Slippage Age 14 to 16 Challenge Level: A ladder 3m long rests against a wall with one end a short distance from its base. Fit for Photocopying Age 14 to 16 Challenge Level: Explore the relationships between different paper sizes. Each position P' takes will fix a corresponding position for P. You are only given the three midpoints of the sides of a triangle. Folding Squares Age 14 to 16 Challenge Level: The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. From All Corners Age 14 to 16 Challenge Level: Straight lines are drawn from each corner of a square to the mid points of the opposite sides. All Tied Up Age 14 to 16 Challenge Level: A ribbon runs around a box so that it makes a complete loop with two parallel pieces of ribbon on the top. How long will the ribbon be?
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