Familiarity with the syllabus is important for the students preparing for any exams. Similarly, the students appearing in their board exams should know the syllabus of all their subjects and prepare accordingly for the exam. This article presents the syllabus of the Mathematics subject which is counted as one of the major subjects even at higher level of studies. Interested candidates can find the details of the **UP Board Class 10 Maths Syllabus 2024-25 from this post below.**

पाठ्यक्रम के अनुसार अध्ययन करने से न केवल संगठित अध्ययन में मदद मिलती है, बल्कि छात्रों को इस बात की भी जानकारी रहती है कि कौन से विषय पहले से कवर किए गए हैं और कौन से विषय शेष हैं। इस तरह वे अपने अध्ययन पर बेहतर टैब रख सकते हैं।

**Detailed Maths Syllabus for Class 10 UP Board PDF**

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 10 ^{th} Maths exam**.

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

**Unit-wise Marks Distribution**

Unit No. | Unit Name | Total Marks |

Unit I | संख्या पद्धति
Number System | 5 |

Unit II | बीजगणित
Algebra | 18 |

Unit III | निर्देशांक ज्यामिति
Coordinate Geometry | 5 |

Unit IV | ज्यामिति
Geometry | 12 |

Unit V | त्रिकोणमिति
Trigonometry | 10 |

Unit VI | मेंसुरेशन
Mensuration | 10 |

Unit VII | सांख्यिकी तथा प्रायिकता
Statistics and Probability | 10 |

——- | योग
| 70 |

**UP Board 10th Mathematics Important Topics 2024-25**

**Unit I: Number System**

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**

**Polynomial Numbers:**Polynomial Numbers, Relation Of Coefficients And Zeroes Of Quadratic Polynomials, Statement Of Division Algorithm For Polynomials With Real Coefficients And General Questions On It**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 ax^{2}+ 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 n^{th}Series Of Arithmetic Progression And Sum Of First n Terms, Use Of AP In Solving Problems Related To Real Life

**Unit III: 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

**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

**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 0^{0 }And 90^{0}, Trigonometric Ratio Values (30^{0}, 45^{0}, 60^{0}, 0^{0 }And 90^{0}) And Relationships Between Then**Trigonometric Identities:**Establishing Trigonometric Identities And Its Application (Sin^{2}θ + Cos^{2}θ = 1), Trigonometric Ratios Of Complementary Angles**Height & Distance:**Elevation Angle, Depression Angle, Basic Questions On Height & Distance, Elevation And Depression Angle Should Only Be 30^{0}, 45^{0}And 60^{0}

**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 60^{0}, 90^{0}, 120^{0}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
- Probability: Theoretical Definition of Probability, Questions Based on Single Event

**Other Subjects Syllabus: Check here**

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