Mathematics Challenge
Mathematics Department
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Senior Challenge (age
16 – 19) Tuesday 8th Nov 2005
Intermediate Challenge (age 14 – 16) Thursday
2nd Feb 2006
Junior Challenge (age 11 – 13) Thursday 27th April
2006
In association with the United Kingdom Mathematics
Trust and the School of Mathematics at the University
of Leeds, we are pleased to enter our students for the
Junior, Intermediate and Senior Mathematical Challenges.
These are challenging and rewarding and consist of
25 multiple choice questions solving interesting problems
that challenge a student to think, not to guess.
They are invigilated as proper examinations and the
answer sheets are sent off to the University to be
marked.
Students are given 1 hour to answer the questions
and
calculators and measuring instruments are forbidden although they are allowed rough paper.
The questions are graded so that they get harder and
the marks awarded get higher as well (but to complicate
things further, they also lose marks for incorrect answers
with the last 10 questions!).
Successful students are awarded with a certificate
at Bronze, Silver or Gold level. If a student is over
a certain mark they are invited to take part in the
UK Junior Mathematical Olympiad which involves a written
paper requiring full solutions to problems.
Junior Mathematical Challenge
(Year 8 or below):
We enter all of our year 8 students and a selected
number of year 7 students for the Junior Challenge.
Successful students are awarded with a certificate
at Bronze, Silver or Gold level. If a student is over
a certain mark they are invited to take part in the
UK Junior Mathematical Olympiad which involves a written
paper requiring full solutions to problems.
Example questions:
1. What is the remainder when 2 400 040 002 is divided
by 5?
2. At the first World WormCharming Championship, held
at Wollaston, Cheshire in July 1980, Tom Shufflebottom
charmed a record 510 worms out of his 3m x 3m patch
in 30 minutes. If the worms, of average length 20cm,
stopped wriggling and were laid out end to end round
the edge of his patch, approximately how many times
round would they stretch?
A 8.5 
B 9 
C 20 
D 30 
E 510 
View
the Solutions
Junior Mathematical Challenge
Results  April 2005
Well done to year 7 and 8 on an even better performance
in the challenge than last year!!
Best in School: Philippa Gaunt and Michael Godfrey
Year 8 results
Gold
Philippa Gaunt* 
Michael Godfrey* 
Yajur Shah* 
Lewis Bartlett 
Joel Stead 
Emily Wright 
Aparna Gosh 
Thomas Tattersfield 
Samuel Graham 
Nyomi Tordoff 
Luke Union 
Catherine Tyldsley 
Fatima Zafar 
Kimberley Lo 
David Lukic 
Ashley Roberts 
Lewis Smith 
Emma Ellwood 
Sophie Deller 
Oliver Sharp 
Lauren Pickles 
Victoria Ellis 
Sarah Lane 
Eltaeb Mohamedsharif 
Louis Emmerson 
Nicola Harris 
Ben Johnson 
Sam Parkinson 
James Pearson 
Tom Addy 
Rebecca Clapham 
Danielle Bunting 
Gregory Hinchliffe 
James O’Neill 
Omar Asmar 
Faheemah Bala 
David Bolt 
Sam Croft 
Robert Johnson 
Mathew Spence 


Silver
Lucy Baines 
Bunty Jenkins 
Sam Tootill 
Sam Tootill 
Liam Webster 
James Craig 
Fern Gardner 
Peter Jenkins 
Nathan Fletcher 
Sarah Worsnup 
Kristian Nalson 
Aaminah Suleman 
Kyle Waters 
Hannah Grosvenor 
Mitchell Norman 
Bryony Dawkins 
Louis Gacquin 
Sophie Hetherington 
Frances Lightowler 
Michael Lumb 
Tasham Mahmood 
Mohammed Musa 
Sian Wormald 
Alicia Clifford 
Holly Dunne 
Joseph Knowles 
Kierian Haden 
Michael Hargeaves 
Adam Karolia 
Thomas Walker 
Emma Hutchinson 
Adam Lee 
Izabel Simmonds 
Hannah Thornton 
Vikram Nagarajan 
Joseph Saville 
James Abbott 
Junaid Arif 
Emily Bainton 
Jordan Binns 
Daanyaal Pandod 
Rosie Tootell 
Bronze
Rebecca Fawcett 
James Gaunt 
Matthew Bailey 
Heather Clarke 
Imogen Covell 
Carys Ervine 
Charlotte Austin 
Sam Lowrey 
Rabiya Ali 
Umar Patel 
Alice Gledhill 
Nicholas Grieg 
Mohammed Pandor 
Louise Jones 
Becky Kennington 
Aqif Khan 
Kiran Tatla 
Laura Dewhirst 
Rebecca Haley 
Frances Murray 
Sameer Shabir 
Daniel Cheetham 
James Knight 
Sayjel Patel 
Katie Woodward 
Helena Bullivant 
Harneet Cheema 
Olivia Jeffery 
Rashid Mahmood 
Oliver O’Donnell 
Lily Jo Osborne 
Rose Pearce 
Leanne Pollard 
Chloe Alvin 
Kyle Hinchliffe 
Emma Langley 
Liam Manning 
Jordan Vernon 

