Chapter-wise Introduction – NCERT Exemplar Class 10 Maths Solutions
Chapter 1: Real Numbers
This chapter focuses on Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, and properties of irrational numbers. Exemplar problems test deeper understanding of divisibility and prime factorization.
Chapter 2: Polynomials
Students explore zeros of polynomials, relationships between zeros and coefficients, and quadratic identities. Exemplar questions challenge application in algebraic proofs.
Chapter 3: Pair of Linear Equations in Two Variables
Covers solving linear equations using substitution, elimination, cross-multiplication, and graphical methods. Exemplar questions include tricky real-life applications.
Chapter 4: Quadratic Equations
Focuses on solving quadratic equations by factorization, completing the square, and quadratic formula. Exemplar problems enhance understanding of word problems.
Chapter 5: Arithmetic Progressions (AP)
Explains nth term and sum of n terms of an AP. Exemplar exercises include advanced application problems in daily life.
Chapter 6: Triangles
Covers similarity of triangles, Pythagoras theorem, and properties of ratios. Exemplar questions strengthen reasoning and proof-writing skills.
Chapter 7: Coordinate Geometry
Introduces distance formula, section formula, and area of triangle. Exemplar questions test accuracy in solving application-based problems.
Chapter 8: Introduction to Trigonometry
Focuses on trigonometric ratios, identities, and standard values. Exemplar problems include proofs and complex trigonometric calculations.
Chapter 9: Applications of Trigonometry
Applies trigonometry in real-life situations like heights and distances. Exemplar ensures strong visualization and problem-solving skills.
Chapter 10: Circles
Covers tangent properties and theorems related to circles. Exemplar questions improve logical reasoning and geometry skills.
Chapter 11: Constructions
Deals with dividing a line, constructing tangents to circles, and geometric designs. Exemplar includes application-based construction problems.
Chapter 12: Areas Related to Circles
Explores arc length, sector, segment, and area of combinations of circles with polygons. Exemplar strengthens problem-solving for board exams.
Chapter 13: Surface Areas and Volumes
Covers 3D geometry including sphere, cone, cylinder, and frustum. Exemplar problems enhance spatial reasoning with practical applications.
Chapter 14: Statistics
Focuses on mean, median, mode, and graphical representation of data. Exemplar adds challenging interpretation-based questions.
Chapter 15: Probability
Introduces theoretical probability and real-life examples. Exemplar ensures conceptual clarity and prepares students for higher-level probability.
Frequently Asked Questions
NCERT Exemplar Class 10 Maths Solutions are extremely valuable for board exam preparation. Unlike the standard NCERT textbook, Exemplar books provide higher-order thinking questions, conceptual problems, and application-based case studies. Many CBSE board exam questions are either directly picked from or inspired by NCERT Exemplar problems. Practicing these solutions helps students master tough topics like Trigonometry, Quadratic Equations, and Probability with ease. They also prepare students for competitive exams like NTSE, Olympiads, and JEE Foundation. Thus, Exemplar solutions ensure not only a strong board exam score but also long-term conceptual clarity.
The NCERT textbook provides fundamental exercises to strengthen basic knowledge, while NCERT Exemplar solutions go a step further by offering challenging, higher-level questions. Exemplar problems include HOTS (Higher Order Thinking Skills), application-based problems, proofs, and tricky numerical questions. These are designed to make students think logically and creatively. While the textbook ensures basic preparation, Exemplar solutions make students exam-ready for difficult questions. Therefore, a combination of textbook and Exemplar is the best strategy for scoring high in board exams.
Yes, absolutely. NCERT Exemplar Class 10 Maths Solutions serve as a foundation for competitive exams. Many concepts in Exemplar, like Trigonometric Identities, Probability, and Polynomials, directly link to JEE (Mains/Advanced) and NTSE exam patterns. These solutions train students to solve higher-difficulty questions systematically. By practicing Exemplar questions, students enhance their analytical skills, time management, and problem-solving techniques – all crucial for competitive exams. Thus, Exemplar not only boosts Class 10 board exam preparation but also acts as an early step toward advanced entrance exam readiness.
Students can access NCERT Exemplar Class 10 Maths Solutions through trusted educational websites, official NCERT portals, and learning platforms. Infinity Learn, Vedantu, and Byju’s provide detailed, step-by-step solutions to all Exemplar questions for free. These solutions are also available in PDF format for offline use. However, students must ensure they refer to accurate and well-explained solutions rather than shortcuts. The right resource will help them practice systematically, understand concepts deeply, and improve exam performance.
The best way to prepare with NCERT Exemplar Class 10 Maths Solutions is to follow a step-by-step strategy. First, finish all NCERT textbook exercises to build strong fundamentals. Then, practice Exemplar questions chapter-wise, focusing on tricky and application-based problems. Regularly revise important formulas, theorems, and methods. Solve Exemplar sample papers and previous years’ CBSE questions to test your preparation level. Additionally, timed practice sessions will improve speed and accuracy. By balancing textbook basics with Exemplar’s advanced problems, students can confidently score above 90+ in Class 10 Maths.