Working systematically

problem

Birthday Cake Candles

Age

7 to 11

Challenge level

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.
problem

Multilink Cubes

Age

7 to 11

Challenge level

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

Prompt Cards

Age

7 to 11

Challenge level

These two group activities use mathematical reasoning - one is numerical, one geometric.
problem

3 Rings

Age

7 to 11

Challenge level

If you have three circular objects, you could arrange them so that they are separate, touching, overlapping or inside each other. Can you investigate all the different possibilities?
problem

Tri.'s

Age

7 to 11

Challenge level

How many triangles can you make on the 3 by 3 pegboard?
problem

Street Party

Age

7 to 11

Challenge level

The challenge here is to find as many routes as you can for a fence to go so that this town is divided up into two halves, each with 8 blocks.
problem

New House

Age

7 to 11

Challenge level

In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
problem

Fencing Lambs

Age

7 to 11

Challenge level

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
problem

It's All About 64

Age

7 to 11

Challenge level

Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
problem

Halloween Investigation

Age

7 to 11

Challenge level

Ana and Ross looked in a trunk in the attic. They found old cloaks and gowns, hats and masks. How many possible costumes could they make?