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

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Broad Topics > 3D Geometry, Shape and Space > Pyramids

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Always, Sometimes or Never? Shape

Stage: 2 Challenge Level: Challenge Level:1

Are these statements always true, sometimes true or never true?

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Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

An irregular tetrahedron has two opposite sides the same length a and the line joining their midpoints is perpendicular to these two edges and is of length b. What is the volume of the tetrahedron?

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Rectangular Pyramids

Stage: 4 and 5 Challenge Level: Challenge Level:1

Is the sum of the squares of two opposite sloping edges of a rectangular based pyramid equal to the sum of the squares of the other two sloping edges?