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AS / A LevelExam QuestionsCalculus

AS / A Level Calculus Exam Question Pack

AS / A Level exam-style Calculus questions with mixed practice, marks-style prompts and model answers.

Resource

Work through the content for this resource.

Exam Questions

Calculus: Exam Questions

Test whether I can apply it.

A practice set designed to feel like assessment.

Exam-style questionsMarks or difficulty labelsMixed contextsMulti-step problemsSpace for working

Exam-style questions

  • Find the equation of a tangent to a curve
  • Use stationary points to classify a curve
  • Solve a simple differential equation with an initial condition

Worked example

Differentiate 𝑦 = 3𝑥² + 5𝑥

1. Differentiate 3𝑥² to get 6𝑥

2. Differentiate 5𝑥 to get 5

3. dydx = 6𝑥 + 5

Answer: dydx = 6𝑥 + 5

Marks usually come from

  • Can I choose the correct calculus technique?
  • Can I interpret gradient and area in context?
  • Can I use constants of integration correctly?