**H.S.L.C (SEBA)**

**GENERAL MATHEMATICS**

**Subject Code – C2**

**CLASS – X**

**Theory Total Marks – 90**

**Interval Assessment –10**

**General mathematics paper consists of total 15 chapters. Marks allotted to each chapters are stated below:**

**(**सामान्य गणित के पेपर में कुल 15 अध्याय होते हैं। प्रत्येक अध्याय को आवंटित संख्या नीचे बताई गई है:)

Unit | Sub – Unit / Lesson | Marks |

1.2.3.4.5.6.7.8.9.10.11.12.13.14.15. | Real Number Polynomial Pair of Linear equation in two variablesQuadratic equation Arithmetic Progression Triangle Co-ordinate Geometry Introduction to Trigonometry Some application of trigonometry Circle Construction Area related to circles Surface Areas and volumes Statistics Probability | 648868995544653 |

| Theory Total Practical | 9010 |

| Grand –Total | 100 |

**Weightage and Form of Question**

**This paper is divided into five sections. No. of questions and marks distribution of each section are stated below**(यह पेपर पांच खंडों में विभाजित है। प्रत्येक खंड के प्रश्नों और अंकों के वितरण की संख्या नीचे दी गई है)

Type | Marks | No. of question |

1. Multiple Choice Question (MCQ: Section – A) | 1 | 12 |

2. Short Answer Types Question (SA: Section – B) | 2 | 09 |

3. Short Answer Types Question (SA: Section – C) | 3 | 10 |

4. Long Answer Types Question (LA: Section – D) | 4 | 5 |

5. Long Answer Types Question (LA: Section – E) | 5 | 10 |

**BLUE PRINT of General Mathematics Paper**

**Chapter wise marks distribution along with type of questions asked from each chapter are stated below:**

**(**प्रत्येक अध्याय से पूछे गए प्रश्नों के प्रकार के साथ अध्याय वार अंक वितरण नीचे दिए गए हैं:)

Unit | Types of Question | MCQSection - AMarks: (1) | SASection – BMarks : (2) | SASection – CMarks: (3) | LASection – DMarks: (4) | LASection – EMarks: (5) | Total | |||||

1. | Real Number | 1 | | 1 | | 1 | | | | | | 6 |

2. | Polynomial | 1 | | | | 1 | | | | | | 4 |

3. | Pair of Linear equation of two variable | 1 | | | | 1 | | 1 | | | | 8 |

4. | Quadratic Equation | | | 1 | | 2 | | | | | | 8 |

5. | Arithmetic Progression | 1 | | 1 | | 1 | | | | | | 6 |

6. | Triangle | 1 | | | | 1 | | 1 | | | | 8 |

7. | Co-ordinate Geometry | 1 | | 1 | | 2 | | | | | | 9 |

8. | Introduction to trigonometry | 1 | | 4 | | | | | | | | 9 |

9. | Application of Trigonometry | 1 | | | | | | 1 | | | | 5 |

10. | Circle | 1 | | | | | | 1 | | | | 5 |

11. | Construction | | | | | | | 1 | | | | 4 |

12. | Area related to Circle | 1 | | | | 1 | | | | | | 4 |

13. | Surface Area & Volume | 1 | | | | | | | | 1 | | 6 |

14. | Statistics | | | | | | | | | 1 | | 5 |

15. | Probability | 1 | | 1 | | | | | | | | 3 |

| Total | 12 | | 9 | | 10 | | 5 | | 2 | | 100 |

__Syllabus of General Mathematics____Unit – 1: Real Number__

Ø Use Euclid division algorithm to find H.C.F.

Ø Study about positive odd and even integer’s Form.

Ø L.C.M. and H.C.F. by Factorization Method.

Ø Relationship between H.C.F. and L.C.M. of two numbers.

Ø Method of proving Irrational number.

Ø Terminating and Non-terminating Decimal Expansion.

__Unit – 2: Polynomial__

Ø Quadratic and Cubic Polynomial.

Ø Relationship between zeroes and coefficient of a polynomial.

Ø Division algorithm for polynomial.

__Unit – 3: Pair of Linear equation in two variables__

Ø Solution of a Pair of linear equation by Graphical Method.

Ø Solution of a Pair of Linear equation by algebraic Method.

a) Substitution Method.

b) Elimination Method.

c) Cross-multiplication Method.

Ø Equation Reducible to a Pair of Linear equation in two variables.

Ø Nature of pair of Linear equation Solution

a) Unique Solution.

b) Infinitely Many Solutions.

c) No Solution.

__Unit – 4: Quadratic equation__

Ø Standard form of Quadratic equation.

Ø Solution of a Quadratic equation by

a) Factorization.

b) Completing the Square.

c) Quadratic formula.

Ø Nature of roots of Quadratic equation

a) Two distinct real roots.

b) Two equal real roots.

c) No real roots.

__Unit – 5: Arithmetic Progression__

Ø Definition & meaning.

Ø Nth term of an A.P.

Ø Sum of first nth term of an A.P.

__Unit – 6: Triangle__

Ø Meaning & types of triangle.

Ø Similarity of triangle (Criteria).

Ø Basic proportionality Theorem and Converse of BPT.

Ø Area of Similar triangle Theorem.

Ø Pythagoras Theorem.

__Unit – 7: Co-ordinate Geometry__

Ø Introduction about Co-ordinate Geometry.

Ø Distance formula.

Ø Section formula.

Ø Mid-point formula.

Ø Area of triangle.

__Unit – 8: Introduction of trigonometry__

Ø Introduction.

Ø Trigonometry Ratio.

Ø Trigonometry value of some specific angle.

Ø Trigonometry ratio of complementary angle.

Ø Trigonometry Identities.

__Unit – 9: Some Application of Trigonometry__

Ø Height and Distance.

Ø Use Trigonometry Ratio.

__Unit – 10: Circle__

Ø Introduction about circle, tangent secant.

Ø Tangent to a circle.

Ø Number of tangent from a point on a circle (Theorem).

__Unit – 11: Construction__

Ø Division of Line Segment in ratio.

Ø Construction of Another Triangle in given ratio as compare to existing triangle.

Ø Construction of tangent to a circle.

__Unit – 12: Area related to circle__

Ø Introduction about the area of all 2D shapes.

Ø Perimeter of 2D shapes.

Ø Area of sector and segment of a circle.

Ø Length of sector and segment.

Ø Area of combined plane figures.

__Uni – 13: Surface Area and Volumes__

Ø Surface Area and Volume of –

a) Cube.

b) Cuboids.

c) Cone.

d) Cylinder.

e) Sphere.

f) Hemisphere.

g) Frustum of a cone.

Ø Surface Area and Volume of Combination of Solids.

__Unit – 14: Statistics__

Ø Introduction about Statistics.

Ø Mean of Grouped Data.

Ø Mode of Grouped Data.

Ø Median of Grouped Data.

Ø Graphical Representation of Cumulative frequency Distribution.

__Unit – 15: Probability__

Ø Introduction.

Ø Probability of the following:

a) Coin.

b) Dice.

c) Playing Card & another.

Ø Study about sure event, impossible event.

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