TSC (Mathematics_NiMaVi)

निम्न माध्यमिक तह : गणित पाठ्यक्रम (MathNIMAVI)

शिक्षक सेवा आयोग (TSC) परीक्षा तयारी

निम्न माध्यमिक तहको खुला प्रतियोगितात्मक परीक्षाको पाठ्यक्रम (२०७६)

विषय: गणित (Mathematics Curriculum - NIMAVI)

MathNIMAVI Course Code
१०० पूर्णाङ्क Full Marks
३ घण्टा Exam Duration
खुला / लिखित Exam Nature

Units & Topics

Section A (Mathematics Pedagogy & Basics)
1 Mathematics Instructional Pedagogy Section A ▼

Instructional Techniques

  • Analytical study of basic level (grade 6-8) mathematics curriculum.
  • Use of learning theories in mathematics teaching (Piaget, Bruner, Gagne).
  • Instructional materials & teaching methods for basic level math.
  • Instructional planning and classroom management.
  • Student assessment strategies.

Topics & Resources

2 Teaching Arithmetic and Mensuration Section A ▼

Instructional Techniques

  • Teaching real numbers, fractions, decimals, and percentages.
  • Ratio and proportion applications.
  • Profit and loss, unitary method, simple interest.
  • Perimeter and area of plane figures (triangles, circles, quadrilaterals).
  • Solid objects: faces, edges, vertices, volume of cubes, cylinders, cones.

Topics & Resources

3 Teaching Algebra Section A ▼

Instructional Techniques

  • Introduction and operations of algebraic expressions and polynomials.
  • Factorization, HCF, LCM, and indices.
  • Simplification of rational algebraic expressions.
  • Linear equations/inequalities in one variable, simultaneous graphical equations.
  • Introduction and factorization of quadratic equations.

Topics & Resources

4 Teaching Geometry Section A ▼

Instructional Techniques

  • Lines and angles: relationships and experimental verifications.
  • Triangles, quadrilaterals, polygons and geometric construction.
  • Congruency and similarity properties.
  • Coordinate grids, distance formulas, Pythagoras theorem.
  • Transformation geometry, symmetries and tessellation.

Topics & Resources

5 Teaching Set and Statistics Section A ▼

Instructional Techniques

  • Introduction to sets, types of sets, subsets.
  • Set operations (union, intersection, difference, complement).
  • Word problems using Venn diagrams.
  • Frequency distribution tables, bar graphs, pie charts.
  • Central tendency: Mean, median, mode and range.

Topics & Resources

Section B (Advanced Mathematics Content)
6 Number system, Logics and Linear Programming Section B ▼

Course Objectives

  • Bases other than 10 (binary, quinary, octal, hexadecimal), real/complex numbers.
  • Symbolic logic truth tables and basic laws.
  • Counting system: Permutations, combinations, sequence, series, induction.
  • Linear programming graphical & simplex solutions.

Topics & Resources

7 Algebra and Binomial Expansions Section B ▼

Course Objectives

  • Relations, functions, binary operations, group structure.
  • Matrix inverses, determinants and properties.
  • System of linear equations (Cramer's, Matrix, Row equivalent method).
  • Quadratic equations (roots and coefficients relations).
  • Binomial expansion theorem.

Topics & Resources

8 Analytic Geometry Section B ▼

Course Objectives

  • Distance and section formulas.
  • Straight lines: equations, angles, and perpendicular distance.
  • Pairs of lines: equations and angles between them.
  • Conic sections: general/standard equations of circle, parabola, ellipse, hyperbola.

Topics & Resources

9 Euclidean and Transformation Geometry Section B ▼

Course Objectives

  • Fundamentals, history, and axiomatic structure of Euclidean geometry.
  • Euclid's fifth postulate and substitutes.
  • Theorems on parallel lines, triangles, quadrilaterals, circles.
  • Area and volume formulas of planes/solids.
  • Isometries (reflection, translation, rotation) & non-isometric dilation.

Topics & Resources

10 Statistics and Probability Section B ▼

Course Objectives

  • Central tendency: Weighted/combined mean, median, mode.
  • Dispersion: Mean/standard deviation, quartiles, coefficient of variation.
  • Correlation and regression analysis.
  • Concepts and laws of probability.
  • Random variables, Binomial and Poisson distributions.

Topics & Resources

Old Questions & Past Papers

Access past TSC license exam papers. Each paper is hosted with resources and details.

