1 Find five rational numbers between
8
3
7
7
3
2 km from a place P, towards east and then from there 1
7
will he be now from P?
4 Write any 3 rational numbers between –2 and 0.
5 Write.
6 Write five rational numbers which are smaller than 2.
7 Draw a line AB and draw another line CD parallel to AB at a distance of 3.5 cm from it.
8 Draw PQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?
9 Construct a triangle PQR, given that PQ = 3 cm, QR = 5.5 cm and PQR = 60°.
10 Examine whether you can construct DEF such that EF = 7.2 cm, mE = 110° and mF = 80°. Justify
your answer.
11 Construct a right-angled triangle whose hypotenuse measure 5.6 cm and one of whose acute angles measures
300.
12 The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of
the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.
13 Find the height ‘x’ if the area of the parallelogram is 24 cm2 and the base is 4 cm.
14 Find the area of the following triangles.
15 The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move
in 1 hour. (Take = 3.14)
16 If Rs 250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and
Roy five parts. How much money will each get? What will it be in percentages?
17 The number of illiterate persons in a country decreased from 150 lakhs to 100 lakhs in 10 years. What
is the percentage of decrease?
18 An article was sold for Rs 250 with a profit of 5%. What was its cost price?
19 Rs 3,500 is given at 7% p.a. rate of interest. Find the interest which will be received at the end of two years.
20 In what time will Rs. 1600 amount to Rs. 1768 at 6% per annum simple interest?
Class VI
1.Locate Harappan cities on the outline map of India
2. Draw the picture of any two landforms and describe them
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Winter break homework of class VII maths
1 Give a proper fraction :
whose numerator is 5 and denominator is 7.
whose denominator is 9 and numerator is 5.
whose numerator and denominator add up to 10. How many fractions of this kind can
you make?
whose denominator is 4 more than the numerator.
2 Fill up using one of these : ‘>’, ‘<’ or ‘=’
3 Sohan was putting covers on his note books. He put one fourth of the covers on
Monday. He put another one fourth on Tuesday and the remaining on Wednesday.
What fraction of the covers did he put on Wednesday?
4 My elder sister divided the watermelon into 16 parts. I ate 7 out them. My friend ate
4. How much did we eat between us? How much more of the watermelon did I eat
than my friend? What portion of the watermelon remained?
5 Express as rupees using decimals.
15 paise
175 paise
270 paise
13 cm
5 cm
9 m
85 m
8 Express as kg using decimals.
12 g
190 g
3 kg 8 g
6 kg 50 g
9 Lata spent Rs 9.50 for buying a pen and Rs 2.50 for one pencil. How much money did
she spend?
1
0
Samson travelled 5 km 52 m by bus, 2 km 265 m by car and the rest 1km 30 m he
walked. How much distance did he travel in all?
1
1
Radhika’s mother gave her Rs 10.50 and her father gave her Rs 15.80, find the total
amount given to Radhika by the parents.
1
2
Subtract :
(b) 202.54 m from 250 m
Rs 5.36 from Rs 8.40
2.051 km from 5.206 km
0.314 kg from 2.107 kg
1
3
Find the value of : (a) 9.756 – 6.28 (b) 21.05 – 15.27 (c) 18.5 – 6.79 (d) 11.6 – 9.847
1
4
Find the sum in each of the following : (a) 0.007
+ 8.5 + 30.08
1
5
Alok purchased 1kg 200g potatoes, 250g dhania, 5kg 300g onion, 500g palak and 2kg 600g
tomatoes. Find the total weight of his purchases in kilograms.
1
6
Length and breadth of a rectangular field are 50 m and 15 m respectively. Find the
ratio of the length to the breadth of the field.
1
7
There are 45 persons working in an office. If the number of females is 25 and the
remaining are males, find the ratio of :
The number of females to number of males.
The number of males to number of females.
1
8
Ratio of distance of the school from Mary’s home to the distance of the school from
John’s home is 2 : 1.
Who lives nearer to the school?
