2026 SPS P2 Q1

2026 SPS P2 Q1

Secondary 4
9 marks
  1. Express \(\dfrac5{x-2}-\dfrac3{2x+1}\) as a single fraction in its simplest form.[2]
  2. Make \(r\) the subject of the formula \(V=\dfrac{h(R^2+r^2)}{r^2}\).[2]
  3. Simplify \(\dfrac{2x^2-xy-6x+3y}{9-x^2}\).[3]
  4. Simplify \((2x^3y^{-2})^4\div(8x^5y^{-3})\), giving your answer with positive indices.[2]

Solution:

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Answer:(a) \((7x+11)/[(x-2)(2x+1)]\). (b) \(r=R\sqrt{h/(V-h)}\) for positive radii; see sign qualification. (c) \((y-2x)/(x+3)\). (d) \(2x^7/y^5\).

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