1. \(F\) is the set of all the fractions \(\dfrac{p}{q}\) which lie between \(0\) and \(1\), where \(p\) and \(q\) are positive integers having no common factor and \(2 \le q \le 5\). List all the members of \(F\) and indicate the smallest and the largest members. Find the mean value of the members of \(F\).

  2. \(T\) is the set of all right-angled triangles with sides of length \(x\), \((x+1)\) and \(y\), where \(x\) and \(y\) are integers. If \((x+1)\) is the length of the hypotenuse, find an expression for \(y\) in terms of \(x\), giving your answer in its simplest form. Hence find a member of \(T\) for which \(y > 10\).