# UP Board class 10th Maths new syllabus 2021-2022

## Maths English medium new syllabus

Maths New syllabus up board english medium 2021-2022

## Removed Parts of Syllabus

Polynomial : Polynomial Numbers, Relation Of Coefficients And Zeroes Of Quadratic Polynomials, Statement Of Division Algorithm For Polynomials With Real Coefficients And General Questions On It

Arithmetic Progression: Derivation Of nth Series Of Arithmetic Progression And Sum Of First n Terms, Use Of AP In Solving Problems Related To Real Life

Circle: Tangent Line and Tangent Point of Circle
The tangent line of the circle will be perpendicular to the radius passing through the tangent point
Two tangents drawn from an external point are equal in length

Trigonometry: Establishing Trigonometric Identities And Its Application (Sin^2θ + Cos^2θ = 1)

Probability: Theoretical Definition of Probability, Questions Based on Single Event

Maths English medium new syllabus

## Detailed Mathematics Syllabus for Class 10 UP Board English medium

Maths English medium new syllabus

It is important to have knowledge about the exam syllabus before starting preparation. Below given are the important units, topics and marks distribution for UP Board class 10th Maths exam.

छात्रों को पूर्ण पाठ्यक्रम की सावधानीपूर्वक जांच करनी चाहिए और पाठ्यक्रम में शामिल किसी भी विषय को नहीं छोड़ना चाहिए।

## UP Board 10th Mathematics Important Topics 2021

Unit I: Number System

Real Number: Euclid Division Algorithm, Fundamental Theorem Of Arithmetic With Example, Verification Of Irrational Numbers, Representation Of Rational Numbers In Terms Of Consecutive Non-Recurring Decimals

Unit II: Algebra

Pair Of Linear Equations With Two Variables: Pair Of Linear Equations In Two Variables, Solution Of Linear Equations By Graphical Method, Algebraic Method Of Solving A Linear Equation- Replacement Method, Deletion Method And Cross Multiplication Method, Reversible Equations In Pair Of Linear Equations Of Two Variables.
Quadratic Equation: Standard Quadratic Equation ax2 + bx + c = 0, (a ≠ 0), Solve The Quadratic Equation By Making It A Perfect Square By The Quadratic Formulas, Relationship Between Discriminant Of Quadratic Equation And The Nature Of Its Roots, Day-To-Day Use Of Quadratic Equations And Questions Based On Them
Arithmetic Progression: Derivation Of nth Series Of Arithmetic Progression And Sum Of First n Terms, Use Of AP In Solving Problems Related To Real Life

Unit III: Coordinate Geometry

Coordinate Geometry : Concept of Coordinate Geometry, Graphs Of Linear Equations, Distance Formula, Section Formula, Area of Triangle

Unit IV: Geometry

Triangles:
Definition and example of congruent triangle

A line drawn parallel to one side of a triangle divides the remaining two sides in equal proportions
The line dividing two sides of a triangle in equal proportions is parallel to the third side
Triangles are congruent if a pair of corresponding sides in two triangles is proportional and the angle subtended is equal
Triangles are congruent if the pair of adjacent angles is equal and the adjacent sides are proportional
Triangles are congruent if one angle of one triangle is equal to the corresponding angle of the other triangle and their corresponding sides are proportional
If a perpendicular is placed on the hypotenuse from the vertex of the right triangle, then the triangles on either side of the perpendicular line are mutual and identical to the original triangle
The ratio of area of congruent triangles is proportional to the squares of the corresponding sides
In the right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides
In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is right angle

Construction: Divide the given line segment in the given ratio (internal)
Drawing a tangent from a point given outside the circle
Construction of a triangle congruent to a given triangle

Unit V: Trigonometry

Introduction To Trigonometry: Trigonometric Ratios Of Acute Angles Of Right Triangle, Trigonometric Ratios Of 00 And 900, Trigonometric Ratio Values (300, 450, 600, 00 And 900) And Relationships Between Them

Trigonometric Identities: Establishing Trigonometric Identities And Its Application, Trigonometric Ratios Of Complementary Angles

Height & Distance: Elevation Angle, Depression Angle, Basic Questions On Height & Distance, Elevation And Depression Angle Should Only Be 300, 450 And 600

Unit VI: Mensuration

Area of circle: Area Of Circle, Sector Of Circle And Area Of Segment, Area Of The Combinations Of The Above Plane Figures (Questions Will Be For 600, 900, 1200 Angle Only)

Surface Area And Volume: Surface Area And Volume Of The Plane Shapes Connected By Any Two Of The Following- Cube, Cuboid, Sphere, Hemisphere, Ellipse, Cylinder, Cone And Tapered Cone, Questions Related To Conversion Of One Kind Of Solid Shape Into Another And Other Similar Questions

Unit VII: Statistics and Probability

Statistics: Mean, Median and Mode of Classified Data, Cumulative Frequency Graph

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