Describing patterns and sequences
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problemFavouriteA City of Towers
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
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problemFavouriteChairs and Tables
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
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problemFavouriteRepeating Patterns
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
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problemFavouriteCube Bricks and Daisy Chains
Daisy and Akram have made some number patterns. Can you find out which pattern is longer?
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problemFavouritePoly Plug Pattern
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
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problemFavouriteChain of Changes
In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?
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problemFavouriteThree Ball Line Up
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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problemFavouriteCaterpillars
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?