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.
problem
Defined distances
Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?
problem
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?
problem
Pink and white
The white square slides once around the pink square. Through what distance does the point P on the white square move?
problem
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?
problem
Triangular wheel
An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?
problem
3-sided
How many triangles can Jack draw with two sides of lengths $6$cm and $8$cm and an area of $7$cm$^2$?