11+ Maths Practice: Complete Preparation Guide
Use school-specific maths papers, topic checklists, worked strategies and timed practice to prepare for grammar and independent-school 11+ exams.
SEARCH for replica 11 plus practice papers FOR ANY SCHOOL.
FREE 11 Plus Practice Tests with answers
11+ Maths: what to do first
Use school-specific maths papers, topic checklists, worked strategies and timed practice to prepare for grammar and independent-school 11+ exams.
Secure number fluency
Four operations, place value, fractions, decimals, percentages and ratio should be dependable before timed papers dominate preparation.
Teach multi-step problems
Ask pupils to underline relevant information, identify the operation, show working and check whether the answer is plausible.
Cover geometry and measures
Angles, perimeter, area, coordinates, units and interpretation of diagrams can all appear depending on the school.
Use past papers selectively
Real school papers help calibrate difficulty, but do not repeatedly use the hardest papers before core skills are secure.
Build speed after accuracy
Short timed sets are better than full mocks when a pupil is still learning a method.
Analyse every recurring error
Classify mistakes as knowledge, method, reading, arithmetic or timing errors, then teach the appropriate remedy.
11+ critical thinking practice
For pupils whose target school uses this style, retain the existing SET resource: 11+ Critical Thinking Analysis Pack.
How to use 11+ practice effectively
Diagnose
Start with a short representative task. Record the question types missed, omissions and signs of time pressure.
Teach
Explain the underlying English, maths or reasoning skill before asking the pupil to repeat the same format.
Practise
Use several focused examples, then mix them with previously learned material so the pupil has to select the method independently.
Review
Return to weak areas after a delay. Improvement that survives a week is more useful than an immediate post-explanation score rise.
Understanding the assessment
School Entrance Tests focuses on what pupils, parents and tutors need for preparation: test formats, school-specific papers, question types, timing and practical revision. For the deeper psychometric explanation—what the assessment measures, how scores should be interpreted and the limits of practice—use the linked Rob Williams Assessment guide.
Age-related 11+ practice
Year 3
Build reading depth, vocabulary, number confidence and reasoning habits. Keep practice short and largely untimed.
Year 4
Introduce structured preparation, the main question types and a regular weekly routine while keeping accuracy ahead of speed.
Year 5
Complete the syllabus, practise the target exam format, introduce timing and begin realistic school-specific papers.
Year 6
Consolidate reliable methods, rehearse exam timing, use final mocks selectively and protect confidence in the last weeks.
Practical SET 11+ resources
Free 11+ Papers
11+ Maths Papers
11+ English Papers
11+ Verbal Reasoning
11+ Non-Verbal Reasoning
Use school-specific papers wherever possible
Official specimen and past papers from the target school are especially useful because they show the school’s own question style, expected standard and assessment structure.
Assessment guides from Rob Williams Assessment
Core 11+ assessment guides
2026 11 Plus ExplainedGrammar Schools Guide11+ Exam Boards & Test TypesGL Assessment 11+CEM / Cambridge Select InsightISEB 11+ISEB Common Pre-Tests11+ Maths11+ English11+ Verbal Reasoning11+ Non-Verbal Reasoning11+ Exam Dates11+ Results DayImprove Your 11+ ScoreYear 3 PreparationYear 4 PreparationYear 5 PreparationYear 6 Preparation
Selective schools by region
Birmingham & West MidlandsWarwickshireLiverpool & WirralManchester & TraffordGloucestershireLincolnshireDevonDorset, Bournemouth & PooleYorkshire & North YorkshireMedwayBexleySutton
Common preparation mistakes
- Using generic papers before checking the target school’s current test.
- Starting full timed mocks before the pupil understands the question types.
- Recording only total scores and not the cause of errors.
- Spending too much time practising a pupil’s strongest subject.
- Assuming one publisher or one regional pass mark applies nationally.
- Ignoring registration, answer-sheet or online-platform familiarisation.
11+ Maths FAQs
Which practice papers should we use?
Start with the target school or consortium’s official specimen material, then choose practice that matches the same subjects, question types and delivery format.
When should practice become timed?
Once the pupil understands the method and can solve the question type accurately. Add short time limits gradually.
How often should a child do full mock papers?
