WORKSHEET_05.11.2016

9^th Worksheet _05.11.2016

1.  Draw a line segment SR of length 10 cm. Divide it into 4 equal parts, using compass and rular.

2.  Construct a triangle XYZ in which <y=30 , <z=80 and xy+yz+zx=11 cm.

3.  Construct a triangle XYZ in which yz=5 cm, <y=75 and xz-xy=2.5 cm.

4.  PQRS is a parallelogram and T is any point on side SR.If area of triangle PTQ=10 cm².Find the area of parallelogram PQRS.

5.  ABCD is a parallelogram and Q is any point on Side AD. If area Triangle QBC=10 cm².Find the area of triangle QAB+ area of triangle QDC.

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PRACTICE Q_28.10.2016

9^th Worksheet

1.  Total number of legs in a herd of goats and hens is 40. Represent this situation in the form of a linear equation in two variables.

2.  Two friends A and B  donated a sum of Rs. 6000 in Prime-minister flood relief fund. Write a linear equation in two variable for this situations and draw its graph. What value is depicted from this action ?

3.  Draw the graph of each of the equation x -2y-3=0 , 4x+3y-1=0 on the same graph.

4.  A man when asked how many hens and buffaloes he has, given that his animals has 120 eyes and 180 legs.

5.  Find four solutions of 2(x+3) -3( y+1)=0

6.  Construct a triangle ABC in which BC=7 cm, <B=75⁰ AB+AC=13 cm.

7.  Construct a triangle ABC in which BC=5 cm, <B=45⁰ AB-AC=2.8 cm.

8.  Construct a triangle XYZ in which <Y=90⁰, <Z=30⁰ and perimeter of the triangle is 13 cm.

TERM2 SYLLABUS

WORKSHEET_22.10.2016

9^th Worksheet

1.       In -2y+3x=14 Express y in terms of x.

2.       Arvind and Vinod have some erasers. Arvind said to Vinod, if you give me 10 erasers , I will have twice the erasers left with you. Represent this situations as a linear equation in two variables.

3.       Total number of legs in a herd of goats and hens is 40. Represent this situation in the form of a linear equation in two variables.

4.       Construct a triangle XYZ in which YZ= 5 cm , <Y=75⁰, XZ-XY=2.5 cm.

5.       (Value based question) Two  friend Neetu and salma donated a sum of Rs. 5000 in Prime minister flood relief fund. Write a linear equation in two variable for this situation  and draw its graph. What value is depicted from this action ?

VALUE:- Sense of responsibility of citizens at the time of National Calamity and disaster.

6.       Construct a triangle in which AB=6 cm , <A= 45⁰ , AC- BC= 2 cm.

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HOMEWORK ( 21.10.2016)

               HOMEWORK ( 21.10.2016)

1. Construct a triangle with BC=8cm , <B=45 ⁰ and AB-AC=3.1 cm .
2.  Construct a right angled triangle whose base is 4 cm and difference of the hypotenuse and other side is 2 cm.
3.Construct a triangle ABC in which BC = 7 cm,
<B = 75° and AB + AC = 13 cm.

4.  Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other
side is 18 cm. 

ASSIGNMENT (LINEAR EQUATION IN TWO VARIABLE)

ASSIGNEMENT 01

1. Express the following linear equations in the form of ax+by+c=0 and write the value of a, b and c.

i)                2x+3y=9.35

ii)             Y-2=0

iii)         3x+2=0

iv)         5=2x

2. Write four solutions of the following \

i)                3.14x +y = 9

ii)             X=4y

3. Check whether the points ( 2,0) , (4,0) ( 2,-4) ( 1,1) a re solutions of x-2y=4 or not

4. Find the value of k if x=2 , y= 1 is a solution of equation 2x+3y=k

5. If 2x+ky = 10 intersects y- axis at (0,2) find the value of k

6. Draw the graph of x-2y =4

7. Draw the graph of the equation 3x-4y=12 . Also find the co-ordinates of the points where the graph cuts x-axis.

8. Draw the graph of the equation 3x +4y =7 and 3x-2y=1 and find the point of intersection of lines representing the equations.

