Making maths: string and circles
Making maths: cones
Making maths: happy families
Here is a version of the game 'Happy Families' for you to make and play.
Making maths: Indian window screen
Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?
Making maths: link-a-cube
Making maths: equilateral triangle folding
Making maths: five-point snowflake
Making maths: make a pendulum
Folding, cutting and punching
Making maths: kites and darts
Watch those wheels
Making maths: test the strength of a triangle
Making maths: clinometer
Making maths: double-sided magic square
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Making maths: rolypoly
Making maths: walking through a playing card?
Making maths: snowflakes
Making maths: a-maze-ing
Modular origami polyhedra
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
Making maths: making a tangram
Follow these instructions to make a three-piece and/or seven-piece tangram.
Turning the place over
Making maths: stars
Purposeful paper folding
In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.
Baked bean cans
Paper patchwork 2
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
Chairs and tables
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Pairs of numbers
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
Rearrange the square
Building with solid shapes
We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?
Paper partners
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
Triangle shapes
How many?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
Data shapes
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?
Repeating patterns
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
How tall?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Two-digit targets
You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
Well balanced
Jig shapes
Can you each work out what shape you have part of on your card? What will the rest of it look like?
Take one metre
Bottles (1)
For this activity which explores capacity, you will need to collect some bottles and jars.
It's a fence!
Bottles (2)
In this activity focusing on capacity, you will need a collection of different jars and bottles.
Measure our heights
Shapely lines
This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?
Three fingers and a loop of string
Paper patchwork 1
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Clapping times
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
Fit these shapes
A city of towers
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?
Star find
Making sticks
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?
Little man
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
Making longer, making shorter
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
Animated triangles
Dienes' logiblocs
Four colours
Tessellating capitals
Rectangles with dominoes
Two on five
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?
Tangram tangle
If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?
Happy halving
Can you split each of the shapes below in half so that the two parts are exactly the same?
Three squares
What is the greatest number of squares you can make by overlapping three squares?