GCSE Enrichment
Programme
Like maths?
Enjoy problem solving?
Often ask “why?”
in maths lessons?
Think you might
study maths at A-level?
If the answer is “yes” to
any of these questions
then read on…
WHAT?
WHO?
WHY?
King’s College London
Mathematics School is a new
school for students aged
16-19 who have a passion
and a talent for mathematics.
We run enrichment sessions
for younger students who
are enthusiastic, inquisitive
and keen to enhance their
understanding of mathematics.
Anyone in year 10 or year 11
can join. You’ll be in a group
of around 20 students, all from
your year group. If you’re
going to be in year 11, but
didn’t come to these sessions
in year 10, don’t worry – there’s
no reason why you can’t start in
year 11.
Because you answered “yes”
to some of the questions on
the front cover! As well as
studying interesting topics and
clever ideas in these sessions,
you’ll have time to look in more
detail at some of the material
you’ll see at school, and at the
end of the programme you’ll
be ready to sit an iGCSE in
Further Mathematics.
WHERE?
All sessions take place at
King’s College London
Mathematics School, at 80
Kennington Road, SE11 6NJ.
The school is located centrally,
and is just a short walk away
from Waterloo station.
WHEN?
Sessions run once a fortnight
during term time, from 5pm
until 7pm – your school will
be assigned to a group with
students from other schools.
If you have a preferred day
(Tuesday, Wednesday or
Thursday) then you should say
so on application. You’ll get
the exact dates of your
sessions once your place is
confirmed, but the first session
will be in the second half of
September 2015.
FORTNIGHTLY
SESSIONS...
Let’s have a more detailed look
at what you might expect in
one of our sessions. Of course,
they do vary from session to
session, but here is an example:
5.00-5.20 Starter problem and
discussion.
Four identical light purple
triangles sit within a large
square.
Nancy notices that of the
cube’s 12 edges, the number
of edges which border two
different colours is odd.
The total area of the dark
purple regions, where the
triangles are overlapping, is
equal to the total area of the
central white region.
Is this enough information
to determine how the cube
was painted?
What proportion of the
area of the large square is
each of the triangles?
?
5.35-6.00 Time to practice
– sometimes on your own,
sometimes in pairs or groups
– and then compare answers
with each other and with your
teacher.
6.00-6.10 Break time, with
snacks provided; individual
feedback on any work
completed between sessions.
SOLVE THESE IF YOU CAN!
Nancy has a wooden cube.
She paints two faces of the
cube red, two faces green,
and the last two faces yellow.
e.g. Year 11: why is factorising
a quadratic expression useful?
can we do the same to cubic
expressions? when can we
factorise and when do we
get stuck?
6.10-6.30 More discussion –
sometimes on a related idea,
and sometimes on something
completely different!
e.g. how many triangles are
there in this picture?
e.g. I am a 2-digit number. If
you double me and subtract 1,
you get me but with my digits
reversed. What number am I?
5.20-5.35 Group discussion
e.g. Year 10: if my pay goes up
by 8%, what’s the associated
scale factor? and why is this
related to the mathematics of
right angled triangles?
6.30-6.50 More practice,
or problem solving, or
exploration. If you were
working on your own before,
you’ll probably be put in a
group now – one of the great
aspects of these sessions is
getting to meet students from
other schools around London.
6.50-7.00 Group summary;
what to do between now and
the next session.
...AND A
SUMMER SCHOOL
At the end of year 10, all the
pupils who take part in the
programme will be invited
to a week long summer
school at King’s where
you’ll have the opportunity
to look at some very deep
and interesting ideas in
mathematics. You’ll not only
be learning and socialising
with students from a wide
range of schools, you’ll get
to hear professionals in
finance, science, business
and computing speak about
how mathematics helps them
in their chosen career.
I’m interested – what do I do next?
Apply online at www.kcl.ac.uk/mathsschool.
Select OUTREACH and find the GCSE enrichment section.
Closing date for applications: 31 July 2015.
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Royal
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National
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HARMSWORTH
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King’s College London
Mathematics School
Find our more
To learn more about King’s College London Mathematics School,
go to www.kcl.ac.uk/mathsschool
or check us out on
Facebook: www.facebook.com/KingsMathsSchool
Twitter: @kingsmathschool
80 Kennington Road
London
SE11 6NJ
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