NCERT Class 5 Maths Chapter 7 PDF – Shapes and Patterns (2026-27)

Download Shapes and Patterns – NCERT Class 5 Maths Chapter 7 PDF from the new NCERT Class 5 Maths book Maths Mela (2026-27). Read the chapter online or download the free PDF. A pattern is something that repeats. In a woven mat, each strip goes over some slits and under others. Write it down in words — 1 under, 1 over, 1 under, 1 over … — and you can weave the same mat again, or tell a friend how to weave it. The rule for…

Shapes and Patterns PDF – Chapter 7 of Maths Mela

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NCERT Book Class 5 Mathematics (Math Mela) Chapter 7 Shapes and Patterns Open PDF

What Is in Shapes and Patterns? (Class 5 Maths Chapter 7)

• A pattern is something that repeats. In a woven mat, each strip goes over some slits and under others. Write it down in words — 1 under, 1 over, 1 under, 1 over … — and you can weave the same mat again, or tell a friend how to weave it. The rule for each row is written until it starts repeating.
• Tiling means covering a floor with no gaps and no overlaps. Look at the tiles in your school verandah. If copies of one shape can cover a region with no gap left over and no tile lying on top of another, we say that shape tessellates. Squares, equilateral triangles and regular hexagons tessellate. Regular pentagons and regular octagons do not.
• The test is at a point. Put cut-outs of the shape around one point. A full turn around a point is 360 degrees. So the corners meeting at that point must add up to exactly 360. Six triangle corners of 60 make 360. Four square corners of 90 make 360. Three hexagon corners of 120 make 360. Three pentagon corners of 108 make only 324 — a gap of 36 is left, and a fourth pentagon will not fit into it.
• Regular shapes have all sides equal. A regular pentagon has 5 equal sides, a regular hexagon 6, a regular octagon 8. A triangle with all three sides equal is called an equilateral triangle, and all three of its angles are equal too.
• Triangles come in three families, sorted by their sides. All three sides equal → equilateral. Exactly two sides equal → isosceles, and it also has two equal angles. No two sides equal → scalene, and no two of its angles are equal either. Fold a paper triangle in half and you can see the equal angles land on top of each other.
• Four-sided shapes are called quadrilaterals. A kite has two pairs of equal adjacent sides (sides next to each other). A parallelogram has its opposite sides equal, and its opposite angles equal. A rectangle is a parallelogram in which all four angles are right angles. A rhombus is a shape with all four sides equal. So a rectangle is a special parallelogram, and a square is both a rectangle and a rhombus.
• Cut a shape up and you can build new shapes. Cut a rhombus along both its diagonals and you get 4 equal right-angled triangles. Two of them make a triangle, a kite, a parallelogram or a rectangle. Four of them make a bigger triangle or a bigger rectangle. A tangram cuts one square into 7 pieces — 5 triangles, 1 square and 1 parallelogram — and those 7 pieces make hundreds of shapes.
• Circles hide shapes too. Draw two diameters of a circle and join their four endpoints: you always get a rectangle, because both diameters are the same length and each one cuts the other exactly in half at the centre. If the two diameters cross at right angles, the rectangle becomes a square.

Quick revision – Shapes and Patterns

Old NCERT vs New – Class 5 Maths

This chapter is from Maths Mela, the new NCERT Class 5 Maths book (NCF-SE 2023, used from 2025-26). It replaced the old book “Math-Magic”, so chapter numbers and names differ from older PDFs.

Solutions and All Chapters

Answers to the exercises and the full chapter list of Maths Mela:

Shapes and Patterns – Overview

Class 5 Maths Chapter 7 – FAQs