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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Transformations and constructions > Similarity

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How Big?

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

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Stage: 3 Challenge Level: Challenge Level:1

A tennis ball is served from directly above the baseline (assume the ball travels in a straight line). What is the minimum height that the ball can be hit at to ensure it lands in the service area?

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Is a Square a Rectangle?

Stage: 2 Challenge Level: Challenge Level:1

How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?