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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 225 · 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 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 74 (b) 56 (c) 50 (d) 30
  2. 2.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 56 (b) 32 (c) 28 (d) 57
  3. 3.What is the average of 52, 48, 46, 56 and 28? (a) 47 (b) 46 (c) 48 (d) 45
  4. 4.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 35 (c) 25 (d) 8
  5. 5.What is the average of all the whole numbers from 48 to 54? (a) 51 (b) 3 (c) 6 (d) 52
  6. 6.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 30 (c) 36 (d) 58
  7. 7.What is the average of all the whole numbers from 12 to 20? (a) 8 (b) 17 (c) 4 (d) 16
  8. 8.What is the average of all the whole numbers from 38 to 56? (a) 9 (b) 18 (c) 48 (d) 47
  9. 9.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 15 (b) 42 (c) 20 (d) 14
  10. 10.What is the average of 59, 40, 40 and 57? (a) 48 (b) 51 (c) 49 (d) 50
  11. 11.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 16 (c) 36 (d) 48
  12. 12.What is the average of all the whole numbers from 16 to 26? (a) 10 (b) 22 (c) 5 (d) 21
  13. 13.What is the average of 45, 30, 34 and 31? (a) 34 (b) 36 (c) 37 (d) 35
  14. 14.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 46 (c) 30 (d) 73
  15. 15.What is the average of 42, 27, 43 and 16? (a) 34 (b) 32 (c) 33 (d) 31
  16. 16.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 68 (b) 53 (c) 48 (d) 25
  17. 17.What is the average of 35, 38, 37, 49 and 91? (a) 50 (b) 52 (c) 51 (d) 49
  18. 18.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 86 (b) 50 (c) 45 (d) 85
  19. 19.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 71 (c) 24 (d) 59
  20. 20.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 57? (a) 57 (b) 30 (c) 81 (d) 63
  21. 21.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 42 (c) 8 (d) 36
  22. 22.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 91 (b) 78 (c) 48 (d) 35
  23. 23.What is the average of all the whole numbers from 31 to 71? (a) 40 (b) 51 (c) 52 (d) 20
  24. 24.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 102 (b) 37 (c) 38 (d) 49
  25. 25.What is the average of 64, 46, 39, 55, 58 and 50? (a) 53 (b) 51 (c) 54 (d) 52
  26. 26.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) 7 (d) 24
  27. 27.What is the average of 26, 21, 32, 17, 42 and 54? (a) 34 (b) 32 (c) 31 (d) 33
  28. 28.What is the average of 32, 28, 30, 25, 12 and 35? (a) 27 (b) 29 (c) 26 (d) 28
  29. 29.What is the average of 49, 30, 46, 27, 32 and 32? (a) 38 (b) 37 (c) 36 (d) 35
  30. 30.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 6 (b) 19 (c) 10 (d) 15
  31. 31.What is the average of 28, 21, 31, 22, 35 and 67? (a) 36 (b) 35 (c) 34 (d) 33
  32. 32.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 8 (c) 52 (d) 48
  33. 33.What is the average of 37, 37, 43, 24, 35 and 46? (a) 39 (b) 38 (c) 36 (d) 37
  34. 34.What is the average of 36, 33, 54 and 53? (a) 43 (b) 46 (c) 44 (d) 45
  35. 35.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 27 (c) 14 (d) 37
  36. 36.What is the average of 20, 22, 14 and 32? (a) 23 (b) 22 (c) 24 (d) 21
  37. 37.What is the average of 16, 36, 13, 12, 23 and 50? (a) 26 (b) 25 (c) 24 (d) 30
  38. 38.What is the average of 44, 44, 70, 47 and 85? (a) 59 (b) 57 (c) 58 (d) 60
  39. 39.What is the average of 50, 70, 53 and 83? (a) 65 (b) 63 (c) 64 (d) 66
  40. 40.What is the average of 25, 19, 20, 25 and 71? (a) 33 (b) 31 (c) 40 (d) 32

Answer key

  1. 74
  2. 56
  3. 46
  4. 25
  5. 51
  6. 58
  7. 16
  8. 47
  9. 14
  10. 49
  11. 48
  12. 21
  13. 35
  14. 73
  15. 32
  16. 68
  17. 50
  18. 85
  19. 71
  20. 81
  21. 42
  22. 78
  23. 51
  24. 37
  25. 52
  26. 30
  27. 32
  28. 27
  29. 36
  30. 15
  31. 34
  32. 52
  33. 37
  34. 44
  35. 37
  36. 22
  37. 25
  38. 58
  39. 64
  40. 32

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