2025 CHS PRELIMS P2 Q2

2025 CHS PRELIMS P2 Q2

Secondary 4
6 marks
    1. On the Venn diagram, shade the region which represents \((P'\cap Q)'\).[1]
    2. Use set notation to describe the shaded region.[1]
  2. \(\xi=\{\text{integers}\hspace{0.5em}x:20\leq x\leq50\}\), \(A=\{\text{perfect squares}\hspace{0.15em}\}\), \(B=\{\text{prime numbers}\hspace{0.15em}\}\) and \(C=\{\text{multiples of}\hspace{0.5em}7\}\).
    1. List the elements in \(A\cap C'\).[1]
    2. Find the value of \(n(B\cap C)\).[1]
    3. A number, \(p\), is chosen at random from the set \((B\cup C)\). Find the probability that \(p\in A\).[2]

Solution:

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Answer:(a)(i) \(P\cup Q'\) (a)(ii) \(K\cap F'\) (b)(i) \(\{25,36\}\) (b)(ii) \(0\) (b)(iii) \(\frac1{12}\)

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