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Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Can you make sense of these three proofs of Pythagoras' Theorem?
Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
Draw all the possible distinct triangles on a 4 x 4 dotty grid. Convince me that you have all possible triangles.
If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?
How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?