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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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On the Road

Four vehicles travelled on a road with constant velocities. The car overtook the scooter at 12 o'clock, then met the bike at 14.00 and the motorcycle at 16.00. The motorcycle met the scooter at 17.00 then it overtook the bike at 18.00. At what time did the bike and the scooter meet?

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Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

Where Am I?

Stage: 3 and 4 Challenge Level: Challenge Level:1

On a weekend break a short while ago I saw this market cross.
Market Cross

On the side perhaps you can see that it has a plaque with distances to local and more distant towns:
Distance plaque

Where was I?
What is the minimum amount of information you need to know where I was? Is some of the information redundant?
Is some of the information more useful than other parts?
How accurate can you be about exactly where I was from the distances that are given?

Then why not think about the following questions:

Why has someone bothered to include so much information?
What can you find out about this place?
Can you make up similar problems of your own?