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2011 Junior Mathematical Challenge

The Junior Challenge, from the United Kingdom Mathematics Trust (UKMT), is aimed at the top third of pupils in Year 8 or below in England and Wales, Year 9 or below in Northern Ireland and S2 or below in Scotland.

The challenge involves answering 25 multiple choice questions in one hour and is sat in school under normal examination conditions.

The Junior Mathematical Challenge (JMC) is a multiple choice contest, in which students are presented with five alternative answers, of which just one is correct. No reasons for the answers need to be given. However, providing good and clear explanations is the heart of doing mathematics.

The solutions given here are full solutions with all steps explained. They have also been extended. In some cases alternative solutions are given, and there are some extension problems included for further investigations.

These solutions can be used as a model for the type of written solution that is expected in the Junior Mathematical Olympiad and similar competitions.

Questions from the Junior Challenge can be used as enrichment material in the classroom across the ability range.

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