| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Modulus function |
| Type | Sketch y=|linear| and y=linear with unknown constants, then solve |
| Difficulty | Moderate -0.3 Part (a) is a straightforward sketch of a translated modulus function requiring basic knowledge of transformations. Part (b) involves solving a modulus inequality by considering cases (x ≥ 2a and x < 2a), which is a standard technique taught in FP2, though it requires careful algebraic manipulation and interpretation of the solution regions. This is slightly easier than average as it follows a well-practiced method without requiring novel insight. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities |
\begin{enumerate}[label=(\alph*)]
\item Sketch the graph of $y = |x - 2a|$, given that $a > 0$. [2]
\item Solve $|x - 2a| > 2x + a$, where $a > 0$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel FP2 Q36 [5]}}