Design pattern creation

Bale, an undergrad CSE student has recently learned design patterns. He has a class test next week on a syllabus of singleton, factory, adapter, composite design patterns. He wants to practice some code on design patterns. Now, he is searching for some design pattern assignments. Most of the assignments he found so far require framework knowledge, deep programming knowledge and huge time. He wants some small scale assignment which can be completed within a day using simple java language without integration of any graphical user interface(GUI) or any advanced packages or any other APIs.

Now, describe a simple design pattern assignment that satisfies his requirement. Also, provide a possible paper solution(without coding) showing that the assignment satisfies all requirements. Do not write any code.