📏 Measurement

🕐Telling Time

The hour hand strolls, the minute hand dashes — learn how the two hands divide the work and every clock face opens up.

The wall clock ticks away, yet first-time clock readers keep tripping over the same puzzle: the hour hand sits near the 9 while the minute hand points at 6 — so what time is it, exactly? The key is understanding what each hand is in charge of. Unit conversions (1 hour = 60 minutes) are already covered in time and conversions; this lesson is purely about how to read the clock.

Two hands, two jobs

The clock face is divided by its 12 numbers into 12 big marks, and each big mark splits into 5 small ones — 60 small marks all the way around.

  • The hour hand (short): the slow one, taking 12 hours per lap; each big mark it passes is 1 hour;
  • The minute hand (long): far more industrious, finishing a lap in 60 minutes; each small mark is 1 minute, each big mark 5 minutes.

When the minute hand moves from 12 to 3, it crosses 3 big marks — 15 minutes. From 12 back to 12 is exactly one hour. For the hour hand, always notice which two numbers it sits between: an hour hand between the 4 and the 5 means it is some minutes past 4 o'clock, not yet 5.

O'clock, half past, and the quarter hour

  • O'clock: the minute hand on 12 and the hour hand square on a number — hour hand on 7, minute hand on 12, so 7 o'clock sharp;
  • Half past: the minute hand on 6, and the hour hand resting exactly halfway between two numbers;
  • A quarter hour: one quarter = 15 minutes, exactly 14\frac{1}{4} of an hour — the fraction from the lesson on fractions. Minute hand on 3 is "quarter past", on 9 it is "quarter to".

"Ten past" versus "ten to"

Clock language runs in two directions. "Ten past nine" counts forward from 9:00 — that is 9:10. "Ten to nine" counts backward: still 10 minutes short of nine o'clock, so it is 8:50. Hearing "past", add to the hour; hearing "to", subtract from the next one. The two phrases differ by a single word yet sit a full 20 minutes apart — 8:50 and 9:10 squeeze the 9 o'clock mark from both sides.

Try the math

Read this clock face

The hour hand has just passed the 4 and not yet reached the 5; the minute hand points at 6. Hour hand between 4 and 5 — so it is past 4 o'clock; minute hand on 6 — half an hour gone. Together: 4:30, half past four. Short hand first to fix the hour, long hand second to fix the minutes — never the reverse order.

How long was the movie?

The film starts at 4:05 and ends at 5:50 — how long did it run? From 4:05 to 5:05 is a full hour; from 5:05 to 5:50 is another 45 minutes. Total: 1 hour 45 minutes. You can also subtract directly: 5 h 50 min − 4 h 5 min, minutes from minutes and hours from hours; when the minutes run short, borrow 1 hour and exchange it for 60 minutes.

Check yourself

Quick quiz

  1. 1. The minute hand moves from 12 to 3. How much time passed?

  2. 2. It is 8:50. What time is it 20 minutes later?

  3. 3. How much time passes from 3:40 to 4:15?