Compulsory Mathematics
अनिवार्य गणित
Sets (Venn diagrams 2 & 3 sets), Compound Interest & Depreciation, Currency & Exchange Rates, Mensuration (Solids & Combined solids), Quadratic Equations, Geometry Theorems & Constructions, Statistics, and Probability.
Prescribed Chapters
Showing 15 LessonsSets
Sets
समूह
Cardinality formulas of two and three overlapping sets, Venn diagram representations, solving real-world survey problems.
Compound Interest
Compound Interest
चक्रिय ब्याज
Annual compound interest, semi-annual compound interest, quarterly interest, difference between CI and SI.
Growth and Depreciation
Growth and Depreciation
जनसङ्ख्या वृद्धि तथा मूल्य ह्रास
Compound population growth, infant mortality, migration effects, compound depreciation of vehicles/machinery over time.
Currency and Exchange Rate
Currency and Exchange Rate
मुद्रा तथा विनिमय दर
Nepal Rastra Bank foreign currency buying and selling rates, currency conversions, revaluation, devaluation, and bank commission.
Area and Volume (Mensuration)
Area and Volume (Mensuration)
क्षेत्रमिति: क्षेत्रफल र आयतन
Prisms, pyramids, cylinders, spheres, hemispheres, cones, and combined solids (cylinder + cone, cylinder + hemisphere).
Sequence and Series
Sequence and Series
अनुक्रम र श्रेणी
Arithmetic progression (AP), arithmetic mean (AM), geometric progression (GP), geometric mean (GM), and series summation.
Quadratic Equation
Quadratic Equation
वर्ग समीकरण
Standard form ax² + bx + c = 0, factorization method, completing the square, quadratic formula derivation, and applied word problems.
Algebraic Fraction
Algebraic Fraction
बीजगणितीय भिन्न
HCF and LCM of algebraic expressions, simplification of rational algebraic fractions with common and cyclic denominators.
Indices
Indices
घाताङ्क
Fundamental laws of indices, fractional and negative exponents, and solving exponential algebraic equations.
Triangle and Quadrilaterals (Geometry)
Triangle and Quadrilaterals (Geometry)
त्रिभुज र चतुर्भुज (ज्यामिति)
Theorems on area of triangles and parallelograms on the same base and between the same parallels; theoretical and experimental proofs.
Construction
Construction
रचना
Construction of triangles, parallelograms, and quadrilaterals equal in area using ruler and compass.
Circle (Geometry)
Circle (Geometry)
वृत्त (ज्यामिति)
Central angle, inscribed angle, cyclic quadrilateral opposite angles theorem, tangent-secant properties, and experimental proofs.
Statistics
Statistics
तथ्याङ्कशास्त्र
Mean, median, lower quartile (Q1), upper quartile (Q3), and mode for continuous grouped data with frequency distributions.
Probability
Probability
सम्भाव्यता
Sample space, mutually exclusive events, independent events, addition law, multiplication law, and probability tree diagrams without replacement.
Trigonometry
Trigonometry
त्रिकोणमिति
Heights and distances, angle of elevation, angle of depression, solving problems with single and two right-angled observation triangles.