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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 347 · 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 63, 56, 48, 66 and 67? (a) 60 (b) 61 (c) 59 (d) 75
  2. 2.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 20 (c) 47 (d) 35
  3. 3.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 20 (d) 36
  4. 4.What is the average of 39, 39, 25, 24, 12 and 11? (a) 30 (b) 26 (c) 25 (d) 24
  5. 5.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) 52 (b) 46 (c) 48 (d) 8
  6. 6.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 95 (b) 65 (c) 60 (d) 40
  7. 7.What is the average of 76, 71, 68, 92, 73 and 88? (a) 79 (b) 77 (c) 80 (d) 78
  8. 8.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) 37 (b) 29 (c) 25 (d) 16
  9. 9.What is the average of all the whole numbers from 53 to 67? (a) 7 (b) 14 (c) 61 (d) 60
  10. 10.What is the average of 81, 76, 70, 66, 66 and 73? (a) 72 (b) 73 (c) 71 (d) 74
  11. 11.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 50 (b) 37 (c) 77 (d) 32
  12. 12.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 65 (b) 37 (c) 36 (d) 33
  13. 13.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 14 (b) 28 (c) 40 (d) 54
  14. 14.What is the average of 21, 38, 28, 22 and 36? (a) 30 (b) 29 (c) 28 (d) 31
  15. 15.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 47 (c) 25 (d) 67
  16. 16.What is the average of 52, 47, 45, 40 and 26? (a) 43 (b) 41 (c) 44 (d) 42
  17. 17.What is the average of 41, 62, 56, 63 and 28? (a) 49 (b) 50 (c) 52 (d) 51
  18. 18.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 27 (c) 36 (d) 12
  19. 19.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 20 (c) 54 (d) 21
  20. 20.What is the average of all the whole numbers from 40 to 56? (a) 48 (b) 49 (c) 16 (d) 8
  21. 21.What is the average of 28, 40, 35, 24, 43 and 64? (a) 38 (b) 39 (c) 40 (d) 41
  22. 22.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 38 (c) 39 (d) 40
  23. 23.What is the average of all the whole numbers from 45 to 69? (a) 24 (b) 57 (c) 12 (d) 58
  24. 24.What is the average of 74, 90, 64, 73 and 89? (a) 79 (b) 80 (c) 77 (d) 78
  25. 25.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 28? (a) 64 (b) 28 (c) 36 (d) 84
  26. 26.What is the average of all the whole numbers from 60 to 88? (a) 75 (b) 14 (c) 74 (d) 28
  27. 27.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 58 (c) 60 (d) 10
  28. 28.What is the average of 14, 6, 9, 32 and 39? (a) 20 (b) 21 (c) 19 (d) 25
  29. 29.What is the average of all the whole numbers from 8 to 36? (a) 14 (b) 28 (c) 23 (d) 22
  30. 30.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 40 (c) 85 (d) 5
  31. 31.What is the average of 65, 73, 64, 66, 75 and 95? (a) 74 (b) 75 (c) 73 (d) 72
  32. 32.What is the average of all the whole numbers from 6 to 38? (a) 32 (b) 16 (c) 23 (d) 22
  33. 33.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 54 (c) 60 (d) 66
  34. 34.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 53 (c) 83 (d) 36
  35. 35.What is the average of all the whole numbers from 32 to 52? (a) 10 (b) 43 (c) 42 (d) 20
  36. 36.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 30 (c) 83 (d) 56
  37. 37.What is the average of all the whole numbers from 31 to 43? (a) 37 (b) 6 (c) 12 (d) 38
  38. 38.What is the average of all the whole numbers from 37 to 51? (a) 14 (b) 7 (c) 45 (d) 44
  39. 39.What is the average of 81, 84, 85 and 70? (a) 81 (b) 82 (c) 79 (d) 80
  40. 40.What is the average of 48, 61, 43, 65, 45 and 74? (a) 58 (b) 57 (c) 56 (d) 55

Answer key

  1. 60
  2. 47
  3. 36
  4. 25
  5. 52
  6. 95
  7. 78
  8. 37
  9. 60
  10. 72
  11. 77
  12. 65
  13. 40
  14. 29
  15. 67
  16. 42
  17. 50
  18. 36
  19. 20
  20. 48
  21. 39
  22. 39
  23. 57
  24. 78
  25. 84
  26. 74
  27. 66
  28. 20
  29. 22
  30. 5
  31. 73
  32. 22
  33. 108
  34. 83
  35. 42
  36. 83
  37. 37
  38. 44
  39. 80
  40. 56

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