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MCQ 3 - H1 Know and use the Fundamental Theorem of Calculus. - 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

Which statement shows sound integration reasoning for the fundamental theorem of calculus?.

  1. A.H1: check notation, restrictions and final form
  2. B.Use any familiar GCSE calculation even if it ignores the Fundamental Theorem of Calculus
  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 H1: check notation, restrictions and final form.
  • This option is best because identify the mathematical structure, choose a valid method, and justify the final statement, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: H1 Know and use the Fundamental Theorem of Calculus..

Explanation

Why this works

Use the explanation to connect the worked answer back to H1 Know and use the Fundamental Theorem of Calculus..

H1: check notation, restrictions and final form is the correct option. It directly supports the fundamental theorem of calculus by requiring the student to identify the mathematical structure, choose a valid method, and justify the final statement.

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: application.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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