A RPSC 2nd Grade Teacher Mathematics mock test from Toppersexam.com is a practice paper based on the latest exam pattern and syllabus, designed to help you assess your preparation level.
New Vacancy 2026
RPSC 2nd Grade Teacher Mathematics 2026 Notification, Online Form & Exam Date
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To crack the RPSC 2nd Grade Teacher Mathematics 2026 exam, understanding the detailed syllabus and exam pattern is mandatory. Aspirants should focus on strategic planning and rigorous time management for each selection phase. Boosting your speed through online mock tests and regular practice is the key to securing a high score in this competitive recruitment. For premium study material and practice sets, follow the expert curated resources on toppersexam.com.
RPSC 2nd Grade Teacher Mathematics Free Mock Test
Crack the RPSC 2nd Grade Teacher Mathematics Mock Test 2026 with the help of an online Test series or a free mock test. Every sample paper in the RPSC 2nd Grade Teacher Mathematics Exam has a designated weight, so do not miss out on any paper. Prepare for the RPSC 2nd Grade Teacher Mathematics mock test and check your test scores.
RPSC 2nd Grade Teacher (Mathematics) Syllabus 2026, Exam Pattern
RPSC 2nd Grade Teacher Mathematics Syllabus 2026, Exam Pattern, Exam Date 2026
Detail Information about RPSC has published notification 2026 for the recruitment of 2nd Grade Teacher (Mathematics) vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam Date also.
RPSC 2nd Grade Teacher Syllabus 2026 - Overview
RPSC 2nd Grade Teacher (Mathematics) Syllabus 2026
Part - (i)
(Secondary and Senior Secondary standard)
Number system : Irrational numbers, real numbers and their decimal expansions, operation on real numbers, Laws of exponents for real number, Fundamental theorem of Arithmetic
Plane Geometry : Angles and lines at a point, Angles made by a transversal with two lines, classification of triangles on the basis of sides and angles, Rectilinear figures, congruence of triangles, inequalities of triangles, similar triangles, Area of plane figures, Circles, Arcs and Angles subtended by them, Tangents to a circle
Algebra : Linear Equations (in two variables), Polynomials in one variable, zeroes of a polynomial, Remainder theorem, Factorization of polynomials, algebraic identifies, Mathematical induction, Binomial theorem, Quadratic equations, nature of roots, linear inequalities, finite and infinite sequences, Arithmetic progression, Geometric Progression, Harmonic Progression, Permutations, Combinations, Matrix, Determinants of order two and three, Inverse matrix, solution of simultaneous linear equations of two and three unknowns, Sets, Relations and Functions, Complex numbers, its elementary properties, Argand plane and polar representation of complex numbers, square root of a complex number
Surface Area and Volume : Cube, Cuboids, Cone, Cylinder and Sphere, Conversion of solid from one shape to another, frustum of a Cone
Trigonometry : Angles and their measurements, Trigonometric ratios of acute angles, Angles and lengths of arc, trigonometric functions, compound multiple angles, solutions of trigonometric equations, inverse trigonometric functions, properties of triangles
Calculus :
1 Differential Calculus - Limits, differentiability, continuity, derivative of Sum and Difference, derivative of product of functions, Composite functions, implicit functions, trigonometric functions, parametric functions, Second order derivative, Rolle’s and Lagrange’s mean value theorem, applications of derivatives, Increasing/decreasing function, tangents and normals, maxima and minima of one variable
2 Integral Calculus - Indefinite integrals, definite integrals, definite integral as a limit of sum, Applications of definite integral in finding the area under simple curves, arc of circles, lines/parabola/ellipse, area between the two above said curves
Co-ordinate Geometry :
1 Two Dimensional Geometry - Distance between two points, Sections formula, area of triangle, locus,equations of straight line, pair of straight lines, circles, parabola, ellipse, hyperbola, their equations, general properties, tangent, normal, chord of contact, pair of tangents
2 Co-ordinate Geometry in 3 - dimensions - Co-ordinate axes and co-ordinate planes in three dimensions, co-ordinates of a point, distance between two points and section formula, direction cosines/ratios of a line joining two points, Cartesian and vector equation of a line, coplaner and skew lines, shortest distance between two lines, cartesian and vector equation of a plane, Angle between
(i) two lines,
(ii) two planes
(iii) a line and a plane, distance of a point from a plane.
