Here is a complete Maths and its important parts list for competitive examinations such as SSC, Banking, Railway, UPSC CSAT, State PSC, Police, Defence and other government exams. Here we given strategy for How to improve maths from basic .

How to Improve Maths from Basic: Follow These Three Habits

If you want to know How to improve maths from basic, start with these three important habits.

1. Learn and Memorise Multiplication Tables

Multiplication tables are very important for building a strong foundation in mathematics.

Start by learning tables from 2 to 20. When you know tables well, multiplication, division, percentages, ratios, and many competitive exam calculations become easier and faster.

Example:

12 × 8 = 96

Because you know the table, you can solve this calculation quickly.

2. Learn Basic Calculations

To improve your maths, you need to become comfortable with basic calculations.

Practise these regularly:

Addition
Subtraction
Multiplication
Division
Fractions
Decimals
Percentages
Squares
Cubes
HCF and LCM

In the beginning, try to solve calculations without using a calculator. This will help improve your calculation speed and accuracy.

3. Practise Maths Every Day

The best way to improve mathematics is daily practice.

Even 30 minutes of maths practice every day can help you improve gradually.

Simple Daily Practice Plan

10 minutes: Revise multiplication tables and formulas
10 minutes: Practise basic calculations
10 minutes: Solve maths questions

Practising a little every day is usually better than studying for many hours only once a week.

Remember This Simple Formula:

Learn Tables → Improve Basic Calculation → Practise Every Day → Increase Speed and Accuracy

This habit can help students improve their school mathematics and prepare for competitive examinations such as SSC, Banking, Railway, UPSC CSAT, and other government exams.

A Simple Rule for Improving Maths

Learn the Basics + Memorise Tables + Practise Daily = Better Maths

Improving maths does not happen in one day. However, if you revise multiplication tables, practise basic calculations, and solve questions regularly, your confidence and calculation speed can gradually improve.

Do not be afraid of mathematics. Start with the basics, practise every day, and take one step forward at a time.

📘 Competitive Maths – Complete Topic List

1. Number System

Natural Numbers
Whole Numbers
Integers
Rational & Irrational Numbers
Prime Numbers
Composite Numbers
Even & Odd Numbers
Factors & Multiples
Divisibility Rules
HCF & LCM
Remainders
Unit Digit
Last Two/Three Digits
Number of Factors
Sum of Factors

2. Simplification

BODMAS Rule
Fractions
Decimals
Surds & Indices
Square Roots
Cube Roots
Approximation
Simplification Tricks
Fast Calculation Methods

3. Percentage

Basic Percentage
Percentage Increase
Percentage Decrease
Successive Percentage Change
Reverse Percentage
Population-Based Questions
Salary and Expenditure Questions
Marks-Based Questions

4. Profit, Loss & Discount

Cost Price
Selling Price
Marked Price
Profit
Loss
Profit Percentage
Loss Percentage
Discount
Successive Discount
False Weight
Profit and Loss with Discount

5. Average

Basic Average
Weighted Average
Average of Consecutive Numbers
Average Age
Average Marks
Average Speed
Replacement Problems
Combined Average

6. Ratio & Proportion

Basic Ratio
Simplification of Ratios
Dividing Quantities in Ratio
Direct Proportion
Inverse Proportion
Continued Proportion
Fourth Proportional
Third Proportional
Partnership Problems

7. Time & Work

Basic Work Problems
Efficiency
Individual Work
Combined Work
LCM Method
Work and Wages
Men, Women & Children
Pipes and Cisterns
Work Equivalence

8. Time, Speed & Distance

Basic Speed Formula
Unit Conversion
Average Speed
Relative Speed
Trains
Boats & Streams
Races
Circular Track
Meeting Point Problems

9. Simple Interest

Principal
Rate
Time
Simple Interest
Amount
Finding Missing Values
Installments
Difference Between Interest Amounts

10. Compound Interest

Compound Amount
Annual Compounding
Half-Yearly Compounding
Quarterly Compounding
Depreciation
Growth and Decay
Difference Between SI and CI

11. Algebra

Algebraic Expressions
Linear Equations
Quadratic Equations
Identities
Factorisation
Simultaneous Equations
Inequalities
Algebraic Simplification

Important Identities

$(a+b)^2=a^2+2ab+b^2$ (a+b)2=a2+2ab+b2 $(a-b)^2=a^2-2ab+b^2$ (a−b)2=a2−2ab+b2 $a^2-b^2=(a+b)(a-b)$ a2−b2=(a+b)(a−b) $(a+b)^3=a^3+b^3+3ab(a+b)$ (a+b)3=a3+b3+3ab(a+b)

12. Geometry

Lines and Angles
Triangles
Quadrilaterals
Polygons
Circles
Congruence
Similarity
Theorems
Coordinate Geometry

13. Mensuration 2D

Square

$Area=a^2$ Area=a2 $Perimeter=4a$ Perimeter=4a

Rectangle

$Area=l\times b$ Area=l×b $Perimeter=2(l+b)$ Perimeter=2(l+b)

Triangle

$Area=\frac{1}{2}\times Base\times Height$ Area=21×Base×Height

Circle

$Area=\pi r^2$ Area=πr2 $Circumference=2\pi r$ Circumference=2πr

14. Mensuration 3D

Cube

Volume
Total Surface Area
Lateral Surface Area

Cuboid

Volume
Surface Area
Diagonal

Cylinder

Volume
Curved Surface Area
Total Surface Area

Cone

Volume
Curved Surface Area
Slant Height

Sphere

Volume
Surface Area

15. Data Interpretation

Table DI
Bar Graph
Line Graph
Pie Chart
Caselet DI
Mixed Graph
Percentage DI
Ratio DI
Average DI
Comparison DI

16. Statistics

Mean
Median
Mode
Range
Basic Data Analysis

17. Permutation & Combination

Fundamental Principle of Counting
Factorial
Permutations
Combinations
Arrangement Problems
Selection Problems

18. Probability

Basic Probability
Favourable Outcomes
Total Outcomes
Coins
Dice
Cards
Simple Events

Formula

$Probability= \frac{Favourable\ Outcomes}{Total\ Outcomes}$ Probability=Total OutcomesFavourable Outcomes

19. Set Theory

Sets
Union
Intersection
Venn Diagrams
Two-Set Problems
Three-Set Problems

20. Sequence & Series

Arithmetic Progression (AP)
Geometric Progression (GP)
Number Patterns
Sum of Series

Reasoning
1.Coding-Decoding
2.Number Series
3.Blood Relation
4.Direction Sense
5.Syllogism
6.Seating Arrangement
7.Ranking
8.Analogy
9.Calendar & Clock
10.Puzzle

here we given maths formula pdf and maths formula list also reasoning formula list.