An integer is said to be divisible by another integer if the result of the division is also an integer. For example: 10 is divisible by 1, 2, 5 and 10: • 10 ÷ 1 = 10 • 10 ÷ 2 = 5 • 10 ÷ 5 = 2 • 10 ÷ 10 = 1 10 is not divisible by 4: • 10 ÷ 4 = 2.5 1, 2, 5 and 10 are said to be the divisors of 10. The iterative function IterativeCalculate() totals all the divisors of its integer parameter and returns this total. Example 1: if the parameter is 10, the total will be 18 (1 + 2 + 5 + 10) . Example 2: if the parameter is 4, the total will be 7 (1 + 2 + 4) . A pseudocode algorithm for IterativeCalculate() is shown. FUNCTION IterativeCalculate(Number : INTEGER) RETURNS INTEGER DECLARE Total : Integer DECLARE ToFind : Integer ToFind ← Number Total ← 0 WHILE Number <> 0 IF ToFind MODULUS Number = 0 THEN Total ← Total + Number ENDIF Number ← Number – 1 ENDWHILE RETURN Total ENDFUNCTION The operator MODULUS calculates the remainder when one number is divided by another.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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