Question P6 Seeing it move
Today’s problem — free all day, every step. Every day has one.
Ravi has a square piece of canvas of side 31 cm. He cuts along the dotted lines to get one small square of area 289 cm² and 8 identical right-angled triangles. Triangle XYZ is one such triangle. Find the length of XY.
Answer
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Work out where the pieces land after a fold, cut or stack.
In this one. The same two triangle legs give both a sum and a difference: their sum is the outer square’s side, while their difference is the small square’s side.
Words like 'folded', 'cut along the dotted line' or 'stacked' appear beside a shape, and the question asks for a length or angle that only makes sense once the pieces are in their new positions.
Children try to calculate the answer before working out where the pieces actually end up, skipping the visualisation step that the whole question depends on.
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