We usually use squares to measure area, but what if we use triangles instead?
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
A rectangular field has two posts with a ring on top of each post. There are two quarrelsome goats and plenty of ropes which you can tie to their collars. How can you secure them so they can't fight each other but can reach every corner of the field?
How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?
Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
How many moves does it take to swap over some red and blue frogs? Do you have a method?
In how many ways can you fit all three pieces together to make shapes with line symmetry?
