Visualising and representing

problem
Twice as big?

Age

7 to 11

Challenge level

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
problem
Shape times shape

Age

7 to 11

Challenge level

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
problem
Painted faces

Age

7 to 11

Challenge level

Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?
problem
More building with cubes

Age

7 to 11

Challenge level

Here are more buildings to picture in your mind's eye. Watch out - they become quite complicated!
problem
Reef and Granny

Age

7 to 11

Challenge level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
problem
Sea level

Age

7 to 11

Challenge level

What numbers would you put on this number line as it goes under the sea level?
problem
Putting two and two together

Age

7 to 11

Challenge level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem
Magic Vs

Age

7 to 11

Challenge level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
problem
Coded hundred square

Age

7 to 11

Challenge level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
problem
28 - upward and onward

Age

7 to 11

Challenge level

Can you find ways of joining cubes together so that 28 faces are visible?