11 Plus Spatial Reasoning

3D Shapes - Rotation

With this type of question you are given a number of images of a 3D shapes (labelled alphabetically) which are constructed from several different sized blocks.

You are also given the the same number of different images of 3D shapes that are
rotations of the first set of shapes. Each of these has a number of options that you can choose.

For each of these images you need to select which option matches the original
shape and is constructed from the same blocks.

The image can be rotated in any direction.

Also you have to ensure that the chosen option is made up of the correct type of blocks.

In this instance there are 3 blocks

1 long (equivalent to 3 cubes)
and 2 small cubes.

Let's look at an example.

You need to match each of the shapes at the top with one of the shapes on the bottom.




Begin by looking at one of the top shapes and identify how the shape is constructed.

Shape 'a' is made up of 3 blocks - 1 long (equivalent to 3 cubes) and 2 small cubes.
Compare this to the four options - only one of these is made up of the correct number and type of blocks. Is it a rotation of the original? - Yes - so you have found your first match.

Shape 'b' is the same shape as 'a' but is made up of 4 small cubes. Match this to one of the remaining options and you have found your second match.

Shape 'c' is made up of 3 blocks (each equivalent to 2 cubes) Compare this to the remaining
two options and you have found your third match.

Shape 'd' should match your remaining option - check this for rotation and correct
number of blocks and your done.

Hopefully you should have this result.


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CGP Books Practice working with Spatial Reasoning

with this 

3D Shapes - Rotation worksheet













CAT4 / 12 Plus papers