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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 853 · 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 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 92 (b) 42 (c) 57 (d) 64
  2. 2.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 52 (b) 24 (c) 59 (d) 31
  3. 3.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 36 (c) 60 (d) 88
  4. 4.What is the average of 69, 79, 70, 69 and 108? (a) 80 (b) 79 (c) 78 (d) 81
  5. 5.What is the average of all the whole numbers from 8 to 48? (a) 29 (b) 20 (c) 40 (d) 28
  6. 6.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 28 (c) 25 (d) 52
  7. 7.What is the average of all the whole numbers from 30 to 46? (a) 38 (b) 39 (c) 16 (d) 8
  8. 8.What is the average of all the whole numbers from 46 to 82? (a) 18 (b) 36 (c) 65 (d) 64
  9. 9.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 31 (b) 18 (c) 11 (d) 24
  10. 10.What is the average of 38, 64, 45 and 61? (a) 54 (b) 53 (c) 52 (d) 51
  11. 11.What is the average of 42, 30, 35, 18 and 30? (a) 30 (b) 31 (c) 33 (d) 32
  12. 12.What is the average of all the whole numbers from 35 to 75? (a) 55 (b) 40 (c) 20 (d) 56
  13. 13.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 95 (b) 60 (c) 47 (d) 41
  14. 14.What is the average of 8, 19, 32 and 33? (a) 24 (b) 25 (c) 23 (d) 22
  15. 15.What is the average of all the whole numbers from 25 to 65? (a) 40 (b) 46 (c) 45 (d) 20
  16. 16.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 40 (c) 24 (d) 42
  17. 17.What is the average of 36, 20, 30 and 30? (a) 28 (b) 30 (c) 31 (d) 29
  18. 18.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 71 (b) 59 (c) 18 (d) 56
  19. 19.What is the average of all the whole numbers from 38 to 68? (a) 30 (b) 53 (c) 15 (d) 54
  20. 20.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) 30 (b) 47 (c) 24 (d) 7
  21. 21.What is the average of 53, 50, 74, 61 and 87? (a) 64 (b) 65 (c) 67 (d) 66
  22. 22.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 54 (b) 79 (c) 37 (d) 31
  23. 23.What is the average of all the whole numbers from 49 to 57? (a) 8 (b) 53 (c) 54 (d) 4
  24. 24.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 20 (b) 19 (c) 103 (d) 49
  25. 25.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 69 (b) 54 (c) 63 (d) 111
  26. 26.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 92 (b) 56 (c) 62 (d) 42
  27. 27.What is the average of all the whole numbers from 20 to 44? (a) 33 (b) 32 (c) 12 (d) 24
  28. 28.What is the average of all the whole numbers from 47 to 79? (a) 64 (b) 32 (c) 16 (d) 63
  29. 29.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 57 (c) 33 (d) 36
  30. 30.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 66 (b) 59 (c) 63 (d) 115
  31. 31.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 17 (c) 8 (d) 24
  32. 32.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) 44 (d) 32
  33. 33.What is the average of all the whole numbers from 41 to 47? (a) 44 (b) 3 (c) 45 (d) 6
  34. 34.What is the average of 36, 31, 26 and 47? (a) 36 (b) 34 (c) 37 (d) 35
  35. 35.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 30 (c) 65 (d) 29
  36. 36.What is the average of 27, 23, 35, 21, 35 and 3? (a) 26 (b) 25 (c) 23 (d) 24
  37. 37.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 37 (c) 39 (d) 22
  38. 38.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 59 (c) 77 (d) 30
  39. 39.What is the average of 64, 80, 56, 64 and 76? (a) 85 (b) 69 (c) 67 (d) 68
  40. 40.What is the average of all the whole numbers from 24 to 40? (a) 16 (b) 33 (c) 8 (d) 32

Answer key

  1. 92
  2. 52
  3. 88
  4. 79
  5. 28
  6. 52
  7. 38
  8. 64
  9. 31
  10. 52
  11. 31
  12. 55
  13. 95
  14. 23
  15. 45
  16. 42
  17. 29
  18. 71
  19. 53
  20. 30
  21. 65
  22. 79
  23. 53
  24. 19
  25. 111
  26. 92
  27. 32
  28. 63
  29. 57
  30. 115
  31. 24
  32. 44
  33. 44
  34. 35
  35. 29
  36. 24
  37. 37
  38. 77
  39. 68
  40. 32

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