2025 MGS(S) PRELIMS P2 Q1

2025 MGS(S) PRELIMS P2 Q1

Secondary 4
7 marks
  1. There are 2500 sheets of paper of equal thickness in a stack.
    1. Given that the stack is 25 cm high, write down the thickness of one sheet in metres in standard form.[1]
    2. The stack weighs 13.1 kg, correct to one decimal place. Find its minimum mass.[1]
    3. The number 2500 is correct to \(k\) significant figures. State a possible value of \(k\).[1]
  2. Jim is climbing a 4500 m mountain. The temperature at its base is \(7^\circ\text{C}\), and it drops at a constant rate. The temperature at the top is \(15^\circ\text{C}\) lower than at the base.
    1. Find the temperature at the top.[1]
    2. At what height does the temperature reach \(-2^\circ\text{C}\)?[1]
  3. In 2023, Sandra earned 20% less than in 2022. In 2024, she earned 15% more than in 2023. If she earned $49 680 in 2024, how much did she earn in 2022?[2]

Solution:

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Answer:(a)(i) \(1\times10^{-4}\text{ m}\) (ii) \(13.05\text{ kg}\) (iii) \(k=2\) (b)(i) \(-8^\circ\text{C}\) (ii) \(2700\text{ m}\) (c) \(\$54000\)

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