2026 CCHMS P1 Q10

2026 CCHMS P1 Q10

Secondary 4
4 marks
  1. \(\xi=\{x:x\text{ is an integer},\ 0<x<10\}\)
    \(P=\{x:x\text{ is a prime number}\hspace{0.15em}\}\)
    \(S=\{x:x\text{ is a perfect square}\hspace{0.15em}\}\)
    \(E=\{x:x\text{ is an even number}\hspace{0.15em}\}\)
    1. Write down the relationship between set \(P\) and set \(S\) using set notation.[1]
    2. Complete the Venn Diagram below to represent set \(P\), set \(S\) and set \(E\).[2]
  2. On the Venn diagram, shade the region which represents \(A\cap B^{\prime}\).[1]

Solution:

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Answer:(a)(i) \(P\cap S=\varnothing\) (ii) See completed Venn diagram. (b) Shade \(A\) only, excluding the overlap.

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