We have a box of cubes, triangular prisms, cones, cuboids,
cylinders and tetrahedrons. Which of the buildings would fall down
if we tried to make them?
Is there a best way to stack cans? What do different supermarkets
do? How high can you safely stack the cans?
How many balls of modelling clay and how many straws does it take
to make these skeleton shapes?
If you had 36 cubes, what different cuboids could you make?
Can you make a 3x3 cube with these shapes made from small cubes?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
Make a cube out of straws and have a go at this practical
We start with one yellow cube and build around it to make a 3x3x3
cube with red cubes. Then we build around that red cube with blue
cubes and so on. How many cubes of each colour have we used?
Which of the following cubes can be made from these nets?
The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?
Try making 3D patterns in two dimensions with LOGO
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
Imagine you are suspending a cube from one vertex (corner) and
allowing it to hang freely. Now imagine you are lowering it into
water until it is exactly half submerged. What shape does the
surface. . . .
A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
A 3x3x3 cube may be reduced to unit cubes in six saw cuts. If after
every cut you can rearrange the pieces before cutting straight
through, can you do it in fewer?
Learn how to use lookup functions to create exciting interactive
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Take any whole number between 1 and 999, add the squares of the
digits to get a new number. Use a spreadsheet to investigate this
In a three-dimensional version of noughts and crosses, how many winning lines can you make?
What is the volume of the solid formed by rotating this right
angled triangle about the hypotenuse?
Label this plum tree graph to make it totally magic!
Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.
You add 1 to the golden ratio to get its square. How do you find higher powers?
Investigate the family of graphs given by the equation x^3+y^3=3axy
for different values of the constant a.