Easy -1.2 This is a straightforward algorithm trace requiring systematic execution of simple arithmetic operations and conditional logic. While it has 6 marks reflecting multiple iterations, it involves only basic arithmetic (addition, negation, division) and a simple if-statement with no conceptual difficulty or problem-solving insight required—purely mechanical execution of given instructions.
A student is testing a numerical method for finding an approximation for \(\pi\).
The algorithm that the student is using is as follows.
Line 10 \quad Input \(A\), \(B\), \(C\), \(D\), \(E\)
Line 20 \quad Let \(A = A + 2\)
Line 30 \quad Let \(B = -B\)
Line 40 \quad Let \(C = \frac{B}{A}\)
Line 50 \quad Let \(D = D + C\)
Line 60 \quad Let \(E = (D - 3.14)^2\)
Line 70 \quad If \(E < 0.05\) then go to Line 90
Line 80 \quad Go to Line 20
Line 90 \quad Print '\(\pi\) is approximately', \(D\)
Line 100 \quad End
Trace the algorithm in the case where the input values are
$$A = 1, \quad B = 4, \quad C = 0, \quad D = 4, \quad E = 0$$ [6 marks]
A student is testing a numerical method for finding an approximation for $\pi$.
The algorithm that the student is using is as follows.
Line 10 \quad Input $A$, $B$, $C$, $D$, $E$
Line 20 \quad Let $A = A + 2$
Line 30 \quad Let $B = -B$
Line 40 \quad Let $C = \frac{B}{A}$
Line 50 \quad Let $D = D + C$
Line 60 \quad Let $E = (D - 3.14)^2$
Line 70 \quad If $E < 0.05$ then go to Line 90
Line 80 \quad Go to Line 20
Line 90 \quad Print '$\pi$ is approximately', $D$
Line 100 \quad End
Trace the algorithm in the case where the input values are
$$A = 1, \quad B = 4, \quad C = 0, \quad D = 4, \quad E = 0$$ [6 marks]
\hfill \mbox{\textit{AQA D1 2010 Q7 [6]}}