Complete the following table which shows some possible distances that Mary and
John could live from the school.
If the ratio of distance of Mary’s home to the distance of Kalam’s home from school is
1 : 2, then who lives nearer to the school?
1
9
Check whether the given ratios are equal, i.e. they are in proportion. If yes, then write
them in the proper form.
1. 1 : 5 and 3 : 15
2. 2 : 9 and 18 : 81
3. 15 : 45 and 5 : 25
4. 4 : 12 and 9 : 27
5. Rs 10 to Rs 15 and 4 to 6
2
0
What will be the cost of 8 kg of wheat?
What quantity of wheat can be purchased in Rs 61?
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Class VII
Sub-SST
Paste any five pictures of monument or buildings constructed in Mughal period
write few points of these buildings.
# state of location #material used in construction
#speciality of this building
#name the king under whose reign it is constructed
2. Make a collage of various vegetation and animals found in different area in India.
Winter break homework of class VIII maths
1 Rahul bought a sweater and saved Rs 20 when a discount of 25% was given. What was the price of
the sweater before the discount?
2 75% of what number is 15?
3 My mother says, in her childhood petrol was Re 1 a litre. It is Rs 52 per litre today. By what
Percentage has the price gone up?
4 Anita takes a loan of Rs 5,000 at 15% per year as rate of interest. Find the interest she has to pay at
end of one year.
5 A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are
18 in number. The picnic site is 55 km from the school and the transport company is charging at the
rate of Rs 12 per km. The total cost of refreshments will be Rs 4280. Find the
ratio of the number of girls to the number of boys in the class?
cost per head if two teachers are also going with the class?
If their first stop is at a place 22 km from the school, what per cent of the total
distance of 55 km is this? What per cent of the distance is left to be covered?
6 A shop gives 20% discount. What would the sale price of each of these be? (a) A dress marked at Rs 120 (b) A
pair of shoes marked at Rs 750 (c) A bag marked at Rs 250
7 Aditi allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the
cost price of a shirt marked at Rs. 850?
8 A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What
is the cost price for the shopkeeper on a pair of shoes marked at Rs. 1120?
9 Add
2. 7mn + 5, 12mn + 2, 9mn – 8, – 2mn – 3
3. a + b – 3, b – a + 3, a – b + 3
4. 14x + 10y – 12xy – 13, 18 – 7x – 10y + 8xy, 4xy
5. 5m – 7n, 3n – 4m + 2, 2m – 3mn – 5
10 Construct
2 polynomials with 4 or more term
11 Subtract: 3a (a + b + c ) – 2 b (a – b + c) from 4c ( – a + b + c )
12 Simplify
(ii). (x + y)(2x + y) + (x + 2y)(x – y)
(iii). (a + b + c)(a + b – c)
13 Using the formula of (a + b)2, find (i) (2x + 3y)2 (ii) 1032
14 Using identities, evaluate.
(i) 722 (ii) 1992 (iii) 1032 (iv) 9992 (v) 5.12
(vi) 296 × 304 (vii) 77 × 83 (viii) 9.22 (ix) 10.5 × 9.5
15 Simplify: 4xy(x – y) – 6x2(y – y2) – 3y2(2x2 – x) + 2xy(x – y).
16 The circumference of the base of a cylinder is 176 cm and its height is 65 m. Find its curved surface
area and total surface area of the cylinder.
17 An aquarium is in the form of a cuboid whose external measures are 40 cm × 15 cm × 20 cm. The
base, side faces and back face are to be covered with a coloured paper. Find the area of the paper
needed?
18 The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move
once over to level a playground. Find the area of the playground in m2.
19 A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12
such boxes?
20 The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and
depth are respectively 2.5 m and 10 m.

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Winter vacation homework: Physics
1.Complete the sent worksheet from chapter sound and Reproduction in animals.
2.Design any musical instruments model, such as tabla, Guitar or other which are based on string and vibration.
All students must to the homework, and if any doubts is there you can ask to me.
