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Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Cyclic Quad Jigsaw

A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?

Angle Trisection

It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.

Areas on a Grid

Age 11 to 16

 

This resource is part of "Dotty Grids - Exploring Area"



I wonder what we can find out about the areas of shapes drawn on dotty grids...

This video might give you some ideas.



Play with the dotted grid below, or print out some dotty paper.