NCERT Solutions for Class 5 Mathematics Maths Mela (English) Chapter 7
NCERT solutions for Class 5 Maths Chapter Shapes and patterns – complete answers & explanations
This blog provides NCERT solutions for Class 5 Maths Chapter Shapes and patterns in a simple and student-friendly way. This chapter helps students understand how different shapes are arranged, how patterns are formed, and how tessellations work in everyday life. It is an important topic for building strong geometry concepts. All the answers given below are strictly based on the worksheet provided, ensuring complete accuracy and alignment with the content.
What this NCERT chapter covers?
1. Understanding weaving patterns using paper
strips and row-wise arrangements
2. Learning how patterns repeat and how to continue them correctly
3. Introduction to tessellation and how shapes fit together without gaps
4. Exploring different shapes like triangles, squares, hexagons, and pentagons
5. Identifying properties of shapes such as angles and sides
6. Understanding different types of triangles and quadrilaterals
7. Creating patterns using shapes and observing symmetry
How to use these NCERT solutions?
1. First, read each question carefully
and try solving it on your own
2. Use these answers to check your work and understand mistakes
3. Follow the exact worksheet order to avoid confusion
4. Practice drawing and activity-based questions along with answers
5. Parents and teachers can guide students in understanding patterns and shapes visually
Important tips & tricks for students
1. Always observe patterns carefully before answering
2. Practice drawing shapes neatly for better understanding
3. Remember key angle values like 60°, 90°, and 120°
4. Pay attention to whether shapes fit together without gaps or overlaps
5. For activity-based questions, follow the given instructions step by step
NCERT solutions – complete answer key
Weaving Mats
1. Let us make paper mats
Explanation:
Fold the paper, cut equal slits, and weave strips by alternating under and over to create a pattern.
2. Can you figure out how to make this mat?
Explanation:
Row 1 – 2 over, 1 under (repeat)
Row 2 – 2 under, 1 over (repeat)
The pattern alternates in each row.
3. Try to weave a pattern
Explanation:
Row 1 – 2 over, 1 under (repeat)
Row 2 – 1 under (start), then 3 over, 3 under (repeat)
Row 3 – 2 under, 1 over (repeat)
Row 4 – 1 over (start), then 3 under, 3 over (repeat)
Follow rows in sequence to continue pattern.
4. Can you work out the steps for these designs?
Explanation:
Observe each design carefully and write the row-wise weaving pattern until it starts repeating.
Let Us Try
Explanation:
Complete the grid by continuing the same pattern in all directions to maintain symmetry.
Tiling and Tessellation
Explanation:
Tessellation means covering a surface using shapes without gaps or overlaps.
No
Explanation:
Each angle of a regular pentagon is 108°.
3 × 108° = 324°, which is less than 360°, so a gap remains.
Adding one more pentagon gives 4 × 108° = 432°, which is more than 360°, so it will overlap.
Hence, one more pentagon cannot fit.
Yes, 6 triangles fit together without gaps.
Explanation:
Each angle is 60°, so 6 × 60° = 360° (no gap or overlap).
Find Out
Can regular triangles fit together at a point? How many of them fit together?
Yes
Explanation:
They meet perfectly without gaps or overlaps.
Do you see that regular triangles fit around a point?
Yes
Explanation:
They meet perfectly without gaps or overlaps.
Can squares fit together around a point without any gap or overlap? How many squares did you need?
Yes, 4 squares fit together.
Explanation:
Each angle is 90°, so 4 × 90° = 360°.
Can five squares fit together around a point without any gaps or overlaps? Why or why not?
No
Explanation:
5 × 90° = 450°, which is more than 360°, so they overlap.
Can regular hexagons fit together around a point without any gaps or overlaps? How many fit together?
Yes, 3 hexagons fit together.
Explanation:
Each angle is 120°, so 3 × 120° = 360°.
What shapes have been used in this pattern?
Triangles, hexagons
Explanation:
The pattern combines both shapes to fill space without gaps.
Continue the pattern
Explanation:
Extend the design using the same arrangement of triangles and hexagons.
Do regular octagons fit together without any gaps or overlaps?
No, regular octagons do not tessellate.
Explanation:
Their angles do not fit exactly around a point to make 360°.
Look at the pattern
1. What shapes are coming together at the marked points?
Hexagons and small squares
2. Are the same set of shapes coming together at these points?
Yes
Explanation:
The same combination of shapes repeats at every marked point.
Are the triangles equilateral? Why or why not?
No
Explanation:
All sides of the triangles are not equal, so they are not equilateral.
What shapes are coming together at the marked points?
Triangles and squares
Are the same set of shapes coming together at these points?
Yes
What geometrical shapes can you make by fitting 2 of these triangles together?
Triangle, parallelogram, rhombus
1. How many different types of triangles can you make?
3
Explanation:
Isosceles, equilateral, scalene
What do you notice?
Each triangle has 2 equal sides
What do you notice about their angles?
Two angles are equal
2. Is it possible to make a triangle where all three sides are equal (equilateral triangle)?
Yes
3. Is it possible to make a triangle where all three sides are unequal?
Yes
Explanation:
Such triangles are called scalene triangles.
After cutting the equilateral triangle in half, how many sides of each new triangle are equal?
No sides are equal.
The new triangles formed are scalene triangles
Check in scalene triangles whether any two or more angles are equal?
In a scalene triangle, no two angles are equal—all angles are different.
4. How many different 4-sided shapes (quadrilaterals) can you make?
3
Kite, parallelogram, rectangle
What do you notice about the sides of a kite?
Side 1 = Side 2
Side 3 = Side 4
Adjacent sides are equal.
5. Measure the sides of quadrilaterals A and B. What do you notice?
Opposite sides are equal
Are there any pairs of sides that are equal? Which pairs are equal—adjacent or opposite?
Opposite sides
What types of angles do quadrilaterals A and B have? Which angles are equal in each of the above parallelograms?
Both are parallelograms; B is a rectangle.
7. How many sides do each one of them have?
3-sided, 4-sided, 5-sided shapes
Explanation:
Different arrangements form polygons with different sides.
8. Which of these shapes can be made with all 4 pieces?
Square, rectangle, triangle
Tangram
Explanation:
Cut the tangram pieces, observe them, and name each shape (triangles, square, parallelogram).
They are different in shape and size but are made from the same set.
Angles are different
Sides are of different lengths
Which Shape Am I?
Rhombus
Parallelogram
Rectangle
Square
Kite
Explanation:
Fold the paper along diagonals and edges to form a kite shape.
What shapes do you see in the kite?
Triangles
Play with Circles
Draw two diameters in a circle, join their endpoints, and observe that a quadrilateral (rectangle) is formed.
What shape is formed?
Joining endpoints of diameters forms a rectangle.
What do you notice about the shape that is formed (with different diameters)?
No matter which diameters are chosen, the shape formed remains a rectangle.
Is it possible to create a 4-sided shape other than a rectangle through this process?
No
Why NCERT solutions help students?
These NCERT solutions for Class 5 Maths help students prepare better for exams by providing accurate answers aligned with the worksheet. They improve concept clarity, especially in geometry and patterns, and build confidence in solving similar questions independently.
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