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Doplication

7 to 11

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

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Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

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Redblue

7 to 11

Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?

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Rope mat

7 to 11

How many centimetres of rope will I need to make another mat just like the one I have here?

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First forward into Logo 1: square five

7 to 16

A Short introduction to using Logo. This is the first in a twelve part series.

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The bridges of Konigsberg

11 to 18

Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.

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Gosh cosh

16 to 18

Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.

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Let us reflect

7 to 11

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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Chocolate 2010

14 to 16

First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2...

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Poly fibs

16 to 18

A sequence of polynomials starts 0, 1 and each poly is given by combining the two polys in the sequence just before it. Investigate and prove results about the roots of the polys.

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Doplication

Adding all nine

Redblue

Rope mat

First forward into Logo 1: square five

The bridges of Konigsberg

Gosh cosh

Let us reflect

Chocolate 2010

Poly fibs