Working systematically
-
-
problemFive More Coins
Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?
-
problemBuild It Up More
This task follows on from Build it Up and takes the ideas into three dimensions!
-
problemOpen Boxes
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?
-
problemCentred Squares
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
-
problemDice Stairs
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
-
problemGeoboards
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
-
problemTiles on a Patio
How many ways can you find of tiling the square patio, using square tiles of different sizes?
-
problemWorms
Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?
-
problemNewspapers
When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?