Can you each work out what shape you have part of on your card? What will the rest of it look like?
Can you lay out the pictures of the drinks in the way described by
the clue cards?
If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
These pictures show squares split into halves. Can you find other ways?
What is the greatest number of squares you can make by overlapping
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
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.
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Cut a square of paper into three pieces as shown. Now,can you use
the 3 pieces to make a large triangle, a parallelogram and the
Move four sticks so there are exactly four triangles.
Can you make five differently sized squares from the tangram
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5,
Ideas for practical ways of representing data such as Venn and
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
An activity making various patterns with 2 x 1 rectangular tiles.
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Have you ever noticed the patterns in car wheel trims? These
questions will make you look at car wheels in a different way!
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
What do these two triangles have in common? How are they related?
Exploring and predicting folding, cutting and punching holes and
Make a cube out of straws and have a go at this practical
We can cut a small triangle off the corner of a square and then fit
the two pieces together. Can you work out how these shapes are made
from the two pieces?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
Can you fit the tangram pieces into the outline of this junk?
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?
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
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?
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 outline of Little Ming playing the board game?
Can you fit the tangram pieces into the outline of this telephone?
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
Can you deduce the pattern that has been used to lay out these
Can you fit the tangram pieces into the outline of Little Fung at the table?
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?
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?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
What shape is made when you fold using this crease pattern? Can you make a ring design?