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2024 CHIJ STC Sec 1 EOY P1 Q3

2024 CHIJ STC Sec 1 EOY P1 Q3

4 marks

  1. Express \(4116\) as a product of its prime factors, leaving your answer in index notation.

    [1]

  2. Find the smallest integer \(k\) such that \(\frac{4116}{k}\) is a perfect square.

    [1]

  3. Buses \(A, B\) and \(C\) arrive at a bus interchange in intervals of \(20\) minutes, \(30\) minutes and \(45\) minutes respectively.

    If all of them first arrive at the bus interchange at \(8.30\) am, find the time they will next meet at the interchange.

    [2]

Solution:

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Answer:(a) \(2^2\times3\times7^3\) (b) \(k=21\) (c) \(11.30\text{ am}\)

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