11+ Non-Verbal Reasoning icon

NVR Study Notes

Counting 3D Blocks

Count All Layers

Count All Layers

Stacks may be 1, 2, or 3 layers tall. Count each layer separately, then add them up.

Tip: Start at the bottom and work upward.

Don't Forget Hidden Supports

Don't Forget Hidden Supports

A cube high in the stack must be supported by cubes below it, even if you can't see them.

Tip: If you can see a cube on top, mentally add all the cubes directly underneath.

Read the Iso View Carefully

Read the Iso View Carefully

Iso view shows the TOP face of each cube as a rhombus, the LEFT face as a tilted parallelogram, the RIGHT face as another parallelogram.

Tip: Top faces with hatching make it easier to spot how many cubes are 'on the roof'.

Subtract Empty Spaces

Subtract Empty Spaces

When the stack has a notch or step, count the FULL block (e.g., 2x2x2 = 8) and subtract the missing cubes.

Tip: Sometimes it's quicker to count what's missing than what's there.