Original revision introduction and starter practice. Full learning texts are available through the publisher links below. This guide is not a CBSE-issued solution manual.
Revision introduction
Financial mathematics connects annuities, present values and loan instalments. Use a period rate consistent with the payment interval. An optimisation problem needs decision variables, an objective and constraints. A feasible solution satisfies every constraint; the best objective value must be chosen from feasible solutions.
Curriculum navigation
Numbers, Quantification and Numerical Applications
Algebra
Calculus
Probability Distributions
Inferential Statistics
Index Numbers and Time-based Data
Financial Mathematics
Linear Programming
Consult the current official syllabus for examinable sections, project-only content, practicals, prescribed texts and exclusions. A unit index does not override those boundaries.
Original practice
What must a feasible solution satisfy?
All constraints
Only the objective
No non-negativity condition
Only one chosen constraint
Worked answer
All constraints
Feasibility means satisfying all constraints, including non-negativity where imposed.
Full publisher materials and answer resources
CBSE 12 Applied Mathematics · syllabus · CBSE · 2026-27 The current official syllabus defines examinable content, internal assessment, practicals and prescribed books. Unit names in the app are a navigation index; consult this document for exclusions and assessment boundaries.
KVS student support material · Class 12 · Kendriya Vidyalaya Sangathan · 2026-27 Use the 2026–27 support-material folders linked by the school. These are KVS teaching/revision resources, not CBSE official marking schemes. Subject availability varies; older packs must be mapped to the current syllabus.
CBSE 2026–27 · Sample question paper · CBSE · 2026-27 Official document listed by CBSE for 2026–27. Open at the publisher; no third-party solutions are represented as official. Sample papers are practice models, not previous board examination papers.
CBSE 2026–27 · Official marking scheme / answer key · CBSE · 2026-27 Official document listed by CBSE for 2026–27. Open at the publisher; no third-party solutions are represented as official. Sample papers are practice models, not previous board examination papers.
DIKSHA · curriculum learning resources · Ministry of Education / DIKSHA · Current portal Choose CBSE/NCERT, Class 12, subject and medium. This is a searchable portal, not a promise of a specific playable lesson.