Mathematics · OCR H240 · Topic OT3

Mathematical modelling

Turning a real situation into maths, using the model, then judging and improving it. Applies to every paper.

  • 5 sub-topics
  • Taught in Year 13
  • 27 practice questions
  • 5 animated lessons
Practice questions (27) Lessons Worksheets coming soon All OCR Mathematics topics

What the specification says

Every sub-topic OCR can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. OT3.1Build a modelY13
  2. OT3.2Use a modelY13
  3. OT3.3Interpret a model's outputsY13
  4. OT3.4Refine and evaluate a modelY13
  5. OT3.5Modelling assumptionsY13

Try 2 questions

Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 27 questions in this topic, free, no account needed.

Mathematical modelling

Easy

The initial value of a model · Year 12 · 1 mark

  1. A population PP after tt years is modelled by P=2500e0.05tP = 2500\mathrm{e}^{0.05t}. What is the population when the model starts?
    (1)

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  1. When t=0t = 0, e0=1\mathrm{e}^0 = 1, so PP equals the number in front.BB: 2500

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Mathematical modelling

Medium

Building a model · Year 12 · 2 marks

  1. Suggest a model for the temperature of a cooling drink, stating one assumption.
    (2)
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  1. T=T0+Ae−ktT = T_0 + A\mathrm{e}^{-kt}
  2. Room temperature stays constant.

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