Two Twins and Tim

Where should the five friends meet to minimise the total walking distance?

Tim is represented by the circle marked 1

Each of the circles marked 2 represents a pair of twins.

They can only walk along the grid lines.

Choose a meeting point. Calculate the distance all five people will have to walk added together to get there. Is that the best place to meet?

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Coordinates | Problem Solving | Puzzles

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  • This is more of a substantial thinking task isn't it? While younger pupils might make a sensible guess (with justification) more advanced students of mathematics might come up with an algorithm for finding that optimal meeting point. Remember that the positions of Tim and the twins changes each time you refresh the page so there is ample opportunity to test those algorithms.

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