Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
Can you explain the strategy for winning this game with any target?
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
Does it make any difference how we write powers of powers?
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
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?
Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
