Posts by: toni
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 […]
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 […]
You are a detective and you have to discover what digits the question marks stand for. They can be any digit from 0 to 9 and they can be the same digit or different digits.
How will you find the missing digits?
What do you notice?
How many solutions are there to the calculations?
What clues […]
(1) You will need a collection of cups, either disposable cups like the ones shown or any mugs and cups you have available. You will also need some water and a measuring jug.
Which cup would you fill with water if you are really thirsty and want a lot to drink?
Arrange […]
For your company, you have to design spinning tops made from two pieces glued together, a hemisphere and a cone, and you have to plan how they will be manufactured, packaged and sold.
(1) The radius of the circular surface where the pieces are glued together is 3 cm. The slant […]
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