Maths
Friday 21st May 2010
Puzzles And Challenges For Year 7 And 8
Posted by GE
On Monday 17th May, by way of a contrast to their week of exams, pupils in Year 7 and Year 8 enjoyed a programme of fun but challenging activities organised by the Maths Department. They all took part in one of three Puzzle Challenge sessions aimed at developing group problem-solving skills and a Calculator Treasure Hunt around the school grounds.In the Puzzle Challenge, the pupils were presented with a variety of elaborate puzzles that required analytical thought, manual dexterity, spatial visualisation, teamwork and cooperation to complete. The sessions were conducted by Lyndsey Ewing of the Happy Puzzle Company, an enthusiastic and inspiring instructor who really got the pupils thinking. For one of the puzzles, which involved trying to connect jigsaw pieces to form a connected road, it seemed that whichever way they put the pieces together there was always one piece left over which wouldn’t join up with the others, thus providing excellent preparation for assembling IKEA furniture. Lyndsey told the students that there were actually several thousand possible solutions to the problem, but for most of them finding just one was quite enough of a challenge.
Meanwhile those not indoors with Lyndsey were running around the grounds with a map and a calculator, trying to find the clues cunningly hidden by Mr Bindon in obscure corners of the campus. It is quite amazing how many words can be formed by the numbers on a calculator when read upside down, and the sums in the clues led the teams variously to a variety of unlikely objects, including a bell, a shell, a log, a pair of goggles, a goose and some eggs, leading eventually to a keyword which had to be brought back to base within the time limit to claim a prize. The pupils all had fun while developing teamwork and initiative, as well as the specific skills of map reading and accurate calculator use.
Lyndsey told us that she visits many schools around the country with her boxes of puzzles, and sees a wide range of levels of interest and responsiveness in different schools. She commented at the end that she thought our pupils really got a tremendous amount out of the sessions and that she was most impressed by their levels of engagement and focus. She said that they were amongst the best students she had dealt with and that she would be more than happy to come back to the school with a different set of challenges.
”The pupils had lots to say about the day’s experiences and their enthusiastic response to the challenges:
“It was challenging, but fun.”
“It made us work as a team.”
“It made me think in ways I had never thought before.”
“I really liked trying to figure out how to put the pieces together.”
“I think it has made me better at knowing how to start solving a problem.”
“I had to talk about the problems with the group and that made me sort out my ideas logically.”
“It was hard work, but I really enjoyed it.”
“I liked running around the grounds, and the clues were cool.”
“The spinning disc really surprised me – I got a shock when I looked up!”
“It was a great day – I really want to do it again.”
Thursday 6th May 2010
Olympiad And Kangaroo Success
Posted by GEThe three pupils who came top in the Intermediate Maths Challenge in February qualified for the follow on rounds, organised by the UK Maths Trust. The results of these are now through , and we are delighted to report that both Jack London (Year 11) and Johnny Shin (Year 10) were awarded a merit (the highest possible grade) for their performance in the European Kangaroo in March.
Even more outstanding is the performance of Jungwoo Rhee (Year 10) in the Hamilton Intermediate Olympiad, taken on the same day. Jungwoo's score of 49/60 placed him in the very highest echelon of participants nationally and earned him a Distinction and a silver medal.
We offer all three of them our warmest congratulations for these excellent achievements.
Wednesday 28th April 2010
Claremont Win Elmbridge Trophy
Posted by GE
On Wednesday 28th April two teams of four pupils from years 7 and 8 represented Claremont at the Elmbridge Interschool Maths Competition at Esher C of E High School. This is the first time that Claremont has taken part in the competition and the teams were keen to do well. In the first hectic round, the teams were split into pairs on opposite sides of the room and had to race from one side to the other and answer 30 mental arithmetic questions in 5 minutes. At the end of the round, the Claremont B team of James Hulls, Alex Elias, Sehyok Kwon and Donghyun Lee were in the lead with 29 points, 1 point ahead of Esher A and 4 points ahead of the Claremont A team of Sophie Stiewe, Anna Tawara, Max Traeger and Elizabeth Elias. The second round had them running to a central table with questions printed on the backs of various mathematical shapes. The more sides the shape had, the harder the question, so they had to decide quickly which shape to choose. At the end of the round the scores were still neck and neck, but with Esher slightly in front. In the third round, the teams were given 8 minutes to build an edifice at least 15 cm high out of newspapers that could support a pile of exercise books for at least 20 seconds. Again, the B team did better than the A team, tying for first place with Esher, who equalled their pile of 17 exercise books. At this stage the scores were Esher A 54, Esher B 53, Claremont B 52 and Claremont A 51.
