| Exam Board | Edexcel |
|---|---|
| Module | D1 (Decision Mathematics 1) |
| Year | 2013 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Fixed Point Iteration |
| Type | Apply iteration to find root (pure fixed point) |
| Difficulty | Moderate -0.8 This is a straightforward algorithmic execution question requiring students to follow a given flowchart step-by-step with specific values. Parts (b) and (c) test basic understanding of the algorithm's behavior, but require minimal mathematical insight. The question involves only arithmetic operations and pattern recognition, making it easier than average A-level content. |
| Spec | 7.03a Algorithm definition: input, output, deterministic, finite7.03b Algorithm awareness: uses and practical limitations7.03c Working with algorithms: trace, interpret, adapt |
1.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{bd6edbd4-1ec0-4c7e-bd39-b88f96bf52fb-2_1095_1104_292_475}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
Hero's algorithm for finding a square root is described by the flow chart shown in Figure 1.\\
Given that $\mathrm { N } = 72$ and $\mathrm { E } = 8$,
\begin{enumerate}[label=(\alph*)]
\item use the flow chart to complete the table in the answer book, working to at least seven decimal places when necessary. Give the final output correct to seven decimal places.
The flow chart is used with $\mathrm { N } = 72$ and $\mathrm { E } = - 8$,
\item describe how this would affect the output.
\item State the value of E which cannot be used when using this flow chart.
\end{enumerate}
\hfill \mbox{\textit{Edexcel D1 2013 Q1 [6]}}