11+ Maths Preparation Guide: Get Your Child Into Grammar School

11+ Tutoring · Grammar & Independent Schools

11+ Maths Tuition That Gets Students Into Top UK Schools

With only 164 grammar schools in England and thousands of families competing for places, proper 11+ preparation isn't optional. It's essential.

At SHLC, we've helped students secure places at Bradford Grammar, Merchant Taylors', Queen Elizabeth's School, The Latymer School, and St George's College. Some received scholarships. Many moved from bottom sets to top sets through structured preparation.

12+
Top schools placed
3
Independent school scholarships
Since 2020
Teaching one to one
25+
Grammar School Offers
Part 1 of 14 · Timing

When to Start Preparing

In shortTop 10% start September of Year 5. Middle 50% start Christmas of Year 4. Bottom 40% start Year 3 or 4. Go by current ability, not by age.

Not all children need the same timeline. Start based on your child's current ability:

Top 10%

Top Performers

Always getting full marks, confident across all subjects, excels in maths.

Start September Year 5
Timeline 12-15 months

Why: Strong foundations already in place. Needs exam exposure and 11+ specific question styles rather than basic skill building.

Middle 50%

Average Performers

Solid understanding but doesn't excel specifically. Capable with proper guidance.

Start Christmas/Jan Year 4
Timeline 18-21 months

Why: Needs time building arithmetic fundamentals (times tables, mental maths, fractions) before tackling 11+ complexity.

Bottom 40%

Struggling Students

Gaps in basic times tables, addition, subtraction. Needs significant support.

Start End Year 3 / Start Year 4
Timeline 24-30 months

Why: Most ground to cover. Many move from bottom sets to top sets through intensive preparation. Extended timeline removes pressure.

? Not sure which group your child is in? Take our quick Study Profile Quiz or the 11+ Readiness Quiz to find out exactly where they stand.

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Part 2 of 14 · Syllabus

The 15 Most Important Maths Topics

In shortFifteen topics cause most of the lost marks, split into foundation, common struggles and advanced. Times tables have to be instant before any of the rest holds.

Based on hundreds of students we've tutored, these topics consistently appear and cause difficulty:

Foundation · Must Be Automatic
  • Times Tables (up to 12×12)Non-negotiable. If these aren't instant, everything else struggles.
  • Place Value & RoundingWhat digits represent, rounding to nearest 10/100/1000 and decimals.
  • Long Multiplication & DivisionColumn methods for large numbers including decimals.
  • Fractions (All Operations)Adding, subtracting, multiplying, dividing. Mixed/improper conversions.
Common Struggles · Practice Heavily
  • Reverse PercentagesFinding original amounts after % changes. Trips students up consistently.
  • Ratio & ProportionSimplifying ratios, sharing in given ratios, scale problems.
  • Long Word ProblemsMulti-step problems requiring careful reading and planning.
  • Simultaneous EquationsBasic two-variable equations for top students.
  • Interior & Exterior AnglesPolygon angles including formulas for interior angle sums.
  • Sequences (Nth Term)Linear, geometric, alternating sequences and finding nth term rules.
Advanced · For Strong Students
  • AlgebraLike terms, expressions, substitution, two-step equations, expanding, factorising.
  • Quadratic FactorisingBasic factorising of x² + 5x + 6 type expressions.
  • Data AnalysisComplex tables, mean/median/mode/range, misleading data.
  • Compound MeasuresSpeed, distance, time. Units, conversions, time calculations.
  • Probability (Multiple Events)Tree diagrams, sample spaces, exhaustive events, combined probabilities.

Complete list of all 11+ topics covered →

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Part 3 of 14 · Materials

Essential Resources & Practice Materials

In shortFree tools and past papers first, then three books, then timed papers. Pick the level where your child scores 50 to 70%, not 100%.

Free Resources

Free Tool

Times Tables Mastery Tool

Learn tables in hours not months using our proven method.

Start learning →
Free Videos

YouTube 11+ Playlist

Complete preparation walkthrough, GL paper solutions, parent guides.

Watch the playlist →
Free Quiz

Study Profile Quiz

Find out what type of learner your child is in under 60 seconds.

Take the quiz →
Free Quiz

11+ Readiness Quiz

Discover which student group your child is in and what their timeline should look like.

Check readiness →
Free Tool

Stepwise Method Practice

Tests whether your child knows which method a question wants, then drills it.

Try Stepwise →
Free Game

Shape Sleuth NVR Game

Rotations, reflections and odd-one-out in real GL and CEM styles.

Play free →
Free Tool

3D Nets Explorer

Fold and unfold every net on screen. A common mark-loser.

