Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Can you predict when you'll be clapping and when you'll be clicking
if you start this rhythm? How about when a friend begins a new
rhythm at the same time?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
Starting with four different triangles, imagine you have an
unlimited number of each type. How many different tetrahedra can
you make? Convince us you have found them all.
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
A game in which players take it in turns to choose a number. Can you block your opponent?
In this article for teachers, Bernard uses some problems to suggest
that once a numerical pattern has been spotted from a practical
starting point, going back to the practical can help explain. . . .
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.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
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
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
These are pictures of the sea defences at New Brighton. Can you
work out what a basic shape might be in both images of the sea wall
and work out a way they might fit together?
How many triangles can you make on the 3 by 3 pegboard?
How can you make an angle of 60 degrees by folding a sheet of paper
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?
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
An activity making various patterns with 2 x 1 rectangular tiles.
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Use the interactivity to listen to the bells ringing a pattern. Now
it's your turn! Play one of the bells yourself. How do you know
when it is your turn to ring?
How many models can you find which obey these rules?
Move your counters through this snake of cards and see how far you
can go. Are you surprised by where you end up?
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?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Use the interactivity to play two of the bells in a pattern. How do
you know when it is your turn to ring, and how do you know which
bell to ring?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
The triangle ABC is equilateral. The arc AB has centre C, the arc
BC has centre A and the arc CA has centre B. Explain how and why
this shape can roll along between two parallel tracks.
Delight your friends with this cunning trick! Can you explain how
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?
What is the smallest cuboid that you can put in this box so that
you cannot fit another that's the same into it?
These practical challenges are all about making a 'tray' and covering it with paper.
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
How is it possible to predict the card?
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
Ideas for practical ways of representing data such as Venn and
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
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 make the birds from the egg tangram?
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.
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
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?