SSC 2027 Formula Book

SSC 2027 Mathematics & Higher Mathematics Formula Book A Complete Chapter-wise Reference of Formulas, Identities, Theorems, Special Cases and Exam-Useful Relations Aligned with the NCTB National Curriculum 2012 Classes IX–X Prescribed Textbooks গিণত· উচ্চতরগিণত Covers the FULL SYLLABUS Part I — General Mathematics: all 17 chapters Part II — Higher Mathematics: all 14 chapters Prepared for: MCQ · Short Questions · Creative Questions · Practical · Board Examination Edition 1 · Compiled August 2026 · For the SSC Examination of 2027 Every formula in this book has been checked against the NCTB Classes IX–X chapter structure for General Mathematics and Higher Mathematics.

Front Matter How to Use This Book How to Use This Book This is a reference, not a textbook. Everything is arranged strictly in the order of the NCTB Classes IX–X textbooks, so a chapter number here is the same chapter number in your book. The five-part structure of every chapter x.1 Fundamental Concepts Only the definitions you must know to use the formulas. x.2 Essential Formu- las Every formula the syllabus requires, in the form most useful in the exam hall. x.3 Important Re- sults Theorems, properties and standard results — including those never written as “formulas”. x.4 Special Cases Special angles, special configurations, limiting and exceptional cases. x.5 Exam-Useful Rela- tions Shortcuts, rearrangements and time-savers for MCQ and CQ. Not every chapter needs all five headings; a heading is used only when it carries genuine content, so that nothing is padded and nothing is repeated. Colour code of the boxes ■Green — Definitions A term you must be able to state precisely. ■Blue — Essential Formu- las Core, must-memorise material. ■Red — Conditions Restrictions. Marks are lost here more often than anywhere else. ■Amber — Exam-Useful Shortcuts and derived forms that save time.

Front Matter The SSC 2027 Syllabus at a Glance The SSC 2027 Syllabus at a Glance The SSC examination of 2027 is held on the full syllabus of the National Curriculum 2012, using the NCTB Classes IX–X textbooks. No chapter of either Mathematics or Higher Mathematics is excluded. Marks distribution (SSC 2027) Subject Creative (CQ) Short Q. MCQ Practical Total Mathematics ( গিণত) 50 20 30 — 100 Higher Mathematics ( উচ্চতরগিণত) 40 10 25 25 100 Note. The short question component is a distinguishing feature of the 2027 pattern. Short questions are answered almost entirely from formulas, identities, definitions and standard results — exactly the material collected in this book. Chapter map Part I — General Mathematics Part II — Higher Mathematics 1 Real Numbers 1 Set and Function 2 Set and Function 2 Algebraic Expressions 3 Algebraic Expressions 3 Geometry 4 Exponents and Logarithms 4 Geometric Construction 5 Equations with One Variable 5 Equations 6 Lines, Angles and Triangles 6 Inequality 7 Practical Geometry 7 Infinite Series 8 Circle 8 Trigonometry 9 Trigonometric Ratios 9 Exponential and Logarithmic Functions 10 Distance and Height 10 Binomial Expansion 11 Algebraic Ratio and Proporti