| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Direct division of complex numbers |
| Difficulty | Easy -1.2 This is a routine Further Maths FP1 question requiring only the standard technique of multiplying by the conjugate to divide complex numbers. While it's a Further Maths topic, the execution is mechanical with no problem-solving required—multiply by (5+i)/(5+i), expand, and simplify. It's easier than average even for Further Maths students. |
| Spec | 4.02e Arithmetic of complex numbers: add, subtract, multiply, divide |
1 Express $\frac { 2 + 3 \mathrm { i } } { 5 - \mathrm { i } }$ in the form $x + \mathrm { i } y$, showing clearly how you obtain your answer.
\hfill \mbox{\textit{OCR FP1 2009 Q1 [4]}}