3D reasoning

This collection contains resources from the website 1001mathproblems.com by Sian Zelbo. Topics covered are 2D representations of 3D space, 3D spatial reasoning, and names of 3D shapes. The materials are ideal for use with Key Stage 3 students.  

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Mobius highway

Three cars drive on a highway twisted into a Mobius strip. Each car stays in its lane and are driven at the same speed. The challenge is to work out what will happen and if the cars will ever meet. This resource is suitable for Key Stage 3.

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Coloured blocks problem

This puzzle is ideaL when working on 2D representations of 3D space. The top, side and front view of a stack of blocks is shown. The challenge is to work out how many blocks of each colour are in the stack. This resource is suitable for Key Stage 3.

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Keyhole problem

Three shapes constructed from cubes are presented. The challenge is to find the smallest ‘keyhole’ that the blocks will fit through, provided ‘turning’ is not allowed. This resource is suitable for Key Stage 3 and could be used as an extension to the topic of 2D representations of 3D shapes.

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Transparent cube problem

A transparent cube has a wire wrapped around it. The Top, Side and Front views are presented and then three cubes with wire are presented. The challenge is to determine which cube goes with the 2D views. A further challenge is to show the 2D representations for the remaining cubes. This resource is suitable for Key...

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