Full mocks are most useful after the core skills are secure. Earlier in preparation, targeted teaching and shorter practice sets are usually more informative.
Are historical pass marks reliable?
They provide context only. Standardisation, applicant cohorts, school capacity and admissions rules can change.
Should preparation differ by age?
Yes. Year 3 should emphasise foundations; Year 4 structured familiarisation; Year 5 core preparation; Year 6 consolidation and realistic rehearsal.
Where can I read the psychometric explanation?
Use the linked Rob Williams Assessment guide for deeper explanation of what the assessment measures, standardisation and score interpretation.
Prepare for the test your school actually uses
Check the current school or consortium format, use the closest available past or specimen papers, teach weak skills explicitly and add realistic timing only after accuracy is secure.
11 plus maths past papers for private school entry
Hope you enjoy our free sample 11 plus tests below:
11_Plus_Maths_Sample-Paper and 11_Plus_Maths_practice-papers.
Or browse our Maths puzzle books below:
Maths-puzzle-book_1 and Maths-puzzle-book_2.
11 plus critical thinking practice
11+ Maths Past Papers
- Alleyn’s School: 11+ Mathematics Sample Examination Paper 1
- 11 plus Alleyn’s School Mathematics Sample Examination Paper 2
- Bancroft’s School: 11+ Mathematics Sample Paper 1
- 11 plus Bancroft’s School: 11+ Mathematics Sample Paper 2
- Christ’s Hospital School: 11+ Residential Assessment Year 7 Mathematics
- City of London School: 11+ Maths
- Colfe’s School: 11+ Examination Mathematics Sample Paper
- Dulwich College: 11+ Mathematics Specimen Paper A
- 11 plus Dulwich College: 11+ Mathematics Specimen Paper B
- Dulwich College: 11+ Mathematics Specimen Paper C
- 11 plus Dulwich College: 11+ Mathematics Specimen Paper D
More 11 plus maths past papers
- Emanuel School: 11+ Mathematics A
- 11 plus Emanuel School: 11+ Mathematics B
- The Haberdashers’ Aske’s Boys’ School: 11+ Mathematics Specimen Paper 2017
- Highgate School: 11+ Assessment Sample Mathematics Test A
- 11 plus Highgate School: 11+ Maths Paper A
- Highgate School: 11+ Maths Paper B
- 11 plus Highgate School: 11+ Maths Paper C
- Highgate School: 11+ Assessment Sample Mathematics Test B
- King Edward’s School Birmingham: 11+ Mathematics Sample
- Kent College: 11+ Maths Paper
- Kingston Grammar School: 11+ Specimen Mathematics Questions
- Magdalen College School Oxford: 11+ Specimen Mathematics
- Merchant Taylors’ School: 11+ Maths Paper 1
- 11 plus Merchant Taylors’ School: 11+ Maths Paper 2
- Oundle School: 11+ Mathematics 2018 Junior Entrance Examination First Form Entry
- Maths Oundle Paper
- Oundle School: Maths Paper 2
- The Perse School: 11+ Maths Paper 1 and The Perse School: 11+ Maths Paper 2
- Radnor House: 11+ Mathematics Paper
- Reigate Grammar School: 11+ 2017 Mathematics Paper
- 11 plus Reigate Grammar School: 11+ Maths Paper Sample
- Sevenoaks School: 11+ 2017 Mathematics Past Paper
- 11 plus Sevenoaks School: 11+ 2018 Mathematics Paper
- Sevenoaks School: 11+ 2019 Mathematics Paper
- 11 plus Sevenoaks School: 11+ 2020 Mathematics Paper
- Sevenoaks School: 11+ 2021 Mathematics Paper
- 11 plus Sevenoaks School: 11+ 2022 Mathematics Paper
- Sevenoaks School: 11+ 2023 Mathematics Paper
- St George’s College: Maths and English
- St. George’s College: Maths
- St Paul’s Girls School: Maths Paper 1 and St Paul’s Girls School: Maths Paper 2
- Trinity School: Maths
FREE 11 plus exam practice and 11 plus sample papers
11 plus exam syllabus for private school entry.
FREE 11+ test practice for private school entrance.
11 plus private school entry past paper.
