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Grade 5/ Maths/ Shapes and Patterns
Chapter 7 · NCERT Class 5 Maths Mela

Shapes and Patterns

Look around — flat shapes on a page, solid shapes you can hold, tiles fitting on a floor, and patterns that repeat or grow. Maths is hidden in rangoli, bricks and beads. Tap each idea to explore it.

🔷 3 topics⏱ ~20 min📝 10-question quiz
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Play with it

Six ideas about shapes

Flat shapes, solid shapes and the patterns they make. Tap each term to see what it means, with an example you can spot at home.

Explore · Shapes & patternstap a term

Learn

The three big ideas

  • 2D (flat) shapes lie flat on paper. We describe them by their sides and corners.
  • Triangle — 3 sides, 3 corners. Square — 4 equal sides, 4 right-angle corners. Rectangle — 4 sides, opposite sides equal. Circle — one curved side, no corners.
  • A square is a special rectangle in which all four sides are equal.

Worked example. Count the sides and corners of a rectangle.

A rectangle has 4 sides (opposite sides equal) and 4 corners, each a right angle.

  • 3D (solid) shapes take up space and can be held — a cube, cuboid, sphere, cylinder or cone.
  • A face is a flat surface, an edge is where two faces meet, a corner (vertex) is where edges meet.
  • A ball is a sphere; a tin is a cylinder; an ice-cream cone is a cone; a brick is a cuboid.

Worked example. How many faces, edges and corners does a cube have?

A cube has 6 faces, 12 edges and 8 corners — check it on a dice or a sugar cube.

  • Tiling means covering a surface with shapes that fit edge to edge — no gaps, no overlaps. Squares and rectangles tile easily.
  • A repeating pattern has a unit that comes again and again: 🔺⬛🔺⬛…
  • A growing pattern changes by a rule each step: 2, 4, 6, 8… (add 2) — find the rule to know what comes next.

Worked example. What is the rule and the next number in 5, 10, 15, 20, ___ ?

The rule is “add 5 each time”, so the next number is 25.

Common mix-up: confusing a flat shape with its solid cousin. A circle is flat; a sphere (ball) is solid. A square is flat; a cube (box) is solid.

Where you’ll meet it

Shapes & patterns around you

Floor & wall tiles

Square and rectangular tiles cover floors with no gaps. Builders choose shapes that tile neatly so the floor looks even and strong.

Rangoli & borders

Festival rangoli and sari borders repeat a small design over and over — a beautiful, real-life repeating pattern.

Boxes & balls

Cartons are cuboids, tins are cylinders, footballs are spheres. Knowing faces and edges helps when packing and stacking them.

Check yourself

Quick quiz

Ten friendly questions — mostly multiple-choice with one assertion–reason — to check that you can use shapes and patterns, not just remember them.

Score 0/10

Interactive built to the OpenMAIC approach (THU-MAIC, MIT). Content from the NCERT Class 5 Maths Mela textbook (ncert.nic.in).

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