**HOLIDAY ASSIGNMENT – QUESTION BANK**

**ALGEBRAIC EXPRESSIONS AND IDENTITIES**

1 / Subtract 5

*x2 – 4y2 + 6y – 3 from 7x2 – 4xy + 8y2 + 5x – 3y*.

2 / 2p2q2 – 3pq + 4, 5 + 7pq – 3p2q2

3 / Subtract 4

*p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p2q*

4 / Obtain the product of: (I) 2, 4y, 8y2, 16y3 (ii) (-10/3pq3)x(6/5p3q)

5 / Simplify a (a2 + a + 1) + 5 and find its value for (i) a = 0, (ii) a = 1 (iii) a = – 1.

6 / Add: 2x (z – x – y) and 2y (z – y – x)

7 / Subtract: 3

*a (a + b + c ) – 2 b (a – b + c) from 4c ( – a + b + c*)

8 / Simplify (a + b) (2a – 3b + c) – (2a – 3b) c.

9 / Multiply the binomials: (2pq + 3q2) and (3pq – 2q2)

10 / Simplify: (i) (

*x + y)(2x + y) + (x + 2y)(x – y) (ii) (1.5x – 4y)(1.5x + 4y + 3) – 4.5x + 12y*

11 / Use the identity (

*x + a) (x + b) = x2 + (a + b) x + ab*to find the following products.

(i)(4

*x + 5) (4x + 1) (ii) (xyz – 4) (xyz*– 2)

12 / Simplify.

(i) (

*a2 – b2)2 (ii) (2.5p – 1.5q)2 – (1.5p – 2.5q)2 (iii) (ab + bc)2 – 2ab2c*

13 / Show that: (

*a – b) (a + b) + (b – c) (b + c) + (c – a) (c + a*) = 0

14 / Using identities find

Using identities, evaluate.

(i) 712 (ii) 9982 (iii) 297 × 303 (iv) 78 × 82 (v) 1.05 × 9.5 (vi) (1.02)2 – (0.98)2 (viii) 103 × 98

**Visualising Solid Shapes**

1 / Using Euler’s formula find the unknown.

Faces ? 5 20

Vertices 6 ? 12

Edges 12 9 ?

2 / Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Mensuration

1 / A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2? (If required you can split the tiles in whatever way you want to fill up the corners).

2 / Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.

3 / The area of a trapezium shaped field is 480 m2, the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side

4 / The area of a rhombus is 240 cm2 and one of the diagonals is 16 cm. Find the other diagonal.

5 / Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

6 / The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs4.

7 / Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

8 / The internal measures of a cuboidal room are 12 m × 8 m × 4 m. Find the total cost of whitewashing all four walls of a room, if the cost of white washing is Rs 5 per m2. What will be the cost of white washing if the ceiling of the room is also whitewashed.

9 / In a building there are 24 cylindrical pillars. The radius of each pillar is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of Rs8 per m2.

10 / Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2.

11 / A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

12 / The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?

13 / A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.

14 / A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder

15 / Find the height of a cuboid whose base area is 180 cm2 and volume is 900 cm3?

16 / A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

17 / A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank?

**Exponents and Powers**

1 / Simplify and write the answer in the exponential form. (25 ÷28)5 × 2– 5

2 / Find m so that (–3)m + 1 × (–3)5 = (–3)7

3 / Evaluate: (5/8)-7 x (8/5)-4

4 / Simplify: (3-5x 10-5x 125)/ 5-7 x 6-5

**Direct and Inverse Proportions**

1 / A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

2 / In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length

of the ship is 28 m, how long is the model ship?

3 / A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time (i) the length of the shadow cast by another pole 10 m 50 cm high (ii) the height of a pole which casts a shadow 5m long.

4 / A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

5 / If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

6 / A farmer has enough food to feed 20 animals in his cattle for 6 days. How long the food last if would there were 10 more animals in his cattle?

7 / A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?

8 / Two persons could fit new windows in a house in 3 days.

(i) One of the persons fell ill before the work started. How long would the job take now?

(ii) How many persons would be needed to fit the windows in one day?

9 / If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?

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**CLASS – VIII sst**

1. **Prepare a project on the topic condition of agriculture in India.**

2. **Prepare a list of high court in India. **

3. **Write four questions from each chapter and give in chapter 5.**

4. **Write a short note on each type of industries given in chapter 5.**

5. **Write a paragraph about the facilities provided by government in your locality.**

**KENDRIYA VIDYALAYA PITHORAGARH**

**WINTER VACATION HOME - WORK (SESSION -2017-18)**

**SUBJECT- ENGLISH **

CLASS VIII

1. **Prepare the taught chapters for annual exam.**

2. **Do one page handwriting daily for 20 days .**

3. **Paste the cutting of a paragraph from any English newspaper in your notebook than underline all new words and find out the meaning of them from dictionary. Write the new words and their meaning in your note book. do it for 20 days .**

4. Write three forms of verb. (100 verbs)

5. Write a paragraph on the given topics.( 80 words each)

i) My Favourite Teacher

ii) Sports and Games

iii) Pollution

iv) My hobby

v) Science : boon or curse

vi) Mahatma Gandhi

vii) Swach Bharat Campaign

viii) My Country

6. Write a biographical sketch of your class teacher .

7. Write three degrees of adjective. (100 adjectives )

8. Define the following terms in detail-

i) Noun

ii) Adjective

iii) Tense

iv) Articles

WINTER VACATION 2017-18

HOME – WORK

CLASS – VIII (SCIENCE)

1-MAKE A QUESTION BANK FROM THE CHAPTERS OF TERM II YOUR TEXT BOOK- 7 QUESTIONS FROM EACH (2QUESTIONS EACH OF VSA(1MARK), SA I(2MARK),,SAII(3MARK)& ONE QUESTION LA (5MARK ) ALONG WITH THEIR ANSWERS .

2- DRAW TWO DIAGRAMS EACH FROM TERM II CHAPTER OF YOUR TEXT BOOK.

3- EXPLAIN KEY WORDS & IMPORTANT DEFINITIONS FROM TERM II CHAPTER (10 FROM EACH CHAPTER).

4- MAKE A POSTER (A3 SIZE PAPER ) SHOWING AWARENESS CAMPAIGN ON ANY ONE-

SWACHHATA ABHIYAAN,DRUG ABUSE, PLANTATION PROGRAM , POLLUTION , GLOBAL WARMING

कक्षा – अष्टमी (संस्कृत)

पठनार्थम् -

1. नवमतः त्रयोदश पाठानां पर्यन्तं शुद्धोच्चारणपूर्वकं पठनम् |

2. संस्कृतकवेः कालिदासस्य परिचयः |

लेखनार्थम् -

1. पाठ्यपुस्तकात् दीर्घः, गुणः, वृद्धिः, यण्, अयादि सन्धीनां लेखनम् |

2. गम्, खेल्, दृश् – धातूनां लट्, लृट्, लङ्, लोट्, विधिलिङ् लकारेषु रूपाणि |

स्मरणार्थम् –

1. नवमतः त्रयोदश पाठानां पर्यन्तं अभ्यास प्रश्नाः |

2. उपर्युक्त शब्दरूपाणि धातुरूपानि च |

3. ‘हिमालायः’ इति पाठस्य श्लोकाः |