This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
This challenge extends the Plants investigation so now four or more children are involved.
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
As there will not be an NRICH magazine in August we have
included a few extra challenges set by some young NRICH members.
You can send in your solutions in the usual way. Thank you very
much Madras College for these challenges.
Here are two challenges based on the number 1999, both from
Madras College which is a comprehensive secondary school founded in
1833 by Rev. Dr. Andrew Bell and located in Fife, Scotland. From
, I learned that Dr Bell was a mathematician. He would be very
proud indeed of the mathematical achievements of this school today.
He served as Chaplain with the East India Company in Madras and
very successfully used older students to help to teach the younger
ones. NRICH uses his 'Madras System' as he called it, for peer
assisted learning electronically with askNRICH
The first challenge is to use the digits 1, 9, 9 and 9 together
with mathematical operations to form as many whole numbers as you
can. You will see solutions up to the total 140 on the Madras
College Maths Department website (and there is lots more of
interest there too). If you have new solutions to this challenge
then please send them to Madras College rather than to NRICH. The
same sort of challenge will be very hard next year!
Secondly, class 2YP at Madras College carried out their own
investigation based on the problem called SCORE in
the NRICH June Six Problems. They came up with some intriguing and
surprising results. One problem they set themselves was to find the
number of ways of writing 1999 as the sum of three odd numbers and
we leave it as a challenge for you to find out how many ways this
can be done. Do send your solutions to NRICH if you wish. The
account of 2YP's work will be published on 1st September.
A Year 9 pupil from Dr Challoner's Grammar School, Amersham
(United Kingdom) sent two challenges. Frogtastic may not be
entirely new to you but Theodor's Birthday will be sure to set you
and so on ...
Could you find any other relationships in this game?
On 19th of May it was Theodor's Birthday. On that day he had a
brilliant party, however his parents, uncles and auntie's couldn't
make it to the party, so on the day after they had dinner
All of the six people sat around a circular table