Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP
have equal areas. Prove X and Y divide the sides of PQRS in the
A 1 metre cube has one face on the ground and one face against a
wall. A 4 metre ladder leans against the wall and just touches the
cube. How high is the top of the ladder above the ground?
Investigate how you can work out what day of the week your birthday
will be on next year, and the year after...
A spider is sitting in the middle of one of the smallest walls in my
living room and a fly is resting by the side of the window on the
opposite wall, 1.5m above the ground and 0.5m from the adjacent wall.
What is the shortest distance the spider would have to crawl to catch
The room is 5m long, 4m wide and 2.5m high.
If the fly walks down the wall, is there a point at which the spider
would be better changing its route?