2025 NASS PRELIMS P2 Q1

2025 NASS PRELIMS P2 Q1

Secondary 4
11 marks
  1. \(x=\dfrac{3h^2(y+b)}b-1\).
    1. Find \(h\) when \(b=5\), \(x=2\) and \(y=0\).[2]
    2. Rearrange the formula to make \(b\) the subject.[3]
  2. Solve the simultaneous equations \(6x-3y=16\) and \(9x+2y=11\).[3]
  3. Solve \(\dfrac{19x+3}{2x^2-5x-3}+\dfrac2{x-3}=7\). Give your solutions correct to 2 decimal places.[3]

Solution:

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Answer:(a)(i) \(h=\pm1\) (ii) \(b=\dfrac{3h^2y}{x+1-3h^2}\) (b) \(x=\frac53,\ y=-2\) (c) \(x=4.55\) or \(-0.41\)

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