| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Multiplication and powers of complex numbers |
| Difficulty | Easy -1.2 This is a straightforward Further Maths FP1 question testing basic complex number arithmetic: scalar multiplication, subtraction, and multiplication of complex conjugate. Both parts require only direct application of standard operations with no problem-solving or insight needed. While FP1 content, these are routine mechanical calculations that are easier than average A-level questions. |
| Spec | 4.02a Complex numbers: real/imaginary parts, modulus, argument4.02e Arithmetic of complex numbers: add, subtract, multiply, divide |
3 The complex numbers $z$ and $w$ are given by $z = 5 - 2 \mathrm { i }$ and $w = 3 + 7 \mathrm { i }$. Giving your answers in the form $x + \mathrm { i } y$ and showing clearly how you obtain them, find\\
(i) $4 z - 3 w$,\\
(ii) $z ^ { * } w$.
\hfill \mbox{\textit{OCR FP1 2009 Q3 [4]}}