Edexcel D1 2006 January — Question 3 9 marks

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2006
SessionJanuary
Marks9
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSorting Algorithms
TypeAlgorithm Tracing
DifficultyEasy -1.2 This is a straightforward trace-through exercise of a given flowchart algorithm. Students simply follow the flowchart step-by-step and record values in a table with specified precision. It requires careful execution but no problem-solving, conceptual understanding, or algorithmic design—purely mechanical application of given instructions.
Spec7.03a Algorithm definition: input, output, deterministic, finite7.03c Working with algorithms: trace, interpret, adapt

\includegraphics{figure_3} An algorithm is described by the flow chart shown in Figure 3.
  1. Complete the table in the answer book recording the results of each step as the algorithm is applied. (Notice that values of \(A\), \(B\), \(C\) and \(D\) are to be given to 3 decimal places, and the values of \(E\) to 1 significant figure.) [8]
  2. Write down the output from the algorithm. [1]

AnswerMarks Guidance
AnswerMarks Guidance
Output: 1, 1, 2, 3, 5M1 A1
| Answer | Marks | Guidance |
|--------|-------|----------|
| Output: 1, 1, 2, 3, 5 | M1 A1 | |
\includegraphics{figure_3}

An algorithm is described by the flow chart shown in Figure 3.

\begin{enumerate}[label=(\alph*)]
\item Complete the table in the answer book recording the results of each step as the algorithm is applied.

(Notice that values of $A$, $B$, $C$ and $D$ are to be given to 3 decimal places, and the values of $E$ to 1 significant figure.) [8]

\item Write down the output from the algorithm. [1]
\end{enumerate}

\hfill \mbox{\textit{Edexcel D1 2006 Q3 [9]}}