30.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 4 (b) 18 (c) 5 (d) 38
  31. 31.What is the average of all the whole numbers from 33 to 43? (a) 39 (b) 10 (c) 38 (d) 5
  32. 32.What is the average of all the whole numbers from 27 to 33? (a) 31 (b) 30 (c) 3 (d) 6
  33. 33.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 26 (c) 30 (d) 8
  34. 34.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 36 (b) 71 (c) 95 (d) 65
  35. 35.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 65? (a) 48 (b) 105 (c) 65 (d) 73
  36. 36.What is the average of 49, 27, 25 and 35? (a) 36 (b) 33 (c) 34 (d) 35
  37. 37.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) 35 (c) 29 (d) 54
  38. 38.What is the average of all the whole numbers from 38 to 74? (a) 57 (b) 36 (c) 18 (d) 56
  39. 39.What is the average of 48, 49, 37 and 70? (a) 68 (b) 52 (c) 50 (d) 51
  40. 40.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 32 (c) 14 (d) 42

Answer key

  1. 79
  2. 89
  3. 60
  4. 12
  5. 36
  6. 38
  7. 40
  8. 58
  9. 58
  10. 37
  11. 22
  12. 63
  13. 45
  14. 55
  15. 85
  16. 44
  17. 65
  18. 51
  19. 38
  20. 22
  21. 76
  22. 53
  23. 19
  24. 21
  25. 25
  26. 76
  27. 37
  28. 25
  29. 69
  30. 4
  31. 38
  32. 30
  33. 30
  34. 95
  35. 105
  36. 34
  37. 77
  38. 56
  39. 51
  40. 42

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