Uttarakhand Board Class 10 Maths Syllabus: The Uttarkhand Educational board is a governing body that palys a key role in the life of the students by setting the curriculum and the exams. UBSE has recently updated the syllabus for the class 10 and 12 students for the academic year 2024-25. 

Students can check the updated syllabus along with practicals as well. To ensure if you are studying from the most relevant materials, both students and teachers can download the syllabus. 

UK Board Class 10 Maths Unit-Wise Name And Marks

UNIT I: NUMBER SYSTEMS 

1. REAL NUMBER

Fundamental Theorem of Arithmetic  statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3  and√5. 

UNIT II: ALGEBRA

1. POLYNOMIALS

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLE

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically- by substitution, by elimination. Simple situational problems.

3. QUADRATIC EQUATIONS

Standard form of a quadratic equation ax² + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

4. ARITHMETIC PROGRESSIONS

Motivation for studying Arithmetic Progression Derivation of the n^th term and sum of the first n terms of A.P. and their application in solving daily life problems.

UNIT III: COORDINATE GEOMETRY

Coordinate Geometry

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

UNIT IV: GEOMETRY

1. TRIANGLES

Definitions, examples, counter examples of similar triangles.

1. Definitions, examples, counter examples of similar triangles.

   1. (Prove)If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
   2. (Motivate)If a line divides two sides of a triangle in the same ratio, the line is parallel to the third  side. 
   3. (Motivate)If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 
   4. (Motivate)If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 
   5. (Motivate)If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 

2.  CIRCLES

Tangent to a circle at, point of contact

1. (Prove)The tangent at any point of a circle is perpendicular to the radius through the point of contact. 
2. (Prove)The lengths of tangents drawn from an external point to a circle are equal. 

UNIT V: TRIGONOMETRY

1. INTRODUCTION TO TRIGONOMETRY

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 30⁰, 45⁰ and 60⁰. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given.

3. HEIGHTS AND DISTANCES:  Angle of elevation, Angle of Depression.

Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/ depression should be only 30°, 45°, and 60°.

UNIT VI: MENSURATION

1. AREAS RELATED TO CIRCLES

Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.

2. SURFACE AREAS AND VOLUMES

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

1. STATISTICS

Mean, median and mode of grouped data (bimodal situation to be avoided).

2. PROBABILITY

Classical definition of probability. Simple problems on finding the probability of an event.

Internal Assessment Marks For UK Board Class 10 Maths Exam

(i) Activities (02)- 2X5- 10 Marks

(ii) Project Work (01)- 05 Marks

(iii) Continuous Assessment (Unit Test)- 05 Marks

(There will be total 3 Unit Tests (two Unit Tests before half yearly examination and one after half yearly examination) and a pre-board examination to be conducted throughout the year. At the time of half yearly result preparation best of two Unit Tests (I & II) marks will be taken and converted to the weightage of 05 marks. In annual board examination, marks of the best out of 3 Unit Tests will be taken and converted to the weightage of 05 marks for the result preparation.)

We have provided the whole syllabus for UK Board Class 10 Maths. Students can easily download the syllabus from the direct link provided below. 

UK Board Class 10 Maths Syllabus 2024-25

Also, check 

Uttarakhand Board Class 10 Latest Sanskrit Syllabus 2024-25: Download PDF For Board Exam!

UK Board Class 10 English Syllabus 2024-25: Download Revised UBSE English Syllabus PDF!