| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2024 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area between curve and line |
| Difficulty | Moderate -0.3 Part (a) requires simple substitution (x=0 and y=0) into given equations—pure recall. Part (b) is a standard integration question finding area between curve and line: set equations equal, solve quadratic for intersection points, integrate the difference. This is textbook AS-level integration with no novel insight required, though the multi-step process and 6 marks indicate slightly more work than the most routine questions. Overall slightly easier than average due to straightforward setup and standard technique. |
| Spec | 1.08e Area between curve and x-axis: using definite integrals1.08f Area between two curves: using integration |
The diagram below shows a sketch of the curve C with equation $y = 2 - 3x - 2x^2$ and the line L with equation $y = x + 2$. The curve and the line intersect the coordinate axes at the points A and B.
\includegraphics{figure_14}
\begin{enumerate}[label=(\alph*)]
\item Write down the coordinates of A and B. [2]
\item Calculate the area enclosed by C and L. [6]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 1 2024 Q14 [8]}}