Working systematically

problem

Sums and Differences 2

Age

7 to 11

Challenge level

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
game

First Connect Three for Two

Age

7 to 11

Challenge level

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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'.
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

Rearranged Rectangle

Age

7 to 11

Challenge level

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

Five More Coins

Age

7 to 11

Challenge level

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?
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?
problem

Centred Squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
problem

Dice Stairs

Age

7 to 11

Challenge level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
problem

Geoboards

Age

7 to 11

Challenge level

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.