Working systematically

problem

Latin Lilies

Age

7 to 14

Challenge level

In this game you are challenged to gain more columns of lily pads than your opponent.
problem

Charitable Pennies

Age

7 to 14

Challenge level

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
problem

Number Sandwiches

Age

7 to 14

Challenge level

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
problem

Tea Cups

Age

7 to 14

Challenge level

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
problem

More Children and Plants

Age

7 to 14

Challenge level

This challenge extends the Plants investigation so now four or more children are involved.
problem

More Plant Spaces

Age

7 to 14

Challenge level

This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
problem

Building With Longer Rods

Age

7 to 14

Challenge level

A challenging activity focusing on finding all possible ways of stacking rods.
problem

Colour in the Square

Age

7 to 16

Challenge level

Can you put the 25 coloured tiles into the 5 × 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
problem

Central Sum

Age

11 to 14

Challenge level

Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?
problem

Medal Muddle

Age

11 to 14

Challenge level

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?