Area of pathways — methodical recommendation. Mathematics State Board, Class 7.

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Methodical recommendation:

Theory

Number	Name	Description
1.	Area pathways	Foundamental idea about area pathways
2.	Rectangle pathways	Foundamental idea about rectangle pathways

Textbook Questions

Number	Name	Type	Difficulty	Marks	Description
1.	One mark exercise problems	Other	easy	3 m.	Select the correct option for the given questions.
2.	Two mark exercise problems	Other	easy	2 m.	Apply the area of the circular pathway concept and find the required.
3.	Four mark example problems I	Other	medium	8 m.	Check your understanding skills in the concept of circular pathway.
4.	Four mark example problems II	Other	medium	8 m.	Try to answer the given questions.
5.	Four mark example problems III	Other	medium	4 m.	Check your understanding skills in the concept of rectangular pathway.
6.	Four mark example problems IV	Other	medium	4 m.	Apply the concept of rectangular pathway and find the required.
7.	Four mark example problems V	Other	medium	4 m.	Try to find the area of the lobby.
8.	Four mark exercise problems I	Other	medium	8 m.	Check your understanding skills in the concept of circular pathway.
9.	Four mark exercise problems II	Other	medium	8 m.	Check your understanding skills in the concept of rectangular pathway.
10.	Four mark exercise problems III	Other	medium	4 m.	Practice the problem to find the cost of constructing the track in the school ground.
11.	Four mark exercise problems IV	Other	medium	4 m.	Check your understanding skills in the concept of rectangular pathway.
12.	Four mark exercise problems V	Other	hard	4 m.	Check your understanding skills in the concept of rectangular pathways.
13.	Four mark exercise problems VI	Other	hard	4 m.	Practice the problem to find the area of the rectangular pathway.
14.	Four mark exercise problems VII	Other	hard	4 m.	Apply the concept of circular pathway and find the required.
15.	Four mark exercise problems VIII	Other	hard	4 m.	Practice the problem to find the area of the rectangular pathway.
16.	Four mark exercise problems IX	Other	hard	4 m.	Apply the concept of circular pathway and find the required.
17.	Four mark exercise problems X	Other	hard	4 m.	Check your understanding skills in the concept of rectangular pathway.
18.	Four mark exercise problems XI	Other	hard	4 m.	Try to answer the given questions.

Practice Questions

Number	Name	Type	Difficulty	Marks	Description
1.	Calculate the area of the circular path	Other	easy	3 m.	Calculate the area of circular pathway if the radius is given.
2.	Determine the area of the park	Other	easy	3 m.	Determine the area of the park if inner and outer area is given.
3.	Find the total area of the floor not covered by the carpet	Other	easy	3 m.	If the inner and outer area is given find the total area of the floor which is not covered by the carpet.
4.	Calculate the cost of constructing the drainage	Other	medium	3 m.	Calculate area if radius is known and hence determine the cost for drainage.
5.	Calculate total area of the margin	Other	medium	4 m.	Calculate the total area of the margin given its length and breadth.
6.	Find the area of the verandah and total cost for cementing the floor	Other	medium	4 m.	Find the area of the verandah and total cost for cementing the floor using the concept of area pathway.
7.	Calculate the area of the path	Other	medium	5 m.	Calculate the area of the path if dimensions and width values are known.
8.	Determine the number of slabs required for the path	Other	medium	5 m.	Calculate the area of the path if its dimensions are known.
9.	Find the area of the canal and also total cost require for to construct canal	Other	hard	5 m.	Calculate the area of the canal and total cost required to construct canal if length and breadth of the canal is given.
10.	Calculate area of the border	Other	hard	5 m.	Calculate the area of the rectangular border if its length and breadth are given.
11.	Calculate total cost of constructing the track	Other	hard	5 m.	Calculate the total cost of constructing the track if radius and width of the place is known.

Key Questions for School Exam Preparation

Number	Name	Type	Difficulty	Marks	Description
1.	Find the area of the circular pathway	Other	medium	2 m.	Check your understanding skills in the concept of circular pathway.
2.	Determine the area of the path	Other	medium	4 m.	Check your understanding skills in the concept of rectangular pathway.

Questions for Teacher Use

Number	Name	Type	Difficulty	Marks	Description
1.	Find the area of the path	Other	easy	3 m.	Predict the area of the circular path if radius is given.
2.	Calculate area of the path	Other	medium	4 m.	Calculate the area of the path if length and breadth are given.
3.	Calculate the area of the grass land that the animal cannot graze	Other	medium	5 m.	Get the area of the grass land using the given tethered rope length.
4.	Area of pathways	Other	easy	1 m.	Apply the area of the circular pathway concept and find the required.
5.	Area of a circular pathway	Other	easy	1 m.	Apply the area of the circular pathway concept and find the required.

Question Bank for Teachers

Number	Name	Recomended time:	Difficulty	Marks	Description
1.	Homework I	00:15:00	easy	7 m.
2.	Homework II	00:20:00	easy	9 m.
3.	Homework III	00:25:00	medium	14 m.
4.	Homework IV	00:30:00	medium	16 m.
5.	Homework V	00:30:00	medium	16 m.
6.	Revision test I	00:30:00	medium	16 m.
7.	Revision test II	00:30:00	hard	18 m.
8.	Revision test III	00:35:00	hard	20 m.
9.	Revision test IV	00:45:00	hard	32 m.
10.	Periodic Assessment	00:10:00	medium	2 m.	PA 2
11.	Bridge Course Demo 2	00:10:00	medium	2 m.

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