| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Linear transformations |
| Type | Describe reflection from matrix |
| Difficulty | Moderate -0.8 This question tests basic recognition of standard transformation matrices (reflection in x-axis, reflection in y=-x) and simple matrix multiplication. All parts require either direct recall of standard transformations or routine computation with no problem-solving insight needed. While it's Further Maths content, these are foundational FP1 concepts presented in the most straightforward way possible. |
| Spec | 4.03b Matrix operations: addition, multiplication, scalar4.03d Linear transformations 2D: reflection, rotation, enlargement, shear |
6 (i) The transformation P is represented by the matrix $\left( \begin{array} { r r } 1 & 0 \\ 0 & - 1 \end{array} \right)$. Give a geometrical description of transformation P .\\
(ii) The transformation Q is represented by the matrix $\left( \begin{array} { r r } 0 & - 1 \\ - 1 & 0 \end{array} \right)$. Give a geometrical description of transformation Q.\\
(iii) The transformation R is equivalent to transformation P followed by transformation Q . Find the matrix that represents R .\\
(iv) Give a geometrical description of the single transformation that is represented by your answer to part (iii).
\hfill \mbox{\textit{OCR FP1 2009 Q6 [9]}}