Revision work sheet 1ST TERM VIII KB

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Revision work sheet 1ST TERM VIII KB

1. One angel of a triangle is equal to sum of the other two angles of that triangle. The two smaller angles are in the ratio 4:5. What are the angles of triangle?
2. 6 times a number is equal to 4 times the sum of the number and 3 what the number is.
3. Ajayan is ten years older than Vijayan , after two years Ajayan’s age will 3 times that of vijayan’s age what are their ages now.
4. The sum of three consecutive natural numbers is 72 what are the numbers.
5. Can sum of three consecutive odd numbers be 54? Why?
6. A square of nine numbers marked in a calendar. The sum of all these numbers is 171. What are the numbers?
7. The sum of three odd numbers is 69. What are the numbers?
8. Length of rectangle is 12cm more than its breadth. Its perimeter is 64 cm find out length and breadth.
9. The length of a room is   2 14  times the breadth. The perimeter of the room is 84 meters. What are the length and breadth of the room.
10. Half a number added to the number gives 111. What is the number?
11. The sum of the angles of a polygon is 4680 0.     

1. Find number of sides.
2. Find sum of the angles if two side less.

12. Prove that sum of exterior angles of triangle is 3600    
13. Find unknown angles.

14. Is the sum of the outer angles of at three vertices of a pentagon equal to the sum of the inner angles of other two vertices?
15. One angle of a regular polygonis 1440 how many sides does it have? Find  each outer angle .
16. Drow a hexagon of equal sides and unequal angles.
17. The figure shows the regular hexagon ,regular pentagon and an equilateral triangle

18. In  regular hexagon ABCDEF , prove that ACDF is a rectangle.

revision 1 st term 7th

revision 2 7th

 1.      Find the values using appropriate identities.

a.      ^{[6 1/2  ] 2    -   [5 1/2  ] 2}            

b.     50.3²  

c.      105²

d.     ^{[30 1/2  ]  2}  

e.     10.2²

f.       198²

g.     197  ×  298

h.     168² - 162²

i.       26.5   ×  23.5

j.       224  ×  176    -   226  × 176

k.     (2X -  3Y) × (3X -  2Y)

l.       (2X +  3Y)²

1.     Take nine numbers forming a square in a calendar and mark the four numbers at the corners.   add the squares of diagonal pairs and find the difference of the sums. Explain the general principle using algebra.
2.   Take any four consecutive natural number find difference of the product of first and last and middle two. Explain general principle using algebra
3.     Fill in the blank column

x	y	z	X+ y	XZ	YZ	(X+Y)z	XZ + YZ
1	-1	3
-1	1	-2
3	-2	1
-2	3	-1

          Write the general principle of the above

      4. .  Find y  when x =    - 1/4      , - 1/2  ,  2     

a.      Y  =   1/(x-1)   +   1/(x+1)  

b.       Y  =  (x+2)/(x-1)

 c.      Y= 2x² + 3x  -  1

    d.      Y =  X²  +  2X  - 1

5.     If x = 2 ,y = -1   find z

                   Z  =  X²  +  2X Y – Y²

revision worksheet VIII KB

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