Latest comprehensive list of London 11 plus private school past papers.
Prep School past papers
- 5 plus past papers
- 6 plus past papers
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Private secondary school past papers
Academically selective schools assess their pupils either at 11+ or 13+. These may include Maths 11 plus, English 11 plus, verbal reasoning 11 plus, Non-verbal reasoning 11 plus and exams on various other subjects. The best would be to check the Admissions page of your preferred schools.
FREE Independent School 11 plus exam practice papers
- 11+ Maths Sample Paper (Stockport Grammar School) 2020
- Maths (Reigate Grammar School 2013)
- 11+ Maths (Reigate Grammar School 2012)
- 11+Maths Sample Paper (Stockport Grammar School) 2020 Answers
- 11+ Maths Sample Paper (Stockport Grammar School) 2020
- 11 plus Maths Sample Paper (Stockport Grammar School) 2020 Answers
- 11+ Maths Paper 1 Sample (Emanuel School) 2020
- 11 Plus Maths Paper2 Sample (Emanuel School) 2020
- 11 + Maths Sample (Forest School) 2020
- 11 Plus Maths Sample (Trinity School) 2021
- Maths 11+ Sample (Trinity School) 2021 Answers
- 11 Plus English Sample (Aldenham School) 2020
- Maths 11 plus Sample (Aldenham School) 2020
- 11 Plus Maths (City of London School for Boys) 2020 Sample
- 11+ Maths Sample (Sevenoaks School) 2020
- 11 Plus Maths Sample (Sevenoaks School) 2021
- Maths 11 plus Sample (Sevenoaks School) 2019
ASK YOUR 11+ maths questions HERE
Do you have an 11 plus maths question? Then ask Rob, our specialist 11 plus maths test designer) here: passedpapers@gmail.com.
Maths skills assessed by our 11 + Maths test practice papers.
How to pass 11+ Maths exam for a private school place
Although you may not finish the test, the best strategy is to answer as many questions as you can in the time available.
- Before deciding upon your final answer, you may be able to rule out one or two of the multiple choice questions as incorrect.
- Read each question and review each chart very carefully – taking one chart and its associated questions at a time. Only start looking at the answer options once you have done this.
- Ensure that you are aware of the units of measurement that each question is referring to.
- Each question is worth the same so don’t spend too long on a single question. Remember that you may find subsequent questions easier to answer and that if there is time at the end of the test you can return to any unfinished questions.
- Work efficiently, but do not rush. Although you may not finish the test, the best strategy is to answer as many questions as you can in the time available.
- Remember to only use the information that is provided in the charts and not any of your own background knowledge.
- Round up any decimal points and any pence (whilst taking account of any specific instructions provided).
See our useful guide: Where is my local grammar school?
FREE TO DOWNLOAD Maths 11 plus Past Papers
11Plus Maths 11+Maths Sample (Aldenham School 2019) 11Plus Maths Sample Paper 1 (Alleyn’s School) 11+Maths Sample (Bancroft’s School 2018) Maths Sample Paper (Bancroft’s School) 11 Plus Maths Sample Paper 1 2016 (Bancroft’s School) Maths Sample Paper 2 2016 (Bancroft’s School) 11 Plus Maths Sample Paper 1 2017 (Bancroft’s School) Maths Practice Paper (Blackheath High School) 11+ Maths (Colfe’s School) Maths (City of London Freemen’s School) 11+ Maths (City of London School for Girls 2014) Maths (City of London School for Girls 2013) 11+ Maths (City of London School for Girls 2012) 11+ Maths (City of London School for Girls 2010).
