NCERT Solutions for Class 9 Mathematics Exemplar (Latest Edition)

Welcome to NCERTSolutions.org, your one-stop destination for Class 9 Mathematics Exemplar Solutions.

The NCERT Exemplar book is designed to take your mathematical understanding a step further — beyond the basics of the textbook. It helps you think critically, apply logic, and tackle higher-level questions that often appear in exams and competitive tests.

Our NCERT Solutions for Class 9 Maths Exemplar are explained in a clear, simple manner so you can confidently solve tricky problems. Whether it’s algebra, geometry, or statistics, we make sure every concept feels easy and achievable. ✨📘

🧮 Class 9 Mathematics Exemplar Chapters

  1. Number Systems

  2. Polynomials

  3. Coordinate Geometry

  4. Linear Equations in Two Variables

  5. Introduction to Euclid’s Geometry

  6. Lines and Angles

  7. Triangles

  8. Quadrilaterals

  9. Areas of Parallelograms and Triangles

  10. Circles

  11. Constructions

  12. Heron’s Formula

  13. Surface Areas and Volumes

  14. Statistics and Probability

💡 Why Our Class 9 Maths Exemplar Solutions Work

  • Step-by-step, accurate solutions for every Exemplar problem

  • Clear explanations with logic and reasoning

  • Strengthens higher-order thinking and problem-solving skills

  • Great for Olympiad, NTSE, and exam preparation

  • Simple, student-friendly language to make tough questions easy

📚 Chapter Summaries & Key Insights

1. Number Systems

Explore rational and irrational numbers, their decimal forms, and real-life applications.
🔢 Activity: Represent √7 on a number line and discuss its position with friends.

2. Polynomials

Understand identities, factorization, and relations between zeros and coefficients.
✏️ Challenge: Try creating a cubic polynomial and find its zeros.

3. Coordinate Geometry

Learn how to locate points, find distances, and calculate midpoints and areas on a graph.
📍 Activity: Plot the vertices of a rectangle and verify its sides using the distance formula.

4. Linear Equations in Two Variables

Deepen your understanding of linear relations and their graphical representations.
🧾 Activity: Form two equations and find their point of intersection using graphs.

5. Introduction to Euclid’s Geometry

Revisit Euclid’s postulates and their connection to modern geometry.
📏 Activity: Identify shapes around you that fit Euclid’s definitions of lines or planes.

6. Lines and Angles

Study properties of angles made by intersecting and parallel lines.
📐 Activity: Draw two parallel lines and a transversal—measure alternate and corresponding angles.

7. Triangles

Master congruence, inequalities, and properties of triangles through logical reasoning.
🔺 Activity: Use paper cut-outs to test triangle congruence rules.

8. Quadrilaterals

Understand types of quadrilaterals and important theorems related to their diagonals.
🟩 Activity: Draw a parallelogram and verify that its opposite sides are equal and parallel.

9. Areas of Parallelograms and Triangles

Learn the relationships between base, height, and area for 2D figures.
📊 Activity: Compare the area of two triangles with the same base and parallel lines.

10. Circles

Discover theorems on chords, tangents, and angles in a circle.
⚪ Activity: Use a compass to draw tangents from a point outside a circle.

11. Constructions

Practice accurate geometric constructions using compass and ruler.
✂️ Activity: Construct the bisector of a given angle — test it with a protractor!

12. Heron’s Formula

Calculate areas of triangles with just side lengths — no need for perpendicular heights.
📏 Activity: Apply Heron’s formula to a triangle with sides 5 cm, 12 cm, and 13 cm.

13. Surface Areas and Volumes

Understand and apply formulas for 3D objects — cubes, cuboids, cylinders, cones, and spheres.
📦 Activity: Find the surface area of your pencil box or the volume of a bottle.

14. Statistics and Probability

Collect, organize, and analyze data; calculate averages and chances.
🎲 Activity: Roll a die 30 times — note how many times each number appears, and find the probability.

📈 Key Benefits of Our Class 9 Maths Exemplar Solutions

  • Perfect for strengthening conceptual clarity

  • Designed for advanced problem practice and exam preparation

  • Easy-to-follow steps with logical explanations

  • Includes variety of Exemplar-level questions

  • Enhances analytical and application-based learning

🎯 Fun Maths Practice Ideas

  • Challenge a friend with one Exemplar question daily

  • Use graph paper to visualize equations and shapes

  • Create your own geometry puzzles or logic riddles

  • Keep a “Formula Flashcard Set” to revise quickly before exams