Q1. A tumbler is a cylinder closed at one end and open at the other, with radius 7 cm and height 10 cm. Taking π = (22)/(7), the area of the surface that makes it (curved part plus the one closed end) is
- 440 cm²
- 748 cm²
- 594 cm²
- 1188 cm²
NCERT · Class 9
NCERT Class 9 Mathematics: Chapter List and Official PDFs
All 14 chapters of the NCERT Class 9 Mathematics textbook(s), with the section headings of each chapter and a link to the official PDF on ncert.nic.in. Open a chapter to see what it covers.
14 chapters2 books
Ganita Manjari (Grade 9, Part I)
Chapter 1: Orienting Yourself: The Use of CoordinatesIII. Coordinate Geometry
- 1.1 Introduction
- 1.2 Settling In
- 1.3 The 2-d Cartesian Coordinate System
- 1.4 Distance Between Two Points in the 2-D Plane
- End-of-Chapter Exercises
- Chapter Summary
Chapter 2: Introduction to Linear PolynomialsII. Algebra
- 2.1 Introduction
- 2.2 Linear Polynomials
- 2.3 Exploring linear patterns
- 2.4. Linear growth and linear decay
- 2.5 Linear Relationships
- 2.6 Visualising linear relationships
- End-of-Chapter Exercises
- Chapter summary
Chapter 3: The World of NumbersI. Number System
- 3.1 The Dawn of Mathematics: The Human Need to Count
- 3.2 The Revolution of Shunya: When Nothing Became Something
- 3.3 Integers: Expanding the Horizon
- 3.4 Filling the Spaces: Fractions and Rational Numbers
- 3.5 Irrational Numbers
- 3.6 Real Numbers: Decimals and Cyclic Patterns
- 3.7 Conclusion: The Never-Ending Journey
- End-of-Chapter Exercises
- Chapter Summary
Chapter 4: Exploring Algebraic IdentitiesII. Algebra
- 4.1 Introduction
- 4.2 Visualising Identities
- 4.3 Factorisation of Algebraic Expressions Using Identities
- 4.4. More Identities
- 4.5 Factorisation Using Algebra Tiles
- 4.6 Factorisation Without Using Algebra Tiles
- 4.7 Finding New Identities
- 4.8 Simplifying Rational Expressions
- End-of-Chapter Exercises
- Chapter summary
Chapter 5: I'm Up and Down, and Round and RoundIV. Geometry
- Introduction (Activity: objects from nature that resemble a circle)
- 5.1 Definitions
- 5.2 Symmetries of a Circle
- 5.3 How Many Circles?
- 5.4 Chords and the Angles They Subtend
- 5.5 Midpoints and Perpendicular Bisectors of Chords
- 5.6 Distance of Chords from the Centre
- 5.7 Angles Subtended by an Arc
- 5.8 Concyclicity of Points
- End-of-Chapter Exercises
- Chapter Summary
Chapter 6: Measuring Space: Perimeter and AreaV. Mensuration
- 6.1 Perimeter of a Shape
- 6.2 Perimeter of a Circle - The C/D Ratio
- 6.3 Pi Is Irrational
- 6.4 Length of an Arc of a Circle
- 6.5 Problems, Puzzles, and Paradoxes on Perimeter
- 6.6 Area of a Rectangle
- 6.7 Area of a Parallelogram
- 6.8 Area of a Triangle
- 6.9 Squaring a Rectangle
- 6.10 Area of a Circle
- End-of-Chapter Exercises
- Chapter Summary
Chapter 7: The Mathematics of Maybe: Introduction to ProbabilityVI. Statistics and Probability
- 7.1 What is Probability?
- 7.2 Measuring Probability Objectively
- 7.3 Elements of Probability: Sample Spaces and Events
- 7.4 Tree diagrams
- End-of-Chapter Exercises
- Chapter Summary
Chapter 8: Predicting What Comes Next: Exploring Sequences and ProgressionsII. Algebra
- 8.1 Introduction to Sequences
- 8.2 Explicit Rule for a Sequence
- 8.3 Recursive Rule for a Sequence
- 8.4 Arithmetic Progressions
- 8.5 Sum of the First n Natural Numbers
- 8.6 Geometric Progressions
- End-of-Chapter Exercises
- Chapter Summary
Ganita Manjari (Grade 9, Part II)
Chapter 9: Propositions and their ConversesIV. Geometry
- Propositions and their converses (opening: isosceles triangle statements)
- Counterexamples
- Converse of the Baudhayana-Pythagoras theorem
- A Note (other ways of writing "if X then Y")
- Exercise Set 9.1
- Chapter Summary
Chapter 10: How Quantities Combine: Understanding DataVI. Statistics and Probability
- 10.1 Combining Things
- 10.2 Visualising and Interpreting Data
- End-of-Chapter Exercises
- Chapter Summary
Chapter 11: The World of Algorithms
- 11.1 Adding Numbers
- 11.2 Greatest Common Divisor
- 11.3 Data Structures
- End-of-Chapter Exercises
- Chapter Summary
Chapter 12: QuadrilateralsIV. Geometry
- Think and Reflect (opening)
- 12.1 What Exactly is a Quadrilateral?
- 12.2 Parallelograms
- 12.3 Applications of Parallelograms
- 12.4 Tiling the Plane Using Any 4-gon
- End-of-Chapter Exercises
- Chapter Summary
Chapter 13: Two Variables, One LineII. Algebra
- 13.1 Linear Equations in Two Variables
- 13.2 Solution of Linear Equation in Two Variables
- 13.3 Slope-intercept form of a Linear Equation in Two Variables
- 13.4. Pair of Linear Equations in Two Variables
- 13.5 Finding Solutions to a Pair of Linear Equations
- 13.6 Graphical Method for Solving A Pair of Linear Equations in Two Variables
- End-of-Chapter Exercises
- Chapter Summary
Chapter 14: Math of Space: Surface Area and VolumeV. Mensuration
- 14.1 Cuboids and Cubes
- 14.2 Right Circular Cylinder
- 14.3 Cones
- 14.4 Pyramidal Shapes
- 14.5 Spheres and Hemispheres
- 14.6 Areas and Volumes Around Us
- End-of-Chapter Exercises
- Chapter Summary
- Learning Material: graph paper and nets of cuboid, cube, cylinder, cone, triangular pyramid, square pyramid
Free sample questions
Three sample questions with answers. Full explanations — and the rest of the question bank — are free to read after you sign up.
Q2. Assertion (A): In △ ABC, if P and Q are the midpoints of AB and AC, then PQ = (1)/(2)BC. Reason (R): In △ ABC, if P and Q are the midpoints of AB and AC, then PQ ∥ BC.
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true but R is not the correct explanation of A.
- A is true but R is false.
- A is false but R is true.
Show answer
Correct answer: B. Both A and R are true but R is not the correct explanation of A.
🔒 The full explanation is free to read after you sign up →
Q3. The total cost (in rupees) of fencing and sowing a rectangular garden of length l m and width w m is 200l+160w+50lw. For a garden of 10 m by 5 m, the cost is
- 2800
- 3300
- 5300
- 5800
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Chapter lists follow the NCERT textbooks as available to us; textbooks are revised from time to time, so confirm on ncert.nic.in.
Related pages
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