Build and test number algorithms
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An algorithm tests 15 by dividing by 3. If the remainder is zero it prints YES; otherwise NO. Which remainder makes it print YES?
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Answer: 0
- 15 = 3 × 5, with no remainder.
- The zero-remainder branch prints YES.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Follow decisions and loops, then investigate factors and multiples digitally.
Read the official VCAA curriculum description (VC2M5N10)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M5N10-C01An algorithm is a clear sequence with decisions. To test divisibility, divide the target by the candidate: a zero remainder means exact division. Repeatedly adding a number generates its multiples.
- VC2M5N10-C02Apply the same condition to every candidate, including any stated endpoints. A factor test divides the target by a candidate. Keep each distinct accepted factor once; the starting value is not the first repeated update.
- VC2M5N10-C03An algorithm can use a correct division test but miss factors by testing the wrong range. Check 1 and the number itself, the direction of division, and whether a loop skips a multiple. Test the repaired instructions on a small example before extending them.
- VC2M5N10-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.
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Descriptor-derived subskills
- D01Trace multiples and remaindersAn algorithm is a clear sequence with decisions. To test divisibility, divide the target by the candidate: a zero remainder means exact division. Repeatedly adding a number generates its multiples.
- D02Check a whole tested rangeApply the same condition to every candidate, including any stated endpoints. A factor test divides the target by a candidate. Keep each distinct accepted factor once; the starting value is not the first repeated update.
- D03Repair missing or reversed stepsAn algorithm can use a correct division test but miss factors by testing the wrong range. Check 1 and the number itself, the direction of division, and whether a loop skips a multiple. Test the repaired instructions on a small example before extending them.