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. . . .
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?
Use the numbers in the box below to make the base of a top-heavy
pyramid whose top number is 200.
If the sides of the triangle in the diagram are 3, 4 and 5, what is
the area of the shaded square?