Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Learn about Pen Up and Pen Down in Logo
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Follow these instructions to make a three-piece and/or seven-piece tangram.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Make a spiral mobile.
A game to make and play based on the number line.
Make a mobius band and investigate its properties.
Turn through bigger angles and draw stars with Logo.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Learn to write procedures and build them into Logo programs. Learn to use variables.
More Logo for beginners. Now learn more about the REPEAT command.
Make an equilateral triangle by folding paper and use it to make patterns of your own.
It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Make a clinometer and use it to help you estimate the heights of tall objects.
Surprise your friends with this magic square trick.
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Can you make the birds from the egg tangram?
You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
How is it possible to predict the card?
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?
Did you know mazes tell stories? Find out more about mazes and make one of your own.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Write a Logo program, putting in variables, and see the effect when you change the variables.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
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. . . .
Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.
Make a ball from triangles!
How can you make a curve from straight strips of paper?
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Use the tangram pieces to make our pictures, or to design some of your own!
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
This package contains hands-on code breaking activities based on the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Follow these instructions to make a five-pointed snowflake from a square of paper.
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 timer?
Make some celtic knot patterns using tiling techniques
Here are some ideas to try in the classroom for using counters to investigate number patterns.
What happens when a procedure calls itself?
This article for students gives some instructions about how to make some different braids.
A description of how to make the five Platonic solids out of paper.
What shapes can you make by folding an A4 piece of paper?
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.
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?
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.