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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 360 · 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 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 69 (b) 61 (c) 72 (d) 125
  2. 2.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 95 (b) 40 (c) 85 (d) 50
  3. 3.What is the average of all the whole numbers from 26 to 52? (a) 26 (b) 39 (c) 40 (d) 13
  4. 4.What is the average of 61, 67, 73, 56, 52 and 45? (a) 59 (b) 61 (c) 58 (d) 60
  5. 5.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 12 (b) 57 (c) 47 (d) 49
  6. 6.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 35 (b) 52 (c) 77 (d) 47
  7. 7.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 46 (b) 15 (c) 34 (d) 65
  8. 8.What is the average of 37, 63, 59 and 49? (a) 53 (b) 51 (c) 54 (d) 52
  9. 9.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 17 (c) 36 (d) 9
  10. 10.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 13 (c) 29 (d) 22
  11. 11.What is the average of 69, 68, 68 and 71? (a) 92 (b) 69 (c) 70 (d) 68
  12. 12.What is the average of all the whole numbers from 35 to 63? (a) 28 (b) 49 (c) 14 (d) 50
  13. 13.What is the average of 66, 58, 57 and 87? (a) 68 (b) 69 (c) 66 (d) 67
  14. 14.What is the average of 66, 93, 73, 77, 82 and 89? (a) 79 (b) 81 (c) 80 (d) 96
  15. 15.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 32 (c) 20 (d) 12
  16. 16.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 50 (b) 14 (c) 74 (d) 38
  17. 17.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 20 (c) 60 (d) 44
  18. 18.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 32 (b) 21 (c) 20 (d) 66
  19. 19.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 67 (b) 30 (c) 40 (d) 43
  20. 20.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 38 (b) 25 (c) 31 (d) 18
  21. 21.What is the average of 72, 62, 72, 70 and 59? (a) 67 (b) 69 (c) 66 (d) 68
  22. 22.What is the average of 41, 56, 36, 45, 29 and 51? (a) 44 (b) 45 (c) 42 (d) 43
  23. 23.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 37 (b) 18 (c) 51 (d) 35
  24. 24.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 67 (c) 13 (d) 66
  25. 25.What is the average of 19, 37, 19, 28 and 67? (a) 34 (b) 36 (c) 35 (d) 33
  26. 26.What is the average of 57, 46, 48, 47 and 92? (a) 60 (b) 58 (c) 59 (d) 57
  27. 27.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 34 (b) 4 (c) 15 (d) 3
  28. 28.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 62 (b) 57 (c) 25 (d) 77
  29. 29.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 12 (c) 46 (d) 71
  30. 30.What is the average of all the whole numbers from 54 to 86? (a) 16 (b) 71 (c) 32 (d) 70
  31. 31.What is the average of all the whole numbers from 53 to 93? (a) 74 (b) 40 (c) 20 (d) 73
  32. 32.What is the average of 28, 54, 46, 32 and 50? (a) 43 (b) 41 (c) 42 (d) 44
  33. 33.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 26 (c) 23 (d) 53
  34. 34.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 54 (c) 78 (d) 27
  35. 35.What is the average of all the whole numbers from 51 to 79? (a) 65 (b) 66 (c) 28 (d) 14
  36. 36.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 73 (c) 19 (d) 20
  37. 37.What is the average of 93, 77, 64, 79, 82 and 79? (a) 79 (b) 78 (c) 81 (d) 80
  38. 38.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 56 (b) 77 (c) 49 (d) 35
  39. 39.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 15 (b) 35 (c) 32 (d) 44
  40. 40.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 21 (c) 48 (d) 33

Answer key

  1. 125
  2. 85
  3. 39
  4. 59
  5. 57
  6. 77
  7. 46
  8. 52
  9. 9
  10. 29
  11. 69
  12. 49
  13. 67
  14. 80
  15. 32
  16. 50
  17. 60
  18. 20
  19. 67
  20. 38
  21. 67
  22. 43
  23. 51
  24. 66
  25. 34
  26. 58
  27. 3
  28. 77
  29. 46
  30. 70
  31. 73
  32. 42
  33. 23
  34. 78
  35. 65
  36. 19
  37. 79
  38. 77
  39. 44
  40. 48

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