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MCQ 4 - F7 Understand and use exponential growth and decay; use exponential models in contexts such as continuous compound interest, radioactive decay, drug concentration decay and population growth; consider limitations and refinements of exponential models. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

What should a student check when answering a question on exponential growth and decay?.

  1. A.F7: connect the result back to the original question
  2. B.Use any familiar GCSE calculation even if it ignores exponential growth and decay
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is F7: connect the result back to the original question.
  • This option is best because use inverse relationships, logarithm laws and model assumptions explicitly, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: F7 Understand and use exponential growth and decay; use exponential models in contexts such as continuous compound interest, radioactive decay, drug concentration decay and population growth; consider limitations and refinements of exponential models..

Explanation

Why this works

Use the explanation to connect the worked answer back to F7 Understand and use exponential growth and decay; use exponential models in contexts such as continuous compound interest, radioactive decay, drug concentration decay and population growth; consider limitations and refinements of exponential models..

F7: connect the result back to the original question is the correct option. It directly supports exponential growth and decay by requiring the student to use inverse relationships, logarithm laws and model assumptions explicitly.

The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: analysis.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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