For the last round, the highest scoring teams from each school were pitted head to head in a University Challenge style contest, with 10 points for each starter question and 5 points for each follow on question. The Claremont B team rose to this challenge with verve, winning the contest convincingly with a score of 60 points. Second place went to Rydens A with a score of 25, while Esher A dropped to third place with 15 points.
The proceedings were conducted in a lively and informal style by Mr Leslie Jackson, the Head of Maths at Esher High, who also presented the trophy to the Claremont team. Well done to all those who took part. Now let's prepare to defend the title of Elmbridge Maths Champions!
Monday 29th March 2010
A Problem For Easter
Posted by GE
This old favourite, back by popular request, is the problem for the last week of term, for which there are lots of prizes on offer.
Some Easter eggs have smaller eggs inside them, like Russian dolls. The picture above shows one possible arrangement of six Easter eggs. The large egg on the left has one smaller egg inside it, while the egg on the right has two smaller eggs inside it, one of which has an even smaller egg inside it.
The problem is this: how many different possible arrangements are there of six Easter eggs, if they are allowed to be separate from each other or nested inside each other?
(The size of the eggs doesn’t matter – they can be as big or as small as necessary to fit inside each other.)
Draw pictures. Be methodical. There will be particularly attractive Easter eggs (which may very possibly have smaller eggs inside them) for those who submit correct answers by the end of term. If I don’t get many answers by the end of term, there may even be some left for those who submit their answer at the beginning of next term.
Monday 29th March 2010
UK Team Maths Challenge
Posted by GE
On Wednesday March 10th the Claremont team of Seung Hyun Suk and Harry Normanton (Y9) and Anna Tawara and Sophie Stiewe (Y8) travelled to St Olave’s school in Orpington to represent the school at the regional final of the UK Team Maths Challenge. This is always an exciting and eagerly anticipated event at which the students have to work as a team under pressure as they pit their wits against a battery of fiendish mathematical problems and the combined brains of nineteen other school teams. In the last five years, Claremont teams had achieved a ninth, an eighth and then three consecutive seventh places in the competition, and this year’s team was determined to improve on seventh place. In most those five years the team had consisted of four boys, and the girls were keen to show that female accuracy and reliability are greater assets than male speed and flashiness.
The contest began with the group round, in which the team had to work together to solve ten problems in 45 minutes. Then came the cross number round, in which the team was split into an across pair and a down pair to solve a cross number, each pair with half the clues but unable to talk to the other pair. This is often a frustrating round in which many teams lose momentum, but the Claremont team’s careful preparation and persistence paid off and they scored an impressive 48 out of 60. At the lunch break they were comfortably in the top five and feeling confident.
In the first round of the afternoon, the head to head round, the team was pitted against four other schools consecutively to solve in pairs a series of problems in which each problem depended on the solution to the previous problem. At this point the team’s promising early form deserted them, and they made a number of avoidable mistakes, gaining no bonus points and scoring only 18 out of 60. Their earlier confidence rather dented, they knew nevertheless that they had quite a promising total score and a strong performance in the final round could see them reach their target. The final round was the always thrilling and frantic relay round, in which the two pairs in each team race to solve problems in different parts of the hall and run to have them marked so that they can then take the next problem to the other pair. As the clock ticks round, the questions get harder and the running gets more furious, so that the hall resembles a giant ant’s nest of frenetic mental and physical activity. Eventually the final whistle blew, everyone returned to their places to recover while the judges added up the scores. The Claremont team had scored a very respectable 30 out of 60 in the last round, and waited apprehensively to find out their final position.
Finally, the adjudicator announced the top three schools in reverse order and called them up to receive their prizes. The overall winners, who will go on to the national final, were the unfancied but surprisingly consistent team from Townley Girls’ Grammar School, with the host school, St Olave’s, as runners-up. But the greatest cheer of the afternoon came from the Claremont team when they learned that they had reached their target by coming sixth – the best ever performance by a Claremont team. The girls had made their point convincingly, and the whole team deserves congratulations for doing so well. They have raised the bar again. Will next year’s team be able to do better than sixth place?
Monday 29th March 2010
Results Of Intermediate Maths Challenge
Posted by GEThe maths department is delighted to announce the results of the Intermediate Maths Challenge taken on 4th February by pupils in Year 9, Year 10 and Year 11. Between them, the 46 pupils gained 24 certificates: 4 bronze, 8 silver and 12 gold.