9. The ratio of price of coffee to that of tea is 8:1 . Draw the graph if the price of coffee is Rs. 24 per 100 grams. Find the cost of 100 grams of tea from the graph.

10.                 The present age of girl is two fifth the age of her father. Express above as linear equation in two variable . Also find                                            i) The age of girl when father is 40 years

ii)             The age of father when girl is 22 years

11.                 Find equation of line passing through ( -1,3) and

i)                Parallel to x-axis

ii)             Parallel to y-axis

iii)         Neither parallel to x-axis nor to y-axis

12.                 How many solutions of the equation 5x+3 = 3x+7 are on the      a) Number line     b) Cartesian plane. Write three solution of the equation in Cartesian plane.

13.                 In countries like U.S.A and Canada temperature is measured in Fahrenheit , Whereas  in India it is measured in Celsius.  Here is a linear equation .This convert Fahrenheit to Celsius 

  F=(9/5) c + 32

i)                Draw the graph of the equation using Celsius as x-axis and Fahrenheit as y-axis

ii)             If temperature is 95 F, What is temperature in Celsius

iii)         If temperature is 30 c , What is the temperature in Fahrenheit ?

iv)         Is there a temperature which is numerical the same in both , if yes find that

14.                 The taxi fare in a city for first kilometer is Rs. 8 and for the subsequent distance it is Rs. 5 /km .Write linear equation for this and draw graph.

15.                 Draw the graph of the linear equation

i)                3x+ 5y = 15

ii)             (x-2)/3  = y-3  

NUMBER SYSTEM (01)

NUMBER SYSTEM (01)

NUMBER SYSTEM (02)

NUMBER SYSTEM (02)

POLYNOMIALS (01)

POLYNOMIALS (01)

POLYNOMIALS (02)

POLYNOMIALS (02)

EUCLID GEOMETRY (01)

EUCLID GEOMETRY (01)

EUCLID GEOMETRY (02)

EUCLID GEOMETRY (02)

LINES AND ANGLES

LINES AND ANGLES 

COORDINATE GEOMETRY (01)

COORDINATE GEOMETRY (01)

COORDINATE GEOMETRY (02)

COORDINATE GEOMETRY (02)

TRIANGLE (01)

TRIANGLE (01)

TRIANGLE (02)

TRIANGLE (02)

HERON'S FORMULA (01)

HERON'S FORMULA (01)

HERON'S FORMULA (2)

HERON'S FORMULA (2)

SA1 PREP ( COORDINATE GEOMETRY)

                             9^TH MATHEMATICS

       SA1 PREPARATION (COORDINATE GEOMETRY )

After going through this chapter students  will be able to learn

TYPE 1 Coordinate axes

1.       X axis is horizontal line

2.       Y axis is vertical lines.

TYPE 2 Origin :- The point of intersection

  (0 ,0)

TYPE 3 Quadrants

Four quadrants   Ist ( +,+) 2^nd ( - , +)   3^rd ( - , -)  4^th ( + , -)

Q. In which quadrant ( -5, 7 ) lies

TYPE 4 Abscissa , ordinate and coordinates.  

Abscissa:- The x coordinate of a point

Ordinate:- Y coordinate of a point

Coordinate :- ( x, y) are called coordinate of the point

*Practice Ex 3.3 and 3.4

TASKS 26.8 to 28.8

                                                                        TASK : 01 ( 26.08.2016)

 9^th Mathematics

TASK 01

^1.             Expand (- + y + )²

^2.             Find the value of k , if x-1 is a factor of x²+x+k

^3.             Show that 0.477777…… can be expressed in p/q form.

^4.             Simplify  -

^5.             Factorize x³ + 13x² + 32x + 20

                                                          TASK : 02 ( 27.08.2016)

           1. Use identity to solve 104 x 97 .

2.Plot the points ( 3,4), ( -3,-3) , ( -7,6) and ( 0, -6) on Cartesian plane and give their positions in quadrants/axies.

3. Find the area of the triangle with sides 35 cm , 54 cm and 64 cm.

4. The perimeter of an isosceles triangle is 42 cm and its base is  times each of the equal sides . Find the length of each side and area of the triangle.

