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Grade 11 Computing Challenge Puzzles Worksheet with Answers

Grade 11 (US) · Year 12 (UK) · Class 11 (India) · Computer Science

Unit 5: Going FurtherChallenge PuzzlesChallenge

Puzzles that stretch computational thinking: bit patterns, logic and clever counting. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Computing Challenge Puzzles

Grade 11 · Computer Science

Score___ / 12

Name

Class

Date

Learning goal: Challenge Puzzles

Directions: Read each question carefully and write your answer on the line. Use the diagram to help you.

RememberBinary place values

1286432168421Each place is worth double the one to its right. Add the places that hold a 1.Example: 0 0 0 0 1 0 1 1 → 8 + 2 + 1 = 11
  1. 1

    What is the largest whole number you can store in 7 bits?

    64132116181412111
  2. 2

    What is the largest whole number you can store in 8 bits?

    128164132116181412111
  3. 3

    How many different patterns can 5 bits make?

    168421
  4. 4

    5 computers each connect directly to every other computer with one cable. How many cables are needed?

  5. 5

    In a list of every 4-bit pattern, how many patterns have exactly one 1?

    8421
  6. 6

    What is the largest whole number you can store in 6 bits?

    32116181412111
  7. 7

    6 computers each connect directly to every other computer with one cable. How many cables are needed?

  8. 8

    4 computers each connect directly to every other computer with one cable. How many cables are needed?

  9. 9

    A playlist app lets you switch each of 3 songs on or off. How many different playlists (including the empty one) are possible?

  10. 10

    What is the largest whole number you can store in 10 bits?

    51212561128164132116181412111
  11. 11

    A playlist app lets you switch each of 5 songs on or off. How many different playlists (including the empty one) are possible?

  12. 12

    In a list of every 3-bit pattern, how many patterns have exactly one 1?

    421

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/computer/11/challenge_cs

Answer key (click to show)
  1. 1.127
  2. 2.255
  3. 3.32
  4. 4.10
  5. 5.4
  6. 6.63
  7. 7.15
  8. 8.6
  9. 9.8
  10. 10.1023
  11. 11.32
  12. 12.3

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