Kerala SSLC Class 10 Maths Syllabus 2025-26
Board: Kerala Pareeksha Bhavan | Curriculum: SCERT Kerala | Academic Year: 2025-26
The Kerala SSLC Class 10 Mathematics syllabus is designed by the State Council of Educational Research and Training (SCERT) Kerala and the examination is conducted by Kerala Pareeksha Bhavan. The curriculum follows an activity-based, contextual approach that encourages students to discover mathematical concepts through real-life situations. It covers 11 chapters spanning sequences, geometry, probability, algebra, trigonometry, coordinate geometry, mensuration, polynomials, and statistics. The question paper contains 29 questions worth 110 marks in total, and students choose 21 to answer — scoring a maximum of 80 marks in theory.
Marks Distribution
| Chapter | Chapter Name | Marks in Paper* |
|---|---|---|
| 1 | Arithmetic Sequences | 14 |
| 2 | Circles | 18 |
| 3 | Mathematics of Chance | 6 |
| 4 | Second Degree Equations | 7 |
| 5 | Trigonometry | 5 |
| 6 | Coordinates | 7 |
| 7 | Tangents | 12 |
| 8 | Solids | 13 |
| 9 | Geometry and Algebra | 17 |
| 10 | Polynomials | 4 |
| 11 | Statistics | 7 |
| Question Paper Total (29 questions) | 110 | |
| Theory Exam Maximum (21 questions answered) | 80 | |
| Internal Assessment (IT / Activity Fair) | 20 | |
| Grand Total | 100 | |
* Marks shown are out of 110 (total question paper marks). Students answer 21 out of 29 questions = 80 marks. Chapter weightage is based on SCERT Kerala model papers (2026) and may vary year to year.
Chapter-wise Syllabus
Chapter 1: Arithmetic Sequences
14 marks- First term and common difference of an arithmetic sequence
- nth term formula: aₙ = f + (n − 1)d
- Sum of first n terms: Sₙ = n/2 × (2f + (n − 1)d)
- Membership test — checking if a number belongs to a sequence
- Real-life word problems involving arithmetic sequences
Chapter 2: Circles
18 marks- Chords of a circle — equal chords equidistant from the centre
- Perpendicular from the centre bisects a chord
- Angle subtended at the centre is twice the angle at the circumference
- Angle in a semicircle is 90°
- Cyclic quadrilateral — opposite angles sum to 180°
Chapter 3: Mathematics of Chance
6 marks- Sample space and events
- Classical definition of probability: P(E) = favourable outcomes / total outcomes
- Complementary events: P(E) + P(E') = 1
- Mutually exclusive events
- Probability problems with cards, dice, and coloured balls
Chapter 4: Second Degree Equations
7 marks- Standard form of a quadratic equation: ax² + bx + c = 0
- Solving by factorisation method
- Solving using the quadratic formula: x = (−b ± √(b²−4ac)) / 2a
- Discriminant (b² − 4ac) and the nature of roots
- Word problems leading to quadratic equations
Chapter 5: Trigonometry
5 marks- Definitions of sin, cos, and tan in a right triangle
- Standard values for 30°, 45°, 60°, and 90°
- Fundamental identity: sin²θ + cos²θ = 1
- Heights and distances — angle of elevation and depression
- Real-life application problems
Chapter 6: Coordinates
7 marks- Distance formula between two points
- Section formula for internal division
- Centroid of a triangle
- Area of a triangle using coordinates
- Collinearity of three points
Chapter 7: Tangents
12 marks- Tangent to a circle is perpendicular to the radius at the point of contact
- Tangents drawn from an external point are equal in length
- Tangent-chord angle equals the angle in the alternate segment
- Construction of tangents from an external point
- Problems involving tangent lengths and angles
Chapter 8: Solids
13 marks- Surface area and volume of cylinder, cone, and sphere
- Surface area and volume of hemisphere
- Combinations of solids (cone on cylinder, hemisphere on cone, etc.)
- Conversion of one solid into another
- Real-life mensuration word problems
Chapter 9: Geometry and Algebra
17 marks- Relationship between geometric figures and algebraic equations
- Similar triangles and the basic proportionality theorem
- Geometric proofs using algebraic reasoning
- Angle bisector theorem and its converse
- Applications connecting geometric properties with algebraic identities
Chapter 10: Polynomials
4 marks- Definition of polynomials and degree of a polynomial
- Zeros (roots) of a polynomial
- Relationship between zeros and coefficients of a quadratic polynomial
- Division algorithm for polynomials
- Factorisation of polynomials
Chapter 11: Statistics
7 marks- Mean of grouped data — direct method, assumed mean, and step deviation
- Median of grouped data using the formula
- Mode of grouped data using the formula
- Cumulative frequency distribution and the ogive (cumulative frequency curve)
- Reading and interpreting statistical graphs
Exam Pattern
Overall Marks
| Component | Details | Marks |
|---|---|---|
| Board Exam (Theory) | 2 hours 30 minutes, conducted by Kerala Pareeksha Bhavan | 80 |
| Internal Assessment | IT practical / Activity Fair assessed by the school | 20 |
| Grand Total | — | 100 |
Question Paper Blueprint (2026)
| Question Numbers | Choose | Marks Scored |
|---|---|---|
| Q 1 – 4 (2-mark questions) | 3 out of 4 | 6 |
| Q 5 – 10 (3-mark questions) | 4 out of 6 | 12 |
| Q 11 – 21 (4-mark questions) | 8 out of 11 | 32 |
| Q 22 – 29 (5-mark questions) | 6 out of 8 | 30 |
| Total (21 questions answered) | — | 80 |
Source: SCERT Kerala model question papers (2026). Pattern may vary slightly in the final exam. No negative marking. Show all working steps clearly.
Recommended Reference Books
- ★Mathematics (Standard X) — SCERT Kerala (primary textbook; the single most important resource for the exam)
- ★Kerala Pareeksha Bhavan Previous Year Question Papers — essential for understanding the actual question style and difficulty
- ★Samagra (KITE Kerala) — official digital learning platform with chapter-wise resources, videos, and practice questions
- ★Mathematics Activity Book — SCERT Kerala (supports the activity-based learning approach of the curriculum)
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How many chapters are in Kerala SSLC Class 10 Maths?▾
There are 11 chapters in the Kerala SSLC Class 10 Mathematics syllabus: Arithmetic Sequences, Circles, Mathematics of Chance, Second Degree Equations, Trigonometry, Coordinates, Tangents, Solids, Geometry and Algebra, Polynomials, and Statistics.
What is the total marks for Kerala SSLC Maths?▾
The total marks is 100 — 80 marks for the theory board exam and 20 marks for internal assessment (IT practical/activity fair).
Which chapter has the most marks in Kerala SSLC Maths?▾
Circles (Chapter 2) and Geometry and Algebra (Chapter 9) have the highest weightage — Circles appears in 18 marks worth of questions and Geometry and Algebra in 17 marks worth of questions (out of 110 total marks in the question paper, of which students answer 80).
Is there negative marking in Kerala SSLC Maths exam?▾
No, there is no negative marking in the Kerala SSLC Mathematics examination. Students are encouraged to attempt all questions.
How is Kerala SSLC Maths different from CBSE Class 10 Maths?▾
Kerala SSLC Maths has 11 chapters (SCERT Kerala) compared to NCERT's 15 chapters in CBSE. The Kerala syllabus features activity-based, contextual problems aligned with the state curriculum, includes dedicated chapters on Tangents and Geometry & Algebra, and the question paper has 29 questions where students choose 21 to answer (total 80 marks). The board exam is 2 hours 30 minutes.
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