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Sir Joseph Williamson's Mathematical School: Comprehensive 11+ Admissions Guide

Sir Joseph Williamson's Mathematical School: Comprehensive 11+ Admissions Guide

Taylor Tuition

Educational Consultancy

20 August 2025
6 min read

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11+
Grammar School
Admissions
Kent

Key Facts

School TypeBoys' grammar school with co-educational sixth form
Age Range11-18 years
LocationRochester, Kent
Student NumbersApproximately 1,450 pupils
StatusAcademy (since 2011)
Special DesignationsNational Support School, leads Thames Gateway Teaching School Hub
11+ RequirementsMathematics, English, Verbal and Non-Verbal Reasoning
Application DeadlineLocal authority deadline (typically October 31st)

Figures correct at the time of writing — always confirm current fees and deadlines with the school directly.

Key Information Summary

  • School Type: Boys' grammar school with co-educational sixth form
  • Age Range: 11-18 years
  • Location: Rochester, Kent
  • Student Numbers: Approximately 1,450 pupils
  • Status: Academy (since 2011)
  • Special Designations: National Support School, leads Thames Gateway Teaching School Hub
  • 11+ Requirements: Mathematics, English, Verbal and Non-Verbal Reasoning
  • Application Deadline: Local authority deadline (typically October 31st)

About Sir Joseph Williamson's Mathematical School

Sir Joseph Williamson's Mathematical School, affectionately known as 'the Math' by pupils and the local community, has been a cornerstone of educational excellence in Rochester, Kent since its establishment. This boys' grammar school with a co-educational sixth form serves approximately 1,450 students and has built a reputation for academic rigour and mathematical excellence that extends far beyond the Medway area.

The school's transformation into an Academy in April 2011 marked a new chapter in its distinguished history, enabling greater autonomy whilst maintaining its commitment to selective education. Recognition as a National Support School reflects the institution's outstanding performance and its role in supporting other schools across the country. The Principal's designation as a National Leader of Education further underscores the quality of leadership and educational vision that drives the school forward.

What truly sets SJWMS apart is its leadership of both the Thames Gateway Teaching School Hub and the Kent and Medway Maths Hub. This dual responsibility positions the school at the forefront of educational innovation, particularly in mathematics education, whilst contributing to the professional development of teachers across the region. The school's commitment to mathematical excellence is evident not only in its name but in its comprehensive approach to STEM education.

Located on Maidstone Road in Rochester, the school benefits from excellent transport links whilst serving families throughout Kent and Medway. The diverse community encompasses students from various backgrounds, all united by their academic potential and commitment to learning. This diversity enriches the educational experience and prepares pupils for success in an increasingly globalised world.

The 11+ Assessment Process at Sir Joseph Williamson's Mathematical School

The 11+ examination for SJWMS follows the Kent Test format, designed to identify pupils with the academic potential to thrive in a selective grammar school environment. The assessment comprises four distinct components, each targeting different cognitive abilities essential for success at this academically demanding institution.

Mathematics Assessment: This component evaluates numerical reasoning, problem-solving capabilities, and mathematical concepts appropriate for Year 6 pupils. Questions cover arithmetic, basic algebra, geometry, and data interpretation, requiring both accuracy and efficient working under time pressure.

English Component: The English section assesses reading comprehension, vocabulary knowledge, and language skills. Pupils encounter various text types and must demonstrate their ability to extract information, infer meaning, and understand complex written material.

Verbal Reasoning: This section tests logical thinking through language-based questions, including analogies, word relationships, and comprehension exercises. It evaluates a pupil's ability to think systematically and solve problems using verbal concepts.

Non-Verbal Reasoning: The final component assesses spatial awareness, pattern recognition, and logical thinking through visual puzzles and diagrams. This section is particularly important as it tests cognitive abilities that are less dependent on prior learning.

The examination typically takes place in September of Year 6, with results released in October. Pupils achieving the required standard are invited to select SJWMS as their preferred secondary school through the local authority application process.

How to Apply to Sir Joseph Williamson's Mathematical School

The application process for SJWMS requires careful planning and adherence to specific deadlines. Parents should begin preparation well in advance to ensure their child has the best opportunity for success.

Registration for the Kent Test: Parents must register their child for the Kent Test, which serves as the 11+ examination for grammar schools in the area. Registration typically opens in June for tests in September, with a closing date in early July. Late registrations may be possible but incur additional fees.

Eligibility Requirements: Children must be in Year 6 of primary education and meet specific residential criteria. Priority is given to pupils living in designated catchment areas, though the school welcomes applications from across Kent and Medway.

School Application Process: Following successful performance in the Kent Test, parents must submit their secondary school application through the local authority's online system. SJWMS should be listed as the first preference to maximise chances of admission.

Open Events and School Visits: The school hosts several open events throughout the year, providing invaluable opportunities for prospective pupils and families to experience the school environment firsthand. These events typically include presentations from senior leadership, guided tours by current pupils, and opportunities to meet teaching staff.

Key Deadlines: Applications must be submitted by October 31st, with offers communicated on National Offer Day in March. Parents then have several weeks to accept or decline their offer and submit appeals if necessary.

Preparing for the Sir Joseph Williamson's Mathematical School 11+ with Taylor Tuition

Families preparing for the Sir Joseph Williamson's Mathematical School 11+ usually come to us a year or so before the assessment, though shorter runs work where the foundations are already sound. Having prepared pupils for entry to leading independent and grammar schools, with placements including Westminster, St Paul's, Wycombe Abbey and Eton, our tutors build each programme around the format the school actually uses, whether a written paper, an online pre-test, an interview or a combination of them.

More than half of our tutors hold Qualified Teacher Status and around three in five hold a master's degree or doctorate, and the pool includes former heads of department, exam-board examiners and teachers from independent and boarding schools, so the preparation is led by people who know how selective schools assess. Every tutor who works with children holds an enhanced DBS check.

Families work with us online from anywhere in the UK or abroad, and in person in central London. Fees start from £50 per 50-minute session and depend on tutor level and subject, with no registration fee and a free initial consultation to talk through your child's current level and the timeline to the 11+. Families receive progress reports after sessions and have a dedicated point of contact, and we reply to enquiries within one working day with tutor recommendations.

Read more about our 11+ entrance exam tutors, or send an enquiry and we will come back with tutor recommendations.

Frequently asked questions

Is Sir Joseph Williamson's Mathematical School a grammar school?
Sir Joseph Williamson's Mathematical School is a boys' grammar school with co-educational sixth form — a state school, so no tuition fees apply, with entry through the selective 11+ process.
When do you need to apply to Sir Joseph Williamson's Mathematical School?
Application Deadline: Local authority deadline (typically October 31st). Registering well ahead of the deadline gives your child the longest possible preparation runway.
How should my child prepare for the Sir Joseph Williamson's Mathematical School 11+?
Start structured preparation 12–18 months before the assessment: secure core English and maths beyond curriculum pace, introduce verbal and non-verbal reasoning question types systematically (these are rarely taught at primary school), and build up to timed practice in the final months.

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