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Today's date - 01/06/2009

5 to 11

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

problem

How do you react?

14 to 16

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

problem

Making spirals

7 to 11

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

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Markov matrices

14 to 18

Use matrices to find out how much cake I eat.

problem

What does it all add up to?

11 to 18

If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?

article

Geometry: a history from practice to abstraction

11 to 18

This article gives a brief history of the development of Geometry.

page

Excel interactive resource: remainder

Use an interactive Excel spreadsheet to investigate remainders.

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Favourite

Binomial

16 to 18

By considering powers of (1+x), show that the sum of the squares of the binomial coefficients from 0 to n is 2nCn

problem

Algebra from geometry

11 to 16

Account of an investigation which starts from the area of an annulus and leads to the formula for the difference of two squares.

problem

Number spirals

7 to 11

This task opens up an investigation of a different kind of spiral. This may open doors to new ideas.

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Today's date - 01/06/2009

How do you react?

Making spirals

Markov matrices

What does it all add up to?

Geometry: a history from practice to abstraction

Excel interactive resource: remainder

Binomial

Algebra from geometry

Number spirals