TSC License Exam Paper 2080

Complete Subjective and Objective question set of the lower secondary mathematics examination held in 2080.

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TSC License Exam Paper 2079

Detailed questions set with solutions for the TSC Lower Secondary Mathematics exam (2079).

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TSC License Exam Paper 2078

Past exam paper of Lower Secondary level Mathematics (2078) including curriculum assessment patterns.

View Deployed Paper ↗

Specification Grid (Exam Breakdown)

The written exam consists of Section A (Pedagogy - 50 marks) and Section B (Content - 50 marks).

Section Units Coverage Question Format Total Marks
Section A (Pedagogy) Unit 1 - Unit 5 (Instructional Pedagogy, Arithmetic, Algebra, Geometry, Statistics/Sets) 5 Subjective Questions (5 x 10 marks) 50 Marks
Section B (Content) Unit 6 - Unit 10 (Logics, Algebra/Binomial, Analytic Geometry, Euclidean Geometry, Probability) 5 Subjective Questions (5 x 10 marks) 50 Marks
Total Assessment Marks 100 Marks
Section A: 50% Section B: 50%

Official Syllabus Overview

Overview of lower secondary math license curriculum directives issued by Teacher Service Commission (२०७६).

Important Syllabus Notes:

  • This curriculum is divided into Section A & Section B.
  • Generally from Section A, questions will be asked related to Pedagogy and Teaching Activities.
  • From Section B, questions will be asked covering the pure mathematical cognitive levels.
  • Separate answer sheets must be used for Section A and Section B in the examination hall.
  • This curriculum has been in effect since 2077/02/29 (B.S.).
Download Official Syllabus PDF ↗

Study Plan & Preparation Schedule

Structured weekly study calendar layout designed to cover the entire curriculum systematically.

Week Target Units Focus Areas & Activities Study Resources
Week 1 - 2 Unit 1 (Pedagogy) Curriculum study, Piaget & Bruner theories, instructional planning. Plan ↗
Week 3 - 4 Unit 2 (Arithmetic) & Unit 3 (Algebra) Fraction operations, perimeter/area calculations, factorizations, linear equations. Plan ↗
Week 5 - 6 Unit 4 (Geometry) & Unit 5 (Statistics) Geometric construction, coordinate distance, Venn diagrams, central tendency. Plan ↗
Week 7 - 8 Unit 6 & 7 (Logics & Algebra) Complex numbers, truth tables, determinants, Cramers rule. Plan ↗
Week 9 - 10 Unit 8 & 9 (Analytic & Euclidean) Equation of straight lines, Euclid postulates, Isometric transformations. Plan ↗
Week 11 - 12 Unit 10 (Advanced Stats) Measures of dispersion, correlation, binomial distributions. Plan ↗

Study Notes Portfolio

Read and download detailed notes compiled for each unit of the curriculum.

Instructional Pedagogy Notes

Unit 1 study notes covering Piaget & Bruner theories, planning and student assessment.

Open Notes ↗
Arithmetic & Mensuration Notes

Unit 2 arithmetic methods, profit & loss formulas, simple interest, and solids mensuration.

Open Notes ↗
Algebra & Geometry Notes

Polynomial operations, factorizations, coordinate Pythagoras, and transformation geometry proofs.

Open Notes ↗
Section B: Advanced Math Notes

Symbolic logics truth tables, permutation & combinations, Cramer's matrices, and conic sections.

Open Notes ↗

Mock Tests & Practice Questions

Evaluate your exam readiness by taking these specialized practice question sets.

Section A Pedagogy Practice Set

A selection of subjective questions on math pedagogical planning, theories, and student assessment.

Solve Practice Set ↗
Section B Advanced Math Practice Set

Analytical problems from Linear Programming, Group theory, Euclidean postulates, and advanced statistics.

Solve Practice Set ↗

Model Answers & Solutions

Learn how to format and write ideal answers for subjective questions to secure high scores in the written exam.

Model Answers - 2080 Solutions

Ideal answers for 2080 subjective questions showing complete proofs and pedagogical teaching steps.

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Model Answers - 2079 Solutions

Step-by-step solved guidelines for Section B algebra and analytic geometry questions of 2079.

View Solutions ↗

नेपाल शिक्षक सेवा आयोग निम्न माध्यमिक तह गणित पाठ्यक्रम · MathNIMAVI

पूर्णाङ्क: १००  |  समय: ३ घण्टा  |  Deployed by bedprasaddhakal.com.np

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