Assam Board Class 10th Maths Syllabus 2025-26: Download PDF Below

Unit / Chapter

Detailed Contents

Marks Weightage (Theory)

1. Real Numbers

Introduction to the real number system, Euclid’s division lemma, properties of prime numbers, concept of irrational numbers, proving irrationality, terminating and non-terminating decimals, revisiting fundamental theorem of arithmetic, and its applications in solving numerical problems.

5

2. Polynomials

Definition of polynomials, degree of a polynomial, graphical representation, relationship between zeros and coefficients of quadratic and cubic polynomials, factorization methods, and application-based problems related to real-life situations.

8

3. Pair of Linear Equations in Two Variables

Various methods of solving equations such as substitution, elimination, cross multiplication, and graphical representation of solutions. Problems related to daily life such as age problems, mixture problems, speed and distance, and financial mathematics. Understanding conditions of consistency and inconsistency of equations.

7

4. Quadratic Equations

Solving quadratic equations using factorization, completing the square method, and the quadratic formula. Understanding the role of discriminant in determining the nature of roots. Application problems related to area, time, work, and motion.

6

5. Arithmetic Progressions (AP)

General term (nth term) of an AP, sum of the first n terms, derivations of formulae, solving problems related to daily life such as growth of savings, salaries, installment payments, and distribution scenarios.

6

6. Triangles

Concepts of similarity, criteria for similarity of triangles, Pythagoras theorem and its converse, theorems on proportionality, and application of similarity in solving geometrical problems related to height and distances.

6

7. Coordinate Geometry

Concepts of coordinate planes, plotting points, distance formula, section formula, midpoint formula, and their applications in dividing line segments, verifying geometrical results, and finding coordinates of centroids.

7

8. Introduction to Trigonometry

Definition of trigonometric ratios using right-angled triangles, evaluation of ratios for specific standard angles (0°, 30°, 45°, 60°, 90°), fundamental trigonometric identities, and simple problems on verifying identities.

7

9. Circles

Tangent to a circle, number of tangents from a point to a circle, properties and theorems based on tangents and chords, practical problems involving circle geometry.

6

10. Constructions

Step-by-step construction of geometrical figures using a compass and ruler. Specific tasks include dividing a line segment into given ratios, constructing tangents to circles, and constructing triangles similar to a given triangle.

4

11. Areas Related to Circles

Finding areas and perimeters of circles, computation of areas of sectors and segments, problems involving combinations of plane figures like semicircles, quadrants, and practical applications like designing shapes and calculating land areas.

6

12. Surface Areas and Volumes

Surface areas and volumes of different 3D solids such as cube, cuboid, cylinder, cone, sphere, and hemisphere. Frustum of a cone and practical application problems related to real-world contexts like containers, buildings, and everyday objects.

6

13. Statistics

Collection and presentation of data in tabular form, bar graphs, histograms, and frequency polygons. Calculation of measures of central tendency: mean (direct, assumed mean, step-deviation methods), median, and mode. Interpretation of real-life data and drawing conclusions.

5

14. Probability

Introduction to the concept of probability, experimental probability and theoretical probability, problems involving coins, dice, cards, and everyday life situations. Focus on simple, non-compound events to develop clear conceptual understanding.

5