The RPSC Senior Teacher (Grade-II) Competitive Examination – 2025 comprises two papers: Paper-I (General Knowledge) and Paper-II (Subject Specific – Mathematics).
The detailed syllabus for both papers is provided below. For the official RPSC 2nd Grade Syllabus PDF download (in both Hindi and English), candidates should check the official RPSC website as the definitive source.
1. RPSC 2nd Grade Paper-II: Mathematics Syllabus (300 Marks)
Paper-II for Mathematics is divided into three parts based on the level of difficulty. It consists of 150 multiple-choice questions for 300 marks with a duration of 2 hours and 30 minutes. Negative marking of 1/3rd is applicable.
Part (i): Secondary and Senior Secondary Standard (180 Marks)
This section covers topics from Class 9 to Class 12 Mathematics.
| Topic in English | Topic in Hindi (महत्वपूर्ण विषय) | Key Sub-Topics |
| Number System | संख्या प्रणाली | Real Numbers, Laws of Exponents, Fundamental Theorem of Arithmetic. |
| Algebra | बीजगणित | Linear Equations, Polynomials (Zeros, Remainder Theorem), Quadratic Equations, Binomial Theorem, Sequences & Series (A.P., G.P., H.P.), Permutations & Combinations, Complex Numbers, Matrices, and Determinants. |
| Plane Geometry | समतल ज्यामिति | Lines & Angles, Triangles (Congruence, Similarity, Inequalities), Quadrilaterals, Circles (Arcs, Angles, Tangents). |
| Coordinate Geometry | निर्देशांक ज्यामिति | 2D Geometry: Distance, Section Formula, Straight Line, Circle, Parabola, Ellipse, Hyperbola. 3D Geometry: Coordinates, Distance, Direction Cosines/Ratios, Straight Line, Plane. |
| Trigonometry | त्रिकोणमिति | Angle Measurement, Trigonometric Ratios/Functions, Compound/Multiple Angles, Solutions of Trigonometric Equations, Inverse Trigonometric Functions. |
| Calculus | कलन | Differential Calculus: Limits, Continuity, Differentiability, Derivatives (various forms), Rolle’s & Lagrange’s Theorem, Applications (Tangents, Normals, Maxima & Minima). Integral Calculus: Indefinite/Definite Integrals, Area under curves. |
| Surface Area & Volume | पृष्ठीय क्षेत्रफल और आयतन | Cube, Cuboid, Cone, Cylinder, Sphere, Frustum of a Cone. |
| Vector | सदिश | Dot Product, Cross Product, Scalar & Vector Triple Product. |
| Statistics & Probability | सांख्यिकी और प्रायिकता | Mean, Median, Mode, Measures of Dispersion, Laws of Probability, Conditional Probability, Binomial Distribution. |
Part (ii): Graduation Standard (80 Marks)
This section covers higher-level Mathematics topics.
| Topic in English | Topic in Hindi (महत्वपूर्ण विषय) | Key Sub-Topics |
| Abstract Algebra | अमूर्त बीजगणित | Groups (Definition, Properties, Cyclic Group, Subgroups, Cosets, Lagrange’s Theorem, Normal Subgroups, Homomorphism, Isomorphism). |
| Real Analysis | वास्तविक विश्लेषण | Limits, Continuity, Differentiability, Riemann Integration. |
| Analytical Geometry of Three Dimensions | त्रिविमीय विश्लेषणात्मक ज्यामिति | Sphere, Cone, Cylinder. |
| Vector Calculus | सदिश कलन | Differentiation & Integration of Vector Functions, Gradient, Divergence, and Curl. |
| Numerical Analysis & Difference Equation | संख्यात्मक विश्लेषण और अंतर समीकरण | Interpolation, Numerical Differentiation/Integration, Difference Equations. |
| Statics and Dynamics | स्थैतिकी और गतिकी | Forces (Composition, Resolution, Equilibrium), Simple Linear Motion, Laws of Motion, Projectile. |
| Linear Programming (L.P.) | रैखिक प्रोग्रामिंग | Graphical Method, Simplex Method, Duality, Transportation, and Assignment Problems. |
Part (iii): Teaching Methods of Mathematics (40 Marks)
| Topic in English | Topic in Hindi (महत्वपूर्ण विषय) |
| The Mathematics Teacher: Academic & Professional Preparation. | गणित शिक्षक: शैक्षणिक और व्यावसायिक तैयारी। |
| Principle of Curriculum & Qualities of a Good Text Book. | पाठ्यक्रम का सिद्धांत और एक अच्छी पाठ्य पुस्तक के गुण। |
| Evaluation and Feedback (Cognitive, Affective, Psychomotor). | मूल्यांकन और प्रतिपुष्टि (संज्ञानात्मक, भावनात्मक, मनोप्रेरक)। |
| Preparation and Use of Tests (Achievement & Diagnostic). | परीक्षणों की तैयारी और उपयोग (उपलब्धि और नैदानिक)। |
| Diagnostic, Remedial, and Enrichment Programmes. | नैदानिक, उपचारात्मक और संवर्धन कार्यक्रम। |
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2. RPSC 2nd Grade Paper-I: General Knowledge Syllabus (200 Marks)
Paper-I is common for all subjects. It consists of 100 multiple-choice questions for 200 marks with a duration of 2 hours. Negative marking of 1/3rd is applicable.
