2026 PCSS P2 Q1

2026 PCSS P2 Q1

Secondary 4
11 marks
  1. Find all the prime numbers that satisfy the inequality \(-3<\dfrac{x-1}{6}\leq\dfrac12\).[3]
  2. Simplify \(\dfrac{6xy^4}{5z^5}\div\dfrac{9x^3z}{20y^3}\).[2]
  3. Simplify \(\left(\dfrac{\sqrt[4]{r^{12}}}{27s^9}\right)^{-\frac13}\).[2]
  4. Write as a single fraction in its simplest form \(\dfrac7{25x^2-4}-\dfrac3{2-5x}+1\).[4]

Solution:

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Answer:(a) 2, 3 (b) \(\dfrac{8y^7}{3x^2z^6}\) (c) \(\dfrac{3s^3}{|r|}\); school key \(\dfrac{3s^3}{r}\) assumes \(r>0\) (d) \(\dfrac{25x^2+15x+9}{25x^2-4}\)

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