WB Madhyamik 2027 Syllabus

From the official West Bengal Board of Secondary Education (WBBSE) documents · last checked 14 October 2026

First Language - Bengali (grammar only)

Case relations: karak and akarak (কারক ও অকারক সম্পর্ক)

  • Part of the First Summative Evaluation (April) syllabus
  • Grammar, together with the other grammar chapters, carries 16 marks in Madhyamik (8 MCQ + 8 very short answers)

Compound words (সমাস)

  • Part of the Second Summative Evaluation (August) syllabus

Sentences (বাক্য)

  • Part of the Third Summative Evaluation / Selection Test syllabus

Voice (বাচ্য)

  • Part of the Third Summative Evaluation / Selection Test syllabus

Second Language - English (grammar and vocabulary only)

Grammar and Vocabulary (ব্যাকরণ ও শব্দভান্ডার)

  • WBBSE says grammar and vocabulary items practised in Classes IX and X are included. It does not list them separately.
  • 20 marks in Madhyamik: 3 MCQs, 9 very short answers and 4 short answers (2 marks each)

Mathematics

Quadratic Equation in One Variable (একচলবিশিষ্ট দ্বিঘাত সমীকরণ)

  • Concept of quadratic equation in one variable, ax² + bx + c = 0 (a ≠ 0)
  • Solution by factorisation (rational roots)
  • Solution by expressing as a perfect square
  • Sridhar Acharya's formula
  • Nature of roots
  • Forming a quadratic equation when the roots are known
  • Real-life problems

Simple Interest (সরল সুদকষা)

  • Principal, interest, rate per cent per annum, amount, time
  • Formula I = prt/100
  • Real-life problems

Theorems related to Circle (বৃত্ত সম্পর্কিত উপপাদ্য)

  • Equal chords cut equal arcs and make equal angles at the centre (no proof)
  • Chords that make equal angles at the centre are equal (no proof)
  • One and only one circle through three non-collinear points (no proof)
  • Line from the centre bisecting a chord is perpendicular to it (proof)
  • Perpendicular from the centre bisects the chord (proof)
  • Applications

Rectangular Parallelopiped or Cuboid (আয়তঘন)

  • Cuboid and cube in real life
  • Number of faces, edges, vertices and diagonals
  • Total surface area
  • Volume
  • Length of a diagonal
  • Real-life problems

Ratio and Proportion (অনুপাত ও সমানুপাত)

  • Ratio and proportion in algebra
  • Different types of ratio and proportion
  • Using properties of proportion in problems

Compound Interest (up to 3 years) and Uniform Rate of Increase or Decrease (চক্রবৃদ্ধি সুদ ও সমহার বৃদ্ধি বা হ্রাস)

  • Difference between simple and compound interest
  • Formula when interest is added yearly, half-yearly and quarterly
  • Uniform rate of increase or decrease from the compound interest formula
  • Real-life problems

Theorems related to Angles in a Circle (বৃত্তস্থ কোণ সম্পর্কিত উপপাদ্য)

  • Angle at the centre and angle in the circle
  • Angle at the centre is twice the angle in the circle on the same arc (proof)
  • Angles in the same segment are equal (proof)
  • Angle in a semicircle is a right angle (proof)
  • Condition for four points to be concyclic (no proof)
  • Applications

Right Circular Cylinder (লম্ব বৃত্তাকার চোঙ)

  • Cylinders in real life
  • Curved and plane surfaces
  • Curved surface area
  • Total surface area
  • Volume
  • Real-life problems

Quadratic Surd (দ্বিঘাত করণী)

  • Irrational numbers
  • Quadratic surds
  • Pure, mixed, like and unlike surds
  • Rationalising factor
  • Rationalising the denominator
  • Addition, subtraction, multiplication and division of surds
  • Real-life problems

Theorems related to Cyclic Quadrilateral (বৃত্তস্থ চতুর্ভুজ সংক্রান্ত উপপাদ্য)

  • Opposite angles of a cyclic quadrilateral are supplementary (proof)
  • If opposite angles are supplementary, the vertices are concyclic (no proof)
  • Applications

Construction: Circumcircle and Incircle of a Triangle (সম্পাদ্য : ত্রিভুজের পরিবৃত্ত ও অন্তর্বৃত্ত অঙ্কন)

  • Drawing the circumcircle of a triangle
  • Drawing the incircle of a triangle

Sphere (গোলক)

  • Sphere and hemisphere in real life
  • Surfaces of sphere and hemisphere
  • Curved surface area of a sphere
  • Curved and total surface area of a hemisphere
  • Volume of sphere and hemisphere

Variation (ভেদ)

  • Direct, inverse and joint (compound) variation
  • Problems and real-life problems on variation

Partnership Business (অংশীদারি কারবার)

  • Partnership business
  • Simple and compound (mixed) partnership
  • Capital (principal)
  • Sharing of profit
  • Using ratio in partnership problems

Theorems related to Tangent to a Circle (বৃত্তের স্পর্শক সংক্রান্ত উপপাদ্য)