| Section | Marks | Topics in Hindi (महत्वपूर्ण विषय) |
| I. Geographical, Historical, Cultural and General Knowledge of Rajasthan | 80 | भूगोल: भौतिक विशेषताएँ, जलवायु, अपवाह तंत्र, वनस्पति, कृषि, पशुधन, जनसंख्या, उद्योग, पर्यटन केंद्र। इतिहास और संस्कृति: प्राचीन सभ्यता, 8वीं से 18वीं सदी तक का इतिहास (गुर्जर प्रतिहार, चौहान, मुगल संबंध), स्वतंत्रता संग्राम, एकीकरण, समाज एवं धर्म, लोक देवता/देवियाँ, वास्तुकला, चित्रकला, मेले/त्योहार, वेशभूषा, लोक संगीत/नृत्य, भाषा/साहित्य। प्रशासनिक व्यवस्था: राज्यपाल, मुख्यमंत्री, मंत्रिमंडल, सचिवालय, RPSC, मानवाधिकार आयोग, पंचायती राज। |
| II. Current Affairs of Rajasthan | 20 | राज्य स्तर पर सामाजिक-आर्थिक, राजनीतिक, खेल कूद से संबंधित प्रमुख समसामयिक मुद्दे। |
| III. General Knowledge of World & India | 60 | विश्व ज्ञान: महाद्वीप, महासागर, वैश्विक पवन तंत्र, पर्यावरणीय मुद्दे, भूमंडलीकरण, जनसंख्या वितरण। भारत का ज्ञान: भौतिक विशेषताएँ, मानसून तंत्र, अपवाह, वनस्पति, ऊर्जा संसाधन। भारतीय अर्थव्यवस्था: कृषि, उद्योग, सेवा क्षेत्र का विकास, विदेश व्यापार। संविधान और राजनीति: संवैधानिक इतिहास (1919, 1935 के अधिनियम), संविधान का निर्माण, मुख्य विशेषताएँ, मौलिक अधिकार/कर्तव्य, नीति निर्देशक सिद्धांत, राष्ट्रपति/प्रधानमंत्री, संघीय प्रणाली, विदेश नीति (नेहरू का योगदान), UNO। |
| IV. Educational Psychology | 40 | शिक्षा मनोविज्ञान: अर्थ, कार्यक्षेत्र, कक्षा-कक्ष की स्थिति में शिक्षक के लिए निहितार्थ। अधिगमकर्ता का विकास, अधिगम (अर्थ, प्रकार, सिद्धांत), व्यक्तित्व, बुद्धि और सृजनात्मकता, अभिप्रेरणा, वैयक्तिक विभिन्नताएँ, आत्म-संप्रत्यय, अभिवृत्ति, रुचि, आदतें, अभियोग्यता और सामाजिक कौशल की शैक्षिक निहितार्थ। |
📥 RPSC 2nd Grade Syllabus PDF Download
For the official, most up-to-date, subject-specific PDF files in both Hindi and English, you must visit the official Rajasthan Public Service Commission (RPSC) website at rpsc.rajasthan.gov.in under the ‘Candidate Information’ → ‘Syllabus’ section.
❓ RPSC 2nd Grade Maths 2025: Question Paper & Answer Key
The RPSC 2nd Grade Maths 2025 Question Paper and Answer Key will only be made available by the Rajasthan Public Service Commission after the completion of the competitive examination, which is scheduled for 2025. You should check the RPSC website for these official documents following the exam date.