UPMSP Intermediate Mathematics case studies
UPMSP Intermediate Mathematics · Put your knowledge to work in context.
The UPMSP Intermediate Mathematics examination is the Class 12 mathematics paper set by the Uttar Pradesh Madhyamik Shiksha Parishad (UP Board) for students completing the intermediate stage of schooling in Uttar Pradesh. It is a school-leaving and board certification examination: results feed into higher education admission in the state and are commonly required for undergraduate programmes in science, engineering-entrance preparation, commerce and education. The UPMSP Intermediate Mathematics case studies are 5 cases and about 3,340 words.
1Sizing an Open-Top Tank Under a Height Code
A fabricator in Kanpur has won a contract to supply an open-top cylindrical storage tank of capacity 10 m³ for a dairy. Sheet metal for the circular base costs ₹500 per m², while the curved side wall costs ₹320 per m² because it needs rolling and welding; the open top costs nothing.
657 words, about 3 min2Reconstructing a Day's Output from Pulp Meter Readings
A cold-drink unit in Lucknow blends three fruit drinks, P, Q and R, from mango, apple and banana pulp. Each litre of P uses 0.5 L mango, 0.3 L apple and 0.2 L banana pulp; each litre of Q uses 0.2 L mango, 0.5 L apple and 0.3 L banana; each litre of R uses 0.3 L mango, 0.2 L apple and 0.5 L banana.
679 words, about 3 min3Study-Table Mix with a Rate Contract
A village workshop in Barabanki makes two models of steel study table, Standard (x per day) and Compact (y per day). Each Standard needs 3 hours of cutting and 2 hours of assembly; each Compact needs 2 hours of cutting and 4 hours of assembly.
659 words, about 3 min4Flagged Bulbs and the Base-Rate Trap
An LED bulb plant in Noida runs three machines. Machine A makes 50% of the output with a 1.5% defect rate, machine B makes 30% with a 3% defect rate, and machine C makes 20% with a 6% defect rate.
557 words, about 3 min5Drone Corridors and the 0.8 km Exclusion Bubble
Two survey drones fly along straight paths over a construction site in Greater Noida, with positions in kilometres from a fixed origin and parameters t and s in minutes after take-off. Drone 1 is at r₁ = (1 + 2t)i + (3 − t)j + (2 + t)k.
788 words, about 4 min