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

### 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

### The Farmers' Field Boundary

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?