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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 262 · 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 55, 46, 63, 56, 66 and 50? (a) 57 (b) 58 (c) 56 (d) 55
  2. 2.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) 34 (b) 61 (c) 4 (d) 31
  3. 3.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 81 (c) 56 (d) 41
  4. 4.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 36? (a) 42 (b) 90 (c) 36 (d) 60
  5. 5.What is the average of 71, 82, 72 and 43? (a) 66 (b) 68 (c) 69 (d) 67
  6. 6.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) 30 (c) 16 (d) 42
  7. 7.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 5 (c) 14 (d) 15
  8. 8.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 58 (b) 34 (c) 30 (d) 31
  9. 9.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 10 (c) 5 (d) 50
  10. 10.What is the average of 86, 67, 70, 82 and 50? (a) 73 (b) 72 (c) 70 (d) 71
  11. 11.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 28 (c) 41 (d) 8
  12. 12.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 18 (b) 49 (c) 52 (d) 64
  13. 13.What is the average of all the whole numbers from 37 to 67? (a) 52 (b) 15 (c) 30 (d) 53
  14. 14.What is the average of all the whole numbers from 49 to 55? (a) 53 (b) 52 (c) 3 (d) 6
  15. 15.What is the average of all the whole numbers from 33 to 67? (a) 17 (b) 34 (c) 51 (d) 50
  16. 16.What is the average of all the whole numbers from 35 to 43? (a) 40 (b) 4 (c) 39 (d) 8
  17. 17.What is the average of all the whole numbers from 60 to 98? (a) 79 (b) 38 (c) 80 (d) 19
  18. 18.What is the average of 19, 26, 36, 15 and 9? (a) 20 (b) 21 (c) 23 (d) 22
  19. 19.What is the average of 62, 51, 67, 40 and 55? (a) 57 (b) 54 (c) 56 (d) 55
  20. 20.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 49 (c) 39 (d) 74
  21. 21.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 47 (c) 43 (d) 95
  22. 22.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 18 (c) 62 (d) 46
  23. 23.What is the average of all the whole numbers from 41 to 63? (a) 22 (b) 11 (c) 53 (d) 52
  24. 24.What is the average of 89, 83, 93 and 51? (a) 81 (b) 78 (c) 79 (d) 80
  25. 25.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 4 (c) 21 (d) 24
  26. 26.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 15 (b) 26 (c) 29 (d) 38
  27. 27.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 54 (c) 42 (d) 84
  28. 28.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 26 (c) 8 (d) 20
  29. 29.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 40 (c) 71 (d) 36
  30. 30.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 25 (c) 32 (d) 8
  31. 31.What is the average of all the whole numbers from 54 to 84? (a) 70 (b) 30 (c) 69 (d) 15
  32. 32.What is the average of 65, 66, 68, 69, 66 and 116? (a) 75 (b) 90 (c) 76 (d) 74
  33. 33.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 26? (a) 26 (b) 29 (c) 44 (d) 21
  34. 34.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 32 (b) 49 (c) 73 (d) 45
  35. 35.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) 37 (b) 31 (c) 79 (d) 54
  36. 36.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 60 (c) 78 (d) 24
  37. 37.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 36 (b) 69 (c) 21 (d) 54
  38. 38.What is the average of 20, 41, 30, 16, 38 and 29? (a) 31 (b) 30 (c) 28 (d) 29
  39. 39.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 12 (b) 41 (c) 39 (d) 49
  40. 40.What is the average of 42, 49, 66, 46, 42 and 91? (a) 56 (b) 57 (c) 58 (d) 55

Answer key

  1. 56
  2. 34
  3. 81
  4. 90
  5. 67
  6. 42
  7. 14
  8. 58
  9. 49
  10. 71
  11. 28
  12. 64
  13. 52
  14. 52
  15. 50
  16. 39
  17. 79
  18. 21
  19. 55
  20. 74
  21. 43
  22. 62
  23. 52
  24. 79
  25. 24
  26. 38
  27. 84
  28. 20
  29. 71
  30. 32
  31. 69
  32. 75
  33. 44
  34. 73
  35. 79
  36. 78
  37. 54
  38. 29
  39. 49
  40. 56

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