This is part of our collection of Short Problems.

You may also be interested in our longer problems on Construction.

Printable worksheets containing selections of these problems are available here.

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### Defined Distances

Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?

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### Either Side

A disc with a pencil inside it is rolled around the outside and inside of a wire equilateral triangle. What shape is drawn by the pencil?

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### Pink and White

The white square slides once around the pink square. Through what distance does the point P on the white square move?

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### Snail's Pace

A snail is at the corner of a cube. What proportion of the cube's surface can the snail reach within an hour?

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### Triangular Wheel

An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?

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### 3-sided

How many triangles can Jack draw with two sides of lengths $6$cm and $8$cm and an area of $7$cm$^2$?