Class 9-10 Higher Mathematics Book

বাংলায় পড়তে চাও? দেখো: নবম-দশম শ্রেণির উচ্চতর গণিত বই

Higher mathematics is optional, so many treat it as extra weight. In fact it lays the foundation for class 11 physics and mathematics, and students who take it seriously struggle far less on entering college.

How it differs from general mathematics

General mathematics emphasises computation and application; higher mathematics emphasises concept and abstraction. Sets and functions, polynomials, coordinate geometry, equations, trigonometry and probability appear here, and return in class 11 under almost the same names — deeper.

Mathematics: learn it with interactive animations

An idea that is hard to picture from a still textbook diagram becomes obvious when you change the values yourself and watch it happen. Each simulation below comes with a full plain-language explanation, the formulas, solved examples, common mistakes and exam tips, so understanding and revision happen together.

• Pythagorean Theorem (Grade 8–10 · animation)
• Trigonometric Ratios and the Unit Circle (Grade 10–11 · animation)
• Quadratic functions and their graphs (Grade 9–11 · animation)
• Circle theorems (Grade 9–10 · animation)
• Heights and distances: elevation and depression angles (Grade 9–10 · animation)
• Probability: experimental vs theoretical probability (Grade 9–11 · animation)
• Arithmetic and Geometric Sequences (Grade 10–11 · animation)
• Mean, Median and Mode (Grade 9–10 · animation)
• Sets and Venn Diagrams (Grade 7–11 · animation)
• Linear equations: graphs, slope and simultaneous pairs (Grade 8–10 · animation)
• Graphs of sin, cos and tan (Grade 10–12 · animation)
• Completing the Square and the Quadratic Formula (Grade 9–10 · animation)
• Area of a Circle: Proof, Formula and Solved Problems (Grade 7–10 · animation)
• Volume and Surface Area of Solids: Cube, Cuboid, Cylinder, Cone, Sphere (Grade 8–10 · animation)
• Similar Triangles: Scale Factor, AA, SSS, SAS and Shadow Heights (Grade 8–10 · animation)
• Coordinate Geometry: Distance, Midpoint, Slope, Section Formula and Locus (Grade 9–11 · animation)
• Conic Sections: Circle, Ellipse, Parabola and Hyperbola (Grade 11–12 · animation)
• Function Transformations: Shifts, Stretches and Reflections (Grade 9–11 · animation)
• Derivative as the Slope of a Tangent: Secant to Tangent (Grade 11–12 · animation)
• Riemann Sums and Integration: Area Under a Curve (Grade 11–12 · animation)
• Limits and the ε–δ Definition: A Visual Guide (Grade 11–12 · animation)
• 3D Vectors: Sum, Dot Product and Cross Product (Grade 11–12 · animation)
• Matrix Transformations: Rotation, Reflection, Shear and the Determinant (Grade 11–12 · animation)
• Complex Numbers: Sum, Product, Powers and Roots on the Argand Plane (Grade 11–12 · animation)
• Binary Number System: Place Value, Conversion and Addition (Grade 9–12 · animation)

Download the book

The textbook for the science group’s optional subject.

• উচ্চতর গণিত — Bangla version
• উচ্চতর গণিত — English version

The Bangla version and the English Version are different books — download the one matching your medium.

Why neglecting it is expensive

• Class 11 mathematics and physics stand on these concepts.
• Engineering and science admission tests revisit these chapters.
• The optional subject’s marks count by a separate rule in the result.
• A weak base here is much harder to repair once you are in college.

How to approach the chapters

This book carries more definitions and theorems, so writing the concept in your own words first pays off — a concept you cannot write is one you have not understood. Then work the examples, then the exercises. In coordinate geometry and functions, drawing is close to essential, because those two are the most abstract.

Read next

• Mathematics book
• Physics book
• Mathematics animations and simulations
• All science and math animations