Working systematically

problem
Favourite

This Pied Piper of Hamelin

Age

7 to 11

Challenge level

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
problem
Favourite

How much did it cost?

Age

7 to 11

Challenge level

Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.
game

Daisy

Age

7 to 11

Challenge level

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?
problem
Favourite

Through the window

Age

7 to 11

Challenge level

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
problem
Favourite

Six numbered cubes

Age

7 to 11

Challenge level

This task combines spatial awareness with addition and multiplication.
problem

Display boards

Age

7 to 11

Challenge level

Design an arrangement of display boards in the school hall which fits the requirements of different people.
problem
Favourite

A4 fraction addition

Age

7 to 11

Challenge level

Try adding fractions using A4 paper.
problem
Favourite

Different deductions

Age

7 to 11

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?
problem

Seeing rhombuses

Age

7 to 11

Challenge level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
problem

Dart target

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.