CASE STUDY QUESTION BANK
Curated By Akash Srivastva
CBSE Class 10 Standard Mathematics • Real-World Problem Solving & Case-Based Scenarios
Real Numbers
Analyze real-world sync problems involving HCF, LCM, and the Fundamental Theorem of Arithmetic across micro-grids, satellites, agriculture, and encryption passcodes.
Polynomials
Explore parabolic trajectory curves, highway roller-coaster bridges, solar collector parabolic troughs, and corporate profit revenue models using zero-coefficient relations.
Linear Equations in Two Variables
Investigate dual-variable financial budgeting, EV ride-sharing tariffs, boat upstream/downstream flow telemetry, and industrial chemical dilution balancing systems.
Quadratic Equations
Model rocket trajectory heights, high-speed train delays due to weather, architectural garden perimeters, and manufacturing unit production cost minimizations.
Arithmetic Progressions
Examine stadium seating expansion tiers, loan EMI repayment depreciation tables, solar panel annual power degredation, and marathon training pace progressions.
Triangles
Apply Basic Proportionality Theorem (BPT) and similarity criteria to surveyor shadow triangulation, drone aerial scaling, and truss roof bridge structural stability.
Coordinate Geometry
Map smart city GPS coordinates, drone delivery waypoint midpoints, school campus sports pitch grids, and logistical warehouse centroid section divisions.
Introduction to Trigonometry
Compute trigonometric ratios, identity verifications, and angle alignments across satellite dish tilt angles, wheelchair accessibility ramps, and solar panel racking mounts.
Applications of Trigonometry
Solve elevation and depression angle problems covering coastal lighthouse ship tracking, aviation altitude radars, hot air balloon observation, and telecom tower spans.
Circles
Apply tangent length and perpendicularity theorems to automotive pulley drive belts, planetary eclipse shadow umbras, bicycle chain gears, and circular roundabout exits.
Areas Related to Circles
Calculate segment and sector areas for rotary lawn sprinkler coverage, windshield wiper sweep angles, brooches craft designs, and architectural stained-glass rose windows.
Surface Areas and Volumes
Analyze solid transformations, molten metal castings, grain storage silos, hemispherical circus tents, and medical capsule package volumes.
Statistics
Evaluate grouped frequency data, mean heart-rates, modal factory wages, median patient recovery times, and municipal smart metering electrical audits.
Probability
Determine theoretical chances in automated quality control defect inspections, meteorological weather forecasts, gaming spinner lotteries, and genetic trait inheritance.