Time

There are 102 NRICH Mathematical resources connected to Time
Sweeping Hands
problem

Sweeping Hands

Age
7 to 11
Challenge level
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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.
Twizzle's Journey
problem

Twizzle's Journey

Age
5 to 7
Challenge level
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Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
Three of a Kind
problem

Three of a Kind

Age
11 to 14
Challenge level
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How long is it between 5:55 and the next time all three digits on a digital clock are the same?
Out of Sync
problem

Out of Sync

Age
11 to 14
Challenge level
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Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?
Millennium Leap
problem

Millennium Leap

Age
11 to 14
Challenge level
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How many leap years will there be between 2001 and 3001?
Circuit training
problem

Circuit training

Age
14 to 16
Challenge level
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Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?
An Unhappy End
problem

An Unhappy End

Age
11 to 14
Challenge level
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Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
Buses
problem

Buses

Age
11 to 14
Challenge level
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A bus route has a total duration of 40 minutes. Every 10 minutes, two buses set out, one from each end. How many buses will one bus meet on its way from one end to the other end?
N is a Number
problem

N is a Number

Age
11 to 14
Challenge level
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N people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road?
John's train is on time
problem

John's train is on time

Age
11 to 14
Challenge level
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A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?