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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

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Tessellating Triangles

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

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Part the Polygons

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.


Stage: 2 Challenge Level: Challenge Level:1

There are lots of answers to this, depending on what questions you choose to ask. Here is what a teacher from  Tudor Grange Academy Solihull wrote:-  

Attached is my copy of as many answers to the Tri's task as possible. I used it with a year 8 class to get them to practice measuring angles, and to get them doing more problem solving and thinking laterally as part of my angles scheme of work. I got them to compete to see who could find the most different solutions, then got them thinking about whether the triangles were scalene, isosceles, right-angled, thinking about why none of them were equilateral, which of them were right angled, and discussing why using a protractor to measure the angles can be much less accurate than using mathematical methods to calculate the exact angles.


Thanks a lot for those they're great and show some good signs of creativity.

Have a go yourself, and if you discover anything interesting then email
! Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried. Teachers - you might like to send in a summary of your children's work.