2025 YCKSS PRELIMS P1 Q23

2025 YCKSS PRELIMS P1 Q23

Secondary 4
4 marks

A rectangular cardboard has dimensions \((8x-3)\) cm by \((2x+3)\) cm. A square of side \(4x\) cm is removed, leaving area \(y\text{ cm}^2\).

  1. Show that \(y\) is odd.[3]
  2. Find a possible value of \(y\) and corresponding value of \(x\).[1]

Solution:

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Answer:(a) \(y=18x-9\), hence odd (b) e.g. \(x=1,\ y=9\)

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