Assignment

Real numbers-

Project (Make of model on different kinds of numbers) (Natural,Whole,Integers).

Polynomials –

Quiz

Class is divided into four teams and questions will be asked by three rounds.

Rapid fire (10 marks) - Based on properties of polynomials

Thinking skills(10 marks) – To factorise the polynomials

Arithmetic skills(10 marks)- Calculation of values based on identities

Coordinate geometry-

Plotting the points in the four quadrants and getting a shape of a flower. The students will identify the points given in the four quadrants and join the points to get the shape of a flower.

Linear equations in 2 variables-

3. Solve real life problems.

1. Prove that a linear equation in two variables has infinitely many solutions.

2. Plotting the coordinates on the line.

IntroductIon to EuclId’s gEomEtry-

Class is divided into teams and questions given based on Euclid’s geometry

1) Euclid’s axioms and postulates: 5question - 5marks

2) Theorem and proof :1 question – 5marks

3) About Euclid:4question multiple choice– 4marks

4)5th postulate short form- 2marks

Lines and angles-

Parallel lines and transversal

Draw two parallel lines and transversal. Measure the eight angles formed by the transversal with the parallel lines. Write observations and relationship between various pairs of angles and record the values.

Triangles-

: Making the congruent triangles by arranging pins and using rubber band

Draw the shapes of triangles based on SSS, SAS, ASA and R.H.S property. Cutting and pasting diagrams drawn in papers based on the congruency rules properly under the given rule. An idea to make the concept clear after the completion of lesson.

TEST

Choose the correct answer. Each carry ½ mark

1) Abscissa of all points on the y-axis is ______________.

a) 1 b) any number c)0 d) 2

2) The point (-5,7) belongs to the ________________quadrant.

a) 1st b) 2nd c) 3rd d)4th

3) The point which lies on the line y= -3x is__________

a) ( 2,-7) b) ( 3,-6) c) (-3,1) d) (1,-3)

4) Signs of the abscissa and ordinate and of a point in the third quadrant is __

a) ( +,+) b)(-,-) c)(-, +) d) (+,-)

5) The perpendicular distance of the point P(5,3) from the y-axis is________

a) 3 b) 5 c)8 d)2

6) Boundaries of solids are _____________

a) surfaces b) curves c) lines d) points

7) If a+ b = 100 then a+ b+ c = 100 + c . The Euclid’s axiom that illustrates this statement is known as__________ axiom.

a) 1st b) 2nd c)3rd d) 4th

8)The number of dimensions , a point has: _________

a) 0 b) 1 c) 2 d) 3

9) If a= 2b and c=2b then a =c .The Euclid’s axiom which illustrates this statement is ________

a) second b) fourth c) sixth d) seventh

10)Through two points _________________

a) no line can be drawn b) a unique line can be drawn

c) more than one line can be drawn d) none of the above

Short – answer type questions

11) Find the point whose ordinate is 6 and which lie on the y-axis

12) The points in which abscissa and ordinates have different signs will lie in which quadrants?

13) State Euclid’s first axiom.

14) State Euclid’s third postulate.

15) If the points (-3,a ) and (b,4) lie on the straight line with equation y=4x, find the Values of ‘a’ and ‘b’

16) Are there any points which do not lie in any of the quadrants? If yes , where do they lie?

17) Solve the equation u-5 =12 and state the axiom used here.

18) State the Euclid’s fifth postulate in your own form.

19) Plot the points A( 2,0) , B( 4,0) , C( 4,2) and D(2,2) in graph and name the shape so obtained.

Worksheet-1

Topic: Coordinate Geometry

I. State True or False with reason:

1. Point P(1,-7) lies in IV quadrant. ( )

2.A(7,2) and B(2,7) represents the same point in Cartesian plane. ( )

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3.Point P(5,0) lies on X-axis.( )

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II. Draw with care ( In graph note)

1. Draw the graph of the equation y = 3x 2. Draw the graph of the equation y = 2x - 4 3. Draw the graph of the equation y = 4x -5 4. Draw the graph of the equation y = x-1 5. Draw the graph of the equation y = x + 1