Statistics : Mean, Mode, Median, Quartiles, Deciles, Percentiles, Measure of dispersion, Probability - Laws of
probability, addition and multiplications law, conditional probability, Random variable and probability distributions, repeated independent (Bernoulli) trials and Bionomial distribution
Vector : Dot product, Cross product, their properties, Scalar triple product, Vector triple product and related problems
Part - (ii)
(Graduation Standard)
1 Abstract Algebra - Group, Normal subgroup, permutation group, Quotient group, Homomorphism & groups, Isomorphism theorems, Calay and Lagrange's theorems, Automorphism
2 Calculus - Partial derivatives, Maxima and Minima of functions of two variables, Asymptotes, double and triple integrals, Beta and Gamma functions. Mean Value Theorems
3 Real Analysis - Real numbers as a complete ordered field, linear sets, lower and upper bounds, limit points, closed and open sets, Real sequence, limit and convergence of a sequence, Riemann integration, convergence of series, absolute convergence, uniform convergence of sequence and series of functions
4 Vector Analysis - Differentiation of a vector functions of scalar variable, Gradient, divergence and curl (rectangular co-ordinates), vector identities, Gauss's Stoke's and Green's theorems
5 Differential Equations - Ordinary differential equations of first order and first degree, differential equations of first order but not of first degree, Clairaut's equations, general and singular solutions, linear differential equations with constant coefficients, homogeneous differential equation, second order linear differential equations, simultaneous linear differential equations of first order
6 Statics and Dynamics : Composition and resolution of co-planer forces, component of a force in two given directions, equilibrium of concurrent forces, parallel forces and moment, velocity and acceleration, simple linear motion under constant acceleration, Laws of motion, projectile
7 Linear Programming - Graphical method of solution of linear programming in two variables, convex sets and their properties, simplex method, Assignment problems, Transportation problems
8 Numerical Analysis and Difference Equation - Polynomial interpolation with equal or unequal stepsize, Lagrange's interpolation formula, Truncation error, Numerical differentiation, Numerical integration, Newton-Cotes quadrature formula, Gauss's quadrature formulae, convergence, Estimation of errors, Transcendental and polynomical equations, bisection method, Regula-falsi method, method of interation, Newton - Raphson method, Convergence, First and higher order homogeneous linear difference equations, non homogenous linear difference equations, Complementary functions, Particular integral
Part - (iii)
(Teaching Methods)
1. Meaning and Nature of Mathematics
2. Aims & Objectives of Mathematics Teaching
3. Methods of Mathematics Teaching (analytic, synthetic, inductive, deductive, heuristic, Project & Laboratory)
4. Using various techniques of teaching mathematics viz - Oral, written, drill, assignment, supervised - study & programmed Learning
5. Arousing and maintaining interest in learning of Mathematics
6. Importance & meaning of planning, Preparing Lesson Plan, Unit Plan, Yearly Plan, Short Lesson Plan
7. Preparing low cost improvised teaching aids, Audio-Visual aids in Mathematics
8. Transfer of mathematics learning to various subjects and actual life situation
9. Planning & equipments of Mathematics laboratory
10. The mathematics teacher academic & professional - preparation
11. Principle of curriculum & qualities of a good text book
12. Process of obtaining feed-back and evaluation in Mathematics in terms of Cognitive, Affective and Psychomotor Development
13. Preparation and use of tests for evaluation such as achievement test & diagnostic test
