Metadata
Mathematics Grade 9-12 Apply Medium-
Subject
Mathematics
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Education level
Grade 9-12
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Cognitive goals
Apply
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Difficulty estimate
Medium
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Tags
quadratic formula, completing the square, projectile motion, optimization, vertex, discriminant
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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Prompt
Assess students' ability to formulate and solve quadratic models from real-world contexts using the quadratic formula and completing the square. Tasks include deriving equations for projectile motion (initial velocity, time of flight, max height) and area optimization (expressing area in one variable, finding dimensions that maximize area), solving for relevant roots, locating and interpreting the vertex, analyzing the discriminant for real solutions, checking units and realistic constraints, and clearly explaining each step and interpretation. Suitable for Grade 9–12, medium difficulty, apply-level assessment.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.