Represent me in your graph , save me, feed me……….. the animal says

Worksheet-1

Topic: Euclidean Geometry

Worksheet-1

1. Heron’s formula is : 2. The semi perimeter of a triangle having the length of its sides as 20 cm, 15 cm and 9 cm is (a) 44 cm (b) 21 cm ( c) 22 cm (d) none 3. Find the area of an equilateral triangle with side10 cm. 4. The sides of a triangular ground are 5 m, 7 m and 8 m respectively. Find the cost of leveling the ground at the rate of Rs 10 per m2. (use =1.73) 5. The perimeter of a right triangle is 24 cm. If its hypotenuse is10cm, find its area. 6. Find the area of a quadrilateral ABCD whose sides AB = 13 cm, BC = 12 cm, CD = 9 cm, DA = 14 cm and diagonal BD = 15 cm. 7 . The unequal side of an isosceles triangle is 6 cm and its perimeter is 24 cm. Find its area. 8. The sides of a triangle are in the ratio 3 : 5 : 7 and it’s perimeter is 300 m. Find its area. 9. A triangular park has sides 120 m, 80 m and 50 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ? Find the cost of fencing it with barbed wire at the rate of Rs 20 per metre leaving a space 3 m wide for a gate on one side. 10. Find the area of a triangular park, two sides of which are 18 m and 10 m and the perimeter is42 m. 11. The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm and the diagonal AC measures 42 cm. Find the area of the parallelogram. 12. Find the height of the trapezium in which parallel sides are 25 cm and 10 cm and non-parallel sides are 14 cm and 13 cm. 13. The sides of a triangular park are 8 m , 10 m and6 m respectively. A small circular area of diameter2 m is to be left out and the remaining area is to be used for growing roses. How much area is used for growing roses ? (use pi = 3.14) 14. The perimeter of a triangular ground is 900m and its sides are in the ratio 3 : 5 : 4. using Heron’s formula, find the area of the ground.

Worksheet-2

10. The area of an equilateral triangle with side 10 is __________

(A)

(B)

(C) a2 (D)

a2

Worksheet-1

Make linear equations in two variables for the graphs given below

a) b)

c) d)

Worksheet-2

TEST

1) Give the equation of any line passing through ( 1,-5) ( 1 mark)

2) Write any two solutions of x+ 2y= 13 ( 1mark)

3) Express y in terms of x in the given equation and calculate y if x= 6 ( 2marks)

4) Check which of the following are the solutions of the equations x- 4y = 2 ( 2marks)

(i) ( 10,2) (ii) ( 7, -1)

5) Write x = 7y-11 in the form ax + by + c = 0 and find the value of a, b and c ( 2marks)

6) If x= 2 and y=-1 is a solution of the equation ax-y =5 find the value of a. (3marks)

Also find two solutions of the equation.

7) Show that the points A(1,2) b(-1,-16) and c(0,-7) lie on the graph of the linear equation y =

9x – 7 ( 3marks)

8) Solve the equation 3x+ 4 = 7+ 2x for x and represent the solution ( 4marks)

(i) on a number line

(ii) In the Cartesian plane

9) The graph of x= a is a straight line parallel ( 1mark)

a) x- axis b) y-axis c) line x= y d) line x+ y = 0

10) The line y= mx + c

a) passes through origin b) does not pass through origin c)is parallel to x- axis d)is

parallel to y –axis (1mark)

TEST

Topic: Lines and angles

Choose the correct answer ( 5 x 1 =5)

4. The angle which is eight times its complement is __________

a) 800 b) 720 c) 900 d) 880

5. If every angle of a regular octagon is 1350, then find the external angle of it.

a) 650 b) 750 c) 450 d) 550

EACH QUESTION CARRIES TWO MARKS ( 3 x 2 = 6)

8. Prove that each angle of a equilateral triangle is 600

EACH QUESTION CARRIES THREE MARKS ( 3 x 3 = 9)

9. The angles of a triangle are in the ratio 2:3:4. Find all the angles.

10. If two lines are intersected by a transversal , prove that bisectors of two pairs of interior angles enclose

a rectangle.

11.Bisectors of angles A and B of a parallelogram ABCD meet at a point M. Prove that <BPC = 900 + ½ < A.

TEST-1

Question 1-4 . Each question carries 1 mark [ 4 x 1 = 4]

1) Find the value of

-3/2

2) If the co-ordinates of two points are P(-2,3) and Q (-3,5) then find the value of (abscissa of P)-(abscissa of Q).

3) If p + q =6 and p = r show that r + q =6 by Euclid’s axiom.

4) Find the QRS in the given diagram

.

Question 5 to 9.Each question carries 2 marks [ 5 x 2 =10 ]

5) The exterior angles obtained on producing the base of a triangle both ways are 1100 and 1300. Find all the angles of the triangles with proper reasons

6) Express 8.4343… in the form of a rational number (p/q form).

