Your school guide
Sir Joseph Williamson's Mathematical School
Sir Joseph Williamson’s Mathematical School in Rochester admits boys through the Medway Test and a separate secondary-school application.
Grammar school · Rochester, Medway
Prepare with confidence.
Use Plusling to prepare for 11+ entry to Sir Joseph Williamson's Mathematical School. Build skills with original questions, understand the answers and turn tricky topics into your next step forward.
Try five free questions. See the feedback for yourself.

Meet the school
At a glance
Facts checked
- September 2027 admission arrangements
- 2027–28 school policy; entry via Medway Test
- Sir Joseph Williamson’s Mathematical School
Maidstone Road, Rochester, Kent, ME1 3EL
Plan your approach
Year 7 entry
For September 2027 entry
Year 7 entry for September 2027 is through the Medway Test and the school’s published 2027–28 admission arrangements. Medway’s familiarisation booklet describes English, Mathematics and Reasoning papers. The test took place in September 2026; applications for a secondary place close on 31 October 2026.
- Assessment
- Medway Test
- Provider
- GL Assessment
What the assessment covers
- English
- Mathematics
- Verbal reasoning
- Non verbal reasoning
- Spatial reasoning
A Medway Test pass does not guarantee a grammar school place; school oversubscription rules still apply.
Families considering grammar schools outside Medway may need a different area’s test.
Explore this shared admissions route →
The admissions process
- Three test papers: English, Mathematics and Reasoning
- The September 2027 entry test took place on 15–16 or 19–20 September 2026, according to the child’s primary-school location; Medway published results on 14 October.
- Apply for a secondary school place by 31 October 2026; places are allocated under the school’s 2027–28 arrangements and Medway’s coordinated scheme.
Read the official details: Admissions information from Sir Joseph Williamson's Mathematical School
Go to the source
Official links for your shortlist
Use the school’s current admissions information to check which sample papers or familiarisation materials apply to your child’s entry year.
From subjects to skills
Turn the assessment subjects into a practice plan.
Start with these core skills from the published subject list. Pair the official assessment material with regular Plusling practice.
English
A useful place to start
Read a short passage together. Ask your child to find evidence for an answer and explain unfamiliar words in context.
Build on it with Plusling
Build on that reading with Plusling’s English questions and explanations, then choose a topic to practise again.
Start the 5-question English quizMaths
A useful place to start
Ask your child to explain their method, estimate the answer and check the final calculation. Notice which step needs more practice.
Build on it with Plusling
Use Plusling’s original maths questions and worked explanations to make those next practice sessions count.
Start the 5-question maths quizVerbal reasoning
A useful place to start
Talk through word relationships, letter patterns and codes. Encourage your child to explain the rule before choosing an answer.
Build on it with Plusling
Explore words and logic with Plusling’s verbal reasoning quizzes, with feedback that helps the next attempt feel clearer.
Start the 5-question verbal reasoning quizNon-verbal reasoning
A useful place to start
Look for changes in shape, position, shading and direction. Work out one rule at a time before checking it against the choices.
Build on it with Plusling
Give visual reasoning another go in Plusling, with original puzzles and explanations your child can return to.
Start the 5-question non-verbal reasoning quizPrint, practise, build confidence
Printable practice for these subjects
Original Plusling papers with space to work and separate answers and explanations.

English papers
Explore the papers
Maths papers
Explore the papers
Verbal Reasoning papers
Explore the papers
Non-Verbal Reasoning papers
Explore the papersThese are Plusling skills practice, not official school or test papers.
Keep the practical steps clear
Your application starting points
Use the official links on this page to answer these questions for your child’s entry year.
Check the entry point and eligibility
Confirm the year group, age requirements and any conditions that apply to your child.
Put the right dates in your diary
Note any published registration, assessment, application and offer-response dates that apply to your child’s route. They may be separate steps.
Check the assessment guidance
If an assessment applies, look for official examples, question formats, timings and answer instructions to help plan your child’s preparation.
Read the school’s admissions criteria
Check catchment, oversubscription rules and any supplementary form alongside the test registration.
Picture your child’s everyday life here.
An open day is a chance to look beyond the exam. Useful questions to take with you:
- How do you help new pupils settle in and make friends?
- Who can a child turn to when they feel worried or stuck?
- How do you help pupils recover from a setback and discover their strengths?
Know where to focus
Give their preparation a clear direction.
See the topics your child has practised, revisit questions that need another look and choose a focus for the next session. Plusling helps you put your time where it can be useful.
- Topic summaries and practice history
- Choose topics in Focus Practice
- Progress to discuss with the adults helping them

Their next step starts here
Give their 11+ preparation a confident start.
Try Plusling together. Five free questions, useful feedback and a first look at a friendlier way to practise.
Before you apply
- Check the school’s current admissions arrangements for your entry year, including eligibility, application steps and any access arrangements.
- Registered ages and pupil classifications describe the establishment; admission arrangements for particular year groups can differ.
Plusling’s guide to Sir Joseph Williamson's Mathematical School is independently written. The school and its admissions authority publish the official arrangements.
Contains government school-register data licensed under the Open Government Licence v3.0.
Primary sources
- Sir Joseph Williamson's Mathematical School: school details Department for Education
- Admissions - Sir Joseph Williamson's Mathematical School Sir Joseph Williamson's Mathematical School
- Admissions Arrangements 2027/28 Sir Joseph Williamson’s Mathematical School
- Medway Test familiarisation booklet Medway Council
- Key dates for September 2027 secondary admission and Medway Test Medway Council