The two hands of a clock move together

Years 1–4Stage 1 to Stage 2Move it

A clock's two hands are joined, so they turn together. Find out how far each hand goes in one hour.

Demonstration: a simplified model1 · O'clock

An analogue clock at 2:00. Time: Two o'clock. Part of the hour gone: None, it is o'clock. Hour hand: On the hour number.

Minute hand on 12, hour hand on 2: 2 o'clock.

  1. Hour hand
  2. Minute hand

Key Short and thick: the hour hand. Long, thin and blue: the minute hand. Shaded: the minutes past the hour (none at o'clock). The hour hand's curve: solid for how far it has gone, dashed for the rest of its way to the next number. Dashed hands: the hands when the run began and at each quarter hour.

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The idea, step by step

  1. An analogue clock at 2:15. Time: Quarter past two. Part of the hour gone: A quarter. Hour hand: A quarter of the way to the next number.
    2 · Quarter pastHour hand: a quarter of the way to 3.A Hour hand · B Minute hand · C Minutes past
  2. An analogue clock at 2:30. Time: Half past two. Part of the hour gone: A half. Hour hand: Halfway to the next number.
    3 · Half pastHalf past 2. Hour hand: halfway from 2 to 3.A Hour hand · B Minute hand · C Minutes past
  3. An analogue clock at 2:45. Time: Quarter to three. Part of the hour gone: Three quarters. Hour hand: Three quarters of the way to the next number.
    4 · Quarter toQuarter to 3. The hour hand is not yet on 3.A Hour hand · B Minute hand · C Minutes past
  4. An analogue clock at 3:00, one hour after the run began. Dashed hands show where both hands were when the run began and at each quarter hour. Time: Three o'clock. Hour hand: On the hour number.
    6 · An hour laterOne hour on: minute hand once round, hour hand 2 to 3.A Hour hand · B Minute hand

The quarter hours of this hour, and where the hands point

TimeMinute hand points toHour handIn the first figure
Two o'clock12On the hour numberShown
Quarter past two3A quarter of the way to the next number
Half past two6Halfway to the next number
Quarter to three9Three quarters of the way to the next number
Three o'clock12On the hour number
With a learner

Three questions to ask

  1. Which hand shows the hours, and which shows the minutes?
  2. At half past two, where is the hour hand?
  3. Press Run one hour. How far did each hand go?

What to expect

Many learners put the hour hand straight on the two at half past two.

What to try next

Open a practical in Try it in the Lab, above, to turn the hands of a real geared clock.

About this model

What is simplified

  • The face shows twelve hours, so it cannot tell morning from afternoon. The digital time is twelve-hour time.
  • There is no second hand. The hands move smoothly, as they do on a geared clock.
  • Run one hour is sped up: a quarter of an hour passes each second.
  • Dragging the minute hand past the top moves the hour hand on or back one number, as setting a real geared clock does.
  • The numbers sit outside the ring of minute marks, so no hand ever covers a number.

Numbers and their sources

Review

Demonstration: a simplified model. Checked against its written sources, 26 September 2026. Not reviewed by a qualified teacher.

Curriculum references

MA1-NSM-02MA2-NSM-02MAO-WM-01AC9M2M04AC9M3M03AC9M3M04

Reference, not a verified alignment.

All demonstrations Practicals in the Lab