Year 7 results
Gold
James Wilkinson 
Josie Smith 
Robert Torch 
John Tarrant 
Annie Smith 
Susana Lukic 
Matthew Scales 


Silver
Adam Chopdat 
Melissa Hirst 
Ryan Haden 
William Flesher 
Natasha North 
Sophie Shields 
Greg Harris 
Rebecca Stead 

Bronze
Burhan Khalid 
Katie Sturland 
Abhishek Gairola 
Shaun Webster 
Aadil Patel 
George Gledhill 
* Indicates Junior Mathematical Olympiad qualifiers
Junior Mathematical Olympiad 2005
Being in the top one thousand in the country out of
250 000 who took part in the Junior Mathematical Challenge
is some achievement. So even by just being invited
to take part in the Junior Mathematical Olympiad as
were Philippa Gaunt, Michael Godfrey and Yajur Shah,
you are a very talented mathematician.
The Olympiad is challenging and the students were
required to write out full written solutions to each
of 6 questions. Marks were awarded not just for the
answer but for a correct solution containing no gaps
or flaws in the explanation.
Michael Godfrey and Yajur Shah both managed to write
full, mathematically accurate solutions to two of the
questions and both received distinctions putting them
in the top 25% of those who took part. But even better,
Yajur managed to partially answer another two questions
which means that he has been awarded a bronze medal.
Well done to Philippa, Michael and Yajur and excellent
achievement!!
Intermediate Mathematical Challenge
We enter all of year 10 and a number of year 9 students
in the top set.
Students are awarded with a bronze, silver or gold
certificate.
Successful students if year 10 who get over a certain
mark are invited to take part in the International
Intermediate Invitational Mathematics Challenge with
participants from all over the world taking part.
Succsessful students in year 9 who get over a certain
mark are invited to take part in the European Kangaroo
Challenge.
Example questions
from Intermediate Maths Challenge:
1. The pattern 123451234512345… is continued
to form a 2000digit number. What is the sum of all
2000 digits?
A 6000 
B 7500 
C 30 000 
D 60 000 
E 75 000 
2. Jasmine spends exactly $120 on three types of plants:
poisoned ivy plants cost $2 each, deadly nightshade
plants cost $9 each and triffids cost $12 each. She
buys twenty plants in total, including at least one
of each type. How many triffids did she buy?
A 1 
B 2 
C 3 
D 4 
E more information needed 
View
The Solutions
Intermediate Mathematical
Challenge 2005
Congratulations year 10 and year 9 on an excellent
set of results. 188,000 students entered the competition
and receiving a certificate is a real achievement.
Scott Barnett Y10 and Andrew Lucas, Joseph Hargreaves
and James Heptinstall of Y9 are among the top 400 in
the country in their year group and are invited to
take part in the Olympiad paper. Shafiq Pandor, Tom
Ridley, Andrew Burton, Isaac Jackson, Timothy Dhir
and Josh Cole are among the top 1000 in the country
and are invited to take part in the Kangaroo paper.
Year 10
Best in School: Scott Barnett
Gold
Scott Barnett 92 
Shafiq Pandor 84 
Tom Ridley 78 
Andrew Burton 77 
Isaac Jackson 76 
Timothy Dhir 75 
Josh Cole 73 
Joanne Clarke 70 
Emma New 68 
Rory Mills 67 
Joe Beaumont 66 
Thomas Hardy 66 
Emily Kaye 66 
Niall Oddy 66 
Lisa Wagstaff 66 
Rohan Goel 65 