The individual results are:
Year 11
Gold: Jack London
Silver: Henry McPherson, Megan Philip, Steve Kang, Ed Wright, Alex Young, Neil Cordon
Bronze: Louisa Dyson, Byron Duncan, Kira Gooding, Carla Letheby, Georgina Greenslade, Scott Hobbs
Year 10
Gold: Jungwwo Rhee (Best in School), Johnny Shin, Tom Butcher
Silver: Tom Guyatt, Minki Jang
Bronze: Ray Ryoo, Matthew Neat, Arun Joshi, Robert London
Year 9
Bronze: Seung Hyun Suk, Harry Normanton
As a result of their performance in the challenge, Jack London and Johnny Shin have both been invited to participate in the European Kangaroo, while Jungwoo Rhee’s score of 96 means that he has been selected for the Hamilton Intermediate Olympiad. This is an outstanding achievement, and a fitting recognition of the talent of a gifted student who has already participated in both rounds of the senior British Maths Olympiad this year. Both these events will take place in school on Thursday 18th March.
Seung Hyun Suk and Harry Normanton in Year 9 will be joined by Anna Tawara and Sophie Stiewe in Year 8 when they represent the school at the south-east regional final of the UK Team Maths Challenge on Wednesday, 10th March, at St Olave’s School at Orpington in Kent. The school has come 7th in this competition for three consecutive years, and the team are determined to improve on that position this year. Watch this space next week to find out if they have succeeded.
Monday 29th March 2010
Cambridge Success
Posted by GE
The maths department offers its warmest congratulations to Dapeng Wang, who has been offered a place at Churchill College, Cambridge, to read mathematics, starting in October. As is invariably the case with such offers, it is conditional upon Dapeng achieving grade 1 (distinction) in the STEP2 and STEP3 exams. STEP is short for 'Sixth Term Entry Paper, is the unversity's own entrance exam, which allows it to differentiate between the thousands of applicants for maths courses at Cambridge, all of whom have got 4 As at A level. It is, not sur[risingly, considerably harder than A level, and demands a thorough knowledge of the maths and further maths syllabuses as well as the analytical skill required to tackle extremely challenging and unfamiliar problems. Since there is nothing that Dapeng likes better than hard problems, he is licking his lips at the prospect of practising STEP questions between now and July. We wish him every success in the exam.
This is a strong year for Claremont in terms of mathematical potential, with three out of the eight pupils taking maths A level applying to Oxford or Cambridge. The picture above shows the three of them (Euan Philip, Dapeng Wang and Daniel Na) preparing for the Oxford Entrance exam in mathematics in December.
Monday 29th March 2010
Autumn Term Maths News
Posted by GE
Senior School pupil took part in two major maths competitions this term. On the 18th November, the team of Amn Khan (Y12), Euan Philip (Y13), Jungwoo Rhee (Y10 ) and Dapeng Wang (Y13) travelled to Surrey University where they took the bronze medal in the Surrey Final of the UK Senior Team Maths Challenge, their second podium place in two years. Amn was the highest placed girl in the contest, while Jungwoo was the youngest contestant. Earlier, on the 4th November, nine students came in during half term to sit the individual Senior Maths Challenge. Between them they gained one bronze certificate, three silvers and three golds. The golds were achieved by Johnny Shin, Dapeng Wang and Jungwoo Rhee. Dapeng and Jungwoo both also qualified for the British Mathematical Olympiad on December 3rd.
Within school, a Problem of the Day competition was initiated at the beginning of term which has kept students mentally active solving daily puzzles to win chocolate prizes. In December, the Problem of the Day was incorporated into an electronic Advent calendar with problems leading right up to Christmas Day. These have been e-mailed to all students in the Senior School, and families are invited to work together over the holidays to see if they can solve all twenty five problems and win a huge family size box of chocolates.
Thursday 4th June 2009
More Great Challenge Results
Posted by GEThe results of the Junior Maths Challenge are now here, and we can report on a very satisfying haul of 31 certificates (2 gold, 14 silver, 15 bronze) for the 50 pupils who took part. The participants were mainly from years 7 and 8, but this year the Upper Junior School was well represented with 7 pupils from Year 6 and one from Year 5, who between them achieved 5 certificates - an excellent performance!
The results are:
Year 8
Gold: Harry Normanton
Silver: Oscar Gillett, Seung Hyun Suk, Jay Atwal, Julian Deane, Bryn Williams
Bronze: Emily McPherson, Alex Munro, Kapilan Ravinthram, Peyton Cheong, TJ Kimpton, Aidan Marshall, Hannah Turner, Henry Nicholson
Year 7
Gold: Anna Tawara (Best in School)
Silver: Alex Elias, Sophie Stiewe, James Hulls, Julia Munro, Michael Upton, Julian Robinson-Tait, Matthew O'Donoghue, Tom Akeroyd
Bronze: Will Greedy, Kabir Bhandal, Luke Ravenscroft
Year 6
Silver: Rikako Nishimura
Bronze: Elizabeth Elias, Marcus Lorde, Jae Hyun Rhee
Year 5
Bronze: Julian Hitchcock
Well done to all of them!