2025 NASS PRELIMS P1 Q21

2025 NASS PRELIMS P1 Q21

Secondary 4
4 marks
  1. The Venn diagram shows the elements of \(\mathcal E=\{x\in\mathbb Z:0\leq x\leq10\}\).
    1. Underline the correct statement: \(n(\mathcal E)=10\); \(A\cup B=\{3,5,7\}\); \(A'\cap B'=\{0,4,6,8,10\}\); \(1\notin A\cap B'\); or \((A\cap B)'=\{0,4,6,8,10\}\).[1]
    2. Shade \((A\cup B)\cap(A\cap B)'\).[1]
  2. \(\mathcal E=\{x\in\mathbb Z:10<x\leq20\}\), \(P=\{\text{perfect squares}\hspace{0.15em}\}\), \(Q=\{\text{perfect cubes}\hspace{0.15em}\}\), and \(R=\{\text{factors of}\hspace{0.5em}48\}\).
    1. List the elements in (R).[1]
    2. Find \(n[(P\cup Q)\cap R']\).[1]

Solution:

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Answer:(a)(i) \(A'\cap B'=\{0,4,6,8,10\}\) (ii) symmetric difference (b)(i) \(12,16\) (ii) \(0\)

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