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

    discriminant, quadratics, roots, real vs complex, graphing

  • 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

    Assess students' understanding of the quadratic discriminant Δ = b^2 − 4ac: compute Δ from given quadratics, classify the roots as two distinct real, one repeated real, or two complex conjugates, predict the number of x-intercepts and relate Δ to the parabola's graph, and analyze how parameter changes affect the nature and number of roots.
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Attempts
100
Average Score
100%

Mock data used for demo purposes.