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Mathematics Notes: Chapter-wise Free PDF

School-level to SSC-level maths: algebra, geometry, coordinate geometry, sequences, mensuration and trigonometry notes with formulas and examples.

1

Coordinate Geometry Notes for SSC Exams

Coordinate geometry notes for SSC: distance, section and midpoint formulas, centroid, area of a triangle, slope, line equations and solved examples.

6 min read PDF available Read note
2

Arithmetic and Geometric Progression Notes for SSC Exams

Arithmetic and geometric progression notes for SSC: nth term, sum, arithmetic mean, geometric mean, infinite GP and solved examples.

5 min read PDF available Read note
3

Linear Equations in Two Variables Notes for SSC Exams

Linear equations in two variables notes for SSC: substitution, elimination, cross multiplication, consistency conditions and word problems.

6 min read PDF available Read note
4

Algebraic Identities and Factorisation Notes for SSC Exams

Algebraic identities and factorisation notes for SSC: square and cube identities, a+b+c identities, x plus 1/x problems and factorisation methods.

5 min read PDF available Read note
5

Lines and Angles Notes for SSC Exams

Lines and angles notes for SSC: types of angles, parallel lines and transversal, triangle and polygon angle sums and solved examples.

5 min read PDF available Read note
6

Percentage Tricks and Shortcuts: Questions with Solutions for SSC CGL, CHSL, MTS (Maths)

Percentage notes for SSC maths: fraction to percentage table, multiplier method, successive change, population, marks and election questions with solutions.

5 min read PDF available Read note
7

Profit and Loss Tricks: Discount, Marked Price and Successive Discount Questions for SSC CGL, CHSL

Profit and loss notes for SSC maths: profit percent, marked price, successive discount, dishonest dealer and same selling price questions with solutions.

5 min read PDF available Read note
8

Simple Interest and Compound Interest Tricks: Formulas, Difference and Questions for SSC CGL, CHSL

Simple interest and compound interest notes for SSC: formulas, difference between CI and SI, half-yearly interest, doubling time and solved questions.

5 min read PDF available Read note
9

Average Tricks: Formulas, Weighted Average and Questions with Solutions for SSC CGL, CHSL

Average notes for SSC maths: average formula, weighted average, replacement, new person joins, cricket average and age questions with solutions.

5 min read PDF available Read note
10

Ratio and Proportion Tricks: Partnership, Mixture and Alligation Questions for SSC CGL, CHSL

Ratio and proportion notes for SSC maths: types of proportion, dividing in a ratio, partnership, mixture, alligation and age ratio questions with solutions.

5 min read PDF available Read note
11

Time and Work Tricks: LCM Method, Pipes and Cisterns and Wages Questions for SSC CGL, CHSL

Time and work notes for SSC maths: one-day work, LCM method, leaving and joining, wages, men-days, pipes and cisterns and alternate days with solved questions.

6 min read PDF available Read note
12

Time, Speed and Distance Tricks: Trains, Boats and Streams, Relative Speed Questions for SSC CGL, CHSL

Time, speed and distance notes for SSC maths: unit conversion, average speed, relative speed, trains, boats and streams, races and circular track with solved questions.

5 min read PDF available Read note
13

Number System Tricks: Divisibility, Remainder, Unit Digit, HCF and LCM Questions for SSC CGL, CHSL

Number system notes for SSC maths: divisibility rules, remainder tricks, unit digit cycles, factors, HCF and LCM questions with solved examples.

4 min read PDF available Read note
14

Trigonometry Tricks: Ratios, Identities, Height and Distance Questions for SSC CGL, CHSL

Trigonometry notes for SSC maths: trigonometric ratios, standard angle table, identities, complementary angles and height and distance questions with solutions.

4 min read PDF available Read note
15

Mensuration Tricks: Area, Volume and Surface Area of 2D and 3D Shapes Questions for SSC CGL, CHSL

Mensuration notes for SSC maths: area and perimeter of plane figures, volume and surface area of solids, shortcuts and solved questions.

5 min read PDF available Read note
16

Triangles: Congruence, Similarity, Centres, Theorems and Formulas with Solved Examples for SSC CGL and CHSL Geometry

Triangle notes for SSC geometry: types, congruence and similarity rules, Pythagoras, Apollonius theorem, centroid, incentre, circumcentre, orthocentre, area formulas, inradius and circumradius with solved examples.

6 min read PDF available Read note
17

Circles: Chords, Tangents, Angles, Cyclic Quadrilateral and Common Tangents with Formulas and Solved Examples for SSC

Circle geometry notes for SSC: chord properties, angle theorems, cyclic quadrilateral, tangent properties, alternate segment theorem, common tangents, intersecting chords and secant tangent formulas with solved examples.

7 min read PDF available Read note
18

Quadrilaterals and Polygons: Properties, Angle Sum, Diagonals and Area Formulas for SSC CGL and CHSL Geometry

Quadrilaterals and polygons notes for SSC geometry: parallelogram, rhombus, rectangle, square, trapezium, kite properties, interior and exterior angles of polygons, diagonals, area formulas and solved examples.

6 min read PDF available Read note
19

Polynomials: Remainder Theorem, Factor Theorem, Roots and Coefficients and Algebraic Identities for SSC CGL Algebra

Polynomial notes for SSC algebra: degree and zeros, remainder theorem, factor theorem, sum and product of roots, cubic roots relations, a3+b3+c3-3abc identity, x+1/x type questions with solved examples.

6 min read PDF available Read note
20

Inequalities and Modulus: Linear and Quadratic Inequalities, Absolute Value and AM-GM Maximum Minimum for SSC CGL Maths

Inequalities and modulus notes for SSC maths: properties of inequalities, solving linear and quadratic inequalities, absolute value equations, triangle inequality, AM GM, maximum and minimum with solved examples.

