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There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

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This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

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Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Coloured Squares

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Daman at St.Joseph's School in Vancouver, Canada; David from Tithe Barn Primary School and Alice agreed on the answer to Coloured Squares. David explains how he tackled it:

I did this puzzle by working through the clues one by one. I used multilink to represent the colours and used pink instead of purple.

I thought at first that the order on one of the lines was: green, orange, blue. Then I knew that orange was underneath so I did that too. Then I knew that yellow was to the left of purple and orange so I altered it completely. I made the top row: red, blue, green and underneath: yellow, purple, orange. Here is the image that David sent:

Two rows of three rectangles. Top row from left to right: red, blue green. Bottom row from left to right: yellow, purple, orange