2025 CGSS PRELIMS P1 Q8

2025 CGSS PRELIMS P1 Q8

Secondary 4
3 marks
  1. \(\xi=\{\text{all real numbers}\hspace{0.15em}\}\), \(A=\{\text{all perfect cubes}\hspace{0.15em}\}\), \(B=\{\text{all rational numbers}\hspace{0.15em}\}\), \(C=\{\text{all recurring decimals}\hspace{0.15em}\}\), and \(D=\{1,2,3,4,5,6,7,8,9\}\).
    1. List all the elements contained in the set \(A\cap D\).[1]
    2. Explain why \(C\cap B'=\varnothing\).[1]
  2. On the Venn diagram, shade the region(s) which represent \((A'\cap B')\cup(A\cap B)\).[1]

Solution:

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Answer:(a)(i) \(\{1,8\}\) (a)(ii) \(C\subset B\) (b) Shade \((A'\cap B')\cup(A\cap B)\)

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