
Christmas Tree Tinsel
Each day of December, tinsel is placed between the baubles showing 19 in such a way that each set of numbers can form an equation that equals the day of the month.

321 Totals
A triangular grid contains the numbers one, two and three. Combine them into regions with unique totals. What is the lowest possible value of the region with the highest total?

One Intersection
With a hexagon of dots, draw lines between them. After the first line is drawn, each new line must intersect exactly one line. Explore further with curved lines or different dot positions.

Detached Dots
Using a dotted square with numbers, join lines between dots so that a line is only ever intersected at most once. What is the lowest total possible from unjoined dots?