7) In which quadrant will the points lie (i) the abscissa is -5 and ordinate is -3 (ii) the ordinate is 4 and

abscissa is 5 (iii) the ordinate is 3 and abscissa is -4?

8) Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery

of several other geometries. State True/ False. Justify.

9) Find the value of ‘x’ and ‘y’ if ( x+5 , 2y-x+3) = ( 12 , 4)

Question 10-15. Each question carries 3 marks [ 6 x 3 = 18 ]

10) Simplify 3 - +

11) Find two points satisfying each of these equation ( i) y=3x ( ii) y= 4x-1 (iii) y =

12) Prove that every line segment has one and only one midpoint on it.

13) In the diagram POY = 900 and the ratio a:b= 2:3 .Find c.

14) In figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB∥CD.

15) Plot the points A( 2,0), B( 8,0) , C(8,4) in a graph paper. Complete the rectangle ABCD by marking the point D and find the coordinates of the point D.

Each question carries 4 marks [2 x 4 = 8]

16) Represent on the number line.

17) Find the values of a and b if + 1 = a + b .

- 1

TEST - 2

1) If 125x = 25 . Find x.

5x

2) In the diagram, find the value of x

3) If the perpendicular distance of a point P from the x-axis is 5 units and

the foot of the perpendicular lies on the negative direction of x-axis, then

find the y co-ordinate.

4) Find an irrational number between 2.3 and 2.5

5) If p(x) = x2 -5 x + 1 then find p(2)

6) Find the number obtained on rationalizing the denominator of

7) Find the value of 2

8) ∠1 = ∠3, ∠2 = ∠4 and ∠3 = ∠4 .Write the relation between ∠1 and ∠2,

using an Euclid’s axiom. Write the axiom

9) AC = AD and ∠C = ∠D. Prove that ΔACE ΔADB

10) Plot the point P (-6, 2) and from it draw PM and PN perpendicular to x-

axis and y-axis respectively.

Write the coordinates of the points M and N.

11) For the polynomial x3 +2x-1 -7x2 - x6 , write

5 2

(i) The degree of the polynomial (ii) The coefficient of x3

(iii) The coefficient of x6 (iv) The constant terms

12) If the area of equilateral triangle is 16 cm2, then find its perimeter

13) Locate on the number line.

14) Express 0.12333… in the form of p/q, where p and q are integers and

q≠0

15) Find the zeros of the polynomials (i) p(x) = 3x- 1 (ii) q(x)= 8+ 2x

(iii) r(y)= y3-64

16) Plot the following points and check whether they are collinear or not

(1, 3) (-1,-1), (-2,-3)

17) Find the angles if the lines are parallel

18) If PQ PS, PS SR, ∠SQR = 280 and ∠QRT=650 , then find the value of x

and y

19) E and F are respectively the midpoints of equal sides AB and BC of ΔABC.

Show that BF = BE.

20) The sides of the triangular plot are in the ratio 3:5:7 and its perimeter is

300m.find its area

21) (i) In the given figure AC =BD, prove that AB=C D

(ii) Solve the equation a-14 = 3 and state which axiom you use here.

22) Find the value of a and b

= a + b

23) Students of a school staged a rally for cleanliness campaign. They

walked though the lines in two groups. One group walked through the lines

AB, BC and CA; while the other through AC,CD and DA. Then they cleaned

the area enclosed within their lines. If AB = 9m, BC = 40m, CD =15m and DA

=28m and B =900.Which group cleaned more area and by how much?

Find the total area cleaned by the students.

24)(i) Find the remainder when the polynomials x3 + 2x2 -5x -7 is divided

by (x+1)

and (ii) check (x - 2 ) is a factor of x3 +x2 -12x +6

25)Points A(5,3), B(-2,3 ) and D(-5,4) are three vertices of a square ABCD.

Plot these points on a graph paper and hence find the co-ordinates of the

vertex C.

26) ABC and DBC are two isosceles triangles on the same base BC. Show that

∠ABD = ∠ACD

27) Sides AB and AC of a ∆ABC are extended to points P and Q respectively.

Also ∠PBC = ∠QCB.

Show that AC > AB.

28) The sides AB and AC of ∆ABC are produced to points E and D

respectively. If bisectors BO and CO of CBE and BC D respectively meet

at point O, then prove that BOC = 900 - BAC .

29) (i) Prove that every line segment has one and only one midpoint.

(ii)Does Euclid’s fifth postulate imply the existence of parallel lines?

Explain .

