Activity 1: Finding the centre of the circle
You will need a cut-out paper circle (about 12cm diameter).
Use a circle that does not show the centre. Fold your circle along a diameter. Mark the ends A and B. Now unfold your circle and then fold again along a different diameter and mark the […]
A square of paper 8 cm by 8 cm is folded so that the corner P coincides with the midpoint of an opposite edge as shown in the diagram.
Investigate the three triangles (where there is a single thickness of the paper) that are formed by folding in this way.
Click here for […]
Find all the angles in the diagram and mark each set of equal angles in a colour for that set.
Let AE = 1 unit and BE = x units.
Which triangles are isosceles?
Which triangles are similar?
Use similar triangles to give an equation for x […]
Fibonacci (in the year 1202) investigated a problem about how fast a population of rabbits would grow in the following circumstances, starting with just one pair of rabbits:
Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of […]
In sheep talk the only letters used are B and A.
Sequences of words are formed as follows:
The first word only contains the single letter A.
To get the next word in the sequence change each A in the previous word into B and each B in the previous word […]
Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral which is made up of quarter circles. Watch this inspirational video. To download the poster click here.
Then create your own elephant. The numbers in the centres of the squares […]
A staircase has 12 steps. You can go down the steps one at a time or two at time.
For example:
You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.
In how many different ways […]
The picture shows the 7 pieces of the Soma Cube Puzzle. They are made from cubes glued together. Contrasting colours make the puzzle easier to solve as the aim is to assemble the pieces to give a chequerboard effect.
If you make your own puzzle then you can enjoy solving many more challenges. A large […]
We know birds come from eggs.
You can make many birds from the 9 puzzle pieces of the Magic Tangram Egg.
Break the egg and re-assemble the 9 pieces to hatch one of many varieties of birds.
Construction
Draw a circle with radius […]
Is it possible to draw a 5-pointed star without taking your pencil off the paper?
When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.
Is it possible to draw a 6-pointed star in the same way […]
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