14. Diagnostic, Remedial and enrichment programmes with respect to syllabus at Secondary and Senior Secondary stages
15. Mathematics for gifted and retarded children
RPSC 2nd Grade Teacher (Mathematics) Exam Pattern 2026
Duration : 150 Minutes
Negative Marking : 0.33
Exam Date 2026 : 12th July to 18th July 2026 (Tentative)
Starting Date of Application Form : 19th August 2025
Last Date of Application Form : 17th September 2025
Total 1385
RPSC 2nd Grade Teacher Syllabus 2026 - Overview
| Department Name | Rajasthan Public Service Commission (RPSC) Ajmer |
| Post Name | 2nd Grade Teacher (Senior Teacher) |
| Job Location | Rajasthan |
| Vacancies | 1385 |
| Category | Syllabus & Exam Pattern |
| Official Website | www.rpsc.rajasthan.gov.in |
RPSC 2nd Grade Teacher (Mathematics) Syllabus 2026
Part - (i)
(Secondary and Senior Secondary standard)
Number system : Irrational numbers, real numbers and their decimal expansions, operation on real numbers, Laws of exponents for real number, Fundamental theorem of Arithmetic
Plane Geometry : Angles and lines at a point, Angles made by a transversal with two lines, classification of triangles on the basis of sides and angles, Rectilinear figures, congruence of triangles, inequalities of triangles, similar triangles, Area of plane figures, Circles, Arcs and Angles subtended by them, Tangents to a circle
Algebra : Linear Equations (in two variables), Polynomials in one variable, zeroes of a polynomial, Remainder theorem, Factorization of polynomials, algebraic identifies, Mathematical induction, Binomial theorem, Quadratic equations, nature of roots, linear inequalities, finite and infinite sequences, Arithmetic progression, Geometric Progression, Harmonic Progression, Permutations, Combinations, Matrix, Determinants of order two and three, Inverse matrix, solution of simultaneous linear equations of two and three unknowns, Sets, Relations and Functions, Complex numbers, its elementary properties, Argand plane and polar representation of complex numbers, square root of a complex number
Surface Area and Volume : Cube, Cuboids, Cone, Cylinder and Sphere, Conversion of solid from one shape to another, frustum of a Cone
Trigonometry : Angles and their measurements, Trigonometric ratios of acute angles, Angles and lengths of arc, trigonometric functions, compound multiple angles, solutions of trigonometric equations, inverse trigonometric functions, properties of triangles
Calculus :
1 Differential Calculus - Limits, differentiability, continuity, derivative of Sum and Difference, derivative of product of functions, Composite functions, implicit functions, trigonometric functions, parametric functions, Second order derivative, Rolle’s and Lagrange’s mean value theorem, applications of derivatives, Increasing/decreasing function, tangents and normals, maxima and minima of one variable
2 Integral Calculus - Indefinite integrals, definite integrals, definite integral as a limit of sum, Applications of definite integral in finding the area under simple curves, arc of circles, lines/parabola/ellipse, area between the two above said curves
Co-ordinate Geometry :
1 Two Dimensional Geometry - Distance between two points, Sections formula, area of triangle, locus,equations of straight line, pair of straight lines, circles, parabola, ellipse, hyperbola, their equations, general properties, tangent, normal, chord of contact, pair of tangents
2 Co-ordinate Geometry in 3 - dimensions - Co-ordinate axes and co-ordinate planes in three dimensions, co-ordinates of a point, distance between two points and section formula, direction cosines/ratios of a line joining two points, Cartesian and vector equation of a line, coplaner and skew lines, shortest distance between two lines, cartesian and vector equation of a plane, Angle between
(i) two lines,
(ii) two planes
(iii) a line and a plane, distance of a point from a plane.
