Metadata
Mathematics Grade 9-12 Understand Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Grade 9-12

  • Cognitive goals

    Understand

  • Difficulty estimate

    Medium

  • Tags

    complex numbers, polar form, multiplication, rotation, scaling, trigonometry

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Test understanding of complex numbers in polar form: converting between rectangular and polar, interpreting modulus and argument, computing products using r·e^{iθ} or r(cosθ+isinθ), and explaining how multiplication corresponds to scaling (product of moduli) and rotation (sum of arguments); include medium-difficulty calculation and geometric-interpretation problems for Grade 9–12 students.
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Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.