| Exam Board | Edexcel |
|---|---|
| Module | P1 (Pure Mathematics 1) |
| Year | 2024 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Find coordinates of turning points |
| Difficulty | Easy -1.3 This question tests basic knowledge of cosine graph transformations with minimal problem-solving required. Part (a) is direct recall (cos has minimum at 180°), while parts (b)(i) and (b)(ii) involve simple vertical translation and reflection respectively. All answers follow immediately from standard graph properties with no multi-step reasoning or novel insight needed. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05g Exact trigonometric values: for standard angles |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \((540°, -5)\) | B1, B1 | B1 for one correct coordinate; B0 B1 not possible; "flipped" = B1 B0 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \((360°, 3)\) | B1, B1 | Coordinates may be given separately; condone omission of degrees |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \((180°, 5)\) | B1, B1 | If radians used, withhold one mark first time it occurs |
# Question 6:
## Part (a):
| Answer/Working | Mark | Guidance |
|---|---|---|
| $(540°, -5)$ | B1, B1 | B1 for one correct coordinate; B0 B1 not possible; "flipped" = B1 B0 |
## Part (b)(i):
| Answer/Working | Mark | Guidance |
|---|---|---|
| $(360°, 3)$ | B1, B1 | Coordinates may be given separately; condone omission of degrees |
## Part (b)(ii):
| Answer/Working | Mark | Guidance |
|---|---|---|
| $(180°, 5)$ | B1, B1 | If radians used, withhold one mark first time it occurs |
---6.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{2043b938-ed3f-4b69-9ea9-b4ab62e2a8ce-14_919_954_299_559}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}
Figure 2 shows a plot of part of the curve $C _ { 1 }$ with equation
$$y = 5 \cos x$$
with $x$ being measured in degrees.\\
The point $P$, shown in Figure 2, is a minimum point on $C _ { 1 }$
\begin{enumerate}[label=(\alph*)]
\item State the coordinates of $P$
The point $Q$ lies on a different curve $C _ { 2 }$\\
Given that point $Q$
\begin{itemize}
\item is a maximum point on the curve
\item is the maximum point with the smallest $x$ coordinate, $x > 0$
\item find the coordinates of $Q$ when
\begin{enumerate}[label=(\roman*)]
\item $C _ { 2 }$ has equation $y = 5 \cos x - 2$
\item $C _ { 2 }$ has equation $y = - 5 \cos x$
\end{itemize}
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{Edexcel P1 2024 Q6 [6]}}