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UP Board Class 10 Mathematics syllabus 2026-27
The UP Board Class 10 Mathematics syllabus for 2026-27 has 7 units and 15 chapters. The units are Number systems, Algebra, Coordinate geometry, Geometry, Trigonometry, Mensuration and Statistics and probability. This outline was checked against the official Madhyamik Shiksha Parishad, Uttar Pradesh document on 2 October 2026. Rate how clear each chapter feels and the planner suggests what to revise first.
Academic session 2026-27 / Official source checked / 2026-10-02
Number systems
Real numbers
Fundamental theorem of arithmetic, Irrationality of √2, √3 and √5
Algebra
Polynomials
Zeroes and their relation to coefficients of a quadratic polynomial
Pair of linear equations in two variables
Graphical solutions and consistency, Substitution, elimination and daily-life problems
Quadratic equations
Standard form; real roots by factorisation and quadratic formula, Discriminant and nature of roots; situational problems
Arithmetic progressions
Derive the nth term and sum of the first n terms; applications
Coordinate geometry
Coordinate geometry
Coordinate geometry concepts, graphs of linear equations, distance formula and internal section formula
Geometry
Triangles
Similar triangles; basic proportionality theorem and its converse, Criteria for similarity of triangles
Circles
Tangent perpendicular to radius at point of contact; proof, Equal lengths of tangents from an external point; proof, Number of tangents from a point
Trigonometry
Introduction to trigonometry
Ratios for acute angles; defined ratios at 0° and 90°, Values at 30°, 45°, 60° and relationships among ratios
Trigonometric identities
Establish and apply sin²A + cos²A = 1, 1 + tan²A = sec²A and 1 + cot²A = cosec²A for 0° ≤ A < 90°, where defined
Heights and distances
Elevation and depression with at most 2 right triangles; angles 30°, 45°, 60°
Mensuration
Areas related to circles
Areas of sectors and segments of a circle
Surface areas and volumes
Combinations of any 2 cubes, cuboids, spheres, hemispheres, cylinders or cones
Statistics and probability
Statistics
Mean, median and mode of grouped data
Probability
Classical definition and simple event probabilities
The full guide on one page
The main facts from the tool above, written out so you can read them in one go.
What is in the UP Board Class 10 Mathematics syllabus for 2026-27?
| Unit | Marks | Chapters |
|---|---|---|
| Number systems | 5 | Real numbers |
| Algebra | 18 | Polynomials; Pair of linear equations in two variables; Quadratic equations; Arithmetic progressions |
| Coordinate geometry | 5 | Coordinate geometry |
| Geometry | 10 | Triangles; Circles |
| Trigonometry | 12 | Introduction to trigonometry; Trigonometric identities; Heights and distances |
| Mensuration | 10 | Areas related to circles; Surface areas and volumes |
| Statistics and probability | 10 | Statistics; Probability |
Official source checked. Last checked .
Where is the official UP Board Class 10 Mathematics syllabus?
- UPMSP Class 10 Mathematics syllabus 2026-27, Madhyamik Shiksha Parishad, Uttar Pradesh, accessed
Official sample and previous-year papers for this subject are in the Official papers step of the planner above.
Prepared by the Disha Stars team from the sources listed here. Check the latest official notice before you apply.