Enhanced Curriculum Support
This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:
1.Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.
2.Critical Thinking and Reasoning: Value-Based and HOTS questions promote critical thinking and reasoning abilities. These skills are crucial for students to tackle complex problems and make informed decisions.
3.Exam Preparedness: Sample Question Papers and NCERT Exemplar Solutions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
4.Ethical and Moral Development: Value-Based Questions integrate ethical and moral lessons into the learning process, helping in the overall development of students' character and social responsibility. By incorporating these diverse elements, Enhanced Curriculum Support aims to provide a robust and well-rounded knowledge, preparing students for both academic success and real-world challenges.
Sec A
1. Find the area of a rectangle with a length of 5 cm and a width of 3 cm.
2. What is the perimeter of a square with a side length of 4 cm?
3. A square park has a side length of 12 meters. Calculate the perimeter of the park.
4. The side length of a square field is 9 m. Calculate both the perimeter and area of the field.
5. A triangular flower bed has side lengths of 6 m, 8 m, and 10 m. Calculate the perimeter of the flower bed.
7. A triangle has sides of 5 cm, 6 cm, and 7 cm. Find its perimeter.
8. A rectangular garden is 20 m long and 15 m wide. Find its perimeter.
9. How many centimeters make 1 meter?
Sec B
1. A rectangle has a length of 10 cm and a width of 4 cm. Calculate the area and perimeter of the rectangle.
2. A rectangular field has dimensions of 40 meters by 25 meters. Calculate the perimeter of the field and the cost of fencing it at ₹12 per meter.
3. A square park has a side length of 15 meters. A path of 1 meter width is built around the park. Calculate the area of the path.
4. The sides of a triangular plot are 13 m, 14 m, and 15 m. Find the perimeter of the plot. If a fence costs ₹10 per meter, what will be the total cost to enclose the plot?
5. The length of a rectangular field is 25 m, and its width is 10 m. Calculate the cost of fencing the field at ₹12 per meter.
6. A square and a rectangle have the same perimeter. If the side of the square is 6 m and the rectangle's length is 8 m, find the rectangle's breadth.
7. A rectangle has an area of 96 m² and a length of 12 m. Find its width.
8. A classroom is 8 m long and 6 m wide. Calculate the area of the floor.
Sec C
1.A triangle has a base of 6 cm and a height of 4 cm. Calculate the area of the triangle. Also, find the perimeter of the triangle if the other two sides are 5 cm each.
2. A swimming pool is in the shape of a rectangle measuring 12 m by 8 m. There is a path of width 1 m around the pool. Calculate the area of the path.
3. A rectangular field has a length of 48 meters and a width of 30 meters. Calculate.
(a) The perimeter of the field.
(b) The area of the field.
(c) The cost of fencing the field at ₹15 per meter.
5. A square garden has a side length of 25 meters. Calculate.
(a) The perimeter of the garden.
(b) The area of the garden.
(c) The cost to plant grass in the garden at ₹20 per square meter.
6. A floor is in the shape of a rectangle with a length of 15 meters and a width of 10 meters. Calculate.
(a) The area of the floor.
(b) The perimeter of the floor.
(c) The total cost of tiling the floor if each square meter of tile costs ₹50.
7. The length of a rectangle is 15 m, and its breadth is 10 m. Find the area and the cost of painting it at ₹5 per square meter.
8. The area of a rectangle is 144 cm², and its length is 16 cm. Find its breadth and perimeter.
Sec D
1.A rectangular field is 20 m long and 15 m wide. A path of width 2 m is built around the field. Calculate the area of the field and the area of the path.
2. A cylindrical water tank has a radius of 3 m and a height of 5 m. Calculate the volume of the tank. Also, find the surface area of the tank. (Use π = 3.14)
3. A square park has a side length of 30 meters. Calculate.
(a) The perimeter of the park.
(b) The area of the park.
(c) The cost of constructing a boundary wall around the park at ₹18 per meter.
(d) If a flower bed covering 200 square meters is added inside the park, calculate the area of the park left for other activities.
4. A triangular plot of land has sides measuring 40 meters, 50 meters, and 60 meters. Calculate.
(a) The perimeter of the plot.
(b) If the height corresponding to the 50-meter side is 24 meters, calculate the area of the plot.
(c) The plot is divided into three equal parts for different crops. Find the area of each part.
(d) If each part needs fencing at ₹20 per meter, calculate the total cost of fencing all three parts.
