Set Theory (Sets)
Weightage: 4 Marks · Group CCDC High YieldCardinality of two and three intersecting sets, Venn diagram derivations, and survey word problems.
12 chapters · CDC Syllabus 2081/2082 · 240 Solved Model Questions · 100 Marks Preparation Guide
Class 10 Mathematics is where most students meet the idea that a formula is a decision tool, not a memorisation exercise. Interest compounds. A population grows. A currency converts. These notes work through the full CDC syllabus one chapter at a time: sets and Venn diagrams, algebra and quadratic equations, coordinate geometry, lines and angles, trigonometry and its identities, mensuration, real numbers, compound interest and annuities, compound depreciation, population growth, sequences and series, permutations and combinations, the binomial theorem, transformations, and statistics and probability.
Each chapter opens with the idea in plain language before any formula appears, because most marks are lost to misreading a question rather than to arithmetic. Formulas are always shown with the conditions attached to them, since knowing when a result applies matters as much as knowing what it is. Worked examples then demonstrate the full method rather than jumping to the answer, so you can see which step earns which mark. Every chapter has its own questions section with complete solutions, and those solutions are the fastest way to find the gap, because a question you cannot solve tells you exactly which chapter to go back to. Use the chapter list to move in syllabus order if you are starting from scratch, or jump straight to the chapter you are stuck on if you are revising.
Cardinality of two and three intersecting sets, Venn diagram derivations, and survey word problems.
Annual, semi-annual, and quarterly compound interest, population growth, and compound depreciation.
Compounded census metrics, asset value erosion formulas, and multi-year rate calculations.
Banking rates, buying/selling commission, devaluation, and revaluation calculations.
Area of triangles (Heron's formula), quadrilaterals, pathways, and cost estimation.
Surface area, total area, and volume of combined solids (hemisphere + cone, cylinder + hemisphere).
Total surface area and volume of triangular and square-based pyramids, slant height relations.
Algebraic fractions, factorization, and rational algebraic expressions.
Solving by factorization, the quadratic formula, and word problems on numbers, age, and speed.
Simplification of exponential laws, radical equations, and rationalization of surd denominators.
Geometric proofs: angles at center vs circumference, cyclic quadrilaterals, tangents.
Median and quartiles in continuous series, mean deviation, and tree-diagram probability.
Complete full mock test set following the official 100-mark grid: Group A (10m), Group B (34m), Group C (40m), Group D (16m) with real-time timer & step-by-step marking rubric.