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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 315 · 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 37 to 71? (a) 55 (b) 17 (c) 34 (d) 54
  2. 2.What is the average of 46, 44, 64, 59 and 42? (a) 53 (b) 50 (c) 51 (d) 52
  3. 3.What is the average of all the whole numbers from 49 to 69? (a) 10 (b) 20 (c) 60 (d) 59
  4. 4.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 37 (c) 18 (d) 52
  5. 5.What is the average of all the whole numbers from 53 to 65? (a) 12 (b) 59 (c) 60 (d) 6
  6. 6.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 47 (b) 18 (c) 32 (d) 61
  7. 7.What is the average of 55, 45, 52, 41 and 27? (a) 55 (b) 43 (c) 44 (d) 45
  8. 8.What is the average of 34, 46, 43, 42 and 60? (a) 46 (b) 44 (c) 45 (d) 47
  9. 9.What is the average of 70, 54, 68 and 60? (a) 84 (b) 64 (c) 62 (d) 63
  10. 10.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) 20 (b) 14 (c) 42 (d) 15
  11. 11.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 37 (b) 32 (c) 30 (d) 57
  12. 12.What is the average of 80, 81, 69 and 78? (a) 78 (b) 76 (c) 79 (d) 77
  13. 13.What is the average of 48, 38, 51, 46 and 82? (a) 55 (b) 53 (c) 52 (d) 54
  14. 14.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 58 (b) 50 (c) 10 (d) 52
  15. 15.What is the average of 84, 72, 77 and 87? (a) 79 (b) 82 (c) 81 (d) 80
  16. 16.What is the average of all the whole numbers from 39 to 47? (a) 44 (b) 8 (c) 4 (d) 43
  17. 17.What is the average of 63, 68, 71 and 110? (a) 78 (b) 104 (c) 79 (d) 77
  18. 18.What is the average of all the whole numbers from 18 to 46? (a) 28 (b) 14 (c) 32 (d) 33
  19. 19.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 82 (c) 49 (d) 47
  20. 20.What is the average of all the whole numbers from 13 to 23? (a) 19 (b) 18 (c) 10 (d) 5
  21. 21.What is the average of 48, 53, 56, 63, 51 and 101? (a) 63 (b) 61 (c) 62 (d) 64
  22. 22.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 46 (b) 10 (c) 38 (d) 74
  23. 23.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 55? (a) 63 (b) 32 (c) 55 (d) 79
  24. 24.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 48 (c) 75 (d) 43
  25. 25.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 75 (b) 60 (c) 55 (d) 25
  26. 26.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 50? (a) 98 (b) 54 (c) 50 (d) 56
  27. 27.What is the average of all the whole numbers from 34 to 70? (a) 36 (b) 53 (c) 18 (d) 52
  28. 28.What is the average of 64, 87, 64, 80 and 80? (a) 76 (b) 77 (c) 75 (d) 74
  29. 29.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 15 (c) 44 (d) 32
  30. 30.What is the average of 59, 71, 49 and 73? (a) 63 (b) 64 (c) 84 (d) 62
  31. 31.What is the average of 15, 22, 25, 6 and 32? (a) 21 (b) 25 (c) 19 (d) 20
  32. 32.What is the average of all the whole numbers from 11 to 37? (a) 26 (b) 25 (c) 24 (d) 13
  33. 33.What is the average of 67, 82, 63 and 100? (a) 104 (b) 77 (c) 79 (d) 78
  34. 34.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 13 (b) 25 (c) 14 (d) 52
  35. 35.What is the average of 15, 31, 28, 14, 37 and 43? (a) 27 (b) 29 (c) 30 (d) 28
  36. 36.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 20 (c) 48 (d) 60
  37. 37.What is the average of 39, 24, 26, 14, 36 and 35? (a) 31 (b) 30 (c) 29 (d) 28
  38. 38.What is the average of all the whole numbers from 50 to 58? (a) 55 (b) 4 (c) 8 (d) 54
  39. 39.What is the average of 50, 29, 46 and 39? (a) 41 (b) 42 (c) 40 (d) 43
  40. 40.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 7 (b) 26 (c) 20 (d) 39

Answer key

  1. 54
  2. 51
  3. 59
  4. 52
  5. 59
  6. 47
  7. 44
  8. 45
  9. 63
  10. 14
  11. 57
  12. 77
  13. 53
  14. 58
  15. 80
  16. 43
  17. 78
  18. 32
  19. 82
  20. 18
  21. 62
  22. 46
  23. 79
  24. 75
  25. 75
  26. 98
  27. 52
  28. 75
  29. 44
  30. 63
  31. 20
  32. 24
  33. 78
  34. 13
  35. 28
  36. 60
  37. 29
  38. 54
  39. 41
  40. 26

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