SEE Optional Mathematics Nepal study guide
SEE Optional Mathematics Nepal · Work through your exam, one topic at a time.
SEE Optional Mathematics is the elective mathematics paper of Nepal's Secondary Education Examination, the national Grade 10 examination run by the National Examinations Board (NEB), Sanothimi, Bhaktapur. It is a written, paper-based paper taken alongside compulsory subjects by students who plan to continue into science, engineering, management or another quantitative stream, and it goes deeper into algebra and trigonometry than compulsory mathematics does. Content spans algebra (functions, polynomials, sequences and series, quadratic equations, linear programming), trigonometry (identities, equations, heights and distances), geometry (triangles, quadrilaterals, circles, construction, transformation), coordinate geometry and vectors, and statistics and probability. Papers mix short computational items with longer problems where the working, not only the final value, earns credit. The SEE Optional Mathematics Nepal study guide has 5 sections and about 1,293 words.
01Algebra
Algebra in SEE Optional Mathematics tests whether you can move fluently between symbolic form and graph/table form. The unit bundles functions, polynomials, sequences and series, quadratic equations, and linear programming; questions often combine two ideas, such as using a quadratic model inside a function problem.
291 words, about 1 min02Trigonometry
Trigonometry in SEE Optional Mathematics tests identity manipulation, solution of trigonometric equations within a stated interval, and modelling heights and distances with right triangles. Start from sin²θ+cos²θ=1; divide by cos²θ to get 1+tan²θ=sec²θ, by sin²θ to get 1+cot²θ=csc²θ.
277 words, about 1 min03Geometry
Geometry in SEE Optional Mathematics tests deductive reasoning with triangle and circle theorems, properties of quadrilaterals, ruler-and-compass construction, and transformation of figures. Use congruence criteria (SSS, SAS, ASA, RHS) and similarity (AA, SSS, SAS).
325 words, about 2 min04Coordinate geometry and vectors
Coordinate geometry and vectors in SEE Optional Mathematics tests algebraic representation of points, lines, and directed segments, and vector operations in two dimensions. Distance between A(x₁,y₁) and B(x₂,y₂) is √((x₂−x₁)²+(y₂−y₁)²).
176 words, under 1 min05Statistics and probability
Statistics and probability in SEE Optional Mathematics tests summarising data and computing simple probabilities from equally likely outcomes. For ungrouped data, mean = (Σx)/n.
224 words, about 1 min