Maths (City of London School for Girls 2009) 11+ Maths (City of London School for Girls 2008) Maths (Colfe’s School) 11+ Maths (Dame Alice Owens School) and Maths Mark Scheme (Dame Alice Owens School) 11 Plus Maths (Dulwich College) Maths (Dulwich College Specimen Paper A) 11 Plus Maths (Dulwich College Specimen Paper B) Maths (Dulwich College Specimen Paper C) 11+Plus Maths (Dulwich College Specimen Paper D)
11 Maths Papers Part II
Maths (Emanuel) 
11+ Maths (Godolphin & Latymer 2009) Maths (Godolphin & Latymer 2008) 11+ Maths (Haberdashers’ Aske’s 2016) Maths (Haberdashers’ Aske’s 2014) 11+ Maths (Haberdashers’ Aske’s 2013) Maths (Haberdashers’ Aske’s Boys’ School 2011) 11+ Maths (Haberdashers’ Aske’s Boys’ School 2010) Maths (Haberdashers’ Aske’s Boys’ School 2009) 11Maths (Hampton Court House)
11 plus Maths tips
Maths – Group E (King’s College School Wimbledon September 2012) 11 + Maths (Latymer Upper School 2014) Maths (LIGSC) 11 + Maths (LIGSC 2013) Maths (LIGSC 2012) 11 + Maths (LIGSC 2010) Maths (LIGSC 2009-10) 11 + Maths (LIGSC 2008) Maths Group 1 (LIGSC January 2011) 11 + Maths Group 1 (LIGSC 2010) Maths Group 1 (LIGSC January 2009)
11 plus Maths preparation
11 + Maths (Merchant Taylors) Maths (Merchant Taylors 2009) 11 + Maths Group 1 (NLIGSC 2012) Maths Group 2 (NLIGSC 2012) Maths Group 1 (Notting Hill & Ealing High School 2016) 11 + Maths (Notting Hill & Ealing High School 2015) Maths (Notting Hill & Ealing High School 2014) 11 + Maths (Notting Hill & Ealing High School 2013) Maths (Notting Hill & Ealing High School 2012) 11 + Maths (Notting Hill & Ealing High School 2011).
Maths (Notting Hill & Ealing High School 2010) 11 + Maths (Notting Hill & Ealing High School 2009) Maths (Notting Hill & Ealing High School 2008)
We also recommend Rob Williams Assessment’s FREE 11 Plus Practice Tests with answers.
11 + Maths (Oundle 2008) Maths Specimen Paper 1 (The Perse Upper School Cambridge) 11 + Maths Specimen Paper 2 (The Perse Upper School Cambridge) Maths Specimen Paper 3 (The Perse Upper School Cambridge) 11 + Maths Specimen Paper 4 (The Perse Upper School Cambridge) Specimen Paper 5 (The Perse Upper School Cambridge)
Maths Past Papers 11 Plus
Maths (The Queen’s School) 11 + Maths (Royal Russell) Maths (Reigate Grammar School 2013) 11 + Maths (Reigate Grammar School 2012) Maths (Sevenoaks 2017) 11 + Maths (Sevenoaks 2016) Maths (Sevenoaks 2015) 11 + Maths (Sevenoaks 2014) Maths (Sevenoaks 2013) 11 + Maths (Sevenoaks 2012) Maths (Sevenoaks 2011).
11 + Maths (Sevenoaks 2010) Maths Sample Questions (St George’s College Weybridge) 11 + Maths – Paper 1 (St Paul’s Girls’ School) Maths – Paper 2 (St Paul’s Girls’ School) 11 + Maths Specimen Paper (The Cedars School) Maths Specimen Paper 2017 (The Cedars)
11 + Maths Sample Questions (Trinity School) 10+ 11+12+ Maths Sample Questions Syllabus (Whitgift) 11 Plus Maths Section A (King’s College School Wimbledon 2017 and Pre-test 2019) Maths Section B (King’s College School Wimbledon 2017 and Pre-test 2019) 11 Plus Maths (King’s College School Wimbledon 2014) Maths – Group E (King’s College School Wimbledon September 2012) 11 Plus Maths (Latymer Upper School 2014) Maths (Royal Russell)
Where’s my local London Grammar Schools?
11 Plus Maths – Paper 1 (St Paul’s Girls’ School) Maths – Paper 2 (St Paul’s Girls’ School) 11 Plus Maths (Streatham & Clapham High School) Maths Specimen Paper (The Cedars School) 11 Plus Maths Specimen Paper 2017 (The Cedars) Maths Sample Questions (Trinity School)
Maths Paper2 2001 KeyStage 3 Maths Paper 2 Answers 2001 Key Stage 3 Maths Paper 2 2001
Maths Paper 2 Answers 2000 Maths Paper 1 2000 Key Stage 3 Maths Paper 2000
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