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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 285 · 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.What is the average of all the whole numbers from 21 to 47? (a) 34 (b) 35 (c) 26 (d) 13
  2. 2.What is the average of 67, 85, 85 and 47? (a) 71 (b) 72 (c) 73 (d) 70
  3. 3.What is the average of all the whole numbers from 5 to 33? (a) 28 (b) 19 (c) 14 (d) 20
  4. 4.What is the average of 15, 17, 12 and 60? (a) 25 (b) 26 (c) 28 (d) 27
  5. 5.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 29 (b) 16 (c) 25 (d) 37
  6. 6.What is the average of all the whole numbers from 54 to 92? (a) 19 (b) 73 (c) 38 (d) 74
  7. 7.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 108 (b) 72 (c) 48 (d) 66
  8. 8.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 60 (c) 39 (d) 32
  9. 9.What is the average of 20, 26, 15 and 43? (a) 27 (b) 26 (c) 25 (d) 28
  10. 10.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 54 (b) 7 (c) 95 (d) 48
  11. 11.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 36 (b) 17 (c) 30 (d) 11
  12. 12.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 31 (c) 17 (d) 24
  13. 13.What is the average of all the whole numbers from 9 to 29? (a) 18 (b) 10 (c) 19 (d) 20
  14. 14.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 25 (b) 39 (c) 59 (d) 44
  15. 15.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 2 (b) 25 (c) 54 (d) 1
  16. 16.What is the average of 53, 43, 60, 37 and 57? (a) 49 (b) 50 (c) 51 (d) 52
  17. 17.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 52 (b) 25 (c) 20 (d) 19
  18. 18.What is the average of 38, 18, 35, 18, 31 and 28? (a) 30 (b) 29 (c) 28 (d) 27
  19. 19.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 39 (c) 89 (d) 38
  20. 20.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 56? (a) 96 (b) 61 (c) 56 (d) 45
  21. 21.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) 15 (b) 3 (c) 4 (d) 34
  22. 22.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 42 (b) 51 (c) 27 (d) 18
  23. 23.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 39 (c) 64 (d) 87
  24. 24.What is the average of 66, 53, 43 and 66? (a) 58 (b) 57 (c) 76 (d) 56
  25. 25.What is the average of 76, 67, 86, 71 and 90? (a) 77 (b) 79 (c) 80 (d) 78
  26. 26.What is the average of all the whole numbers from 58 to 72? (a) 14 (b) 65 (c) 7 (d) 66
  27. 27.What is the average of 27, 18, 39, 21 and 60? (a) 34 (b) 32 (c) 33 (d) 35
  28. 28.What is the average of all the whole numbers from 13 to 29? (a) 8 (b) 21 (c) 22 (d) 16
  29. 29.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 97 (b) 36 (c) 35 (d) 47
  30. 30.What is the average of 57, 46, 30, 57, 35 and 39? (a) 43 (b) 46 (c) 45 (d) 44
  31. 31.What is the average of 39, 36, 24 and 49? (a) 37 (b) 36 (c) 39 (d) 38
  32. 32.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 30 (c) 58 (d) 32
  33. 33.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 49 (c) 42 (d) 20
  34. 34.What is the average of all the whole numbers from 5 to 43? (a) 38 (b) 19 (c) 24 (d) 25
  35. 35.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 24 (c) 63 (d) 45
  36. 36.What is the average of all the whole numbers from 55 to 91? (a) 18 (b) 74 (c) 73 (d) 36
  37. 37.What is the average of all the whole numbers from 56 to 78? (a) 11 (b) 22 (c) 67 (d) 68
  38. 38.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 20 (c) 21 (d) 32
  39. 39.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 30 (b) 77 (c) 53 (d) 50
  40. 40.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 41 (b) 20 (c) 24 (d) 37

Answer key

  1. 34
  2. 71
  3. 19
  4. 26
  5. 37
  6. 73
  7. 108
  8. 60
  9. 26
  10. 54
  11. 36
  12. 31
  13. 19
  14. 59
  15. 1
  16. 50
  17. 19
  18. 28
  19. 38
  20. 96
  21. 3
  22. 42
  23. 87
  24. 57
  25. 78
  26. 65
  27. 33
  28. 21
  29. 35
  30. 44
  31. 37
  32. 58
  33. 42
  34. 24
  35. 63
  36. 73
  37. 67
  38. 20
  39. 77
  40. 41

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