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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Some(?) of the Parts

A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle

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Ladder and Cube

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

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

190 km

One mile is approximately equal to 1.6 kilometers so 120 miles are approximately equal to 190 kilometers.

This problem is taken from the UKMT Mathematical Challenges.
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