SSC CGL Mathematics (2025) Arithmetic and Advanced Maths Topic List

 

SSC CGL Mathematics (2025) 

Here is a detailed topic list for SSC CGL Mathematics (2025) divided into Arithmetic and Advanced Mathematics, based on the usual syllabus:

Arithmetic Mathematics

1. Percentage

2. Profit, Loss, and Discount

3. Simple Interest (SI) and Compound Interest (CI)

4. Ratio and Proportion

5. Mixture and Allegation

6. Time and Work

7. Pipes and Cisterns

8. Time, Speed, and Distance:

Boats and Streams

Trains

9. Average

10. Partnership

11. LCM and HCF

12. Ages

13. Number System :

Divisibility Rules

Remainders

Simplification

Advanced Mathematics

1. Algebra:

Basic Algebraic Identities

Quadratic Equations

Linear Equations

2. Geometry:

Lines and Angles

Triangles (Properties, Similarity, Congruence)

Circles

Polygons

Quadrilaterals

Coordinate Geometry

3. Mensuration:

2D Figures (Square, Rectangle, Triangle, Circle)

3D Figures (Cube, Cuboid, Cylinder, Cone, Sphere, Prism, Pyramid)

4. Trigonometry:

Trigonometric Ratios

Trigonometric Identities

Heights and Distances

Complementary Angles

5. Statistics:

Mean, Median, Mode

Variance and Standard Deviation

6. Data Interpretation:

Tabular Data

Pie Charts

Bar Graphs

Line Graphs

Preparation Tips:

1. Arithmetic topics are more common in Tier I and involve quick calculations.

2. Advanced Mathematics is critical for Tier II and requires in-depth conceptual clarity.

3. Focus on shortcuts and tricks for arithmetic topics to save time.

4. Practice diagram-based questions in Geometry and Mensuration.

5. Revise Trigonometric formulas regularly.

6. Attempt previous years' papers to identify frequently asked topics.

Here’s a topic-wise preparation strategy for SSC CGL Mathematics to help you excel:

Arithmetic Preparation Strategies:

1. Percentage:

Understand percentage conversions (e.g., fractions to percentages and vice versa).

Practice word problems involving profit/loss and population growth.

2. Profit, Loss, and Discount:

Master the use of cost price (CP), selling price (SP), and marked price (MP).

Solve compound problems involving multiple discounts or successive profits.

3. Simple Interest (SI) and Compound Interest (CI):

Learn the formulas and differences between SI and CI.

Focus on questions involving the rate of increase/decrease or time gaps.

4. Ratio and Proportion:

Practice dividing a quantity into ratios and solving age/mixing-related problems.

Combine it with other topics like partnership and mixtures.

5. Mixture and Allegation:

Focus on rule of allegation for weighted averages and mixture pricing problems.

Solve problems involving liquids, grains, or profits.

6. Time and Work:

Practice efficiency-based problems (e.g., A completes work in x days).

Learn LCM-based approaches for multiple workers or tasks.

7. Pipes and Cisterns:

Understand the inflow and outflow scenarios.

Relate these problems to time and work for quicker solutions.

8. Time, Speed, and Distance:

Memorize basic formulas for speed, distance, and time.

Special focus on Boats and Streams, and Train problems.

9. Average:

Practice problems on weighted averages and deviation-based questions.

Relate averages to mean and solve combined-group problems.

10. Partnership:

Learn to calculate profit sharing based on capital investments and time periods.

11. LCM and HCF:

Practice number-based problems like finding divisible numbers, smallest numbers, etc.

Solve real-life problems like arranging items in groups.

12. Ages:

Focus on forming equations and solving them for present/future ages.

13. Number System:

Strengthen basics like divisibility, remainders, and unit digit patterns.

Practice cyclic patterns in last-digit problems and simplify large power numbers.

Advanced Mathematics Preparation Strategies:

1. Algebra:

Learn basic formulas for squares, cubes, and identities (a+b)², etc.

Focus on solving linear and quadratic equations efficiently.

2. Geometry:

Memorize all properties and theorems related to triangles, circles, and quadrilaterals.

Focus on diagram-based questions to identify hidden properties.

Solve problems involving tangents and cyclic quadrilaterals.

3. Mensuration:

Memorize volume, area, and surface area formulas of all 2D and 3D figures.

Pay attention to problems mixing multiple shapes (e.g., cones with cylinders).

4. Trigonometry:

Learn all trigonometric ratios and identities by heart.

Solve height-distance problems using diagrams and angles.

Practice complementary angle problems (e.g., sin(90° - θ) = cosθ).

5. Statistics:

Focus on calculating mean, median, and mode from data tables.

Understand variance and standard deviation concepts with solved examples.

6. Data Interpretation:

Practice tabular data, pie charts, bar graphs, and line graphs.

Work on speed and accuracy to solve these questions quickly.

General Preparation Tips

1. Focus on High-Weight Topics:

Prioritize Geometry, Algebra, Trigonometry, and Profit-Loss for better returns.

2. Solve Previous Years’ Papers:

Identify frequently asked questions and focus more on them.

3. Learn Shortcuts:

Memorize tables, squares, cubes, and common trigonometric values.

4. Time Management:

Practice mock tests within a stipulated time to improve speed and accuracy.

5. Clear Concepts:

Understand the basics before moving to advanced tricks for each topic.

6. Daily Practice:

Allocate daily practice time for each topic to maintain consistency.