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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 932 · 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.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 4 (b) 49 (c) 46 (d) 91
  2. 2.What is the average of 59, 85, 60, 65 and 86? (a) 70 (b) 72 (c) 73 (d) 71
  3. 3.What is the average of all the whole numbers from 16 to 54? (a) 38 (b) 19 (c) 36 (d) 35
  4. 4.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 57 (c) 32 (d) 56
  5. 5.What is the average of 44, 38, 48, 50, 54 and 48? (a) 47 (b) 49 (c) 48 (d) 46
  6. 6.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 12 (b) 48 (c) 39 (d) 42
  7. 7.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) 63 (b) 7 (c) 38 (d) 32
  8. 8.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 94 (b) 64 (c) 59 (d) 40
  9. 9.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 11 (b) 6 (c) 24 (d) 5
  10. 10.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 6 (b) 20 (c) 43 (d) 5
  11. 11.What is the average of 40, 51, 57, 60 and 47? (a) 52 (b) 53 (c) 50 (d) 51
  12. 12.What is the average of 31, 35, 52, 31, 59 and 62? (a) 46 (b) 45 (c) 44 (d) 54
  13. 13.What is the average of all the whole numbers from 53 to 61? (a) 58 (b) 4 (c) 57 (d) 8
  14. 14.What is the average of all the whole numbers from 22 to 50? (a) 36 (b) 14 (c) 37 (d) 28
  15. 15.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 37 (c) 42 (d) 67
  16. 16.What is the average of 33, 23, 30, 26, 21 and 65? (a) 34 (b) 32 (c) 33 (d) 35
  17. 17.What is the average of all the whole numbers from 24 to 54? (a) 15 (b) 40 (c) 30 (d) 39
  18. 18.What is the average of 37, 18, 22, 27, 22 and 6? (a) 24 (b) 22 (c) 23 (d) 21
  19. 19.What is the average of all the whole numbers from 15 to 35? (a) 25 (b) 10 (c) 26 (d) 20
  20. 20.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) 20 (b) 84 (c) 44 (d) 60
  21. 21.What is the average of 37, 14, 30 and 23? (a) 27 (b) 28 (c) 26 (d) 25
  22. 22.What is the average of all the whole numbers from 11 to 43? (a) 16 (b) 27 (c) 28 (d) 32
  23. 23.What is the average of 77, 75, 69, 77 and 47? (a) 68 (b) 70 (c) 71 (d) 69
  24. 24.What is the average of 20, 24, 18, 29 and 49? (a) 28 (b) 35 (c) 27 (d) 29
  25. 25.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 92 (b) 44 (c) 32 (d) 33
  26. 26.What is the average of all the whole numbers from 59 to 71? (a) 12 (b) 66 (c) 65 (d) 6
  27. 27.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 63 (b) 27 (c) 31 (d) 26
  28. 28.What is the average of all the whole numbers from 5 to 21? (a) 8 (b) 14 (c) 13 (d) 16
  29. 29.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 30 (b) 61 (c) 55 (d) 79
  30. 30.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 46 (c) 21 (d) 53
  31. 31.What is the average of 49, 64, 68 and 71? (a) 84 (b) 64 (c) 62 (d) 63
  32. 32.What is the average of 26, 24, 29 and 69? (a) 38 (b) 37 (c) 36 (d) 39
  33. 33.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 45 (b) 7 (c) 21 (d) 6
  34. 34.What is the average of 14, 38, 25, 16 and 32? (a) 27 (b) 24 (c) 25 (d) 26
  35. 35.What is the average of 43, 43, 67 and 59? (a) 53 (b) 52 (c) 54 (d) 55
  36. 36.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 86 (b) 44 (c) 56 (d) 14
  37. 37.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 36 (c) 50 (d) 81
  38. 38.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 50 (c) 64 (d) 98
  39. 39.What is the average of all the whole numbers from 12 to 32? (a) 20 (b) 22 (c) 23 (d) 10
  40. 40.What is the average of all the whole numbers from 59 to 79? (a) 69 (b) 10 (c) 20 (d) 70

Answer key

  1. 49
  2. 71
  3. 35
  4. 56
  5. 47
  6. 48
  7. 38
  8. 94
  9. 5
  10. 5
  11. 51
  12. 45
  13. 57
  14. 36
  15. 67
  16. 33
  17. 39
  18. 22
  19. 25
  20. 60
  21. 26
  22. 27
  23. 69
  24. 28
  25. 32
  26. 65
  27. 26
  28. 13
  29. 79
  30. 46
  31. 63
  32. 37
  33. 6
  34. 25
  35. 53
  36. 56
  37. 81
  38. 98
  39. 22
  40. 69

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