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No answers, or personal details, may be entered after the allowed hour Is over. Use B or HB pencil only. Do not mark more than one option. Do not expect to finish the whole paperin 1 hour. Concentrate first on Questions When you have checked your answers to these, have go at some of the later questions. Five marks aro awarded for each correct answer to Questions Six marks are awarded for each correct answer to Questions Each incorrect answer to Questions loses 1 mark.
Each incorrect answer to Questions loses 2 marks. Do not write or doodle on the shoot except to mark your chosen options. You get more marks, and mote satisfaction, by doing one question carefully then by guessing lots of answers, The UK IMC is about solving interesting problems, not about lucky guessing.
Which ofthe following numbers is not a perfect square? As B36 c 6 D 80 B number ten million one fuzuired thousand and one written? Acar tin snag frac i, Tae to a era ie aed aoe? Which oft A adatboard pitch D agetfcouse ini cout 1. When 7 thee sade, thee fase mets each vertex. The ber on theives face which tet teach vetex ae mpied topther. On the second day one third ofthe remainder wandered off. On the third day one quarter ofthe rest hopped it.
What is the area of the shaded region Ga square units? What is the smallest possible you dra? What isthe area of langle ADC? What is one third ofthe original nuraber? Which ofthe following. How bigis Zhozt. Bizabotb 11,21 Apsil ao BI c2 Ds 3 more than three 8. What is the lowest mark I ; could have scored on any one test? Approximately how many acres ae lost each woek? What isthe fomperacure in degrees Cet in anssier which is too large by 1? If there are people infront of G yi Baes-y 9 Cnoxty-1 Dr squsce tin of side 12 inches.
For four of these shi make a rectangle. Ao BL cis D2 E22 Intermediate Challenge 1. Which ofthese numbers is biggest? In Britain in we consumed on aye ye9. Approximately how big a fine should the person who returned the book have paid? What Traction of tho somicivele s shaded? Boeri eee eee 2 gl el p2 gh. How ma Group I? There ae four chaits at each table. KS: Five of us ate them. How many chocolate ice creams were soit? Which isthe largest ofthese fractions? Inthe partially completed hat number should replace integers?
Two circular ares of equal radius are drawn with centres A and B. These ares tmeet on the circle, as shows, What is the shaded area? A B Adem Bian? Alice's room is furnished The letter product of «mune is. How many three-legged stools are there? Aa B2 c3 Da BS al triangle divided into small. A 2p B 2p cm» D 2p E 20 multiplying the numbor by the number of eters leter product of Sis 20, sine there ae 4 letters the following has the largest letter-product po jn the corresponding word.
Which of thet sa Langford number? Without bonding the hardboard, how many of these can get lvough an open rectangular window measoring 6D cm x em? Whats the value ots? Ae —-B7S. A cylindrical ean contains Femonade, Intermediate Challenge 49 iagram in which lemonade? Bo ca D4 BS. A digital clock uses two digits to display hours, two digits to display minates and two digits to display seconds, ex. Ii 'w0 hours, roughly how many Kilometres docs it uavel? Whats the value of "? Multiply your answer by 4 snd from this tke away 5.
Not number you first thought of. Assuming this popatation is 60 million fand the average mass ofa human is 70 kg, whats the mass, in fonnes, of insects caught by spiders per year in the UK? How many minutes will pas before the clock next shows a time for which al the digits are the same?
Hach edge of a cube is coloured either red or black. If every. Whats the maximum number of pieces with the shape T. Which ofthe following fractions is i the middle whea they are writen in numerical order? BY what percentage did her time deeresss? The previous palindromic date and the uext few all occur in the month of February, What will be the next month other than February to havea palindromic date in it? BM cw peas? In Niatieh they use Cibara numerals. A2 Ba ca Ds B6 inese auanbers can make two paits so that each pair adds up to How many white squares are there on the larger board?
Four ofthese points Ke on a single straight line. Two different Kangaroo papers follow on from the Intermediate Maths Challenge and the next highest scorers below the Olympiad threshold are invited to take part both papers are by invitation only. The Grey Kangaroo is sat by students in year 9 and below and the Pink Kangaroo is sat by those in years 10 and All those who sit either Kangaroo also receive a keyfob containing a different mathematical puzzle each year.
The puzzles along with solutions . The Senior Mathematical Challenge SMC is open to students who are aged 19 or below and are not registered to attend a university. SMC consists of twenty-five multiple choice questions to be answered in 90 minutes. All candidates start with 25 marks, each correct answer is awarded 4 marks and 1 mark is deducted for each incorrect answer. This gives a score between 0 and marks. Further, the top highest scorers who are eligible to represent the UK at the International Mathematical Olympiad , together with any discretionary and international candidates, are invited to compete in the British Mathematical Olympiad and the next around highest scorers are invited to sit the Senior Kangaroo.
Discretionary candidates are those students who are entered by their mathematics teachers, on payment of a fee, who did not score quite well enough in the SMC, but who might cope well in the next round. Round 1 of the Olympiad is a three-and-a-half hour examination including six more difficult, long answer questions, which serve to test entrants' problem-solving skills. As of , a more accessible first question was added to the paper; before this, it only consisted of 5 questions. Around highest scoring candidated from BMO1 are invited to sit the second round , with the same time limit, in which 4 questions are posed.
The top 24 scoring students from the second round are subsequently invited to a training camp at Trinity College, Cambridge for the first stage of the International Mathematical Olympiad UK team selection. The Senior Kangaroo is a one-hour examination to which the next around highest scorers below the Olympiad threshold are invited and unlike the Olympiad, a fee cannot be paid for entry.
The paper consists of twenty questions, each of which require three digit answers leading zeros are used if the answer is less than , since the paper is marked by machine. One team from each participating school, comprising four pupils selected from year 8 and 9 ages 12—14 , competes in a regional round.
No more than 2 pupils on a team may be from Year 9. There are over 60 regional competitions in the UK, held between February and May. The winning team in each regional round, as well as a few high-scoring runners-up from throughout the country, are then invited to the National Final in London, usually in late June.
In the National Final however an additional 'Poster Round' is added at the beginning. The poster round is a separate competition, however, since it is worth up to six marks towards the main event. A pilot event for a competition similar to the Team Challenge, aimed at to year-olds, was launched in the Autumn of and has been running ever since. The format is much the same, with a limit of two year 13 Upper Sixth-Form pupils per team.
Regional finals take place between October and December, with the National Final in early February the following year. Previous winners are below: . For more information see British Mathematical Olympiad Subtrust. From Wikipedia, the free encyclopedia. This article has multiple issues. Please help improve it or discuss these issues on the talk page.
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November Learn how and when to remove this template message. Main article: European Kangaroo. This section needs to be updated. Please update this article to reflect recent events or newly available information. May Main article: British Mathematical Olympiad. Mathematics in the United Kingdom. Hidden categories: Articles needing additional references from November All articles needing additional references Articles with self-published sources from November All articles with self-published sources Articles with multiple maintenance issues Use dmy dates from February Use British English from February Wikipedia articles in need of updating from May All Wikipedia articles in need of updating.
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