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 13 chapters spanning sequences, circle geometry, probability, algebra, trigonometry, coordinate geometry, tangents, mensuration, 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 | 8 |
| 2 | Circles and Angles | 11 |
| 3 | Arithmetic Sequences and Algebra | 6 |
| 4 | Mathematics of Chance | 6 |
| 5 | Second Degree Equations | 7 |
| 6 | Trigonometry | 5 |
| 7 | Coordinates | 7 |
| 8 | Tangents | 12 |
| 9 | Polynomials and Equations | 4 |
| 10 | Circles And Lines | 7 |
| 11 | Geometry and Algebra | 17 |
| 12 | Solids | 13 |
| 13 | 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 approximate — split from third-party 11-chapter estimates (SCERT Kerala model papers, 2026) to match the real 13-chapter structure, and may vary year to year pending official verification.
Chapter-wise Syllabus
Chapter 1: Arithmetic Sequences
8 marks- Common difference test and algebraic proof of constant difference
- Proportion rule between terms of an arithmetic sequence
- Middle-term sum rule and the sum of an odd number of terms
- Position-pair sum rule
- Membership test — checking if a number belongs to a sequence via divisibility
Chapter 2: Circles and Angles
11 marks- Central angle of a chord is twice the inscribed angle on the same arc
- Angles in the same segment of a circle are equal
- Angle in a semicircle is 90°
- Cyclic quadrilateral — opposite angles sum to 180°, and its converse
- Non-cyclic test — proving a quadrilateral is NOT cyclic
Chapter 3: Arithmetic Sequences and Algebra
6 marks- Algebraic form of a sequence: xₙ = an + b
- Sum of an arithmetic sequence: Sₙ = (1/2)an(n+1) + bn
- The sum's algebraic form is always a quadratic in n, with no constant term
- Finding the original sequence from its sum formula
Chapter 4: Mathematics of Chance
6 marks- Basic probability — comparing fractions across groups, not raw counts
- Counting outcomes via prime factorization
- Geometrical probability — favourable area over total area
- Paired/combined events and counting matching outcomes
- 'At least one' via complementary counting
Chapter 5: Second Degree Equations
7 marks- Square identity: x² + 2ax + a² = (x+a)²
- Completing the square to solve an equation
- Every completed square gives two solutions — checking which one fits the real problem
Chapter 6: Trigonometry
5 marks- Deriving the 45°-45°-90° and 30°-60°-90° side ratios
- sin, cos, and tan defined in a right triangle
- Area of a triangle = (1/2) × a × b × sin C
- Radian measure of an angle
- Chord length formula and the ratio of a triangle's sides to the sines of its angles
- Heights and distances — angle of elevation and depression
Chapter 7: Coordinates
7 marks- Finding a rectangle's missing vertices from two opposite corners
- Distance formula, derived from a rectangle's diagonal
- Distance from a point to the origin
- Collinearity test using distances
- The fourth-vertex trick for a point inside a rectangle
Chapter 8: 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 (alternate segment) angle theorem
- Tangent quadrilateral — sums of opposite sides are equal (Pitot theorem)
- Incircle and incentre of a triangle
Chapter 9: Polynomials and Equations
4 marks- Multiplication identity: (x+a)(x+b) = x² + (a+b)x + ab
- Factoring a quadratic by finding two numbers with a known sum and product
- Sum-difference trick for factor pairs that aren't easy to guess
- Deriving the general quadratic formula from this chapter's factoring method
Chapter 10: Circles And Lines
7 marks- Intersecting chords theorem
- Power of a point — inside and outside a circle
- Tangent-secant relation, recovering the equal-tangent-lengths result
Chapter 11: Geometry and Algebra
17 marks- Finding a parallelogram's fourth vertex from three known vertices
- Midpoint formula and the section formula (dividing a segment in a ratio)
- Slope of a line and the equation of a line
- Perpendicular lines — product of slopes equals −1
- Equation of a circle, derived from the distance formula
Chapter 12: Solids
13 marks- Square pyramid — slant height, surface area, and volume
- A cone made by rolling up a sector of a circle
- Curved surface area and volume of a cone
- Surface area and volume of a sphere, compared to its enclosing cylinder
Chapter 13: Statistics
7 marks- Why the mean can be misled by outliers
- Median for an odd or even count of raw data
- Median from a frequency table using cumulative frequency
- Median of grouped/class-interval data via the arithmetic-sequence method
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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Book Free Demo Class →Frequently Asked Questions
How many chapters are in Kerala SSLC Class 10 Maths?▾
There are 13 chapters in the Kerala SSLC Class 10 Mathematics syllabus: Arithmetic Sequences, Circles and Angles, Arithmetic Sequences and Algebra, Mathematics of Chance, Second Degree Equations, Trigonometry, Coordinates, Tangents, Polynomials and Equations, Circles And Lines, Geometry and Algebra, Solids, 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?▾
Geometry and Algebra (Chapter 11) has the highest weightage at approximately 17 marks, followed by Solids (Chapter 12) at around 13 marks and Tangents (Chapter 8) at around 12 marks — 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 13 chapters (SCERT Kerala) compared to NCERT's 15 chapters in CBSE, and often teaches the same topic through a different method — for example, quadratics are solved by completing the square in one chapter and only later, in Polynomials and Equations, is the general quadratic formula derived. The Kerala syllabus features activity-based, contextual problems, includes dedicated chapters on Tangents, Circles And Lines, and Geometry and 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.