| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2006 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Linear transformations |
| Type | Combined transformation matrix product |
| Difficulty | Easy -1.3 This question tests basic recall of standard transformation matrices and simple matrix multiplication. Parts (i) and (ii) require only memorization of standard results, while part (iii) involves straightforward 2×2 matrix multiplication with no conceptual difficulty. Despite being Further Maths content, these are foundational transformations that require minimal problem-solving. |
| Spec | 4.03b Matrix operations: addition, multiplication, scalar4.03d Linear transformations 2D: reflection, rotation, enlargement, shear |
\begin{enumerate}[label=(\roman*)]
\item State the transformation represented by the matrix $\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}$. [1]
\item Write down the $2 \times 2$ matrix for rotation through $90°$ anticlockwise about the origin. [1]
\item Find the $2 \times 2$ matrix for rotation through $90°$ anticlockwise about the origin, followed by reflection in the $x$-axis. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI FP1 2006 Q1 [4]}}