5. A rectangular plot of land is 120 m long and 80 m wide. A road 5 m wide runs inside it along its border. Find the area of the road and the remaining area of the plot.
6. The perimeter of a rectangle is 90 m. If its length is 25 m, find its breadth and area.
7. The base of a triangle is 8 cm, and its height is 6 cm. If the triangle is scaled up such that its dimensions are doubled, find the new area.
8. A rectangular playground is 80 m long and 60 m wide. A walking track of 2 m width is built around it. Find the area of the track.
Problem 1
A rectangular garden has a length of 12 meters and a breadth of 5 meters. Find the perimeter of the garden. How can creating such gardens in the community help improve the environment?
Problem 2
A rectangular playground has a length of 15 meters and a breadth of 8 meters. Find the side of the square that has the same perimeter as the playground. How can this playground be used to promote healthy activities for children?
Problem 3
A rectangular swimming pool has a length of 20 meters and a breadth of 10 meters. Find the perimeter of the pool. How can swimming regularly in such a pool contribute to fitness and well-being?
Q1
A rectangular classroom has a length of 9 meters and a breadth of 6 meters. The school plans to cover the floor with tiles, each of which is a square with a side length of 0.5 meters. Find how many tiles are needed to cover the entire floor. How does the efficient use of resources, like tiles, help in managing the school's budget?
Q2
A rectangular field has a length of 30 meters and a breadth of 12 meters. The field is to be divided into smaller square plots of equal size for planting. Find the side of the largest square plot that can fit into the field without leaving any leftover space. How can such divisions help in optimizing land usage for agriculture or community projects?
Questions
1.What is the perimeter of a square with a side length of 5 cm?
2. Calculate the perimeter of a rectangle with a length of 8 cm and a breadth of 6 cm.
3. Find the perimeter of an equilateral triangle with each side measuring 7 cm.
4. A rectangular garden has a length of 15 m and a width of 10 m. What is its perimeter?
5. The side length of a hexagon is 4 cm. What is the perimeter of the hexagon?
6. A triangle has side lengths of 5 cm, 6 cm, and 7 cm. What is its perimeter?
7. Find the perimeter of a pentagon if each side is 9 cm.
8. How much fencing is needed to enclose a rectangular field with a length of 20 m and a breadth of 15 m?
9. A rectangular park has a length of 50 m and a width of 30 m. What is its perimeter?
10. A square playground has a side length of 12 m. Calculate its perimeter.
11. A garden is in the shape of a rectangle with dimensions 25 m by 10 m. Calculate both its perimeter and area.
12. A square carpet has a side length of 7 m. What are its perimeter and area?
13. A farmer wants to fence a rectangular field of length 30 m and width 20 m. Calculate the amount of fencing required and the area of the field.
14. A rectangular playground is 100 m long and 50 m wide. Find the perimeter and area of the playground.
15. Calculate the perimeter and area of a square tile with a side length of 12 cm.
16. A rectangular classroom has a length of 8 m and a width of 5 m. What are its perimeter and area?
17. A square garden bed has a side of 4 m. Find its perimeter and area.
18. If the side of a square is doubled, how does its area change? Explain with an example.
19. A rectangular swimming pool is 25 m long and 10 m wide. Calculate the perimeter for fencing and the area for tiling the pool floor.
20. A square and a rectangle have the same perimeter of 24 cm. If the square has a side length of 6 cm, find the area of both shapes.
Q1
Anita has a rectangular backyard garden that is 15 meters long and 10 meters wide. She wants to place a fence around the garden and then cover the entire garden area with grass.
1. What is the perimeter of Anita's garden? (This will help her determine the length of fencing needed.)
2. What is the area of the garden? (This will help her calculate the total area to be covered with grass.)
3. If the fencing costs ₹20 per meter, what will be the total cost of the fence?
4. If planting grass costs ₹5 per square meter, what will be the total cost of covering the garden with grass?
Sol 1
Solution :
1. Perimeter of the Garden:
Perimeter = 2 × (Length + Width) = 2 × (15 + 10)= 2 × 25 = 50 meters
2. Area of the Garden:
Area = Length × Width = 15 × 10 = 150 square meters
3. Total Cost of Fencing:
Cost of Fencing = Perimeter × Cost per meter = 50 × 20 = ₹1000
4. Total Cost of Planting Grass:
Cost of Grass = Area × Cost per square meter = 150 × 5 = ₹750