| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2022 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Find factor then solve |
| Difficulty | Moderate -0.3 Part (a) requires factorising a cubic (likely by trial of rational roots) then solving a quadratic - standard but multi-step. Part (b) is routine inverse cosine with angle manipulation and range consideration. Both are textbook exercises requiring technique rather than insight, slightly easier than average due to straightforward methods. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\alph*)]
\item Solve the equation $2x^3 - x^2 - 5x - 2 = 0$. [6]
\item Find all values of $\theta$ in the range $0° < \theta < 180°$ satisfying
$$\cos(2\theta - 51°) = 0.891.$$ [3]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 1 2022 Q12 [9]}}