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How many times in twelve hours do the hands of a clock form a right angle?
What are these times to the nearest minute?
This problem is one which could be done as an introduction when extending or revising work on time and clocks. It will encourage the use of digital times.
At what time is the first right angle after 12 o'clock?
Why is it not just 15 minutes later?
Can you write down these times using digital notation
Why is the number of times not divisible by 4?
Learners could find out the times for 24 hours and record using 24 hour digital notation.
Using a geared clock would be helpful. (Some 'play' clocks allow you to move the minute and hour hands separately, which can lead to the hands being placed in an impossible way!)
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!
This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
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?