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Grade 12 Computing Challenge Puzzles Worksheet with Answers

Grade 12 (US) · Year 13 (UK) · Class 12 (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 12 · 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.

Example

A playlist app lets you switch each of 4 songs on or off. How many different playlists (including the empty one) are possible?

Answer: 16

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

    A playlist app lets you switch each of 6 songs on or off. How many different playlists (including the empty one) are possible?

  3. 3

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

  4. 4

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

  5. 5

    What is the largest whole number you can store in 4 bits?

    81412111
  6. 6

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

    32116181412111
  7. 7

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

  8. 8

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

    421
  9. 9

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

    8421
  10. 10

    How many different patterns can 7 bits make?

    6432168421
  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 2-bit pattern, how many patterns have exactly one 1?

    21

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/computer/12/challenge_cs

Answer key (click to show)
  1. 1.127
  2. 2.64
  3. 3.8
  4. 4.10
  5. 5.15
  6. 6.63
  7. 7.36
  8. 8.3
  9. 9.4
  10. 10.128
  11. 11.32
  12. 12.2

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