  • Tangent and secant of a circle
  • Tangent is perpendicular to the radius at the point of contact (proof)
  • Two tangents from an external point are equal and make equal angles at the centre (proof)
  • Direct and transverse common tangents
  • When two circles touch, the centres and the point of contact are collinear (proof)
  • Applications

Right Circular Cone (লম্ব বৃত্তাকার শঙ্কু)

  • Cones in real life
  • Curved and plane surfaces
  • Curved surface area
  • Total surface area
  • Volume
  • Real-life problems

Construction: Tangent to a Circle (সম্পাদ্য : বৃত্তের স্পর্শক অঙ্কন)

  • Tangent at a point on the circle
  • Two tangents from an external point

Similarity (সদৃশতা)

  • Similar figures
  • Line parallel to one side divides the other two sides in proportion (no proof) and its converse (no proof)
  • Similar triangles have proportional sides (no proof)
  • Triangles with proportional sides have equal angles (no proof)
  • SAS similarity (no proof)
  • Perpendicular from the right angle to the hypotenuse makes similar triangles (proof)
  • Applications

Real-life Problems related to Different Solid Objects (বিভিন্ন ঘনবস্তু সংক্রান্ত বাস্তব সমস্যা)

  • Problems on cuboid, right circular cylinder, sphere, hemisphere and right circular cone

Trigonometry: Concept of Measurement of Angle (ত্রিকোণমিতি : কোণ পরিমাপের ধারণা)

  • Why trigonometry is needed
  • Positive and negative angles
  • Measuring angles
  • Sexagesimal and circular systems and the relation between them

Construction: Determination of Mean Proportional (সম্পাদ্য : মধ্যসমানুপাতী নির্ণয়)

  • Mean proportional of two line segments
  • Square equal in area to a rectangle
  • Square equal in area to a triangle

Pythagoras Theorem (পিথাগোরাসের উপপাদ্য)

  • Pythagoras theorem (proof)
  • Converse of Pythagoras theorem (proof)
  • Applications

Trigonometric Ratios and Trigonometric Identities (ত্রিকোণমিতিক অনুপাত এবং ত্রিকোণমিতিক অভেদাবলি)

  • Trigonometric ratios in a right-angled triangle
  • Relations among the ratios
  • Values for 0°, 30°, 45°, 60° and 90°
  • Using the ratios in problems
  • Eliminating an angle

Trigonometric Ratios of Complementary Angle (পূরক কোণের ত্রিকোণমিতিক অনুপাত)

  • Complementary angles
  • Ratios of the complementary angle and problems

Application of Trigonometric Ratios: Heights and Distances (ত্রিকোণমিতিক অনুপাতের প্রয়োগ : উচ্চতা ও দূরত্ব)

  • Angle of elevation and angle of depression
  • Real-life problems using right-angled triangles

Statistics: Mean, Median, Ogive, Mode (রাশিবিজ্ঞান : গড়, মধ্যমা, ওজাইভ, সংখ্যাগুরুমান)

  • Measures of central tendency
  • Mean by direct, short-cut and step-deviation methods
  • Median and its formula
  • Cumulative frequency curve (ogive)
  • Median from an ogive
  • Mode and its formula
  • Relation among mean, median and mode

Physical Science

Concerns about Our Environment (পরিবেশের জন্য ভাবনা)

  • Common Area
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 short answer (2 marks) = 5 marks

Behaviour of Gases (গ্যাসের আচরণ)

  • Common Area
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 short answer, 1 long answer (3 marks) = 8 marks

Chemical Calculations (রাসায়নিক গণনা)

  • Common Area
  • Madhyamik blueprint: 1 MCQ, 1 long answer (3 marks) = 4 marks

Thermal Phenomena (তাপের ঘটনাসমূহ)

  • Physics
  • Madhyamik blueprint: 1 MCQ, 1 VSA, 1 long answer = 5 marks

Light (আলো)

  • Physics
  • Madhyamik blueprint: 2 MCQ, 2 VSA, 1 short answer, 2 long answers = 12 marks

Current Electricity (চলতড়িৎ)

  • Physics
  • Madhyamik blueprint: 2 MCQ, 2 VSA, 1 short answer, 2 long answers = 12 marks

Atomic Nucleus (পরমাণুর নিউক্লিয়াস)

  • Physics
  • Madhyamik blueprint: 1 MCQ, 1 VSA, 1 long answer = 5 marks

Periodic Table and Periodicity of the Properties of Elements (পর্যায়সারণি এবং মৌলদের ধর্মের পর্যাবৃত্ততা)

  • Chemistry
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 long answer = 6 marks

Ionic and Covalent Bonding (আয়নীয় ও সমযোজী বন্ধন)

  • Chemistry
  • Madhyamik blueprint: 1 MCQ, 1 VSA, 2 short answers = 6 marks

Electricity and Chemical Reactions (তড়িৎপ্রবাহ ও রাসায়নিক বিক্রিয়া)

  • Chemistry
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 long answer = 6 marks

Inorganic Chemistry in the Laboratory and in Industry (পরীক্ষাগার ও রাসায়নিক শিল্পে অজৈব রসায়ন)

  • Chemistry
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 short answer, 1 long answer = 8 marks

