Information Four polygons fit together to form the logo. Each polygon is coloured. No two polygons of the same colour meet along a side. Two polygons are not triangles. Three different colours are used. The four polygons together make a fifth polygon. One triangle is right-angled. One triangle is equilateral. One triangle is isosceles. One triangle is obtuse angled. Three polygons have sides that are all equal to each other. Only two polygons are regular polygons. The whole logo is a regular polygon. Two polygons have only one side that is a side of the whole logo. Two polygons have only two sides that are sides of the whole logo. www.ncetm.org.uk A Department for Education initiative to enhance professional development across mathematics teaching One side of the right-angled triangle is a diagonal of the whole logo. All the corners of the isosceles triangle are corners of the whole logo. Two of the polygons with all sides equal have a side in common that is not a side of the whole logo. The angle at a corner of the polygon that is not a triangle, and that is not the whole logo, makes a half turn together with the angle at a corner of the equilateral triangle. A corner of the polygon that is not a triangle, and that is not the whole logo, meets a corner of the equilateral triangle at the centre of the polygon. The right-angled triangle and the isosceles triangle have a side in common that is not a side of the whole logo. The angle of the right-angled triangle that is opposite the hypotenuse and the angle at one corner of the isosceles triangle, together form an interior angle of the polygon that is the whole logo. No polygon has more than six sides. None of the polygons are pentagons or squares. www.ncetm.org.uk A Department for Education initiative to enhance professional development across mathematics teaching
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