Edexcel IGCSE Maths

Revision Notes

4.14.1 Problem Solving with Areas

What is problem solving?

  • Problem solving, as far as GCSE Mathematics is concerned, usually has two key features:
    • A question is given as a real-life scenario (eg. Mary is painting a bedroom in her house …)
    • There is normally more than one topic of maths you will need in order to answer the question (eg. Area and Percentages)

Problem solving with areas

  • Area is a commonly used topic of maths in the real world
  • Laying a carpet, painting a house, designing a sports field, building a patio or decking all involve area
  • Also, doing each of these things has a cost – so a lot of area problems also involve calculations with money

How to solve problems

  • The key to getting started on problem-solving questions is to not focus only on what the question asks you to find out but thinking about what you can do with the information given
  • Often this will lead you to think of something else you can do and then eventually you may be able to see your way to answering the original question
  • These questions could appear on either a non-calculator paper or calculator paper, depending on how awkward they decide to make the numbers involved!

Exam Tip

Even if you never get to a final answer always try to do some maths with the information from the question – you are likely to score some extra marks!

Worked Example

Problem Solving with Areas Worked Example 1, downloadable IGCSE & GCSE Maths revision notes

Lounge-Floor-Area, downloadable IGCSE & GCSE Maths revision notes

Problem Solving with Areas Worked Example 2, downloadable IGCSE & GCSE Maths revision notes

Problem Solving with Areas Worked Example 3, downloadable IGCSE & GCSE Maths revision notes Problem Solving with Areas WE 4, downloadable AS & A Level Maths revision notes

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