Challenge Level

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Challenge Level

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Challenge Level

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

Challenge Level

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Challenge Level

Can you find the squares hidden on these coordinate grids?

Challenge Level

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Challenge Level

How much of the square is coloured blue? How will the pattern continue?

Challenge Level

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

Challenge Level

Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Challenge Level

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Challenge Level

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

Challenge Level

What's special about the area of quadrilaterals drawn in a square?

Challenge Level

Can you describe this route to infinity? Where will the arrows take you next?

Challenge Level

Collect as many diamonds as you can by drawing three straight lines.

Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Challenge Level

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

Challenge Level

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Challenge Level

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

Challenge Level

Can you make a tetrahedron whose faces all have the same perimeter?

Challenge Level

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

Challenge Level

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Challenge Level

Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

Challenge Level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Challenge Level

Explore the lattice and vector structure of this crystal.