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Mathematics Tools > Clock

##### Age 7 to 11 Challenge Level:

How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.

##### Age 11 to 14 Challenge Level:

On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?

##### Age 7 to 11 Challenge Level:

Use your knowledge of angles to work out how many degrees the hour
and minute hands of a clock travel through in different amounts of
time.

##### Age 7 to 11 Short Challenge Level:

These two challenges will test your time-keeping!

##### Age 5 to 11 Challenge Level:

Can you put these times on the clocks in order? You might like to arrange them in a circle.

##### Age 7 to 11 Challenge Level:

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

##### Age 7 to 11 Challenge Level:

Do you know the rhyme about ten green bottles hanging on a wall? If
the first bottle fell at ten past five and the others fell down at
5 minute intervals, what time would the last bottle fall down?

##### Age 7 to 11 Challenge Level:

Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

##### Age 7 to 11 Challenge Level:

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

##### Age 11 to 14 Challenge Level:

Is it possible to rearrange the numbers 1,2......12 around a clock
face in such a way that every two numbers in adjacent positions
differ by any of 3, 4 or 5 hours?

##### Age 7 to 11 Challenge Level:

These clocks have been reflected in a mirror. What times do they say?

##### Age 11 to 14 Challenge Level:

Which segment on a digital clock is lit most each day? Which
segment is lit least? Does it make any difference if it is set to
12 hours or 24 hours?

##### Age 7 to 11 Challenge Level:

Which times on a digital clock have a line of symmetry? Which look
the same upside-down? You might like to try this investigation and
find out!

##### Age 7 to 11 Challenge Level:

Can you put these mixed-up times in order? You could arrange them in a circle.

##### Age 7 to 11 Challenge Level:

This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.

##### Age 11 to 14 Challenge Level:

Sometime during every hour the minute hand lies directly above the hour hand. At what time between 4 and 5 o'clock does this happen?

##### Age 7 to 11 Challenge Level:

These clocks have only one hand, but can you work out what time
they are showing from the information?

##### Age 5 to 11

Bernard Bagnall recommends some primary school problems which use
numbers from the environment around us, from clocks to house
numbers.

##### Age 7 to 11 Challenge Level:

Where can you draw a line on a clock face so that the numbers on
both sides have the same total?