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The 16+ Mathematics Entry Exam for St Paul’s School

The mathematics entrance exam at 16+ is taken in November for entry to study A Levels in the following September.

The content of the exam is the Edexcel IGCSE syllabus but does not include the topics of arithmetic series and differentiation. The emphasis is on number and algebra skills. The test for entry in September 2026 onwards will be non-calculator.

When you apply to St Paul’s, we need to know whether you intend to take single mathematics A Level or further mathematics A Level.

Pupils who do well on the entrance papers across all their chosen subjects are invited for interview. Interviews are taken by subject specialists at St Paul’s School and last 20-30 mins. The aims of the interview are to:

  • gauge your ability to apply the GCSE mathematics skills in unfamiliar questions.
  • to understand your reasons for choosing the subject.
  • to investigate the additional problem-solving skills you have developed through classes and your independent studies.

We realise that not all schools offer additional problem-solving clubs but there is a huge amount of online material on offer and we want to know what you have discovered.

Here are some questions that have been set in previous years to give you a flavour of the level of questions that we set:




There are a number of things you can do to develop your problem-solving skills.

The last 5 questions of GCSE and IGCSE papers are certainly worth practising. They have become more challenging over the last few years and have little or no scaffolding. You have to develop the solution yourself devising a series of stages that lead you to the answer. It is not always obvious where to start.

Have a look at the questions set by the UKMT for the Intermediate and Senior Mathematical Challenges. The skills required for the challenging questions at the end of the papers use standard number, algebra and geometry skills. However, initially it will not be easy to work out how to apply the skills. With practice, and some guidance from your mathematics teacher, you will gradually improve until you are confidently tackling the majority of the questions.

Encourage your school to enter you for these challenges. You could even start your own mathematics club where similar minded pupils can share ideas to solve the problems.


- Mr Ashworth Jones

Head of Mathematics

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BMO1 Results 2025

It was another successful year for the students who qualified for the British Mathematical Olympiad Round 1 (BMO1). Of the 85 students who took part, 35 received merits, 25 received distinctions, and 7 students qualified for BMO2. Having 7 students qualify for BMO2 is a fantastic achievement, especially given that only around 100–120 students nationwide reach this stage each year. This is also the highest number of merits and distinctions the school has ever attained in BMO1. Well done to all the students who took part — your hard work is truly paying off! Here is a selection of questions from the six problems on the BMO1 2025 paper, courtesy of UKMT. The full paper and mark scheme are available here :