Maths Standard is not only about remembering methods. It builds the reasoning, application and problem-solving habits students need for board questions and future study.
Use logical reasoning and clear mathematical communication while solving questions.
Apply algebra, geometry, trigonometry, mensuration, statistics and probability to unfamiliar situations.
Connect mathematical ideas with everyday decisions, science and technology.
Build confidence to analyse a problem, choose a method and check whether an answer is reasonable.
Unit I
Number Systems
6 marks
Real Numbers
Unit II
Algebra
20 marks
Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progressions
Unit III
Coordinate Geometry
6 marks
Coordinate Geometry
Unit IV
Geometry
15 marks
Triangles, Circles
Unit V
Trigonometry
12 marks
Introduction to Trigonometry, Identities, Heights and Distances
Unit VI
Mensuration
10 marks
Areas Related to Circles, Surface Areas and Volumes
Unit VII
Statistics and Probability
11 marks
Statistics, Probability
Question paper design
How Standard and Basic papers are weighted.
Both papers are three hours and carry 80 theory marks. The syllabus stays aligned; the balance of question demand is different.
Maths Standard (041)
80 theory marks
Balanced across recall, application and higher-order thinking.
Remember and understand
Recall concepts, explain ideas and use basic methods accurately.
43 marks~54%
Apply
Use concepts, techniques and rules in new question situations.
19 marks~24%
Analyse, evaluate and create
Break down information, justify decisions and develop a solution path.
18 marks~22%
Maths Basic (241)
80 theory marks
Greater emphasis on clear concepts and everyday application.
Remember and understand
Recall concepts, explain ideas and use basic methods accurately.
60 marks~75%
Apply
Use concepts, techniques and rules in new question situations.
12 marks~15%
Analyse, evaluate and create
Break down information, justify decisions and develop a solution path.
8 marks~10%
Internal assessment
20 marks across the academic year.
Standard and Basic
Pen-paper test and multiple assessment
10 marks
Two 5-mark components during the academic year.
Portfolio
5 marks
A record of selected work maintained through the year.
Lab practical
5 marks
Activities based on the prescribed books and lab work.
Chapter-wise official topic scope
Real Numbers
Fundamental Theorem of ArithmeticProofs of irrationality of 2, 3, 5
You should be able to: Use prime factorisation in context and prove the irrationality of selected numbers algebraically.
Polynomials
Zeros of a polynomialRelationship between zeros and coefficients of quadratic polynomials
You should be able to: Find zeroes graphically and algebraically, then verify their relationship with coefficients.
Pair of Linear Equations in Two Variables
Graphical methodConsistency and inconsistencySubstitution and elimination methodSituational problems
You should be able to: Interpret consistency, solve in more than one way, and model simple two-variable situations.
Quadratic Equations
Standard form ax2+bx+c=0, a=0Factorisation and quadratic formulaDiscriminant and nature of roots
You should be able to: Choose factorisation or the quadratic formula, use the discriminant, and solve real-life problems.
Arithmetic Progressions
Motivation for APnth termSum of first n termsDaily-life applications
You should be able to: Find the nth term and sum of an AP, including applications in everyday situations.
Coordinate Geometry
Distance formulaSection formula for internal division
You should be able to: Use distance and section formulae to solve coordinate-plane problems.
Triangles
Similar trianglesBasic Proportionality TheoremConverse of Basic Proportionality Theorem
You should be able to: Use similarity and the Basic Proportionality Theorem to prove and solve geometric relationships.
Circles
Tangent to a circleRadius perpendicular to tangentTangents from an external point
You should be able to: Prove tangent theorems and apply equal tangents and radius properties in problems.
Introduction to Trigonometry
Trigonometric ratiosValues of 30∘, 45∘, 60∘Relationships between ratios
You should be able to: Evaluate trigonometric ratios, standard-angle values and relationships between ratios.
Trigonometric Identities
sin2A+cos2A=1Simple identity applications
You should be able to: Prove and apply simple identities using the basic trigonometric relationship.
Heights and Distances
Angle of elevation and depressionProblems with not more than two right triangles
You should be able to: Solve practical word problems involving elevation and depression using standard angles.
Areas Related to Circles
Area of sectors and segmentsPerimeter and circumference based problems
You should be able to: Calculate sector and segment measures in familiar and application-based problems.
Surface Areas and Volumes
Combinations of two solidsCubes, cuboids, spheres, hemispheres, cylinders and cones
You should be able to: Visualise and calculate surface area or volume for combinations of two solids.
Statistics
Mean: direct, assumed mean and step-deviation methodsMedian and mode of grouped data
You should be able to: Calculate mean, median and mode of grouped data using the required methods.
Probability
Classical definition of probabilitySimple probability problems
You should be able to: Use the classical definition to find probabilities in simple real-life situations.
Prescribed learning resources
Study with the NCERT Mathematics textbook for Class X, CBSE Mathematics Laboratory Guidelines, the NCERT Mathematics Laboratory Manual, and NCERT Exemplar Problems for Class X.
Source: CBSE Mathematics Subject Code 041 and 241, Class X Curriculum 2026-27
