2024 BTYSS P2 Q10

Secondary 4

9 marks

Singapore envisions to be a car-lite nation. The Land Transport Authority (LTA) manages road infrastructure efficiently and ownership of vehicles, among other strategies.

Table 1: Comparison of lengths of roads (in km) and land area of cities (in $\text{km}^2$)

City	Length of Roads (km)	Land Area ($\text{km}^2$)
Singapore	$9500$	$729$
Kuala Lumpur	$2700$	$243$
Jakarta	$7200$	$662$
London	$14000$	$1572$
New York	$12900$	$778$

$\text{Road density}=\dfrac{\text{length of road}}{\text{land area}}$

Complete the table above.[2]
Then make a comparison of the road density in Singapore with the other cities.[1]

Table 2: Number of car registrations per $10\,000$ people

Country	Population (millions)	Car registrations (per $10\,000$ people)
Singapore	$5.64$	$1510$
Malaysia	$34$	$5210$
Indonesia	$276$	$800$
United Kingdom	$69$	$5620$
United States	$338$	$8390$

Calculate the ratio
total car registrations in Singapore : total car registrations in United States,
and leave your answer in the form $1:n$, where $n$ is a whole number.[3]

New car owners in Singapore must bid and register for a Certificate of Entilement (COE) before they can purchase a car. In each month, there are two bidding rounds. Successful bidders pay the COE amount based on the category (CAT A or CAT B) depending on the new car they intend to buy, and proceed to register their cars.

The total number of new registrations each month vary but the ratio of CAT A to CAT B registrations is about $4:3$ each month.

Table 3: COE registrations in Singapore in the first 6 months of 2024

Month	Bidding Round	CAT A (car up to $1600$ cc & up to $110$kw)	CAT B (car above $1600$ cc or above $110$kw)	Total New registrations
June	Second	$\$90889$	$\$102334$	$2551$
June	First	$\$88200$	$\$100607$	$2571$
May	Second	$\$92700$	$\$105689$	$2552$
May	First	$\$93604$	$\$105002$	$2545$
April	Second	$\$94010$	$\$102001$	$2498$
April	First	$\$89000$	$\$101334$	$2509$
March	Second	$\$85489$	$\$96011$	$2472$
March	First	$\$83000$	$\$96010$	$2550$
February	Second	$\$76801$	$\$97000$	$2491$
February	First	$\$79000$	$\$102338$	$2482$
January	Second	$\$81589$	$\$112000$	$2431$
January	First	$\$65010$	$\$85010$	$2422$

Calculate the total amount of COE paid in April 2024.
Express your final answer in million dollars, and round it to 2 significant figures.[3]

Solution:

Solution locked

Similar questions are unavailable for this question.

Answer:(a) $13.0,\ 11.1,\ 10.9,\ 8.91,\ 16.6$; Singapore is second-highest. (b) $1:333$ (c) Approximately $\$480$ million, assuming the $4:3$ ratio in each round.

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City	Length of Roads (km)	Land Area (\(\text{km}^2\))
Singapore	\(9500\)	\(729\)
Kuala Lumpur	\(2700\)	\(243\)
Jakarta	\(7200\)	\(662\)
London	\(14000\)	\(1572\)
New York	\(12900\)	\(778\)

Country	Population (millions)	Car registrations (per \(10\,000\) people)
Singapore	\(5.64\)	\(1510\)
Malaysia	\(34\)	\(5210\)
Indonesia	\(276\)	\(800\)
United Kingdom	\(69\)	\(5620\)
United States	\(338\)	\(8390\)

Month	Bidding Round	CAT A (car up to \(1600\) cc & up to \(110\)kw)	CAT B (car above \(1600\) cc or above \(110\)kw)	Total New registrations
June	Second	\(\$90889\)	\(\$102334\)	\(2551\)
June	First	\(\$88200\)	\(\$100607\)	\(2571\)
May	Second	\(\$92700\)	\(\$105689\)	\(2552\)
May	First	\(\$93604\)	\(\$105002\)	\(2545\)
April	Second	\(\$94010\)	\(\$102001\)	\(2498\)
April	First	\(\$89000\)	\(\$101334\)	\(2509\)
March	Second	\(\$85489\)	\(\$96011\)	\(2472\)
March	First	\(\$83000\)	\(\$96010\)	\(2550\)
February	Second	\(\$76801\)	\(\$97000\)	\(2491\)
February	First	\(\$79000\)	\(\$102338\)	\(2482\)
January	Second	\(\$81589\)	\(\$112000\)	\(2431\)
January	First	\(\$65010\)	\(\$85010\)	\(2422\)