5. Divide  x³ + 3x² +3x +5 by x +2

TASK : 03 ( 28.08.2016)

1. Find 6 rational number between 3 and 4.

2. Prove that the sum of all interior angles of a triangle is 180⁰ .

3. Without actually calculating find the value

(-12)³ +( 7)³ + (5)³

4. Factorize a⁷-ab⁶

5. Find the area of the quadrilateral ABCD in which AB=42 cm, BC=21 cm , CD= 29 cm, DA= 34 cm and diagonal BD= 20 cm.

SA1 PREP ( POLYNOMIALS)

                             9^TH MATHEMATICS

       SA1 PREPARATION (POLYNOMIALS)

After going through this chapter students  will be able to learn

TYPE 1  Various identities of polynomials  

Revise all identities Pg.13,14 of M.E book

Q1 Expand (√2 x -3y )²

Q2 Expand (  -  )³

TYPE 2 Degree / Coefficient / Constant term

Q1 What is the degree of 3x²+4x -7

Q2 Write the coefficient of x² in 3x²+4x -7 , also write the constant term.

*Q2 ,4,5 pg no 19 of M.E

TYPE 3 Zeros of the polynomial

Q1 Find the zeros of the polynomial  P(x)=x -4

*Refer Q11 of pg 20

TYPE 4 Remainder theorem

Q1 Find the remainder when p(x) is divided by g(x)

p(x)= x³-2x³-4x-1  , g( x)= x+1

*Refer Q14,16,17 of pg 20 (M.E)

TYPE 5 Factorisation by splitting the middle term

Q1 Factorize 6x² + 7x - 3

*Refer Q 24,26,27,29 of pg 21 (M.E)

TYPE 6 Expand

Q1 Expand  ( 4a-b+2c)²

*Refer Q28,31 of pg 21 (M.E)

TYPE 7 Factor theorem

Q1 Show that (x -3) is a factor of the polynomial x³ - 3x² + 4x -12

Reference :- 1.  Above mentioned types is learning material .Please refer book M.E(Maths exemplar)

                       2. www.dbs9maths.blogspot.in 

TEST 03

TEST 

 1.   What is the difference between axioms and postulates ?

2.  In ∆PQR, ∠R = ∠P, QR = 4 cm. and PR = 5 cm.  Find the length of the side PQ.( 1 × 2 = 2)

3.  Prove that two lines cannot have more than one point in common.

4.  Three angles of a quadrilateral are 70⁰, 80⁰ and 100⁰.  Find its fourth angle.                                                                        ( 2 × 2 = 4)

5.  If D is the midpoint of the hypotenuse AC of a right angled ∆ABC, prove that BD = .                                              ( 3 × 2 = 6)

6.  D, E and F are the mid points of the sides of an equilateral ∆ABC, then prove that ∆DEF is also an equilateral triangle.

REASONING APTITUDE 03

                            Reasoning Aptitude 03  

      

Select the related word/Number from Q.1  to Q.4

1.      BDAC:FHEG::NPMO: ?

a)         RTQS        b)TRQS                  c)RQTS                 d)QTRS

2.    49 : 64 :: 144 :  ?

a)      256   b)169                  c)186                   d)121

3 .Arrange the following words as per order in the dictionary

1. Genuine 2.Gender 3.Genesis 4. Gentle  5.General

a)3,5,2,4,1           b)1,5,4,3,2          c)4,5,3,2,1,                   d)2,5,3,4,1   

4.Select the word which can  not be formed using the letter(Q4 and Q5)

REMEMBRANCE

a) NUMBER                   b)EMBRACE  c)REMEMBER             d)MEMBRANE

5. ANNIVERSARY

a) YARN               b)VERY                c)SAVE                 d)VIEW

6.If police is called teacher, teacher is called politician , politician is called doctor , doctor is called lawyer and lawyer is called surgeon , who will arrest the criminals

a) teacher            b)doctor              c)police                d)lawyer

7.-15-27-88-63+225 =?

a) 55           b)      74     c)62            d)59 e) None

8.1,4,9,16,25,___

a) 35           b)36           c)48            d)49

9.20,19,17,____,10,5

a)      12     b)13           c)14            d)15

10.3,9,27,81,___

a)324                   b)243                  c)210                   d)162