2026 YTSS P2 Q8

Secondary 4

12 marks

The table shows the number of messages sent per month from June to September in 2023 in Singapore.
Month June July Aug Sep
Number of days 30 31 31 30
Number of messages sent \(9.88\times10^{12}\) \(8.3\times10^{11}\) \(5.97\times10^{11}\) \(9.11\times10^{12}\)
1. The population of Singapore in 2023 was \(5.12\times10^9\).
  Calculate the mean number of messages sent per person per day from June to September in 2023.[2]
2. Calculate the percentage decrease in the number of messages sent from July to August.[2]
3. The number of messages sent in 2025 from June to September was 12.2% more than the number of messages sent in 2023 from June to September.
  Calculate the number of messages sent in 2025. Give your answer in standard form.[2]
In 2023, Singapore has a population of 5.64 million.
The land area of Singapore was \(728.6\text{ km}^2\).
Find the population of Singapore per km\(^2\), leaving your answer as standard form.[2]
The area of the reserve on a map is \(24\text{ cm}^2\), while its actual area is \(6\text{ km}^2\).
1. Find the scale of the map in the form \(1:n\).[2]
2. The scale of the map in (i) is reduced to \(1:25000\).
  Show your working clearly to determine whether the area of the reserve shown on the new map is doubled, quadrupled or remains unchanged.[2]

Month	June	July	Aug	Sep
Number of days	30	31	31	30
Number of messages sent	\(9.88\times10^{12}\)	\(8.3\times10^{11}\)	\(5.97\times10^{11}\)	\(9.11\times10^{12}\)

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Answer:(a)(i) 32.7 (ii) 28.1% (iii) \(2.29\times10^{13}\). (b) \(7.74\times10^3\) people/km². (c)(i) 1:50 000 (ii) Quadrupled to 96 cm².

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