All our featured links are added to our Links for Teachers or Links for Students or Special Links Collections Pages.

This month's Interact Magazine has now been published. Try the new sets of problems for S1-S3 and S4-S6. They have a deadline of 22nd November for sending solutions to Nrich. Or try the unsolved Tough Nuts.

Our student Tim Weir (S2) was successful in solving Whodunit and Jack Edwards-Fox (S6) gave an excellent explanation for Stone Henge. Congratulations to both these problem solvers.

We still have a vacancy for a teacher of Mathematics at Madras College, St.Andrews, Fife. If you are interested then please phone the school on 01334-412500 and talk to Dr Waterston (PT Mathematics) or alternatively E-mail us at the above address.

In base eleven 2000 is written 1559. Using each of the digits 1, 5, 5 and 9 once only and in the correct order our students achieved solutions for the numbers 1 up to 135 apart from the number 94. Visit The Great Millennial Challenge page for explanations. The challenge will be starting soon for the year 2001. Watch this space for developments.

E-mail comments to madrascollege.maths@fife.gov.uk

After an immense effort by our students in the run up to the new millenium we have achieved solutions for 1 up to 135 apart from the number 94. We worked in Base Eleven using the digits of 1559 which is 2000 written in Base Eleven.

Our records so far for this year are:

Base 12	20
Base 11	93
Base 10	6
Base 7	20
Base 5	19

Visit The Great Millennial Challenge page for explanations.

Can anyone solve 94 in base eleven? E-mail comments or solutions to madrascollege.maths@fife.gov.uk

Try the new sets of problems for S1-S3 and S4-S6. They have a deadline of 22nd October for sending solutions to Nrich. Or try the unsolved Tough Nuts.

In this month's Interact Magazine the following Madras College students had their solutions published or their names mentioned for correctly solving one of the September problems:

Anne Miller (S2) and Maria Buchman (S2) for Professional Circles

Michael Sullivan (S2) for AP Rectangles

Dorothy Winn (S4) and Hannah Bredin (S3) for Picture Story

Sue Liu (S6) for Exhaustion

All our featured links are added to our Links for Teachers or Links for Students or Special Links Collections Pages.

We have two vacancies for a teacher of Mathematics at Madras College, St.Andrews, Fife. Application forms may be obtained from:

Glenrothes Job Centre, 1-3 Postgate, Glenrothes, Fife, Scotland

Or telephone 01592 - 253621. Please quote reference number: ZGR00008A. The closing date for applications is Friday 27 October.

We present All the King's Horses. You move all the horses at your turn but if any one of them comes to harm then you have lost the game!

Try the new sets of problems for S1-S3 and S4-S6. They have a deadline of 22nd June for sending solutions to Nrich.

In this month's Interact Magazine our S1 student Jackie Matthews (Class 1H) had a mention for her work on the problem Rollerball.

Sue Liu in S5 solved Area I'n It? and Mike Gray (S6) solved Summats Clear.

All our featured links are added to our Links for Teachers or Links for Students or Special Links Collections Pages.

Our S1 student Kyle Allan has broken the school record for arranging 11 pentominoes into a shape with the largest possible hole in the middle. He achieved 100 squares on 20th June beating the previous 1998 record by 1 square. See Kyle's Arrangement.

Our S5 student Chris Riach made a stunning discovery during a routine Higher Mathematics Lesson last week. Read The Riach Wallpaper Frieze to find out about his exciting discovery. We have included a picture of Chris celebrating his discovery!

Tess

This neat design drawing package can generate tiling patterns based on your drawing. It allows you to choose the underlying symmetry (from the 17 wallpaper groups) and to reflect and rotate the basic element of your design in various ways. Results may be saved.

Visit our download page Apple Mac Applications

and also our download page Apple Mac Games

In Seating Families of Three you must control the children but keep an eye on the adults too!

..Mathematica in the Classroom..

The Worksheet Fractions & Decimals 2 continues with the exploration of the fascinating patterns that occur in the decimal expansions of 1/prime fractions.

We all know and love the triangular numbers:

and the square numbers:

but you might not be aware of the developing pattern:

1 + 1 + 1 + 1 + 1 + ...	1 , 2, 3, 4, 5 ...	Counting numbers
1 + 2 + 3 + 4 + 5 + ...	1, 3, 6, 10, 15 ...	Triangular numbers
1 + 3 + 5 + 7 + 9 + ...	1, 4, 9, 16, 25 ...	Square numbers
1 + 4 + 7 + 10 + 13 + ...	1, 5, 12, 22, 35 ...	Pentagonal numbers
1 + 5 + 9 + 13 + 17 + ...	1, 6, 15, 28, 45 ..	Hexagonal numbers
???	???	Heptagonal numbers

You might like to calculate the 5th Heptagonal number. How is it related to the 5th Hexagonal number and the 4th Triangular number? `Is this just coincidence? Investigate further! Here is a diagram showing the amazing Pentagonal numbers:

Can you see the 1 + 4 + 7 + 10 pattern?

Multiplying each pentagonal number by 3 gives: 3, 15, 36, 66... Compare these with the triangular numbers (you'll need to calculate a few more) and be amazed!

All our weekly links are added to our Links for Teachers or Links for Students or Special Links Collections Pages.

All our weekly links are added to our Links for Teachers or Links for Students or Special Links Collections Pages.