In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
Can you lay out the pictures of the drinks in the way described by
the clue cards?
Make new patterns from simple turning instructions. You can have a
go using pencil and paper or with a floor robot.
Here are some ideas to try in the classroom for using counters to investigate number patterns.
If you'd like to know more about Primary Maths Masterclasses, this
is the package to read! Find out about current groups in your
region or how to set up your own.
How do you know if your set of dominoes is complete?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Let's say you can only use two different lengths - 2 units and 4
units. Using just these 2 lengths as the edges how many different
cuboids can you make?
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Can you see which tile is the odd one out in this design? Using the
basic tile, can you make a repeating pattern to decorate our wall?
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
Kaia is sure that her father has worn a particular tie twice a week
in at least five of the last ten weeks, but her father disagrees.
Who do you think is right?
Can you fit the tangram pieces into the outlines of the workmen?
Using different numbers of sticks, how many different triangles are
you able to make? Can you make any rules about the numbers of
sticks that make the most triangles?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of this telephone?
This problem focuses on Dienes' Logiblocs. What is the same and
what is different about these pairs of shapes? Can you describe the
shapes in the picture?
What happens to the area of a square if you double the length of
the sides? Try the same thing with rectangles, diamonds and other
shapes. How do the four smaller ones fit into the larger one?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
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?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of the child walking home from school?
Here's a simple way to make a Tangram without any measuring or
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.
What are the next three numbers in this sequence? Can you explain
why are they called pyramid numbers?
Can you split each of the shapes below in half so that the two parts are exactly the same?
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
In how many ways can you fit two of these yellow triangles
together? Can you predict the number of ways two blue triangles can
be fitted together?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
How can you make a curve from straight strips of paper?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
These pictures show squares split into halves. Can you find other ways?
Take a rectangle of paper and fold it in half, and half again, to
make four smaller rectangles. How many different ways can you fold