Visualising and representing

problem
Oldest and youngest

Age

14 to 16

Challenge level

Edith had 9 children at 15 month intervals. If the oldest is now six times as old as the youngest, how old is her youngest child?
problem
Squares in a square

Age

11 to 14

Challenge level

In the diagram, the small squares are all the same size. What fraction of the large square is shaded?
problem
Semicircular design

Age

14 to 16

Challenge level

Weekly Problem 9 - 2016
The diagram to the right shows a logo made from semi-circular arcs. What fraction of the logo is shaded?
problem
Travelling by train

Age

14 to 16

Challenge level

Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?
problem
Doubly symmetric

Age

11 to 14

Challenge level

What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?
problem
Growing surprises

Age

11 to 14

Challenge level

Can you find the connections between linear and quadratic patterns?
problem
Square number surprises

Age

14 to 16

Challenge level

There are unexpected discoveries to be made about square numbers...
problem
Multiple surprises

Age

11 to 16

Challenge level

Sequences of multiples keep cropping up...
problem
Fibonacci surprises

Age

11 to 14

Challenge level

Play around with the Fibonacci sequence and discover some surprising results!
problem
Colourful cube

Age

11 to 14

Challenge level

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?