NCERT Solutions for Class 5 Mathematics Maths Mela (English) Chapter 11 Grandmother's Quilt
NCERT solutions for Class 5 Mathematics Chapter 11 Grandmother’s Quilt – complete answers & explanations
This blog provides NCERT solutions for Class 5 Mathematics Chapter Grandmother’s Quilt. This chapter helps students understand important concepts like area and perimeter through simple shapes and practical activities. It is an important topic as it builds a strong foundation in measurement and geometry. This blog contains complete NCERT solutions strictly based on the worksheet, ensuring accurate and reliable answers for students.
What this NCERT chapter covers?
1. Understanding perimeter as the boundary of shapes
2. Learning area as the space inside shapes
3. Counting unit squares to calculate measurements
4. Identifying shapes that tile without gaps
5. Comparing shapes based on area and perimeter
6. Observing that same area shapes can have different perimeters
How to use these NCERT solutions?
1. First attempt all questions in the worksheet on your own
2. Use these NCERT solutions to check your answers
3. Follow the answers in the exact order as given in the worksheet
4. Parents and teachers can guide students step-by-step
5. Use these solutions for revision and better understanding
Important tips & tricks for students
1. Count boundary edges carefully while finding perimeter
2. Use unit squares to calculate area correctly
3. Remember that same area does not mean same perimeter
4. Observe shapes carefully when checking tiling
5. Practice drawing shapes on grids for better clarity
NCERT solutions – complete answer key
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.
2(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.
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.
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.
(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.
5.
Area = 32 x (6+12) = 32 x 18 = 576 sq cm.
6.
Area = 42 x 34 = 1428 m²
Let Us Play
Answers may vary.
Why NCERT solutions help students?
NCERT solutions help students prepare well for exams by providing accurate answers based on the worksheet. They improve concept clarity in topics like area and perimeter, build confidence, and ensure students follow the correct NCERT pattern.
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