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Modelling & Discrete Structures

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Topic overview

Formalise an unfamiliar situation, choose a representation and test boundary cases.

Key concepts

Supplementary assessment for some colleges; currently available public sources are insufficient to confirm the paper structure on this site. For preparation training only; no claim is made that it is a current full mock paper.

Key points

  • ◆Follow the prerequisite knowledge requirements given by the examination body; new concepts may only be used when the question provides sufficient guidance.
  • ◆The examples on this site are training with a limited scope and do not represent full syllabus coverage or official difficulty.

Worked examples

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1Written examples within the scope

A lift serves floors 0 to 20. Moving one floor costs one unit of time; opening and closing doors costs four units per stop.

Compare serving requests 3, 7 and 12 in ascending order with returning to floor 0 after every request.

State two assumptions hidden in this model and explain their effect.

Propose a better objective than total time when passengers wait unequally.

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