Statistics : Mean, Mode, Median, Quartiles, Deciles, Percentiles, Measure of dispersion, Probability - Laws of
probability, addition and multiplications law, conditional probability, Random variable and probability distributions, repeated independent (Bernoulli) trials and Bionomial distribution
Vector : Dot product, Cross product, their properties, Scalar triple product, Vector triple product and related problems
Part - (ii)
(Graduation Standard)
1 Abstract Algebra - Group, Normal subgroup, permutation group, Quotient group, Homomorphism & groups, Isomorphism theorems, Calay and Lagrange's theorems, Automorphism
2 Calculus - Partial derivatives, Maxima and Minima of functions of two variables, Asymptotes, double and triple integrals, Beta and Gamma functions. Mean Value Theorems
3 Real Analysis - Real numbers as a complete ordered field, linear sets, lower and upper bounds, limit points, closed and open sets, Real sequence, limit and convergence of a sequence, Riemann integration, convergence of series, absolute convergence, uniform convergence of sequence and series of functions
4 Vector Analysis - Differentiation of a vector functions of scalar variable, Gradient, divergence and curl (rectangular co-ordinates), vector identities, Gauss's Stoke's and Green's theorems
5 Differential Equations - Ordinary differential equations of first order and first degree, differential equations of first order but not of first degree, Clairaut's equations, general and singular solutions, linear differential equations with constant coefficients, homogeneous differential equation, second order linear differential equations, simultaneous linear differential equations of first order
6 Statics and Dynamics : Composition and resolution of co-planer forces, component of a force in two given directions, equilibrium of concurrent forces, parallel forces and moment, velocity and acceleration, simple linear motion under constant acceleration, Laws of motion, projectile
7 Linear Programming - Graphical method of solution of linear programming in two variables, convex sets and their properties, simplex method, Assignment problems, Transportation problems
8 Numerical Analysis and Difference Equation - Polynomial interpolation with equal or unequal stepsize, Lagrange's interpolation formula, Truncation error, Numerical differentiation, Numerical integration, Newton-Cotes quadrature formula, Gauss's quadrature formulae, convergence, Estimation of errors, Transcendental and polynomical equations, bisection method, Regula-falsi method, method of interation, Newton - Raphson method, Convergence, First and higher order homogeneous linear difference equations, non homogenous linear difference equations, Complementary functions, Particular integral
Part - (iii)
(Teaching Methods)
1. Meaning and Nature of Mathematics
2. Aims & Objectives of Mathematics Teaching
3. Methods of Mathematics Teaching (analytic, synthetic, inductive, deductive, heuristic, Project & Laboratory)
4. Using various techniques of teaching mathematics viz - Oral, written, drill, assignment, supervised - study & programmed Learning
5. Arousing and maintaining interest in learning of Mathematics
6. Importance & meaning of planning, Preparing Lesson Plan, Unit Plan, Yearly Plan, Short Lesson Plan
7. Preparing low cost improvised teaching aids, Audio-Visual aids in Mathematics
8. Transfer of mathematics learning to various subjects and actual life situation
9. Planning & equipments of Mathematics laboratory
10. The mathematics teacher academic & professional - preparation
11. Principle of curriculum & qualities of a good text book
12. Process of obtaining feed-back and evaluation in Mathematics in terms of Cognitive, Affective and Psychomotor Development
13. Preparation and use of tests for evaluation such as achievement test & diagnostic test
14. Diagnostic, Remedial and enrichment programmes with respect to syllabus at Secondary and Senior Secondary stages
15. Mathematics for gifted and retarded children
RPSC 2nd Grade Teacher (Mathematics) Exam Pattern 2026
Duration : 150 Minutes
Negative Marking : 0.33
| S.No | Subject | No.of Question | Marks |
| 1. | Knowledge of Secondary and Sr. Secondary Standard | 90 | 180 |
| 2. | Knowledge of Graduation Standard | 40 | 80 |
| 3. | Teaching Methods of relevant subject (Mathematics) | 20 | 40 |
| Total | 150 | 300 |
Exam Date 2026 : 12th July to 18th July 2026 (Tentative)
Starting Date of Application Form : 19th August 2025
Last Date of Application Form : 17th September 2025
Total 1385
RPSC 2nd Grade Teacher (Mathematics) Exam Free Online Test Series
Crack RPSC 2nd Grade Teacher (Mathematics) 2026 with the help of Online Test Series or Free Mock Test. Every Sample Paper in Rajasthan Senior Teacher Exam has a designated weightage so do not miss out any Paper. Prepare and Question Paper and Online Test Free for RPSC 2nd Grade Teacher and check your test scores.
RPSC 2nd Grade Teacher Mathematics Exam Free Online Question Bank
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5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
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5. 1000 (+) GK MCQ with Answer PDF Book in English.
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5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi
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2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
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Combo - 6 (English)
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5. 1500 (+) Current Affairs MCQ with Answer PDF in English
6. 1000 (+) GK MCQ with Answer PDF Book in English.
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3. Printed Material 07 Mock Test Papers with OMR Sheet.
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Subjectwise / Sectional Mock Test - MCQs / Important Questions & Previous Year Papers
FAQs
Rpsc 2nd Grade Teacher (mathematics) 2026 Free Mock Test Frequently Asked Questions (FAQ's)
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