Easy -2.5 This is a trivial introductory question asking students to distinguish between existence and optimisation problems in a real-world context. It requires no mathematical calculation or technique—only basic comprehension of problem types. This is far easier than typical A-level exam questions which require actual mathematical work.
1 Hussain wants to travel by train from Edinburgh to Southampton, leaving Edinburgh after 9 am and arriving in Southampton by 4 pm . He wants to leave Edinburgh as late as possible.
Hussain rings the train company to find out about the train times. Write down a question he might ask that leads to
(A) an existence problem,
(B) an optimisation problem.
1 Hussain wants to travel by train from Edinburgh to Southampton, leaving Edinburgh after 9 am and arriving in Southampton by 4 pm . He wants to leave Edinburgh as late as possible.\\
Hussain rings the train company to find out about the train times. Write down a question he might ask that leads to\\
(A) an existence problem,\\
(B) an optimisation problem.
\hfill \mbox{\textit{OCR Further Discrete AS Q1 [2]}}