Metallurgy (ধাতুবিদ্যা)

  • Chemistry
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 short answer = 5 marks

Organic Chemistry (জৈব রসায়ন)

  • Chemistry
  • Madhyamik blueprint: 1 MCQ, 2 VSA, 1 short answer, 1 long answer = 8 marks

Life Science

Control and Coordination in Living Organisms (জীবজগতে নিয়ন্ত্রণ ও সমন্বয়)

  • Madhyamik blueprint: 3 MCQ, 5 VSA, 3 short answers, 1 long answer (5 marks) = 19 marks

Continuity of Life (জীবনের প্রবহমানতা)

  • Cell division and cell cycle (কোশ বিভাজন এবং কোশচক্র)
  • Reproduction (জনন)
  • Sexual reproduction in flowering plants (সপুষ্পক উদ্ভিদের যৌন জনন)
  • Growth and development (বৃদ্ধি ও বিকাশ)
  • Madhyamik blueprint: 3 MCQ, 5 VSA, 2 short answers, 1 long answer = 17 marks

Heredity and Some Common Genetic Diseases (বংশগতি এবং কয়েকটি সাধারণ জিনগত রোগ)

  • Madhyamik blueprint: 3 MCQ, 3 VSA, 2 short answers, 1 long answer = 15 marks

Evolution and Adaptation (অভিব্যক্তি ও অভিযোজন)

  • Madhyamik blueprint: 3 MCQ, 3 VSA, 2 short answers, 1 long answer = 15 marks

Environment, its Resources and their Conservation (পরিবেশ, তার সম্পদ এবং তাদের সংরক্ষণ)

  • Madhyamik blueprint: 3 MCQ, 5 VSA, 3 short answers, 2 long answers = 24 marks

History

Ideas of History (ইতিহাসের ধারণা)

  • Madhyamik blueprint: 2 MCQ, 2 VSA given, 2 short answers given

Reform: Characteristics and Observations (সংস্কার : বৈশিষ্ট্য ও মূল্যায়ন)

  • Madhyamik blueprint: 3 MCQ, 3 VSA given, 2 short answers given

Resistance and Rebellion: Characteristics and Analyses (প্রতিরোধ ও বিদ্রোহ)

  • Madhyamik blueprint: 2 MCQ, 3 VSA given, 2 short answers given

Early Stages of Collective Action: Characteristics and Analyses (সংঘবদ্ধতার গোড়ার কথা)

  • Madhyamik blueprint: 3 MCQ, 3 VSA given, 2 short answers given

Alternative Ideas and Initiatives (From mid-19th Century to the Early 20th Century): Characteristics and Observations (বিকল্প চিন্তা ও উদ্যোগ (উনিশ শতকের মধ্যভাগ থেকে বিশ শতকের প্রথমভাগ পর্যন্ত): বৈশিষ্ট্য ও পর্যালোচনা)

  • Madhyamik blueprint: 2 MCQ, 2 VSA given, 2 short answers given

Peasant, Working Class and Left Movements in 20th Century India: Characteristics and Observations (বিশ শতকের ভারতে কৃষক, শ্রমিক ও বামপন্থী আন্দোলন: বৈশিষ্ট্য ও পর্যালোচনা)

  • Madhyamik blueprint: 3 MCQ, 3 VSA given, 2 short answers given

Movements Organised by Women, Students and Marginal People in 20th Century India: Characteristics and Analyses (বিশ শতকের ভারতে নারী, ছাত্র ও প্রান্তিক জনগোষ্ঠীর আন্দোলন: বৈশিষ্ট্য ও বিশ্লেষণ)

  • Madhyamik blueprint: 3 MCQ, 3 VSA given, 2 short answers given

Post-Colonial India: Second Half of the 20th Century, 1947-1964 (উত্তর-ঔপনিবেশিক ভারত : বিশ শতকের দ্বিতীয় পর্ব, ১৯৪৭-১৯৬৪)

  • Madhyamik blueprint: 2 MCQ, 1 VSA given, 2 short answers given

Geography

Exogenetic Processes and Resultant Landforms (বহির্জাত প্রক্রিয়া ও তাদের দ্বারা সৃষ্ট ভূমিরূপ)

  • Physical Geography (with Atmosphere and Hydrosphere: 32 marks in Madhyamik)

Atmosphere (বায়ুমণ্ডল)

  • Physical Geography

Hydrosphere (বারিমণ্ডল)

  • Physical Geography

Waste Management (বর্জ্য ব্যবস্থাপনা)

  • Environmental Geography: 8 marks in Madhyamik

India (ভারত)

  • Introduction (ভূমিকা)
  • Physical environment (প্রাকৃতিক পরিবেশ)
  • Economic environment (অর্থনৈতিক পরিবেশ)
  • Regional Geography: 32 marks in Madhyamik

Satellite Imagery and Topographical Map (উপগ্রহ চিত্র ও ভূ-বৈচিত্র্যসূচক মানচিত্র)

  • 8 marks in Madhyamik

Map of India (মানচিত্র - ভারত)

  • Locate and label features on an outline map of India: 10 marks

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