This practical activity involves measuring length/distance.
What do these two triangles have in common? How are they related?
You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?
Can you put these shapes in order of size? Start with the smallest.
These practical challenges are all about making a 'tray' and covering it with paper.
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?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Galileo, a famous inventor who lived about 400 years ago, came up
with an idea similar to this for making a time measuring
instrument. Can you turn your pendulum into an accurate minute
What is the largest number of circles we can fit into the frame
without them overlapping? How do you know? What will happen if you
try the other shapes?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
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.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
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 make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
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 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?
How do you know if your set of dominoes is complete?
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
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 these people?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
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?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Can you fit the tangram pieces into the outlines of the chairs?
Can you make the birds from the egg tangram?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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?
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?
Ideas for practical ways of representing data such as Venn and
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?
Can you lay out the pictures of the drinks in the way described by
the clue cards?
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
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
In this town, houses are built with one room for each person. There
are some families of seven people living in the town. In how many
different ways can they build their houses?
The ancient Egyptians were said to make right-angled triangles
using a rope with twelve equal sections divided by knots. What
other triangles could you make if you had a rope like this?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.