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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Drafter's puzzles

The Top, Side and Front views of shapes are given. The challenge is to make the shapes using cubes. As an extension, 3D representations of the shapes can be drawn on isometric paper. This resource is suitable for Key Stage 3 and could be used as an extension of the topic of 2D representations of 3D shapes.

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Hole punching problem

Origami squares are shown with different colours on each side of the paper. Two folds are made and then a hole is punched through all of the layers. The challenge is to determine where the holes appear when the squares of paper are unfolded. This resource is suitable for Key Stage 3 and could be used as an...

Six toothpicks problem

An equilateral triangle is shown that has been made using three toothpicks. Three further toothpicks are given and the challenge is to find a way of using them to create a total of four equilateral triangles the same size as the first one. This challenge is suitable for Key Stage 3 and ideal to use when teaching...

Floating blocks problem

Six shapes are presented in different 3D orientations. The task is to find which of the shapes is identical.

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