SubjectScout
ENAR
Sign inGet matched
Get matched
← Back to interactive practice
Print with marking points
AS & A Level · AS/A Level

Further Mathematics

Complex numbers, matrices and series

Name: ____________________Date: October 10, 2026
  1. 1.

    Solve z^2 - 4z + 13 = 0 over the complex numbers. Find the modulus of each root.

    [3 marks] · no calculator
  2. 2.

    For A = [[2, 1], [1, 2]], find both eigenvalues and give one eigenvector for each.

    [4 marks] · no calculator
  3. 3.

    Use the Maclaurin series for e^x to write the expansion of e^(2x) through the x^3 term.

    [3 marks] · no calculator

Original, unofficial practice questions from SubjectScout — not official past-paper questions.

Marking points are indicative, not an official mark scheme. Accept equivalent valid methods and supported interpretations that address the task; award each mark once without requiring the model wording.