30)A triangular park ABC has sides 120m, 80m and 50m, A gardener

Devaraj has to put a fence all around it and also plant grass inside. How

much area does he need to plant? Find the cost of fencing it with barbed

wire at the rate of Rs.20 per meter.

TEST

I) Each question carries ½ mark [ 4 x ½ = 2]

1) Find the zero of the polynomial p(x) = 2x -4

2)Find the degree of polynomial

3)Find the factors of 3x2 + x

4) Give one example of binomial of degree 5

II) Each question carries 1 mark [ 6 x 1 = 6]

5) Find the value of the polynomial y2 – 5y + 6 at y=1

6) Factorise x2 – x- 6

7) Using appropriate identity factorise 4x2 - 25

8) Find the remainder when x 3 + 2x2 + 3x + 1 is divided by x +1

9) Without actually calculating the cubes , find the value of (-12)3 + (7)3 + (5)3

10) If p(x) = x2 + 3x+2 then find the value of p(1) + p(2)

III) Each question carries 2 marks [ 3 x 2 = 6]

11) If ( x+1) is a factor of ax3 + 2x2 – x + 3a -7, then find the value of a.

12) Determine if x3 – 3x2 + 4x -4 is divisible by ( x-2)

13) If x +y + z = 10 and x2 + y2 + z2 =40, then find xy + yz + xz

IV) Each question carries 3 marks [ 2 x 3 = 6]

14) Show by long division that x-3 is a factor of 2x4 + 3x3 -26x2 -5x + 6

15) Verify if -3 and 4 are zeros of the polynomial 2x3 -3x2 -23x +12. If yes then factorise

the polynomial.

Worksheet-1

Worksheet-2

Worksheet-3

TEST

Question 1-3 each carries 1 mark (3 x 1 = 3)

1) Is it possible to construct a triangle with lenghts of its sides 6cm, 4cm and 8cm? Give reason for your answer

2) In ∆ABC , ∠A= 650 , ∠C = 300. which side of this triangle is the longest? Give reason for your answer.

3)It is given that ΔABC ΔDEF . Is it true to say that AB=EF?Justify your answer.

Question 4-7 each carries 2 marks (4 x 2 = 8) 4) Prove the triangles ΔABC and ΔEDC are congruent. State the congruence condition

5)ABC and ADC are two isoceles triangles on the same base BC. Show that ∠ABD = ∠ACD

6)Prove the triangles RTS and XYZ are congruent.State the congruence condition .

7)Sides AB and AC of ΔABC are extended to points P and Q respectively. Also ∠PBC < ∠QCB. Show that AC > AB.

Question 8-10 each carries 3 marks ( 3 x 3 = 9)

8) If the bisector of an angle of a triangle bisects the opposite side. Prove that the triangle is isosceles

9) In a right triangle , prove that the line segment joining the midpoint of the hypotenuse to the opposite vertex is half of the hypotenuse.

10) Prove that sum of any two sides of a triangle is greater than twice the median with respect to third side

Worksheet-1

Worksheet-2

MULTIPLE CHOICE QUESTIONS

Worksheet-3

Unit test

1. If the mean of 2, 4, 6, 8, x, y, is 5 then find the value of x + y. 2. Write the class mark of 90-110 group. 3. If the ratio of mean and median of a certain data is 2:3, the find the ratio of its

mode and mean 4. Tally marks are used to find…………. 5. The following marks were obtained by the students in a test.

81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62 What is the range?

6. The mean of 10 numbers is 20, if 5 is subtracted from every number, what will be the new mean.

7. Calculate the mean for the following distribution. X 5 6 7 8 9 Y 4 8 14 11 3

8. The mean of 5 numbers is 18. If one nu8mber is excluded, their mean is 16, find the excluded number.

9. Construct a histogram for the following data: 30-60 60-90 90-120 120-150 150-180 5 12 14 18 10

10. Find the value of x and y in following distribution if it known that the mean of the distribution is 1.46

No. of accidents 0 1 2 3 4 5 Total

Frequency 46 x y 25 10 5 200

Unit test

1. ABC is a triangle in which L is the mid point of AB and N is a point on AC such that AN=2NC.A line through L, parallel to BN meets AC to M. Prove that AM=NC

2. Two adjacent angles of a parallelogram are in the ratio 4: 5.Find all the angles of the parallelogram.

3. If one angle of a parallelogram is 24 less than twice the smallest angle, find all the angles of the parallelogram.

4. In a quadrilateral ABCD if angleA + angleB =210 and angleC : D = 2 : 3,then find angleC and angleD.

5. If a diagonal of a parallelogram bisects one of its angles, show that it is a rhombus.

6. Two opposite angles of a parallelogram are (5x-20) and (70-4x) .Find the measure of all angles of the parallelogram.

7. ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the angles of the rhombus.

8. Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

9. Prove that the line joining the mid points of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

10. E and F are respectively the mid points of the non-parallel sides AD and BC of a trapezium ABCD. Prove that EF is parallel to AB and EF =1/2(AB + CD).

Test

1. Prove that parallelograms on the same base and between the same

parallels are equal in areas. Hence prove the following: Diagonals

AC and BD of trapezium ABCD with AB is parallel to DC intersect

each other at point O. Prove that ar( .

2. D, E and F are the mid-points of the sides BC, CA and AB

respectively of Prove that BDEF is a parallelogram whose

area is half of that of

3. ABCD is a parallelogram and O is any point in its interior. Prove

that ar( .

4. Diagonals AC and BD of a quadrilateral ABCD intersect each

other at P. Show that ar(

5. If the medians of ABC intersect at G, show that ar(

unit test

1. Construct an angle of 45 at the initial point of a given ray and justify the construction.

2. Construct a PQR base with QR = 3.8 cm, angleQ =75 and PQ + PR = 7.9 cm,

3. Construct a PQR with base QR = 3.4 cm, angle R = 75 and PR –PQ = 1.2 cm.

4. Construct an equilateral triangle with sides 4cm. 5. Construct an angled 135 at the initial point of a line

segment PQ of length 5cm. 6. Construct an angle 105 at the initial point of a line

segment PQ of length 4cm. 7. Construct a right triangle whose base is 12cm and sum of

its hypotenuse and other side is 18cm.

Test Deposit your answers in this question bank

1. An underground water tank is in the shape of cube of side 7m. What will be its volume?

2. What will be volume of a box whose length 16cm, breadth 8m and height is 5m?

3. The volume of a cube is 27a3. Find the length of its edge? 4. The volume of cube 1331cm3. Find the length of its edge? 5. The length of diagonal of a cube is 17.32cm. Find the volume of

that cube? 6. How many solid spheres of 2/3 cm radius can be made from a

solid sphere of 2cm radius? 7. If the volume and surface area of a sphere is numerically same

then what will be its radius 8. The curved surface area of a cone is 140 cm2. What will be the

radius of cone whose slant height is 5cm. 9. The radius of a solid sphere is 12cm.how many spheres can be

made from it of 6cm radius?

test – 1 (Number system)

Section – A (Each one carries one mark) 5 x 1 = 5

1. Is every integer a rational number? Give reason.

2. Divide 16 by

3.

= ----------

4. Find 6 rational numbers between 3 and 4.

5. Represent – 1 on number line.

Section – B (Each one carries one and half marks) 6 x 1 ½ = 9

6. Express 0.88888….. as a form of

7. Visualize 3.76 on the line using successive magnification.

8. Find two irrational number between 2 and 3.

11. Represent on number line.

10. If x = (7+5 ), then x2 +

= ?

11. Simplify ( 2 + ) ( 3 + )

Section – C (Each one carries two marks) 3 x 2 = 6

12. If

= (a + b ), find the values of a and b.

13. If x =

, y =

, find the value of ( x2 + y2)

14. Find the value of geometrically

OR

Simplify

+

Worksheet

1. The angles of a quadrilateral are in the ratio 1:2:3:4. Find the angles of the quadrilateral.

2. Prove that the area of a triangle is half the product of its base and corresponding height.

3. Prove that parallelogram on the same base and between same parallels are equal in area.

4. The diagonal of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC at Q. show that PQ divides the parallelogram into two parts of equal area.

5. A point O inside a rectangle ABCD is joined to the vertices. Prove that ar( AOB) ar( COD)=(1/2)ar ( gm ABCD).

6. The side AB of a parallelogram ABCD is produced to any point. A line through A parallel to CP meets CB produced in Q and the parallelogram PBQR is completed. Show that ar( gm ABCD)=ar( gm BRPQ).

7. Prove that parallelograms on the same base and having equal areas lie between the same parallels.

8. Prove that ar( AFG)-1/2ar(BDEF). 9. Find the area of PQR given that the area of the parallelogram PQRS is

25cm2. 10. Show that the area of the trapezium is half the product of sum of

parallel sides and the perpendicular distance between parallel sides.

Worksheet

1. Draw an angle of 110 with the help of a protractor and bisect it using ruler and compass. Write the measure of each part.

