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
Defined Distances
Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?
problem
Favourite
Constructing Triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
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$^2$?
problem
Favourite
The Farmers' Field Boundary
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?