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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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******
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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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