A Level Further Maths

A Level Further Maths Multivariable Calculus Exam Questions

Free A Level Further Maths exam questions on Multivariable Calculus, with full model answers. Covers functions of two variables, partial differentiation, stationary points.

Multivariable Calculus exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Further Maths Multivariable Calculus

Multivariable Calculus is part of Pure Maths in A Level Further Maths. These questions suit OCR A and OCR B (MEI) A Level Further Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • Partial derivatives Differentiate with other variables constant.
  • Stationary points Set partial derivatives to zero.
  • Surfaces Sketching z = f(x, y).

Common mistakes in Multivariable Calculus

  • Differentiating the wrong variable.
  • Missing stationary points.

Try two Multivariable Calculus exam-style questions

1. Find ∂/∂x of x²y. (1 mark)

Show the mark scheme answer

2xy

2. Find ∂/∂y of x²y. (1 mark)

Show the mark scheme answer

x²

Multivariable Calculus FAQs

Which exam boards include Multivariable Calculus?

These questions suit OCR A and OCR B (MEI) A Level Further Maths.

Is Multivariable Calculus pure, mechanics or statistics?

Multivariable Calculus is part of Pure Maths.

How should I use these Multivariable Calculus questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.