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STUDY MATERIAL

TERM II

CLASS - IX

SUBJECT : MATHEMATICS

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INDEX

PART - I

SA-2

1. Linear Equation in two variables 2. Quadrilateral 3. Areas of Parallelograms and Triangles 4. Circles 5. Construction 6. Surface Areas and Volumes 7. Statistics 8. Probability 9. Activity / Project (Suggested) 10. Model (Sample) Question Paper SA-2 with solution

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COURSE STRUCTURE

CLASS - IX

As per CCE guidelines, the syllabus of Mathematics for class IX has been divided term-wise.

The units specified for each term shall be assessed through both formative and summative

assessment. In each term, there shall be two formative assessments each carrying 10% weightage and one

summative assessment carrying 30% weightage.

SA- 2

Second Term Max Marks - 90

Unit I - Algebra (Contd.) 16

(Linear Equation in two variable)

Unit - II Geometry (Contd.) 38

(Quadrilateral ,Area of Parallelogram and

Triangle, circle, construction)

Unit - III Mensuration (Contd.) 18

Surface areas and volumes

Unit IV Statistics and Probability 18

TOTAL 90

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Chapter - 4

(Linear Equations in two variables) Key Concept

An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in two variables.

A linear equation in two variables has infinitely many solutions.

The graph of every linear equation in two variables is a straight line.

x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.

The graph of x = a is a straight line parallel to the y-axis.

The graph of y = a is a straight line parallel to the x-axis.

An equation of the type y = mx represents a line passing through the origin.

Every point on the graph of a linear equation in two variables is a solution of the linear equation. Moreover, every solution of the linear equation is a point on the graph of the linear equation.

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SECTION B

SECTION C Q.17 Give the geometrical representation of the equation y = 3 as an equation. (i) In one variable

(ii) In two variables Q.18 Ramesh is driving his car with a uniform speed of 80 km/hr. Draw the time distance graph. Form the graph

find the distance travelled by him in.

Answer Q.1 a Q.2 c Q.3 b Q.4 c Q.5 a Q.6 d Q.7 b Q. 8 c Q.19 (-1, 1) Q.20 Yes

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Chapter - 8

(Quadrilaterals) Key Concept

Sum of the angles of a quadrilateral is 3600.

A diagonals of a parallelogram divides it into two congruent triangles.

In a parallelogram (a) diagonals bisects each other. (b) opposite angles are equal. (c) opposite sides are equal.

Diagonals of a square bisects each other at right angles and are equal, and vice-versa.

A line through the mid-point of a side of a triangle parallel to another side bisects the third side. (Mid point theorem)

The line through the mid points of sides of a triangle, ║ to third side and half of it.

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Prove that ED||BF.

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Chapter - 9 (Area of parallelograms and triangles)

Key Concepts

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Chapter - 10

(Circle)

Section - A Q.1 AD is diameter of a circle and AB is a chord If AD = 34cm, AB=30cm. The distance of AB from centre of

circle is.

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Q.5 In given figure value of y is

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Section - C Q.12 In the given figure AD is diameter of the circle, whose centre is O and AB||CD, Prove that AB = CD .

Q.13 In the given figure determine a, b and c.

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Chapter - 11

(Constructions)

Key Concept (1) Use only ruler and compass while drawing constructions. (2) Protractor may be used for drawing non-standard angles. (3) Constructions of a triangle given its base, a base angle and the difference of the other two sides. (4) Constructions of a triangle given its perimeter and its two base angles.

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Chapter - 13

(Surface areas and Volumes)

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Q.9 The diameter of a garden roller is 1.4m and it is 2m long. How much area will it cover in 5 revolutions?

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Chapter - 14

(Statistics)

Section - A

Q.1 If the mean of 2, 4, 6, 8, x, y is 5 then find the value of x+y.

Q.2 Write the class mark of 90-110 group.

Q.3 If the ratio of mean and median of a certain data is 2:3, then find the ratio of its

mode and mean.

Q.4 Tally marks are used to find ………….

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Chapter - 15

(Probability)

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Sample Question Paper

Term - II

Time : 3hrs. MM : 90

General Instructions:

(i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into 4 sections. A, B, C and D. Section

- A comprises of 8 questions of 1 mark each. Section - B comprises of 6 questions of 2

marks each. Section - C comprises of 10 questions of 3 marks each and Section - D

comprises of 10 questions of 4 marks each. (iii) Question numbers 1 to 8 in section-A are multiple choice questions where you are to select

one correct option out of the given four. (iv) There is no overall choice. However, internal choice has been provided in 1 question of two

marks. 3 questions of three marks each and 2 questions of four marks each. You have to

attempt only of the alternatives in all such questions. (v) Use of calculator is not permitted.

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