In turn 4 people throw away three nuts from a pile and hide a
quarter of the remainder finally leaving a multiple of 4 nuts. How
many nuts were at the start?
Given any two polynomials in a single variable it is always
possible to eliminate the variable and obtain a formula showing the
relationship between the two polynomials. Try this one.
Two Trees
Age 16 to 18 Challenge Level
Two trees 20 metres and 30 metres long, lean across a passageway between
two vertical walls. They cross at a point 8 metres above the ground.
What is the distance between the foot of the trees?