NCERT Exemplar Solutions - Class 10Mathematics
All Units & Exercises
Fundamentals & properties.
Zeroes, relations with coefficients, division algorithm.
Exercise 2.1
Choose the correct answer (MCQs).
Exercise 2.2
Short answer questions with reasoning.
Exercise 2.3
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
Exercise 2.4
Construct polynomials and find zeroes.
Graphical and algebraic solutions of pairs of linear equations.
Exercise 3.1
Choose the correct answer from the given four options:
Exercise 3.2
Consistency, coincident/parallel lines, and special statements.
Exercise 3.3
Parameter conditions for no/unique/infinite solutions; solving linear pairs; applications.
Exercise 3.4
Graphical solutions, intercept/area reasoning, and algebraic applications of linear pairs.
Graphical and algebraic solutions of pairs of linear equations.
Exercise 4.1
Choose the correct answer from the given four options in the following questions:
Exercise 4.2
Reasoning and justification questions on quadratic equations: discriminant test, true/false, irrational roots, and conceptual proofs.
Exercise 4.3
Finding roots by the quadratic formula and by factorisation (with clear beginner steps).
Exercise 4.4
Nature of roots (using discriminant) and word problems modeled with quadratics.
NCERT Exemplar Class 10 Mathematics Unit 5(Arithematic Progressions) complete answers and solutions.
Exercise 5.1
MCQs on Arithmetic Progressions (AP): nth term, common difference, sums, and simple applications.
Exercise 5.2
Identify/justify arithmetic progressions (AP), use nth-term and difference properties, and reason about simple situations.
Exercise 5.3
Arithmetic Progressions: matching, verification, nth-term, sums, and word problems (fully solved).
Exercise 5.4
AP sums, term relations, and real-life applications (with MathJax).
NCERT Exemplar Class 10 Mathematics Unit 6 (Triangles) complete answers and solutions.
Exercise 6.1
MCQs on similarity, right-triangle properties, and area/ratio results.
Exercise 6.2
Conceptual questions on similarity of triangles (reasons required throughout).
Exercise 6.3
Proof and application problems on similarity.
Exercise 6.4
Similar triangles: applications, ladders & shadows, mid-point theorems (MathJax enabled). Figures referenced using <img> placeholders—add src later.
NCERT Exemplar Class 10 Mathematics Unit 7 (Coordinate Geometry) complete answers and solutions.
Exercise 7.1
Coordinate Geometry MCQs: distance formula, section formula, rectangles/triangles, perpendicular bisectors.
Exercise 7.2
True/False with justification in coordinate geometry.
Exercise 7.3
Coordinate geometry short problems with worked answers. MathJax used for formulas.
Exercise 7.4
Coordinate geometry applications: special triangles, parallelogram properties, section formula, centroid, loci, and distance computations.
NCERT Exemplar Class 10 Mathematics Unit 8 (Introduction to Trignometry & its Equation) complete answers and solutions.
Exercise 8.1
MCQs on basic trigonometric ratios and identities, with brief justifications (MathJax enabled).
Exercise 8.2
True/False with justifications (Trigonometry basics).
Exercise 8.3
Prove identities, compute angles of elevation, and simplify expressions (Trigonometry).
Exercise 8.4
Prove identities and solve height–distance problems (Trigonometry).
NCERT Exemplar Class 10 Mathematics Unit 9 (Circles) complete answers and solutions.
Exercise 9.1
MCQs on tangents to a circle, central angles, and angle properties.
Exercise 9.2
True/False statements on tangents and geometry of circles.
Exercise 9.2
True/False statements on tangents and geometry of circles.
Exercise 9.4
Problems based on properties of tangents, chords, cyclic quadrilaterals and circle geometry.
NCERT Exemplar Class 10 Mathematics Unit 10 (Construction) complete answers and solutions.
Exercise 10.1
MCQs on tangents to a circle, central angles, and angle properties.
Exercise 10.2
Write True or False and give reasons for your answer in each of the following:
Exercise 10.3
Constructions: Use ruler–compass methods. When a scale factor is given, construct a triangle similar to the given one using the ‘ray with equal parts and parallels’ technique.
Exercise 10.4
Geometrical construction problems. For each, the final numerical result (if any) is stated in the answer, and the explanation gives complete, step-by-step construction and justification.
NCERT Exemplar Class 10 Mathematics Unit 11 (Area Related To Circles) complete answers and solutions.
Exercise 11.1
Choose the correct answer from the given four options:
Exercise 11.2
Write True or False and give reasons for your answer in each of the following:
Exercise 11.3
Solve the following problems on areas related to circles. Give final answers and show the steps clearly.
Exercise 11.4
Solve the following problems on areas and perimeters involving circles, sectors, segments, and composite figures.
NCERT Exemplar Class 10 Mathematics Unit 12 (Surface Areas & Volumes) complete answers and solutions.
Exercise 12.1
Choose the correct answer from the given four options:
Exercise 12.2
Write ‘True’ or ‘False’ and justify your answer in the following:
Exercise 12.3
Solve the following. Give your answer with a brief justification/calculation.
Exercise 12.4
Solve each. Use π as needed and show brief working.
NCERT Exemplar Class 10 Mathematics Unit 13 (Statistics and Probability) complete answers and solutions.
Disclaimer:The questions are taken from NCERT Exemplar, which is the copyright of NCERT. The solutions provided here are prepared independently for educational purposes only. This material is not an official NCERT publication.