01 — Explanation
How do I convert between units of time?
year days; standard relationships apply between seconds, minutes, hours, days, weeks, and months — always check which unit the question wants before converting.
02 — Explanation
How do I read and calculate with the 24-hour clock?
15:15 means 3.15 p.m.; 03:15 means 3.15 a.m. When adding a duration to a 24-hour time and the total reaches or passes 24:00, subtract hours and move the date forward by one day.
03 — Explanation
How do I solve a problem involving time zones?
Time zones are given relative to UTC/GMT — e.g. UTC means hours ahead of UTC. To convert a local time from one zone to another, add or subtract the difference between their offsets, remembering that moving to a zone with a larger offset means adding time.
Examiner Tip: The two things everyone forgets under time pressure: (1) rolling the calendar day forward once a running total passes , and (2) which direction to move when crossing into a zone with a bigger UTC offset.
Worked Example
A flight leaves London (UTC) at 23:40 on Monday. The flight takes hours minutes. The destination, Singapore, is UTC. Find the local day and time of arrival in Singapore.
- Add the flight duration in London time: .
- This exceeds hours, so subtract and move the day forward by one: on Tuesday (London time).
- Convert to Singapore local time by adding the -hour zone difference: .
- This stays within the same day, so arrival is
19:30on Tuesday, Singapore time.
04 — Explanation
What are the standard unit relationships I need to know by heart?
| Relationship | Value |
|---|---|
| Seconds in a minute | |
| Minutes in an hour | |
| Hours in a day | |
| Days in a week | |
| Days in a year | (the syllabus does not require leap-year adjustments) |
These conversions chain together for less direct questions — e.g. converting a duration given in seconds into hours means dividing by twice, then by if it also needs to become days.
05 — Explanation
How do I calculate a duration directly from a timetable, without converting to decimal hours?
Subtract the start time from the end time by working in whole minutes throughout, borrowing an hour (as minutes) if the minutes of the start time are larger than the minutes of the end time — exactly like column subtraction, but base instead of base .
Worked Example
A train departs at 09:45 and arrives at 13:20. Find the journey time.
- Minutes: can't be done directly, so borrow hour ( minutes) from the hours column: minutes.
- Hours: since hour was borrowed, compute hours.
- The journey takes hours minutes.
Examiner Tip: Never subtract the times as if they were ordinary decimals (e.g. , then misreading that as "3 hours 75 minutes" or "3.75 hours"). Time is base , not base — always borrow minutes, not .