2025 SST PRELIMS P2 Q1

2025 SST PRELIMS P2 Q1

Secondary 4
10 marks
  1. The number of electric cars made in country Y by company X in 2015 was 3 857 000.
    1. Write this number in standard form.[1]
    2. In 2005, 2.96 million electric cars were produced in country Y. Calculate the percentage increase in production from 2005 to 2015.[2]
    3. In 2015, 84.7% of all cars produced in country Y were non-electric. Calculate the total number of cars produced in 2015, to the nearest million.[2]
    4. In 2015, there were 420 cars per 1000 people in country Y. Estimate the population in 2015, in standard form correct to three significant figures.[2]
  2. A design team creates a scale model for a museum exhibit. An asteroid has diameter 253 km and its model has diameter 11 m.
    1. Find the model scale in the form \(1:n\).[1]
    2. At the same scale, the asteroid's spherical moon has model diameter 1.2 m. Find its actual surface area, leaving your answer in terms of \(\pi\).[2]

Solution:

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Answer:(a)(i) \(3.857\times10^6\) (ii) \(30.3\%\) (iii) \(25\) million (iv) \(6.00\times10^7\) (b)(i) \(1:23\,000\) (ii) \(761.76\pi\text{ km}^2\)

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