Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically

problem

Painting possibilities

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.

problem

Open squares

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?

problem

Fraction lengths

Age

7 to 11

Challenge level

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

problem

Linked chains

Age

7 to 11

Challenge level

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

problem

Jigsaw pieces

Age

7 to 11

Challenge level

How will you go about finding all the jigsaw pieces that have one peg and one hole?

problem

Birthday cake candles

Age

7 to 11

Challenge level

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

$Build it \Up more$

problem

Build it up more

Age

7 to 11

Challenge level

This task follows on from Build it Up and takes the ideas into three dimensions!

problem

Open boxes

Age

7 to 11

Challenge level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

article

Phiddlywinks - a tribute to john conway

Read this article to find out more about the inspiration for NRICH's game, Phiddlywinks.

list

Being resourceful - primary number

Age

5 to 11

Challenge level

Number problems at primary level that require careful consideration.