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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 964 · 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.What is the average of all the whole numbers from 28 to 50? (a) 11 (b) 40 (c) 39 (d) 22
  2. 2.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 60 (c) 67 (d) 115
  3. 3.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 25? (a) 51 (b) 25 (c) 30 (d) 50
  4. 4.What is the average of 32, 43, 23 and 14? (a) 29 (b) 27 (c) 28 (d) 30
  5. 5.What is the average of 37, 25, 42 and 40? (a) 37 (b) 48 (c) 35 (d) 36
  6. 6.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 72 (b) 52 (c) 56 (d) 24
  7. 7.What is the average of all the whole numbers from 12 to 18? (a) 16 (b) 15 (c) 6 (d) 3
  8. 8.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 17 (c) 26 (d) 18
  9. 9.What is the average of 68, 68, 88 and 84? (a) 76 (b) 77 (c) 78 (d) 79
  10. 10.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 26 (b) 11 (c) 20 (d) 17
  11. 11.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 24 (c) 48 (d) 66
  12. 12.What is the average of all the whole numbers from 15 to 29? (a) 23 (b) 14 (c) 7 (d) 22
  13. 13.What is the average of all the whole numbers from 35 to 45? (a) 41 (b) 10 (c) 5 (d) 40
  14. 14.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 62 (b) 69 (c) 37 (d) 30
  15. 15.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 61 (c) 57 (d) 28
  16. 16.What is the average of all the whole numbers from 19 to 59? (a) 40 (b) 39 (c) 38 (d) 20
  17. 17.What is the average of all the whole numbers from 60 to 96? (a) 18 (b) 78 (c) 36 (d) 79
  18. 18.What is the average of 41, 54, 32, 52, 56 and 29? (a) 45 (b) 46 (c) 44 (d) 43
  19. 19.What is the average of 68, 57, 74 and 85? (a) 72 (b) 71 (c) 70 (d) 73
  20. 20.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 52? (a) 58 (b) 8 (c) 52 (d) 54
  21. 21.What is the average of 69, 61, 77 and 49? (a) 63 (b) 66 (c) 65 (d) 64
  22. 22.What is the average of 26, 21, 22, 22, 20 and 45? (a) 27 (b) 28 (c) 25 (d) 26
  23. 23.What is the average of all the whole numbers from 55 to 71? (a) 16 (b) 8 (c) 64 (d) 63
  24. 24.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 63 (c) 79 (d) 20
  25. 25.What is the average of all the whole numbers from 11 to 37? (a) 26 (b) 13 (c) 24 (d) 25
  26. 26.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 25 (c) 57 (d) 69
  27. 27.What is the average of 22, 38, 29 and 59? (a) 39 (b) 38 (c) 36 (d) 37
  28. 28.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 41 (b) 20 (c) 23 (d) 25
  29. 29.What is the average of 67, 91, 72, 88, 78 and 78? (a) 79 (b) 81 (c) 78 (d) 80
  30. 30.What is the average of all the whole numbers from 6 to 30? (a) 12 (b) 18 (c) 24 (d) 19
  31. 31.What is the average of 75, 48, 57, 48 and 72? (a) 75 (b) 59 (c) 61 (d) 60
  32. 32.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 45 (c) 71 (d) 31
  33. 33.What is the average of 41, 44, 41, 60 and 74? (a) 51 (b) 53 (c) 52 (d) 65
  34. 34.What is the average of 26, 43, 16 and 35? (a) 31 (b) 40 (c) 30 (d) 29
  35. 35.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 12 (b) 42 (c) 81 (d) 51
  36. 36.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 24 (b) 30 (c) 47 (d) 7
  37. 37.What is the average of all the whole numbers from 29 to 35? (a) 33 (b) 3 (c) 6 (d) 32
  38. 38.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 25 (b) 45 (c) 26 (d) 94
  39. 39.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 5 (b) 17 (c) 13 (d) 25
  40. 40.What is the average of 43, 30, 33, 37, 52 and 51? (a) 40 (b) 41 (c) 43 (d) 42

Answer key

  1. 39
  2. 115
  3. 50
  4. 28
  5. 36
  6. 72
  7. 15
  8. 17
  9. 77
  10. 26
  11. 66
  12. 22
  13. 40
  14. 62
  15. 81
  16. 39
  17. 78
  18. 44
  19. 71
  20. 58
  21. 64
  22. 26
  23. 63
  24. 79
  25. 24
  26. 57
  27. 37
  28. 41
  29. 79
  30. 18
  31. 60
  32. 71
  33. 52
  34. 30
  35. 51
  36. 30
  37. 32
  38. 25
  39. 17
  40. 41

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