HOLIDAY HOMEWORK FOR WINTER BREAKS
SUBJECT :- SOCIAL STUDIES
PRACTICE THESE MAPS
Winter break homework of class IX maths 1 In the below figure A, B and C are three points on
a circle such that angles subtended by the chords AB and AC at the centre O are 800 and 1200
respectively. Determine BAC.
2 In the above right-sided figure, P is the centre of the circle. Prove that XPZ = 2 (XZY + YXZ).
3 In the below figure ABCD is a cyclic quadrilateral,
O is the centre of the circle. If BOD = 1600, find
BPD.
4 In the below figure, AB is a diameter of the circle,
CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E.
Prove that AEB = 60°.
5 In the above right-sided figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.
If DBC = 55° and BAC = 45°, find BCD.
6 In the below figure, AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD,
respectively. If POQ = 150, then find APQ.
7 In the above right sided figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then find CD.
8 In the below figure, AOC is a diameter of the circle
and arc(AXB) = 2
1 arc(BYC). Find BOC
9 A roller 150 cm long has a diameter of 70 cm. To level a playground it takes 750 complete revolutions.
Determine the cost of leveling the playground at the rate of 75 paise per m2.
10 A river, 3 m deep and 40m wide, is flowing at the rate of 2km/hr. How much water will fall into the sea in a minute?
11 Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?
12 Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of the tiles is Rs 360 per dozen.
13 A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?
14 A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between.
15 The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
16 The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such
17 Construct a triangle ABC in which BC = 3cm, B = 30° and AB + AC = 5.2 cm.
18 Construct a triangle ABC in which BC = 7.5 cm, B = 45° and AB – AC = 4 cm.
19 Construct a triangle PQR in which QR = 6cm, Q = 60° and PR – PQ = 2cm.
20 Construct a triangle XYZ in which Y = 30°, Z = 90° and XY + YZ + ZX = 11 cm.


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Winter Holiday homework of Class IX. SCIENCE
Prepare a Art Integrated project based on states of Manipur and Nagaland.
1.Study the natural resources of Nagaland and Manipur and make a project either in the form of ppt,
video or written project.
2. Solve a sample paper shared to you in your whatsapp group.
Class IX
description topics
#culture
#vegetation and animals #important places and buildings of this state
2. Locate any 10 European countries on the outline map of Europe.
3. Draw all three rivers systems on the map of India.


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Holiday homework of Class X SCIENCE
Prepare a art Integrated project of Science based on the states of Manipur and Nagaland. Your
project can be presented in any of the format as is shared in your whatsapp group. You are free to
choose any Science related topic from the state of Manipur and Nagaland.... But very important is....
Try to emphasize on research of new topic. For your presentation , use the local materials used .
Class X
description topics
#culture
#vegetation and animals #important places and buildings of this state
2.Solve two sample papers of SST.
WINTER BREAK HOMEWORK
SUBJECT – MATHEMATICS
CLASS- XI
Class- XI
1) Write 3 Activities in maths practical notebook.
2) Complete two given project in one file according to given instructions.
3) Revision of recently completed chapter straight lines and discuss your
doubts in class during WINTER BREAK. Class Test will be conducted in
this chapter during WINTER BREAK.
Class 11 Economics holiday home work
, 5
Physics Winter vacation homework
1.Design a toy Rocket Model or Satellite Model. Write it's working and principle.
2.Revise the chapter gravitation and Mechanical properties of solid. Make important points.
WINTER BREAK HOMEWORK
SUBJECT – MATHEMATICS
1) Write 3 Activities in maths practical notebook.
2) Complete two given project in one file according to given instructions.
3) Revision of recently completed chapter straight lines and discuss your
doubts in class during WINTER BREAK. Class Test will be conducted in
this chapter during WINTER BREAK.
Class- XII
1) Write 5 Activities in maths practical notebook.
2) Complete one given project in one file according to given instructions.
3) Revision by 5 sample papers and doubts solving session during WINTER
BREAK in Remedial/ Extra Classes. Class Test will be conducted in this
chapter during WINTER BREAK.