NCERT Solutions Class 5 Mathematics Chapter 11 Grandmother's Quilt
NCERT Solutions Class 5 Mathematics Chapter 11 Grandmother's Quilt
NCERT Solutions for Class 5 Mathematics Chapter 11 Grandmother’s Quilt
This worksheet for Class 5 Mathematics Chapter Grandmother’s Quilt introduces students to the concepts of perimeter and area through simple shapes and practical activities. It explains how to measure the boundary of shapes and calculate the space inside them using easy methods like counting unit squares. This chapter is important as it builds a strong foundation for understanding measurement and geometry in higher classes. This worksheet provides complete and accurate NCERT Solutions that strictly follow the chapter content and help students practice effectively.
Chapter summary: stories, poems & themes
This chapter is activity-based and focuses on shapes, patchwork, and real-life applications like covering tables and measuring spaces. It uses examples such as quilts, gardens, and tiles to help students understand how shapes fit together and how area and perimeter are calculated. The main theme is learning through observation, counting, and comparing different shapes. Students explore how different shapes behave when covering surfaces and how their measurements differ.
What this NCERT chapter covers?
• Understanding perimeter as the boundary of shapes
• Learning area as the space inside shapes
• Counting unit squares to calculate measurements
• Identifying shapes that can tile without gaps
• Comparing shapes based on area and perimeter
• Observing how same area shapes can have different perimeters
How to use these NCERT solutions?
Students should first try solving the questions on their own and then use these NCERT Solutions to check their answers. Parents and teachers can guide students step-by-step using the solutions provided in the same order as the worksheet. This helps in better understanding, correction of mistakes, and effective revision. The structured answers make it easy to follow and learn.
Student tips & learning tricks
• Always count boundary edges carefully for perimeter
• Use small squares to calculate area easily
• Remember that shapes with the same area can have different perimeters
• Check whether shapes leave gaps when covering surfaces
• Practice drawing shapes on grids for better understanding
Why NCERT solutions are important?
NCERT Solutions help students build strong basics by following the exact curriculum. They ensure clarity in concepts like area and perimeter, improve problem-solving skills, and boost confidence. These solutions also prepare students for school exams and help them understand concepts in a simple and structured way.
Complete answer key – NCERT solutions
Let Us Do
1.
a). 4 x 5 = 20 cm
b). 5 x 6 = 30 cm
2.
(a) Example rectangles: 10 cm & 3 cm, 8 cm & 5 cm
(b) Example rectangles: 7 cm & 2 cm, 6 cm & 3 cm
3.
Number of patches = 15 x 6 = 90
4.
Triangles, Squares and Rectangles cover the table
Circles leave gaps
5.
t2(2x5) = 20 triangles cover Table 1.
2x4 = 8 squares cover Table 3.
3x4 = 12 rectangles cover Table 1.
6.
No, circles alone do not tile. They leave gaps
7.
20 triangle units.
8 square units.
12 rectangle units.
Activity
Explanation:
Try covering the table using notebooks, lunch boxes, pencil boxes and textbooks. Observe which objects cover completely without gaps.
Answer:
All. As they are rectangular in shape.
Let Us Do
1.
a). Green triangles = 2(9x6) = 108.
b). Big squares with 2 triangles each = 54/9 = 6,
Red triangles = 6x2 = 12.
a). Blue squares = 9x6 = 54
Comparing Shapes
1.
Cannot be determined. As we need length and breadth.
2.
Area A > Area B. As lengths are the same, breadth of A is greater.
3.
Area C > Area B. As breadths are the same, length of C is greater.
4.
Cannot say. We need to measure length & breath.
5.
After putting on square grid. We certainly can.
Area A = 3x4 = 12 Sq units.
Area B = 2x4 = 8 Sq units
Area C = 2x5 = 10 Sq units
Area of (A>C>B). So, A has the largest area.
Let Us Do
1.
Garden A = (2x5) = 10 cm²
Garden B = (3x4) = 12 cm²
(a) Largest leaf: (based on activity)
(b) Smallest leaf: (based on activity)
2.
(a). Area = 6x2 = 12 sq units
Perimeter = 2( 6+2) = 16 units
(b). Area = 6x2 = 20 sq units
Perimeter = 2( 6+2) = 16 units
(c). Area = 3x4 = 12 sq units
Perimeter = 2( 3+4) = 14 units
3.
(a). Area = 6x2 = 12 sq units
Perimeter = 2( 6+1) = 14 units
(b). Area = 5x4 = 20 sq units
Perimeter = 2( 5+4) = 18 units
4.
Trace your palm on the grid and count the squares to estimate the area. Compare with your friend. (student-generated activity)
5.
No. Keeping the area constant length and breadth can be changed.
So, rectangles with the same areas can have different perimeters.
Let Us Explore
1.
(d). Area = 4x3 = 12 sq units
Perimeter = 2( 4+3) = 14 units
(e). Area = 8x1 = 8 sq units
Perimeter = 2( 8+1) = 18 units
(f). Area = 12x1 = 12 sq units
Perimeter = 2( 12+1) = 26 units
(a), (b) and (c), (d) have the same areas and perimeters respectively. But different shapes.
2.
(a). Area = 2x3 + 1 = 7 sq units
Perimeter = 2(3+3) = 12 units
(b). Area = 2x3 + 1 = 7 sq units
Perimeter = 2( 3+3) = 12 units
(c). Area = 1x4 + 3 = 7 sq units
Perimeter = 16 units
(d). Area = 5x1 + 2x1 = 7 sq units
Perimeter = 16 units
(e). Area = 7x1 = 7 sq units
Perimeter = 2( 7+1) = 16 units
(a), (b) have the same areas and perimeters respectively.
(d), (e) have the same areas and perimeters respectively.
Let Us Do
1.
Draw shapes with the same area and compare perimeters. (student-generated activity)
(a). Given rectangle has 2x9 cm
(b). 1x18 cm
(c). 3x6 cm
Let Us Do
1.
(a). Area = 3 x 3 = 9 sq units.
(b). Area = 9 sq units. (counting all the small squares).
Explanation:
Compare both shapes visually using grid or counting squares.
2.
Explanation:
Measure classroom length and breadth. Multiply to get area and add sides for perimeter.
Let Us Do
1.
(a). Area = 6x6 = 36 sq units
Perimeter = 2( 6+6) = 24 units
(b). Area = 7x4 = 28 sq units
Perimeter = 2( 7+4) = 22 units
(c). Area = 12x4 = 48 sq units
Perimeter = 2( 12+4) = 32 units
(d). Area = 3x3 = 9 sq units
Perimeter = 2(3+3) = 12 units
(e). Area = 6x5 = 30 sq units
Perimeter = 2( 6+5) = 22 units
2.
Patchwork: 24 square cm
3.
Breadth = Area / length = 64/16 = 4 m.
4.
Explanation:
Roll a die and pick tiles accordingly. Arrange tiles to form shapes. Calculate perimeter after each move. Continue adding tiles until the perimeter becomes 24. The player who reaches perimeter 24 first wins. (student-generated activity)
5.
Area = 32 x (6+12) = 32 x 18 = 576 sq cm.
6.
Area = 42 x 34 = 1428 m²
Let Us Play
1. Perimeter Game: Roll a die to pick tiles and arrange them into shapes. The player who reaches a perimeter of 24 first wins.(student-generated activity)