1 “Fifth! Jewellery! A quarter! Burglary – you noddle-headed Neanderthal!” This was the substance of the yells that punctuated the blows of a sledgehammer as it reduced a niftylooking DAB radio to bits. What solecisms was Pedanticus referring to?
2 “Squaring a number makes it bigger,” pronounced Andy as he pored over a table of squares. But Candy wasn’t so sure. “It depends what you mean by a ‘number’,” she replied. Andy sighed: “Clearly I am referring to what you pedants call ‘real numbers’; you know, stuff like 17, 0, 11/3, √ 2 and 666.” Show that Andy is wrong, and find the range of numbers which grow smaller on squaring.
3 As the population of the country shoots up, developers are twisting the arms of the councils to free space to pack full of poky little houses far too small for civilised occupation but costing what a decent house once cost. I caught sight of this meagre little elevation at the architect’s. The shape consists of a triangle on top of a rectangle. The walls and both slant sides of the roof are of unit length and the area of the gable is g. The angle at the top is 120°. What is the area of the rectangle? Twitter: @ChrisMaslanka