2026 NCHS P2 Q1

2026 NCHS P2 Q1

Secondary 4
10 marks
  1. Solve \(\dfrac8{2-3x}=7\).[2]
  2. Factorise completely \(10a-4ba-15c+6bc\).[2]
  3. Solve the simultaneous equations.
    \(\begin{aligned} 3x+5y&=2 \\ 5x-4y&=-6 \end{aligned}\)
    You must show your working.[3]
  4. Write as a single fraction in its simplest form \(\dfrac{3x-20}{x^2-49}+\dfrac5{7-x}\).[3]

Solution:

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Answer:(a) \(\dfrac27\) (b) \((2a-3c)(5-2b)\) (c) \(x=-\dfrac{22}{37},\ y=\dfrac{28}{37}\) (d) \(\dfrac{-2x-55}{(x-7)(x+7)}\).

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