| Exam Board | WJEC |
|---|---|
| Module | Further Unit 1 (Further Unit 1) |
| Session | Specimen |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Solving equations involving complex fractions |
| Difficulty | Standard +0.3 This is a straightforward Further Maths complex number question requiring standard techniques: simplifying a complex fraction by multiplying by the conjugate, collecting terms with the unknown z, and converting between forms. While it involves multiple steps and two representations, each technique is routine and well-practiced, making it slightly easier than average even for Further Maths content. |
| Spec | 4.02b Express complex numbers: cartesian and modulus-argument forms4.02e Arithmetic of complex numbers: add, subtract, multiply, divide |
Solve the equation $2z + iz = \frac{-1 + 7i}{2 + i}$.
\begin{enumerate}[label=(\alph*)]
\item Give your answer in Cartesian form [7]
\item Give your answer in modulus-argument form. [4]
\end{enumerate}
\hfill \mbox{\textit{WJEC Further Unit 1 Q2 [11]}}