February 2003, Stage 1&2

Problems

problem icon

Building with Solid Shapes

Stage: 1 Challenge Level: Challenge Level:1

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?

problem icon

Baked Bean Cans

Stage: 1 Challenge Level: Challenge Level:1

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

problem icon

Skeleton Shapes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

problem icon

Multilink Cubes

Stage: 2 Challenge Level: Challenge Level:1

If you had 36 cubes, what different cuboids could you make?

problem icon

Three Cubed

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make a 3x3 cube with these shapes made from small cubes?

problem icon

Cereal Packets

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

problem icon

Construct-o-straws

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Make a cube out of straws and have a go at this practical challenge.

problem icon

Cubes Within Cubes

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

problem icon

Cubic Conundrum

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Which of the following cubes can be made from these nets?

problem icon

Playground Snapshot

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

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?