Working systematically

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
Rod area

Age

7 to 11

This task challenges you to create symmetrical U shapes out of rods and find their areas.
problem
Rearranged rectangle

Age

7 to 11

Challenge level

How many different rectangles can you make using this set of rods?
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
Neighbourly addition

Age

7 to 14

Challenge level

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
problem
The Number Jumbler

Age

7 to 14

Challenge level

The Number Jumbler can always work out your chosen symbol. Can you work out how?
problem
Tables teaser

Age

5 to 7

Challenge level

How will you work out which numbers have been used to create this multiplication square?
problem
Sticky dice

Age

7 to 11

Challenge level

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?
problem
Window frames

Age

5 to 14

Challenge level

This task encourages you to investigate the number of edging pieces and panes in different sized windows.
problem
Folded number line

Age

7 to 11

Challenge level

When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.