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General Mathematics · Unit 3 · Earth geometry and time zones · Time zones

Solve practical problems involving time zones, making allowances for daylight saving where necessary, e.g. seasonal time systems used by Aboriginal peoples and Torres Strait Islander peoples, making phone calls, broadcasting events, travelling, preparing an itinerary.

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Question 1

In summer, Sydney (GMT +10 in winter, GMT +11 in summer with daylight saving) uses daylight saving time, which is one hour ahead of Sydney standard time. Brisbane (GMT +10) does not use daylight saving time. When it is 2:00 PM in summer in Sydney, what is the time in Brisbane?

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Question 2

A telecommunications company schedules a video conference call between three offices in different cities. The call must begin at 2:00 pm on Monday in Sydney. Refer to the table below showing the standard time zones and daylight saving status for each location. Determine: (a) the local time and day in Perth when the call begins [2 marks] (b) the local time and day in Tokyo when the call begins. [2 marks]

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Question 3

A cricket match is being broadcast live from Brisbane (GMT $+10$, currently observing daylight saving time) at 2:00 PM local time. What time would viewers in Perth (GMT $+8$, no daylight saving) be watching the broadcast?

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Question 4

A live sporting event begins at 2:00 pm on Monday in Brisbane (AEST, GMT +10). What time does a television station in Adelaide (ACDT, GMT +10:30 due to daylight saving) show the event starting when broadcasting it live?

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Question 5

A documentary about the Great Barrier Reef will be broadcast live from Cairns, Queensland (GMT +10) at 7:30 pm on Saturday, 15 March. Your cousin lives in Perth, Western Australia (GMT +8), which does not observe daylight saving. Queensland is observing daylight saving time during March, which is one hour ahead of Queensland standard time. Your cousin wants to watch the live broadcast and needs to know the local Perth time. Determine the day and time in Perth when the broadcast begins.

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Question 6

You are planning to watch a live music concert being broadcast from Melbourne. The concert starts at 7:30 pm Saturday in Melbourne and runs for 3 hours and 45 minutes. In summer, Melbourne (GMT +10) uses Australian Eastern Daylight Time, which is one hour ahead of Melbourne standard time. Darwin (GMT +9.5) does not use daylight saving time. Determine the local time and day in Darwin when the concert finishes.

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Question 7

A flight departs from Singapore (GMT \(+8\)) at 2:45 pm on Saturday and travels 3,920 km east to Port Moresby, Papua New Guinea (GMT \(+10\)). The aircraft cruises at an average speed of 560 km/h. Port Moresby does not use daylight saving time. Singapore does not use daylight saving time. Determine the local time and day in Port Moresby when the aircraft lands.

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Question 8

A cricket match is being broadcast live from Brisbane (GMT +10, no daylight saving). During winter, a sports commentator in Perth (GMT +8, no daylight saving) wishes to know the local time when the match starts at 2:30 PM in Brisbane. What time is the match in Perth?

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Determine the number of degrees of longitude for a given time difference.
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Understand the link between longitude and time.
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