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work sheet factoristion VIII Cbse

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worksheet 2 factorisation cbse VIII

       Worksheet 2 (factorization) CBSE VIII

• ·           Factories

a)     Method of common factors

1.     10a²b²    ̶  20 a³b +15 ab³

2.     3x (x²   ̶  25)   ̶   5 (x + 5)

3.     ̶   1/4 a²  +   1/8  a ² b²    ̶   1/16  a³b³  

b)    Method of regrouping

1.     6y + y²  ̶  xy  ̶  6x

2.     x³  ̶   x²z  +  xz²   ̶  z³

3.     x²yz +  xy  + xz + 1

c)     using suitable identity

1.     x ²   ̶     8x  + 16

2.      1/4 + 3x  +  9x²

3.      x²/16    ̶   y²/25

4.     m² + 2mn  +  n²  ̶    a²   

5.        49/4  ̶   7p +  p² 

d)    By splitting the middle term   

1.     P²  ̶   14p  ̶   51

2.     m² + 6m   ̶   16

3.     q²  ̶   8q  + 15

4.     (a+2)²     ̶  10 (a+2)  +  25

5.     3x + 2    ̶   2x²

• ·        Divide : using factorization

1.      ( 144 - 4x²)   Divided by     (2x + 12)

2.     (25 y²  + 36x²  ̶  60xy) divided by (5y - 6x)

3.      (x² + 9x + 20)divided by ( x + 4)

4.      (4x²   ̶   4x   ̶   120)divided by ( x + 5)

Worksheet (mensuration) III term CBSE VIII

Worksheet (mensuration) III term

CBSE VIII

1.    Find the area of the the diagonal of a rhombus are 24cm and 25 cm what is the area?

2.    Area of a trapezium shaped field is 960 sq cm. the distance between two parallel side is 30 cm. and one of the parallel side is 15cm. Find the other parallel side.

3.    A cuboidal box is 60 cm x 70cm x 80cm. find the cost of the cardboard required to make 20 such tins. If the cost of cardboard is Rs. 25 per sq meter.

4.    Internal measures of cuboidal room are 24m x 12m x 14m. Find the total cost of white washing all four walls of room. Of the cost of white washing is Rs. 5 per sq m. what will be the cost of white washing if the ceiling of the room is also white washed.

5.    A godown is in the form of a cuboid of measures 30m X 60 m X 72m how many cubical boxes can be stored in it if the side of one box is 8 cm.(app)

6.    Volume of the cylinder is 588cm³  and height is 7cm find the radius

7.    A rectangular sheet of length 20 cm and breadth 16 cm folded along its length and form a cylinder find the radius and volume of the cylinder

8.    A pipe is in the form of a cylinder with thickness 2cm and inner radius 3 cm and length 12 cm  find the total surface area and volume of iron if density of iron is 0.9gm per cm³      (Hot)

^9.             In a hall there are 16 pillars in the form of a cylinder of radius 145cm and 15m  and 12 pillars in the form a cuboid of dimensions 127cm X 86c m X 15m Find the area of the pillars to be painted if Rs.14 per 2 m ²  (app)              

9TH SA2