If the sides of the triangle in the diagram are 3, 4 and 5, what is
the area of the shaded square?
According to Plutarch, the Greeks found all the rectangles with
integer sides, whose areas are equal to their perimeters. Can you
find them? What rectangular boxes, with integer sides, have. . . .
Use the numbers in the box below to make the base of a top-heavy
pyramid whose top number is 200.
When asked how old she was, the teacher replied: My age in years is
not prime but odd and when reversed and added to my age you have a
N people visit their friends staying N kilometres along the coast.
Some walk along the cliff path at N km an hour, the rest go by car.
How long is the road?