You and your friends are probably quite good at imagining things and seeing things in lots of different ways. Here you'll put that to use in doing some maths challenges.
![So it's 28](/sites/default/files/styles/medium/public/thumbnails/content-id-6778-icon.jpg?itok=VrLM4inY)
problem
So it's 28
Here is your chance to investigate the number 28 using shapes,
cubes ... in fact anything at all.
![Sorting Logic Blocks](/sites/default/files/styles/medium/public/thumbnails/content-id-7192-icon.gif?itok=xVxVFK--)
![Poly Plug Rectangles](/sites/default/files/styles/medium/public/thumbnails/content-id-7511-icon.png?itok=jGv2RY6A)
problem
Poly Plug Rectangles
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
![Poly Plug Pattern](/sites/default/files/styles/medium/public/thumbnails/content-id-7515-icon.png?itok=DUDUFygU)
problem
Poly Plug Pattern
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
![Let's Investigate Triangles](/sites/default/files/styles/medium/public/thumbnails/content-01-09-bbprob2-icon.gif?itok=t7U4-AYC)
problem
Let's Investigate Triangles
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
![Chairs and Tables](/sites/default/files/styles/medium/public/thumbnails/content-id-2908-icon.png?itok=bxc2cU_6)
problem
Chairs and Tables
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
![Matching Triangles](/sites/default/files/styles/medium/public/thumbnails/content-id-5638-icon.png?itok=2JXmQ0c4)
problem
Matching Triangles
Can you sort these triangles into three different families and explain how you did it?
![How Many Pieces?](/sites/default/files/styles/medium/public/thumbnails/content-id-5880-icon.png?itok=rARDGujw)
![Holes](/sites/default/files/styles/medium/public/thumbnails/content-id-6529-icon.gif?itok=fzVckv3X)
problem
Holes
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
![Teddy Town](/sites/default/files/styles/medium/public/thumbnails/content-02-05-bbprob1-icon.gif?itok=xjgU3483)
problem
Teddy Town
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
![Four Colours](/sites/default/files/styles/medium/public/thumbnails/content-01-12-penta4-icon.jpg?itok=WtOYtfQ9)
problem
Four Colours
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
![Two on Five](/sites/default/files/styles/medium/public/thumbnails/content-97-11-bbprob1-icon.jpg?itok=DEr9oypv)
problem
Two on Five
Take 5 cubes of one colour and 2 of another colour. How many
different ways can you join them if the 5 must touch the table and
the 2 must not touch the table?
![Hundred Square](/sites/default/files/styles/medium/public/thumbnails/content-id-2397-icon.gif?itok=CU5wPqS3)
problem
Hundred Square
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
![Making Shapes](/sites/default/files/styles/medium/public/thumbnails/content-id-2652-icon.jpg?itok=PsV26Bzm)
problem
Making Shapes
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
![Caterpillars](/sites/default/files/styles/medium/public/thumbnails/content-id-5742-icon.png?itok=oNkTmRK-)
problem
Caterpillars
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
![Building with Cubes](/sites/default/files/styles/medium/public/thumbnails/content-id-5817-icon.png?itok=FkzTaIwD)
problem
Building with Cubes
Try to picture these buildings of cubes in your head. Can you make
them to check whether you had imagined them correctly?
![Happy Halving](/sites/default/files/styles/medium/public/thumbnails/content-02-03-letme1-icon.jpg?itok=pctM5nXg)
problem
Happy Halving
Can you split each of the shapes below in half so that the two parts are exactly the same?
![Start Cube Drilling](/sites/default/files/styles/medium/public/thumbnails/content-id-5821-icon.png?itok=LphgQJj1)
problem
Start Cube Drilling
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?
![Square It](/sites/default/files/styles/medium/public/thumbnails/content-id-2526-icon.png?itok=ay-_3wou)
problem
Square It
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.