Dotty Six is a simple dice game that you can adapt in many ways.
These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
When dice land edge-up, we usually roll again. But what if we
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Create some shapes by combining two or more rectangles. What can
you say about the areas and perimeters of the shapes you can make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
Many of you explained clearly why the second version of the lottery
was harder than the first and we received some interesting lottery
games of your own creation.
Go to last month's problems to see more solutions.
Jenny Piggott reflects on the event held to mark her retirement
from the directorship of NRICH, but also on problem solving itself.
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
Unmultiply is a game of quick estimation. You need to find two numbers that multiply together to something close to the given target - fast! 10 levels with a high scores table.