OCR A Level: Decision 1 - Miscellaneous Algorithms [January 2012 Q6]

The function $\text{INT}(C)$ gives the largest integer that is less than or equal to C. For example: $\text{INT}(4.8) = 4$ , $\text{INT}(7) = 7$ , $\text{INT}(0.8) = 0$ , $\text{INT}(-0.8) = -1$ , $\text{INT}(-2.4) = -3$ .

Consider the following algorithm:

$(\text{i})$ Apply the algorithm using the inputs $A = 10$ and $B = 128$ . Record the values of $A$ , $B$ , $C$ , $D$ , $E$ , and $F$ every time they change. Record the output each time line 60 is reached.

$(\text{ii})$ Show what happens when the input values are $A = 10$ and $B = -13$ .

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Input the sum of all values of $F$ outputted in part $(\text{i})$ .

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There are 4 marks available for part (i) and 5 marks for part (ii).

In total, this question is worth 12.5% of all available marks in the paper.

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This is part of the set OCR A Level Problems .