Visualising and representing

problem
Reach 100

Age

7 to 11

Challenge level

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
problem
Two primes make one square

Age

7 to 11

Challenge level

Can you make square numbers by adding two prime numbers together?
problem
Three cubed

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

A group activity using visualisation of squares and triangles.
problem
Inside seven squares

Age

7 to 11

Challenge level

What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?
problem
A square in a circle

Age

7 to 11

Challenge level

What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
problem
A chain of eight polyhedra

Age

7 to 11

Challenge level

Can you arrange the shapes in a chain so that each one shares a face (or faces) that are the same shape as the one that follows it?
problem
Right or left?

Age

7 to 11

Challenge level

Which of these dice are right-handed and which are left-handed?
problem
Fred the class robot

Age

7 to 11

Challenge level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
problem
Multiples grid

Age

7 to 11

Challenge level

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?