6 min read PDF available Read note

SSC Mathematics Notes: Free Topic-wise Study Material for All SSC Exams

Mathematics is the section that decides the final rank in most SSC exams, because every question has one right answer and a student who knows the method scores full marks. SSC CGL, CHSL, MTS and GD all have a maths section, and the questions come from the school syllabus up to Class 10, with a few topics from Class 11 and 12 in the higher tiers. These SSC Mathematics notes explain every topic in simple language, with the formula, the solved example and the common trap.

The notes are made for students who studied in Hindi or English medium and want to rebuild their basics step by step. Read one topic, solve the examples and then practise from the previous year papers.

What You Get in These Mathematics Notes

  • Topic-wise notes with the important formulas in table form
  • Solved examples that follow the SSC exam pattern
  • Quick revision points and practice questions with answers
  • Free PDF notes with a cover page for offline reading
  • Links to Quantitative Aptitude, Statistics and Reasoning notes for a complete plan

Which Maths Topics Are Asked in SSC

TopicExamples of questions
ArithmeticPercentage, profit and loss, ratio, average, time and work, speed and distance
AlgebraLinear equations, identities, quadratic equations and inequalities
GeometryTriangles, circles, quadrilaterals, lines and angles
MensurationArea, perimeter, surface area and volume of 2D and 3D figures
TrigonometryRatios, identities, heights and distances
Coordinate geometry and sequencesDistance, section formula, AP and GP
Statistics and probabilityMean, median, mode, dispersion and probability

Maths in Different SSC Exams

ExamMaths section
SSC CGL Tier 1Quantitative Aptitude of 25 questions
SSC CHSL Tier 1Quantitative Aptitude of 25 questions
SSC MTSNumerical and Mathematical Ability of 20 questions in each session
SSC GDElementary Mathematics of 20 questions
SSC CGL Tier 2Higher level Mathematical Abilities

The number of questions and marks can change in every notification, so check the latest SSC notification for the exact pattern.

Mathematics and Quantitative Aptitude: What Is the Difference

  • Mathematics is the school-style subject with chapters such as algebra, geometry and coordinate geometry.
  • Quantitative Aptitude is the exam name of the same section, and it stresses speed, shortcuts and calculation.
  • These notes build the concepts, and the Quantitative Aptitude notes give the shortcut methods.

Important Chapters and Key Formulas

ChapterKey formula or idea
Algebra(a + b)2 = a2 + 2ab + b2; a2 − b2 = (a + b)(a − b)
Coordinate geometryDistance = √[(x2 − x1)2 + (y2 − y1)2]
SequencesAP: nth term = a + (n − 1)d; GP: nth term = a rn − 1
MensurationArea of a circle = πr2; volume of a cylinder = πr2h
Trigonometrysin2θ + cos2θ = 1

Common Mistakes Students Make

  • Memorising formulas without solving questions.
  • Making calculation errors in simple multiplication and division.
  • Ignoring units such as cm, m and km in mensuration.
  • Skipping the easy chapters because they look boring, although they give quick marks.

How to Prepare Mathematics Step by Step

  1. Revise the basics of arithmetic first: fractions, percentages and ratio.
  2. Learn one chapter at a time and note its formulas on a sheet.
  3. Solve at least 20 questions of every chapter before moving on.
  4. Take one sectional maths test every week and note the weak topics.
  5. Learn tables up to 20, squares up to 30 and cubes up to 15 for faster calculation.
  6. In the last month, solve full maths sections of previous year papers in the time limit.

Tips to Avoid Silly Mistakes

  • Read the question twice before you start, because many questions change one small condition.
  • Do not spend more than 90 seconds on one maths question.
  • Check the units and the options before choosing the answer.
  • Keep a short notebook of formulas and revise it every Sunday.

Practise and Revise

After each chapter, solve questions from the SSC previous year papers, the practice papers and the free quizzes. Also read the Quantitative Aptitude notes, the Statistics notes and the Reasoning notes, and see the Formula Guide for quick revision.

Frequently Asked Questions About Mathematics Notes

Where can I read SSC Mathematics notes for free?

You can read these notes free on this website. They cover algebra, geometry, coordinate geometry, sequences, mensuration and trigonometry, and you can also buy the PDF.

Are these Mathematics notes enough for SSC exams?

They give a strong base and quick revision. For selection, also practise previous year papers and mock tests regularly.

Which maths topics are most important for SSC?

Arithmetic, algebra, geometry, mensuration and trigonometry give the most questions in SSC exams.

How can I improve my maths for SSC?

Learn the concepts first, practise daily, learn tables and squares, and take weekly tests.

How many hours should I study maths daily?

Give about 2 hours daily for maths, and divide it into theory and practice.

What is the maths syllabus of SSC CGL?

It covers arithmetic, algebra, geometry, mensuration, trigonometry and statistics at the level of Class 10, and higher in Tier 2.

Is maths asked in SSC GD and MTS?

Yes. SSC GD has an Elementary Mathematics section and SSC MTS has a Numerical and Mathematical Ability section.

How many questions come from maths in SSC CGL Tier 1?

Quantitative Aptitude has 25 questions in Tier 1, but check the latest notification for any change.

What is the difference between Mathematics and Quantitative Aptitude?

Mathematics is the school-style subject, and Quantitative Aptitude is the exam section that focuses on speed and shortcuts.

Should I learn shortcuts or concepts first?

Learn the concept first and the shortcut later, because a shortcut without the concept causes mistakes.

Are formulas given in the SSC exam?

No. You must remember the formulas, so keep a formula sheet and revise it daily.

Can I download these notes as a PDF?

Yes. Each note has a PDF with a cover page, available for a small price of Rs 5.