| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2008 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Modulus-argument form conversions |
| Difficulty | Moderate -0.8 This is a straightforward Further Pure 1 question testing basic complex number operations: squaring a complex number and converting to modulus-argument form. Both parts require only direct application of standard formulas (expanding (a+bj)² and using r=√(a²+b²), θ=arctan(b/a)) with no problem-solving or insight needed. While it's Further Maths content, these are foundational FP1 skills, making it easier than average overall. |
| Spec | 4.02a Complex numbers: real/imaginary parts, modulus, argument4.02b Express complex numbers: cartesian and modulus-argument forms4.02e Arithmetic of complex numbers: add, subtract, multiply, divide |
2 You are given that $\alpha = - 3 + 4 \mathrm { j }$.\\
(i) Calculate $\alpha ^ { 2 }$.\\
(ii) Express $\alpha$ in modulus-argument form.
\hfill \mbox{\textit{OCR MEI FP1 2008 Q2 [5]}}