Click UKMT Challenge and scroll to the relevant section for a detailed description and everything you could possible need to want to know about the Intermediate Challenge.
The following papers can be found below
-
Intermediate Challenge : from 1999 to 2023
-
Junior Kangarooo : from 2015 - 2023 (the first paper that exists is 2015)
-
Junior Olympiad : from 2010 - 2023 (the first paper that exists is 2015)
There is also a section below when questions are categorised according to topic to help students hone in on particular skills. All are harder questions from Intermediate Challenge past papers, i.e. Q16-25, the point at which points are lost for incorrect answers. The topics for these questions are somewhat less evenly distributed than in Junior Challenge (it is more geometry-heavy). The ratio of (harder) question types for 2004-2012 is somewhat interesting: 38 were geometry, 16 were some kind of 'spatial reasoning' (paths through networks, rotating objects, etc.), 16 were general number problems (e.g. ratio, time, density, etc.), 14 'number theory' problems (involving integers, primes, digits, etc.) and just 6 non-applied algebra. As with the Olympiad, clearly the key to a high score is to master the geometry problems, many of which follow a similar approach.
Intermediate Olympiad:
Again, questions are categorised by topic, and 'fact sheets' provide key theory and tips for each of these topics.
The breakdown of questions across a 8 year period from 2004 to 2012:
59 Geometry questions, 28 Number Theory, 25 (non-applied) Algebra, 13 Spatial Reasoning/Logic, 6 Number Grids, 5 Speed/Distance/Time questions, 4 Sequences and just 1 Probability. Obvious conclusion: concentrate preparation on Geometry! Because of this, there is an extra worksheet below involving finding difficult areas and lengths: Geometry Challenge Worksheet.
PDF