2. Draw a line segment of length 7cm. Bisect it using ruler and compass. Write the measure of each part.

3. Construct an angle of 221/2 with the help of ruler and compass. 4. Draw an angle of 80 with the help of a protractor. Then

construct an angle of 160 5. Construct a triangle with perimeter 10 cm and base angles 60

and 45 . Write the steps of construction. 6. Construct a triangle with base length 5 cm, the sum of the other

two sides is 7 cm and one base angle is 60 . 7. Construct a ABC in which BC = 4.8 cm, angle B =75 and AB +

AC = 9.8cm. 8. Construct a ABC in which BC 4.8 cm, angle B = 45 and AB –AC

= 2.5 cm. Also write steps for construction. 9. Construct a ABC with angle ABC = 60 and AB+BC+CA=12cm.

Also write steps for construction.

Worksheet

1. The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.

2. Curved surface area of a right circular cylinder is 4.4m2. If the radius of the base of the cylinder is 0.7m, find its height,

3. Find the total surface area of a cone, if its slant height is 21m and diameter of the base is 24m. Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 21cm.

4. The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

5. Find the radius of a sphere whose surface area is 154cm2.

6. A match box measures 4cm x 2.5cm x 1.5cm.What will be the volume of a packet containing 12 such boxes?

7. A cubical water tank is 6m long, 5m wide and 4.5m deep. How many litres of water can it hold?

8. The capacity of cubical tank is 50000 liters of water. Find the breadth of the tank, if its length and depth are respectively 2.3m and 10m.

9. The height and the slant height of a cone are 21cm and 28cm respectively. Find the volume of the cone.

10. If the volume of a right circular cone of height 9cm is 48 cm3,find radius of the base.

11. Find the volume of a sphere whose surface area is 154cm2.

12. How many litres of milk can a hemispherical bowl of diameter 10.5cm hold?

Worksheet (Number system)

I. Here is the Puzzle, Use your mind muscle to solve this:

Across

3. A number whose decimal expansion is terminating or non-terminating recurring

4. The set of natural numbers, zero and negative of natural numbers.

6.The number system in which all numbers can be written by using only ten digits 0,1,2,……..9

Down:

1. the Greek mathematician who was the first to compute digits in the decimal expansion of

2. number of integers.

5. A number either rational or irrational.

1

2 3

5

4

6

II. Watch, Catch and then match:

S.No Column I Column II 1 0.140140014000….. A whole number greater than one that has no factors

other than one and itself 2 1.333…… The union of rational numbers and & irrational

numbers 3 A number which can be written in the form of

4 Natural numbers The set of natural numbers, zero & negative of natural numbers

5 Whole numbers The counting numbers 1,2,3……. 6 Prime numbers The counting numbers 1,2,3… and zero taken together 7 Integers A number which cannot be written in the form of

8 Rational numbers 9 9 Irrational numbers Irrational

10 Real numbers Rational Write, You are Right !! (answers)

S.No Column I Column II 1 0.140140014000….. 2 1.333…… 3 4 Natural numbers 5 Whole numbers 6 Prime numbers 7 Integers 8 Rational numbers 9 Irrational numbers

10 Real numbers

III. kindly drop me on number line, the following number says:

1.

2.

3.

Worksheet-1

1)If angles formed in a straight lines is 2:1 . Find the angles

2)The measure of an angle is 8 times its complement. Find the angles.

3)If the measure of an angle is thrice the measure of its supplementary angle, then find the measure of angle.

4) Two angles of a triangle are equal and the third angle is greater than each of these angles by 300. Find the angle of the triangle.

5) one of the angles of a triangle is 750 , find the remaining angles if their difference is 350.

6)Prove that if one angle of a triangle is equal to the sum of the other two angle, then the triangle is right angled.

7) Find the measure of angle which is (i) on-fourth of its complement (ii) four times of its supplement

8)An exterior angle of a triangle is 1100 and its two interior opposite angles are equal. Find each of these equal angles.

9)In a ∆ABC, ∠A + ∠B = 1100, ∠C + ∠ A = 1350 . Find ∠A.

10) If angles of a triangle are in the ratio 3:7:8 . Find the angles. A B

11) AB‖ DC and AD‖BC. Prove that ∠ DAB = ∠ DCB

C D

12) AOB is a straight line.find the value of x. C

∠ AOC = 3x-200 ∠ BOC = 2x + 100

A O B

a) Find the missing angles based on linearpair

b) Find the missing angles

Worksheet-2

Worksheet-3