Year 8 - Time and time zones - Free practice

Year 8 Time & Time Zones Worksheets

12- and 24-hour time, duration, world time zones.

Quick answer

How do you solve problems with time and time zones?

Convert between 12-hour and 24-hour time, then add or subtract durations carefully. For time zones, find the offset between locations and add or subtract it. For example, if Melbourne (AEDT, UTC+11) is 11 hours ahead of UTC, and it is 14:00 in Melbourne, it is 03:00 UTC.

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Six questions across Foundation, Standard and Extension, with full worked solutions, written to the Australian Curriculum.

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Worked examples

Year 8 time and time zones: worked examples

Three examples, from a standard question to a worded problem. Have a go at each one before you open the solution.

Example 1 · Converting between 12-hour and 24-hour time
Convert these times: (a) 7:45 am to 24-hour time, (b) 20:30 to 12-hour time.
Show worked solution
Key idea: In 24-hour time, hours run from 00 to 23. For pm times after 12 noon, add 12 to the hour. For 24-hour times from 13:00 onwards, subtract 12 and write pm.
1. (a) 7:45 am is before noon, so the hour stays the same. Write the hour with two digits: $07{:}45$ .
2. (b) $20 - 12 = 8$ , so 20:30 is 8:30 pm.
Answer: (a) $07{:}45$ and (b) 8:30 pm
Example 2 · Adding a duration across midnight
A movie starts at 10:45 pm and runs for 2 hours 35 minutes. What time does it finish? Give your answer in 12-hour time.
Show worked solution
Key idea: Add hours first, then minutes, and regroup if minutes exceed 60. Remember midnight is 12:00 am and the day changes.
1. Start time: 10:45 pm.
2. Add 2 hours: $10\text{ pm} + 2\text{ h} = 12\text{ am (midnight)}$ , so the time is 12:45 am.
3. Add 35 minutes: $12{:}45\text{ am} + 35\text{ min} = 1{:}20\text{ am}$
4. The day has moved to the next day, so the movie finishes at 1:20 am.
Answer: 1:20 am
Example 3 · International flight arrival time
A flight departs Sydney at 9:15 am on Wednesday. Sydney is on AEST (UTC+10). The flight takes 9 hours 50 minutes and lands in Dubai, where the local time zone is GST (UTC+4). What is the local time and day in Dubai when the plane lands?
Show worked solution
Key idea: Convert departure to UTC by subtracting the offset, add the flight duration to get arrival in UTC, then convert to the destination's local time by adding its offset.
1. Departure in UTC: $9{:}15\text{ am} - 10\text{ h} = 11{:}15\text{ pm Tuesday (UTC)}$
2. Add flight duration of 9 h 50 min: $11{:}15\text{ pm} + 9\text{ h} = 8{:}15\text{ am Wednesday (UTC)}$ $8{:}15\text{ am} + 50\text{ min} = 9{:}05\text{ am Wednesday (UTC)}$
3. Convert UTC to Dubai local time (UTC+4): $9{:}05\text{ am} + 4\text{ h} = 1{:}05\text{ pm Wednesday (GST)}$
Answer: 1:05 pm Wednesday (Dubai local time)

Common mistakes

Where students usually lose marks

Adding instead of subtracting when converting to UTC

Sydney is UTC+10, so UTC = 9:15 am + 10 h = 7:15 pm

To convert a local time to UTC, subtract the UTC offset. UTC+10 means the local clock is 10 hours ahead of UTC, so you subtract: $9{:}15\text{ am} - 10\text{ h} = 11{:}15\text{ pm}$ (previous day).

Forgetting that the day changes at midnight

11:50 pm + 2 h = 1:50 pm

When adding time pushes you past midnight (12:00 am), the date moves forward by one day. Keep track of the day label, especially in multi-step problems involving flights or overnight events.

Confusing 12:00 am and 12:00 pm

12:00 pm is midnight and 12:00 am is noon

12:00 am is midnight (the very start of the day) and 12:00 pm is noon (midday). In 24-hour time, midnight is 00:00 and noon is 12:00, which removes any confusion.

Ignoring the difference between two Australian time zones

ACDT (UTC+10:30) and AEST (UTC+10) are the same, so no conversion is needed

ACDT and AEST differ by 30 minutes. Always convert both times to UTC first, then convert to the destination's local time. Never assume two Australian time zones are identical just because they look similar.

Try one yourself

Your turn

A flight departs Sydney at 21:45 on Monday and arrives in Dubai 14 hours and 20 minutes later. Sydney is at UTC+11 and Dubai is at UTC+4. What is the local arrival time in Dubai? Give your answer as a 4-digit 24-hour time (e.g. 0930 means 9:30 am).

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About this worksheet

Why we built it

The Year 8 "time" topic is deceptively tricky - especially when crossing time zones and daylight savings. These worksheets give your student varied problems on durations, 24-hour conversions and global time-zone calculations.

What's covered

Sub-skills your student will practise

✓Converting between 12-hour and 24-hour time
✓Adding and subtracting durations
✓Time-zone calculations (Australia vs international)
✓Daylight savings considerations
✓Word problems involving flights, schedules, broadcasts

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Frequently asked

Questions parents ask about time and time zones

Why is time a Year 8 maths topic?

Because time arithmetic isn't base-10. Adding 30 minutes to 7:45 isn't the same as adding 0.30 to 7.45. Year 8 formalises the conversions and applies them to durations and time-zone calculations.

How do students convert between 12-hour and 24-hour time?

For PM times in 24-hour format, add 12 to the hour: 3:30 PM = 15:30. For AM times, the hour stays the same: 9:15 AM = 09:15. Midnight is 00:00, noon is 12:00.

How do time zones work?

Each zone is offset from UTC (Coordinated Universal Time) by a whole or half number of hours. Sydney and Melbourne are UTC+10 (or +11 in daylight saving), and Perth is UTC+8. New York is UTC-5. The difference between zones tells you the time gap.

What's the difference between AEST and AEDT?

AEST is Australian Eastern Standard Time (UTC+10), used in winter. AEDT is Australian Eastern Daylight Time (UTC+11), used in summer. Daylight saving starts on the first Sunday in October and ends on the first Sunday in April.

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