Addition and subtraction

problem

A Numbered Route

Age

7 to 11

Challenge level

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
problem

Function Machines

Age

7 to 11

Challenge level

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
problem

Magic Matrix

Age

7 to 11

Challenge level

Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
problem

Rabbits in the Pen

Age

7 to 11

Challenge level

Using the statements, can you work out how many of each type of rabbit there are in these pens?
problem

Bundles of Cubes

Age

7 to 11

Challenge level

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
problem

Napier's Bones

Age

7 to 11

Challenge level

The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
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.
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

Sometimes We Lose Things

Age

7 to 11

Challenge level

Well now, what would happen if we lost all the nines in our number system? Have a go at writing the numbers out in this way and have a look at the multiplications table.