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🕗 12-Hour and 24-Hour Time

Read any clock to the exact minute, then crack the code that connects the two ways we write time. Turn 3:45 pm into 15:45 and back again without breaking a sweat.

7
lessons
~20 min
to learn
🔢 Math
subject
Adults
level
Start the course →

What you’ll learn

  1. Reading the ClockRead an analog clock to the exact minute using the hour and minute hands.The short hand shows the hour and the long hand shows the minutes. Clock numbers are counted in fives for minutes, and single tick marks give the exact minute. This foundation makes every later idea easier.
  2. Minutes Past and ToUse the phrases o'clock, quarter past, half past, and quarter to.Common time phrases come from slicing the 60-minute hour: half past is 30 minutes, quarter past is 15, and quarter to is 15 minutes before the next hour. Seeing the hour as a circle to divide makes the words clear.
  3. AM and PMExplain why the 12-hour clock needs am and pm, including noon and midnight.A clock face shows only 1–12, so each hour occurs twice daily. am means before noon and pm means after noon, splitting the day in two. The tricky pair is 12 am (midnight) and 12 pm (noon).
  4. The 24-Hour ClockRead 24-hour times, which count 00:00 to 23:59 without am or pm.The 24-hour clock keeps counting past noon (13:00, 14:00 …) so every hour appears once. Times are written with four digits, and the number itself shows which half of the day it is, so no am/pm is needed.
  5. Turning 12 into 24Convert a 12-hour time to 24-hour time by adding 12 in the afternoon.Morning (am) hours keep their value written with two digits; afternoon and evening (pm) hours have 12 added. Minutes never change. Special cases: 12 midnight is 00:00 and 12 noon is 12:00.
  6. Turning 24 into 12Convert a 24-hour time back to 12-hour time by subtracting 12 when the hour is 13 or more.Hours of 12 or less are mostly am (with 00 as 12 am and 12 as 12 pm). Hours of 13 or more have 12 subtracted and become pm. As always, the minutes stay the same.
  7. Using It Every DayApply time conversion to real timetables and schedules.Timetables, TV guides, and transport boards use the 24-hour clock to avoid am/pm confusion. Reading them means converting confidently: hours of 13 or more are afternoon or later, found by subtracting 12.

Questions this course answers

Which hand tells you the minutes?

The long, thin hand is the minute hand; the short, fat hand is the hour hand.

The minute hand points to the 3. How many minutes past the hour is that?

You count the clock numbers in fives for minutes: 1→5, 2→10, 3→15. So it's 15 minutes past.

What does 'half past three' mean?

Half of 60 minutes is 30, so 'half past three' is 30 minutes past three: 3:30.

Which of these times is in the pm half of the day?

pm is noon and after. Dinner at 6:00 is in the evening (6:00 pm); the others are all in the morning (am).

What time is 12 o'clock in the middle of the day?

Noon (midday) is 12 pm. Midnight, the start of the day, is 12 am — this is the pair people mix up most.

On the 24-hour clock, what is midnight?

The 24-hour clock starts each day at 00:00 (midnight) and counts up to 23:59.

Grounded in trusted sources

  • National Institute of Standards and Technology (NIST) — 'Times of Day' and 12-hour vs 24-hour time
  • BBC Bitesize — 'The 24-hour clock' (KS2 Maths)
  • Royal Museums Greenwich — 'What is the 24-hour clock?'

Every Wunder lesson is built from real, reputable sources — never invented.

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