Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Football Sum
problem

Football sum

Age
11 to 14
Challenge level
filled star filled star empty star
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Charitable Pennies
problem

Charitable pennies

Age
7 to 14
Challenge level
filled star empty star empty star
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
Rod Area
problem

Rod area

Age
7 to 11
This task challenges you to create symmetrical U shapes out of rods and find their areas.
Rearranged Rectangle
problem

Rearranged rectangle

Age
7 to 11
Challenge level
filled star empty star empty star
How many different rectangles can you make using this set of rods?
Latin Lilies
problem

Latin lilies

Age
7 to 14
Challenge level
filled star empty star empty star
In this game you are challenged to gain more columns of lily pads than your opponent.
Neighbourly Addition
problem

Neighbourly addition

Age
7 to 14
Challenge level
filled star empty star empty star
I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
Sticky Dice
problem

Sticky dice

Age
7 to 11
Challenge level
filled star empty star empty star
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?
Window frames
problem

Window frames

Age
5 to 14
Challenge level
filled star empty star empty star
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
Folded Number Line
problem

Folded number line

Age
7 to 11
Challenge level
filled star empty star empty star
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'.
Possible Pieces
problem

Possible pieces

Age
5 to 11
Challenge level
filled star empty star empty star
Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?