Silver
Humzah Dar 64 
Laura Heap 61 
Tom Johnson 61 
Joseph Prescott 61 
Thomas Somers 61 
Thomas Illingworth 59 
Tom Bentley 58 
Joe Bull 57 
Stephen Duffy 56 
Irfan Khalid 56 
Rikesh Patel 56 
Rebecca Stretton 56 
Ailie Fan 55 
Helen Lee 55 
Laura Ashton 54 
Jake Thornton 53 
Kiri Anderson 52 
Jack Birkinshaw 52 
Aimee Hogan 52 
Daniel Bailey 51 
Jessie Bains 51 
April Cashin Garbutt 51 
Charlotte Hirst 51 
Lucy Kirk 51 
Rayhaan Mughal 51 
Divya Nagarajan 51 
Ele Chan 50 
Kate Hutchinson 50 
Annabelle Mumby 50 
Chloe Patchett 50 
Abby Scholey 50 


Bronze
Stephen Smith 49 
James Tootill 48 
Keeley Dewhirst 46 
Cathy Gordon 46 
Marcus Horsley 46 
Chris Scott 46 
Jamie Shiel 46 
Lee Bennett 45 
Hassan Daji 43 
William Slack 43 
Jemma Slade 43 
Mark Smith 42 
Richard Newsome 41 
Adam Stephenson 41 
Jenny Armstead 40 
Laura Chapman 40 
Charlotte Gomersall 40 
Kirsty Green 40 
Mohammed Majid 40 
Rebecca Mitchell 40 
Jonathan Reed 40 
Alexa Turnpenny 40 
Jordanne Vine 40 
Sam Wickham 40 
Tristram Young Blakelock 40 


Year 9
Gold
Andrew Lucas 86 
Joseph Hargreaves 82 
James Heptinstall 77 
Silver
Sarah Burgess 56 
Chris Thornton 54 
Peter Gatenby 51 
Kimberly Wright 51 


Bronze
Katie Hornby 48 
Tim Martin 48 
Carl O’Byrne 48 
Samir Asmar 47 
Vicki Lawrence 45 
Matthew Thompson 45 
Matthew Milner 44 
Helen Burgess 43 
Joe Crowther 43 
David Heywood 41 
Adam Jones 41 

Well done to all involved!!!
Mathematics Team Challenge
National Final
Monday 27th June 2005
The event was at The Guildhall, London, so the team
had to meet at 7am to catch a train to London. Eventually
the Yorkshire Maths Team Challenge Champions reached
the venue after a few detours with some of the other
teams following our directions. At this point Michael
Godfrey wanted to eliminate some of the opposition,
but we persuaded him otherwise. On arrival the tried
to scoff as many biscuits as possible down their throats,
as they were free!!
The Poster Competition was first up for the team,
but this did not count towards the final standings
of the team challenge. The poster was designed around
dissections of geometrical shapes in order to produce
another geometrical shape.
The first round was a Group Circus, were the teams
completed a decathlon. We performed well in this event
scoring 57 out of 60.
The second round involved completing a cross number
puzzle. As difficult as it was, the team were not helped
by the organisation as the answer sheet was different
from the question sheet. Despite this the team went
on to post an excellent result of 71 out of 76. After
2 events we were in the top 5 schools.
The Head to Head round was difficult. It involved
2 teams stood next to each other in a face off. They
had to find the missing link between a set of numbers
and correctly guess the answer. This was a particularly
difficult round but the team themselves were disappointed
with a score of 22 out of a possible 40.
The final round of the Relay Race was absolute pandemonium
with the teams charging around the hall in an attempt
to complete the 30 challenging questions in 30 minutes.
After a bit of organising the teams were off!!!! Chaos
was the order of the day for the next half hour, but
the team did really well scoring 54 out of 60.
Despite not coming in the top 3 schools, the team,
made up of Andrew Lucas, James Heptinstall, Michael
Godfrey and Joel Stead, did themselves, the school
and Yorkshire proud. The day was rounded off by a McDonalds
and a tiring journey back to the sunny county of Yorkshire.
Challenges
www.mathcomp.leeds.ac.uk
(The official site of the United Kingdom Mathematics
Trust, organisers of the maths challenges try some
questions!)
www.nrich.maths.org.uk
(The Online Maths club. Try the puzzles and enter competitions)
www.mathsnet.net
(Contains some good puzzles and even lessons on some
topics which would be useful for revision)
www.pass.maths.org.uk
(More for higher education students but there are some
interesting articles and puzzles)
www.schoolsnet.com
(More for teachers than students but some revision material
is useful)
