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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 943 · 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 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 40 (b) 56 (c) 80 (d) 48
  2. 2.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 48 (b) 39 (c) 81 (d) 45
  3. 3.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 12 (b) 82 (c) 52 (d) 42
  4. 4.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 50? (a) 57 (b) 99 (c) 56 (d) 50
  5. 5.What is the average of 60, 73, 57 and 62? (a) 62 (b) 64 (c) 63 (d) 84
  6. 6.What is the average of 64, 80, 83, 65 and 83? (a) 77 (b) 74 (c) 75 (d) 76
  7. 7.What is the average of 64, 56, 51, 70 and 34? (a) 54 (b) 57 (c) 55 (d) 56
  8. 8.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 86 (b) 44 (c) 38 (d) 54
  9. 9.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 12 (b) 20 (c) 42 (d) 13
  10. 10.What is the average of 16, 20, 26, 38 and 20? (a) 24 (b) 25 (c) 23 (d) 30
  11. 11.What is the average of 67, 67, 64, 73 and 79? (a) 70 (b) 72 (c) 71 (d) 69
  12. 12.What is the average of all the whole numbers from 29 to 35? (a) 6 (b) 33 (c) 3 (d) 32
  13. 13.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 4 (b) 13 (c) 25 (d) 16
  14. 14.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 16 (b) 64 (c) 98 (d) 50
  15. 15.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 83 (c) 32 (d) 59
  16. 16.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 32 (c) 40 (d) 10
  17. 17.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 45 (c) 20 (d) 29
  18. 18.What is the average of all the whole numbers from 41 to 75? (a) 34 (b) 17 (c) 59 (d) 58
  19. 19.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 36 (b) 43 (c) 67 (d) 37
  20. 20.What is the average of 49, 50, 66, 40, 67 and 52? (a) 53 (b) 54 (c) 55 (d) 56
  21. 21.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 16 (c) 38 (d) 34
  22. 22.What is the average of 18, 25, 14, 10, 22 and 31? (a) 19 (b) 24 (c) 21 (d) 20
  23. 23.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 13 (b) 28 (c) 7 (d) 8
  24. 24.What is the average of all the whole numbers from 42 to 68? (a) 13 (b) 26 (c) 55 (d) 56
  25. 25.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 60 (b) 26 (c) 32 (d) 80
  26. 26.What is the average of 43, 37, 52, 66, 62 and 46? (a) 50 (b) 53 (c) 52 (d) 51
  27. 27.What is the average of 54, 45, 52 and 17? (a) 41 (b) 42 (c) 56 (d) 43
  28. 28.What is the average of 52, 62, 53, 73, 62 and 82? (a) 65 (b) 66 (c) 64 (d) 63
  29. 29.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 70 (b) 30 (c) 37 (d) 93
  30. 30.What is the average of all the whole numbers from 5 to 31? (a) 26 (b) 19 (c) 18 (d) 13
  31. 31.What is the average of all the whole numbers from 56 to 82? (a) 26 (b) 13 (c) 70 (d) 69
  32. 32.What is the average of 28, 52, 43, 38 and 54? (a) 45 (b) 42 (c) 43 (d) 44
  33. 33.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 36 (b) 92 (c) 35 (d) 45
  34. 34.What is the average of 67, 62, 82, 76 and 48? (a) 69 (b) 68 (c) 66 (d) 67
  35. 35.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 42 (c) 40 (d) 10
  36. 36.What is the average of all the whole numbers from 15 to 51? (a) 18 (b) 34 (c) 36 (d) 33
  37. 37.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 54 (b) 39 (c) 33 (d) 81
  38. 38.What is the average of 62, 57, 75, 67 and 84? (a) 71 (b) 70 (c) 69 (d) 68
  39. 39.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 57 (c) 18 (d) 71
  40. 40.What is the average of all the whole numbers from 25 to 49? (a) 12 (b) 37 (c) 24 (d) 38

Answer key

  1. 80
  2. 81
  3. 52
  4. 99
  5. 63
  6. 75
  7. 55
  8. 86
  9. 12
  10. 24
  11. 70
  12. 32
  13. 16
  14. 64
  15. 83
  16. 40
  17. 45
  18. 58
  19. 67
  20. 54
  21. 34
  22. 20
  23. 7
  24. 55
  25. 80
  26. 51
  27. 42
  28. 64
  29. 93
  30. 18
  31. 69
  32. 43
  33. 35
  34. 67
  35. 48
  36. 33
  37. 81
  38. 69
  39. 71
  40. 37

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