The mathematics syllabus for the TNPSC Group 4 exam generally covers topics from arithmetic and basic quantitative aptitude. Here is an outline of the mathematics syllabus for TNPSC Group 4:
- Numerical Ability:
- Number Systems: Properties of integers, divisibility rules, factors and multiples, LCM (Least Common Multiple), HCF (Highest Common Factor).
- Fractions and Decimals: Simplification, operations on fractions and decimals, conversion between fractions and decimals.
- Percentages: Calculation of percentages, applications in profit and loss, discount, interest, etc.
- Ratio and Proportion: Direct and inverse proportion, comparison of ratios, sharing and distribution problems.
- Time and Work: Problems based on work efficiency, time and work, wages, etc.
- Time and Distance: Problems on speed, time, distance, and relative speed, average speed.
- Average: Calculation of average, weighted average, problems on average speed, average age, etc.
- Simple and Compound Interest: Interest calculations, applications in loans, investments, etc.
- Partnership: Problems based on partnership and sharing of profits or losses.
- Algebra:
- Basic Algebraic Identities: Expansion of algebraic expressions, factorization.
- Linear Equations: Problems involving linear equations in one or two variables.
- Quadratic Equations: Problems based on finding roots of quadratic equations, nature of roots.
- Geometry:
- Basic Geometric Concepts: Lines, angles, triangles, quadrilaterals, circles, polygons.
- Mensuration: Problems related to areas and volumes of basic geometric shapes like squares, rectangles, circles, triangles, cubes, cylinders, cones, and spheres.
- Coordinate Geometry: Distance formula, section formula, area of triangles, equation of lines.
- Trigonometry:
- Trigonometric Ratios: Definitions of sine, cosine, tangent, cosecant, secant, and cotangent.
- Trigonometric Identities: Basic trigonometric identities, trigonometric equations.
- Statistics and Probability:
- Data Interpretation: Tabulation, bar graphs, pie charts, line graphs.
- Probability: Basic concepts of probability, problems based on probability of events.
Candidates preparing for the mathematics section of the TNPSC Group 4 exam should thoroughly study each of these topics according to the prescribed syllabus. It’s important to understand the concepts and practice solving problems to improve speed and accuracy. Utilizing previous years’ question papers, mock tests, and reference books focused on quantitative aptitude and arithmetic will be beneficial for exam preparation.