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'Highest and Lowest' printed from http://nrich.maths.org/
We had nearly $100$ solutions submitted to us with acceptable ideas for the highest and lowest. Five schools sent in many submissions and quite a few students went on to explore what they could do with $1, 2, 3, 4, 5$ and $6$.
Banstead Junior School pupils George, Marcus, Ellanah, Ellie, Grace and Lauren sent in individual solutions that showed $360$ as the highest number and $0$ as the lowest. They went on to show that with more numbers they could get as high as $720$.
Norwayne Elementary School in the USA pupils, Kyler, Tim, Wesley and Grace also sent in individual solutions and extended the lowest down to $0.025$. When using the $6$, numbers got as low as $1-65432 = -65431$.
Hamilton Academy pupils Saihaan, Sean, Theo and Huda individually took the lowest number down to $-36$.
Bowes Primary School pupils Yasara, Chloe, Shiv, Rhea, Lotte, and Aan individually took it down to $-19$ using the six numbers.
Heage Primary School pupils Fraser, Brogan, Miles and Phoebe individually took using six numbers up to $1080$.
Matthew from Beechwood Park School
sent in this which is typical of many of the solutions sent in;
Highest: $(2$x$3)$x$(4$x$5)$x$6=720$ Lowest:$1-2-3-4-5-6=-21$
Annabelle from Toongabbie Christian School
sent in this for the first part of the problem which represents many students' workings:
$3$x$4$x$5$x$6$ highest $3-4-5-6$ lowest
Tritham from St.Christopher's
School Penang, Malyasia sent in the following for the smallest answer:
The smallest answer is $6-5-(4-3)=0$
Finally at the end of the month we had this submission from Year $5$ at St. Ambrose School:
Highest: $63$x$54= 3402$ and Lowest: $3-654= -651$.
Well you certainly worked hard on this activity. Well done all of you. We hope to hear from you again soon.