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- UK Board Class 10 Maths Syllabus 2024-25 at ubse.uk.gov.in Check Exam Pattern,Syllabus Here
UK Board Class 10 Maths Syllabus 2024-25 at ubse.uk.gov.in Check Exam Pattern,Syllabus Here
by Keerthika
Updated May 31, 2024
UK Board Class 10 Maths Syllabus 2024-25 at ubse.uk.gov.in
The Uttarakhand Educational Board plays a crucial role in students' lives by setting the curriculum and exams. UBSE has recently updated the syllabus for class 10 and 12 students for the academic year 2024-25. Students can also check the updated syllabus for practicals. To ensure you are studying the most relevant materials, both students and teachers can download the syllabus.
Check - UK Board Class 10 Maths Syllabus 2024-25
View - UK Board Class 10 Maths Syllabus 2024-25
Unit-Wise Name And Marks
Units |
Unit Name |
Marks |
I |
NUMBER SYSTEMS |
06 |
II |
ALGEBRA |
20 |
III |
COORDINATE GEOMETRY |
06 |
IV |
GEOMETRY |
15 |
V |
TRIGONOMETRY |
12 |
VI |
MENSURATION |
10 |
VII |
STATISTICS & PROBABILTY |
11 |
Total |
80 |
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 nth 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.
-
Definitions, examples, counter examples of similar triangles.
- (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.
- (Motivate)If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
- (Motivate)If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- (Motivate)If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- (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
- (Prove)The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- (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.
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? -FAQ
According to the UK Board 10th exam pattern 2024-45, the total mark allotted for the UK Board class 10 Math paper is 100, divided between theory paper (80 marks) and internal assessments (20 marks). Is there any negative marking in the UK Board 10th exam? No, there is no negative marking in the UK Board 10th exam.
students can confidently aim for a score above 95 in the upcoming CBSE 10th Maths Exam. Begin your study sessions well in advance. Create a practical study timetable that divides time for each subject, revision, and practice.