From OCR (MEI) their Foundations of Advanced Mathematics level 2 qualification covers arithmetic, algebra, graphs, trigonometry and statistics. Assessment is by a two hour examination which consists of 40 multiple choice questions. As OCR suggest these questions could be used for diagnostic tests.
Choose Past Papers, mark schemes and reports. Papers and mark schemes from June 2007 are freely available (access to the most recent papers is available for schools only via OCR Interchange).
We could of course illustrate the solution well with the use of a little use of technology!
For superb resources for the Oxford Admissions test multiple choice questions see these Underground Mathematics Review Questions where you will find not only the questions but suggestions and complete solutions.
A trip down memory lane! (Edexcel’s Emporium has some papers from this era.)
University of London June 1986 Mathematics 1
At the start of my teaching career I really liked the first paper of the Mathematics A level from the University of London School Examinations Board – thirty multiple choice questions to complete in one hour, 15 minutes.
For questions 1 to 20, candidates had to select one answer from 5 and for questions 21-30 the instructions were as follows.
The pdf file here has the paper, followed by the exam board answers followed by notes from the 1986 version of me! These days I would illustrate with Desmos and/or WolframAlpha for example as well where appropriate.
Note the comment from Graham Cummings below, there are further papers available in the Edexcel’s Emporium:
The Emporium has some 17 multiple-choice question papers from the period 1988-1992 – by no means a complete set, but they range across the Mathematics, Further Mathematics, Pure Mathematics and Applied Mathematics syllabuses. You can find them in the “Pre-C2000” cabinet within GCE AS/A Level.
Signing up to Mathematics Emporium is highly recommended, note that it is a free website intended for the use of teachers of mathematics in secondary schools, regardless of what board you use. Register for an account and ensure you supply a correct centre e-mail address in your name for verification, your centre name and centre number.