2025 CGSS PRELIMS P2 Q1

2025 CGSS PRELIMS P2 Q1

Secondary 4
10 marks
  1. Solve the inequality \(1+4y\leq\dfrac{2y-1}{2}<0\).[2]
  2. Solve \(-(1-x)\left(\dfrac45x-1\right)=3\).[3]
    1. Given that \(243^p\times32^p=6^{6-p}\), find the value of \(p\).[2]
    2. Simplify \(\left(\dfrac{16p^4}{q^8}\right)^{-\frac32}\div pq^5\) and leave your answer in positive index notation.[3]

Solution:

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Answer:(a) \(y\le-\frac12\) (b) \(x=-0.816,3.07\) (c)(i) \(p=1\) (c)(ii) \(\frac{q^7}{64p^7}\)

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