Spatial

Turn shapes and compare different views.

26 practices37 lessons

Try a practice

Learn a method

Browse lessons

Follow a gear train

Use gear ratios, shared shafts and direction changes to solve simple and compound gear trains.

6 min

Goes with Gears

Read cube notation

Learn the six face letters, and what a prime mark and a 2 change.

3 min

Goes with Cube moves

Track a strip through several turns

Follow three known stickers through a scrambled cube, updating their position and order after each turn.

4 min

Goes with Cube moves

Fold a cube net

Follow shared edges to find which cube faces end up opposite.

3 min

Goes with Cube Nets

Cut a solid

Find the flat shape where a plane cuts through a cube or rectangular block.

3 min

Goes with Cross sections

Find a missing view

Use the top and front views of stacked cubes to find the view from the right.

3 min

Goes with Cube views

Match a marked cube

Use opposite faces and the order of marks around a corner to match a net to its cube.

3 min

Goes with Cube Nets

Undo a turn

Learn how to put a cube back after one turn, and after a short run of them.

3 min

Goes with Turn the cube

Turn a corner

Learn what one corner turn of the pyramid puzzle moves, and why the tips can wait.

3 min

Goes with Turn the pyramid

Edges first for the knight

Learn why a knight visits the squares near the edge early, and how one rule from 1823 picks the next move.

3 min

Goes with Knight's tour

Big triangles first

Use the areas of the tangram pieces and the outline’s corners to choose a useful starting point.

3 min

Goes with Tangram

Build to match two views

Read the front view for each column and the right view for each row, then fill in the rest. See how few and how many cubes can cast the same two views.

3 min

Goes with Build from two views

Follow the mark

Keep each mark on its face and follow its direction as a net folds into a cube.

3 min

Goes with Cube Nets

Choose the extra clue

Two solids match the given views. Choose one observation that tells them apart.

3 min

Goes with Cube views

Sign in free

Practice without limits and keep your progress.