List

Reasoning geometrically

Coordinate Patterns
problem

Coordinate patterns

Age
11 to 14
Challenge level
filled star filled star empty star
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Route to infinity
problem

Route to infinity

Age
11 to 14
Challenge level
filled star filled star empty star
Can you describe this route to infinity? Where will the arrows take you next?
Marbles in a box
problem

Marbles in a box

Age
11 to 16
Challenge level
filled star filled star empty star

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Kite in a Square
problem

Kite in a square

Age
14 to 18
Challenge level
filled star filled star empty star

Can you make sense of the three methods to work out what fraction of the total area is shaded?

Hidden Squares
problem

Hidden squares

Age
11 to 14
Challenge level
filled star empty star empty star

Can you find the squares hidden on these coordinate grids?

3D shapes
list

3D shapes

Challenge level
filled star empty star empty star
Working on these problems will help you develop a better understanding of three dimensional shapes.