2025 SJI PRELIMS P2 Q1

2025 SJI PRELIMS P2 Q1

Secondary 4
11 marks
  1. It is given that \(a=\dfrac{3n}{2n+5k}\).
    1. Find \(a\) when \(n=\dfrac13\) and \(k=\dfrac23\).[1]
    2. Express \(n\) in terms of \(a\) and \(k\).[3]
  2. Solve \(\dfrac{4-5x}{6}>1-\dfrac{x+5}{4}\).[2]
  3. Solve \(\dfrac{x-2}{x+1}-\dfrac{x+3}{x-1}=5\). Give your solutions correct to 2 decimal places.[5]

Solution:

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Answer:(a)(i) \(\frac12\) (ii) \(n=\frac{5a^2k}{3-2a^2}\) (b) \(x<\frac{11}{7}\) (c) \(x=0.44\) or \(-1.84\)

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