Shapes and Patterns
Class 5 · Mathematics · 16 Questions
Can regular triangles fit together at a point without any gap? How many of them fit together?
Can squares (a regular 4-sided shape) fit together around a point without any gap or overlap? How many squares did you need?
Can five squares fit together around a point without any gaps or overlaps? Why or why not?
Can regular hexagons (6-sided shapes with equal sides) fit together around a point without any gaps or overlaps? How many fit together at a point?
Do regular octagons fit together without any gaps or overlaps?
Match the statements with appropriate shapes. Do some of them describe more than one shape?
Is it possible to create a 4-sided shape other than a rectangle through this process?
Nisha has glued 27 small cubes together to make a large solid cube. She paints the large cube red. How many of the original small cubes have— (a) three faces painted red? (b) two faces painted red? (c) one face painted red? (d) no faces painted red?
What shapes do you see in an icosahedron and a dodecahedron?
Do all the faces look the same? (Icosahedron and Dodecahedron)
How many faces meet at a vertex (point)? (Icosahedron and Dodecahedron)
Do the same number of faces meet at each vertex? (Icosahedron and Dodecahedron)
How many edges do you see? (Icosahedron and Dodecahedron)
How did you count them such that you do not miss out any edge or count an edge twice?
Can you think of any other solid shapes that have faces that look the same? Do the same number of faces meet at each common vertex?
Which shapes did you make?