Overlapping Squares

If two squares overlap, what shapes can the overlapping region make?

Which of the following shapes can the overlap (the green area) be?
Rectangle :: Square :: Kite :: Trapezium :: Parallelogram :: Triangle
Pentagon :: Hexagon :: Heptagon :: Octagon

A Mathematics Lesson Starter Of The Day

Topics: Starter | Shape

  • Transum,
  • If a vertex of one square meets the centre of the other square. What fraction of the second square is overlapped by the first?

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
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Instructions for Teacher: Click and drag on either of the squares to stop the animation. Hold the shift key and drag to rotate a square. Use the snipping tool or a screen grab program to copy and paste the overlapping shapes you find.

Tip for Teacher: I found it very easy using PowerPoint (Keynote) to easily draw a square, duplicate it then mowe around the squares looking for answers. Set the fill attribute to no fill or, for the advanced, coloured yellow and aqua with 50% opacity (transparency).

Note to teacher: The starter originally designed for the 27th February was called Texting. It contained a photograph of my mobile phone! How time marches on at a pace and my trusty old phone now looks really dated. Newer phones don’t use predictive text in the same way as they provide a full keyboard so the premise of the Starter is quite dated.

If however you would still like to use that Starter you can find it here: Texting

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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:


However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a related student activity called Polygon Pieces.


Student Activity


Curriculum Reference

See the National Curriculum page for links to related online activities and resources.


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