NCERT Solutions for Class 10 Mathematics Exemplar (Latest Edition)

Welcome to NCERTSolutions.org, your trusted companion for Class 10 Mathematics Exemplar. 📐✨

The Mathematics Exemplar book is designed to enhance problem-solving skills, logical thinking, and application of concepts. It contains a variety of challenging questions, including higher-order thinking problems, to prepare students for board exams and competitive scenarios.

Our NCERT Solutions explain every problem in simple, step-by-step language, helping you understand concepts, formulas, and strategies. From basic exercises to advanced questions, these solutions make learning easy, effective, and enjoyable.

📘 Class 10 Mathematics Exemplar Chapters

  1. Real Numbers

  2. Polynomials

  3. Pair of Linear Equations in Two Variables

  4. Quadratic Equations

  5. Arithmetic Progressions

  6. Triangles

  7. Coordinate Geometry

  8. Introduction to Trigonometry and its Applications

  9. Circles

  10. Constructions

  11. Areas Related to Circles

  12. Surface Areas and Volumes

  13. Statistics and Probability

💡 Why Our Class 10 Mathematics Exemplar Solutions Work

  • Step-by-step solutions for all exercises, including challenging problems

  • Helps in understanding concepts, formulas, and application methods

  • Covers examples, tricky questions, and higher-order thinking problems (HOTs)

  • Perfect for homework, exams, and board exam preparation

  • Develops analytical thinking, reasoning, and problem-solving confidence

📖 Chapter Summaries & Key Insights

  1. Real Numbers
    Learn Euclid’s division lemma, HCF, LCM, and properties of numbers.
    🧮 Activity: Solve advanced real-number problems and verify properties using examples from daily life.

  2. Polynomials
    Work with zeros, factorization, and identities.
    ✏️ Activity: Create and solve polynomial problems using numbers meaningful to you.

  3. Pair of Linear Equations in Two Variables
    Solve equations using substitution, elimination, and graphical methods.
    📊 Activity: Form word problems and solve them using linear equations.

  4. Quadratic Equations
    Learn solutions using factorization, completing the square, and the quadratic formula.
    🔢 Activity: Apply quadratic equations to practical problems like area and motion.

  5. Arithmetic Progressions
    Explore formulas, sums, and real-life applications.
    📅 Activity: Identify sequences in your environment and calculate sums.

  6. Triangles
    Study congruence, similarity, and properties.
    📐 Activity: Solve higher-order geometry problems and verify results with measurements.

  7. Coordinate Geometry
    Apply distance formula, midpoint formula, and line equations.
    🗺️ Activity: Solve advanced problems involving points and lines on graphs.

  8. Introduction to Trigonometry and its Applications
    Learn ratios, identities, and practical applications in problem-solving.
    📏 Activity: Solve real-world trigonometry problems involving heights and distances.

  9. Circles
    Understand tangents, properties, and theorems.
    ⚪ Activity: Solve challenging problems on circle properties and tangents.

  10. Constructions
    Practice geometrical constructions using ruler and compass.
    🖊️ Activity: Construct triangles, tangents, and bisectors for higher-order problems.

  11. Areas Related to Circles
    Learn area calculations of sectors, segments, and circles.
    🍩 Activity: Apply formulas to solve complex word problems involving areas.

  12. Surface Areas and Volumes
    Work with 3D shapes like spheres, cones, cylinders, and combinations.
    📦 Activity: Solve practical and higher-order volume problems in daily life contexts.

  13. Statistics and Probability
    Understand mean, median, mode, probability concepts, and data interpretation.
    📈 Activity: Collect data, analyze, and solve probability questions from real-life scenarios.

📈 Key Benefits of Our Class 10 Mathematics Exemplar Solutions

  • Simplifies complex and higher-order problems

  • Strengthens problem-solving, logical reasoning, and analytical skills

  • Covers all HOTS and application-based questions

  • Perfect for board exams, competitive exams, and practice

  • Encourages thinking beyond textbook exercises and applying concepts

✍️ Fun Mathematics Activities

  • Maintain a Math Exemplar Journal with solved HOTS questions

  • Draw diagrams and graphs to visualize advanced problems

  • Create challenging word problems for friends and solve them

  • Practice puzzles, crosswords, or math riddles to strengthen thinking skills