Shapes, Tiling & Patterns: Tiles, Pennants and Panels - Class 5 Maths Worksheet
Find which regular shapes tile a floor, name triangles and four-sided shapes, count painted cubes and look at the panels of a football.
Learning Objective
Know which regular shapes tessellate, name equilateral, isosceles and scalene triangles, tell kites, parallelograms and rectangles apart, and count faces of painted cubes.
Skills Practised
- Tessellation
- Types of triangles
- Kites and parallelograms
- Rectangles
- Circles and diameters
- Painted cubes
- Weaving patterns
Preview Questions
Q1. A stadium concourse is tiled with regular hexagons. How many hexagons fit together around a point with no gaps?
- 5
- 4
- 3
- 6
Q2. How many equilateral triangles fit together around a point with no gaps and no overlaps?
- 4
- 3
- 5
- 6
Q3. Which of these regular shapes does NOT tessellate, because it leaves gaps?
- Regular pentagon
- Equilateral triangle
- Square
- Regular hexagon
Interactive Story Mission
Join Coach and Pariskhit for a 10-minute football training story. Children work through 12 activities with big buttons, kind feedback, hints when they get stuck, and a badge and stars at the end.
- Find the Equilateral Triangle: Tap the triangle with all sides equal.
- Tiling Test: Tap a shape. Then tap its group.
- Squares at a Corner: Think of the full turn around a point.
- Name the Banner: Look at the pairs of equal sides.
- Name the Panel: Look at the opposite sides.
- Sort the Triangles: Tap a triangle. Then tap its group.
- Painted Corners: Think of the corners of a cube.
- Hidden Cube: Think of the middle of the block.
- Two Diameters: Look at the shape made inside the circle.
- Weaving a Mat: Repeat the pattern 2 over, 1 under.
- Edge Cubes: Think of the edges of a cube.
- Which Is a Rectangle?: Check the angles.
Note for Parents & Teachers
This follows the NCERT Class 5 chapter "Shapes and Patterns". Equilateral triangles (6), squares (4) and regular hexagons (3) fit around a point without gaps, so they tessellate. Regular pentagons and octagons leave gaps. An isosceles triangle has 2 equal sides, an equilateral triangle 3 and a scalene triangle none. A classic football is stitched from 12 pentagons and 20 hexagons.