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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 701 · 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 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 47 (c) 75 (d) 36
  2. 2.What is the average of 56, 75, 55 and 54? (a) 59 (b) 60 (c) 80 (d) 61
  3. 3.What is the average of 30, 41, 23 and 18? (a) 29 (b) 30 (c) 27 (d) 28
  4. 4.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 30 (c) 36 (d) 8
  5. 5.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 61 (b) 76 (c) 25 (d) 56
  6. 6.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 20 (c) 44 (d) 32
  7. 7.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 28 (c) 52 (d) 32
  8. 8.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 34 (b) 25 (c) 12 (d) 47
  9. 9.What is the average of 27, 25, 28 and 72? (a) 40 (b) 39 (c) 38 (d) 37
  10. 10.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 13 (c) 34 (d) 24
  11. 11.What is the average of 17, 45, 32, 16, 32 and 38? (a) 36 (b) 31 (c) 29 (d) 30
  12. 12.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 42 (c) 16 (d) 30
  13. 13.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 69 (b) 60 (c) 12 (d) 63
  14. 14.What is the average of 40, 48, 49, 35, 44 and 42? (a) 42 (b) 44 (c) 45 (d) 43
  15. 15.What is the average of all the whole numbers from 14 to 34? (a) 20 (b) 10 (c) 24 (d) 25
  16. 16.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 40? (a) 44 (b) 52 (c) 40 (d) 16
  17. 17.What is the average of 21, 8, 13 and 38? (a) 20 (b) 22 (c) 19 (d) 21
  18. 18.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 47 (c) 6 (d) 42
  19. 19.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 27 (b) 39 (c) 63 (d) 42
  20. 20.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 80 (b) 35 (c) 50 (d) 40
  21. 21.What is the average of all the whole numbers from 29 to 45? (a) 8 (b) 37 (c) 38 (d) 16
  22. 22.What is the average of all the whole numbers from 49 to 87? (a) 68 (b) 69 (c) 38 (d) 19
  23. 23.What is the average of all the whole numbers from 29 to 47? (a) 18 (b) 39 (c) 9 (d) 38
  24. 24.What is the average of 46, 34, 33, 43, 34 and 68? (a) 42 (b) 43 (c) 45 (d) 44
  25. 25.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 60? (a) 68 (b) 124 (c) 60 (d) 72
  26. 26.What is the average of 53, 44, 58 and 25? (a) 46 (b) 44 (c) 60 (d) 45
  27. 27.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 46 (b) 24 (c) 25 (d) 28
  28. 28.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 18 (c) 33 (d) 32
  29. 29.What is the average of all the whole numbers from 10 to 46? (a) 36 (b) 18 (c) 29 (d) 28
  30. 30.What is the average of 53, 58, 42, 49 and 13? (a) 45 (b) 42 (c) 43 (d) 44
  31. 31.What is the average of 52, 51, 65 and 84? (a) 64 (b) 62 (c) 84 (d) 63
  32. 32.What is the average of all the whole numbers from 54 to 62? (a) 8 (b) 58 (c) 59 (d) 4
  33. 33.What is the average of 73, 67, 80, 90, 94 and 76? (a) 96 (b) 81 (c) 79 (d) 80
  34. 34.What is the average of 36, 44, 41, 55 and 74? (a) 49 (b) 51 (c) 52 (d) 50
  35. 35.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 43 (c) 8 (d) 37
  36. 36.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 24 (b) 40 (c) 36 (d) 56
  37. 37.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 18 (b) 47 (c) 35 (d) 32
  38. 38.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 39 (b) 77 (c) 43 (d) 5
  39. 39.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 70 (b) 58 (c) 14 (d) 60
  40. 40.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 4 (c) 34 (d) 61

Answer key

  1. 75
  2. 60
  3. 28
  4. 36
  5. 76
  6. 44
  7. 52
  8. 34
  9. 38
  10. 34
  11. 30
  12. 42
  13. 69
  14. 43
  15. 24
  16. 52
  17. 20
  18. 47
  19. 63
  20. 80
  21. 37
  22. 68
  23. 38
  24. 43
  25. 124
  26. 45
  27. 46
  28. 32
  29. 28
  30. 43
  31. 63
  32. 58
  33. 80
  34. 50
  35. 43
  36. 56
  37. 47
  38. 43
  39. 70
  40. 34

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