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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WORK SHEET (VIII kb) EQUATIONS

WORK SHEET (VIII kb)

EQUATIONS

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Form the equations for the following statements and find solutions

1. One more than twice of a number is 9
2. 4 less than 6 times a number is 58.
3. 7 taken away from 5 times a number is 67.
4. Sum of three consecutive natural numbers is 78.
5. A number is multiplied by 13 is 312.
6. The perimeter of a triangle is 49cm and one side is 7cm more than the second side and 5cm less than third side find three sides.
7. Which number is divided by 3 gives 50?
8. Perimeter of a rectangle 50 cm. one side is 5 meter more than the other. Find the sides.
9. The sum of three consecutive negative numbers is - 54 what are the numbers.
10. Among three consecutive odd numbers, the sum of the first and last number is 26. What are the numbers?
11. The number got by adding 10 to 4 times a number is 5 less than 5 times that number, what is the number.
12. One angle of a triangle is the sum of its other two angles. The two smaller angles are in the ratio 2:3 .what are the angles of a triangle.
13. The price of a chair is 1250 rupees less than price of table. Total price is 6250 rupees.
14. The length of a room is 2 ½ times the breadth. The perimeter of the room is 70m what are the length and breadth.