Explore nets →
Free Game

Turbo Times Tables Racer

Timed drills that build the recall every 11+ paper assumes.

Start racing →

Also free: the Quick Maths Challenge, an adding and subtracting negatives trainer, KS2 SATs maths papers, and the full free tools library.

Featured videos in the playlist: Complete 11+ Exam Preparation Guide · GL Maths Familiarisation Paper Walkthrough · 3 Must-Have 11+ Maths Books · When to Start 11+ Preparation Timeline.

For maths specifically, our interactive Maths Mastery Lessons teach one topic at a time, then set tiered questions with worked answers.

Useful when a child understands a topic in the moment but cannot reproduce the method a week later.

Recommended Books

Book 1

Schofield & Sims Mental Arithmetic

Building mental maths speed and accuracy. Choose the level where your child gets 50-70% correct, not 100%.

Book 2

CGP 11+ Books

Topic-by-topic explanations and practice. Perfect for systematic coverage after learning each topic.

Book 3

Bond Test Papers

Exam-style practice under timed conditions. Choose GL or CEM format based on your target schools.

Complete guide to choosing the right resources →

SHLC Past Paper Library

911 Free 11+ Papers

Every free 11+ paper we could find, from the exam boards and from the schools themselves, in one filterable library.

  • GL, CEM, CSSE and 112 schools and boards
  • 208 real entrance papers, 625 sample and practice sets, 78 familiarisation booklets
  • Maths, English, verbal and non-verbal reasoning
  • Answers included where the setter published them
  • Filter by board, subject, school and paper type
Free
911 papers
Browse Papers

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Part 4 of 14 · Mock exams

How Many Mock Exams Should They Complete?

In shortFive complete sets is the floor, 8 to 10 is the target. What happens in the days after each mock matters more than the mock itself.

Minimum
5
complete sets
Ideal
8-10
complete sets
Ambitious
12-15+
complete sets

Students completing fewer than 5 mocks often underperform due to exam shock. Those completing 10+ feel significantly more comfortable and confident.

The Critical Part: What You Do AFTER Each Mock

Don't just complete and move to the next one. That wastes the learning opportunity.

1 Complete under strict timed conditions.
2 Mark thoroughly using mark schemes.
3 Analyse results by topic (which topics caused lost marks?).
4 Spend 2-3 days intensively practising weak topics.
5 Reflect on exam technique (time management, misread questions, silly errors).
6 Attempt next mock 1-2 weeks later.

Get professional mock marking with detailed feedback →

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Part 5 of 14 · Daily routine

Daily Practice Routine That Works

In shortTwenty focused minutes, 5 to 6 days a week, beats one long weekend session. Mark the work immediately or the practice is wasted.

Research shows consistent daily practice beats irregular intensive sessions.

Option 1

Rotating Subjects (20 mins daily)

Monday Maths
Tuesday English
Wednesday Verbal Reasoning
Thursday Non-Verbal Reasoning
Friday Mixed / weak areas
Weekend Full timed practice paper
Option 2

Multiple Short Sessions (60 mins daily)

Block 1 20 mins focused practice
Break 5 mins rest
Block 2 20 mins focused practice
Break 5 mins rest
Block 3 20 mins focused practice
Approach One subject per day, rotate weekly

The Non-Negotiables

  • Practice 5-6 days per week minimum
  • Each session must be focused (no phones, TV, distractions)
  • Mark work immediately and review errors
  • Track which topics improve and which remain difficult

Not sure whether your child is actually on track?The free 11+ Readiness Quiz takes a few minutes and tells you which areas need work before you commit to a plan.

Take the Free Quiz

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Part 6 of 14 · Troubleshooting

Warning Signs: When Preparation Isn't Working

In shortThree red flags: overwhelm, forgetting a topic a week later, and arguments every session. Each one has a specific fix below.

!

Red Flag 1: Frustration & Overwhelm

Looks Like Child becomes emotional, upset, or says "I can't do this."
Means Content too advanced for current level. Moved to 11+ material before foundations secure.
Do This Return to Schofield & Sims arithmetic. Master times tables. Build confidence with easier content first.
!

Red Flag 2: Not Remembering Topics

Looks Like They seem to understand during the lesson but completely forget a week later.
Means Learning isn't consolidating. Moving too fast without sufficient practice.
Do This Slow down dramatically. Practice each topic daily for a full week before moving on.
!

Red Flag 3: Parent-Child Relationship Suffering

Looks Like Arguments every practice session. Child resents you. Both stressed.
Means Trying to be parent and tutor at the same time damages relationships.
Do This Get professional help. Outsource the teaching to preserve your relationship as parent.

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Part 7 of 14 · Our services

SHLC 11+ Preparation Services

👨‍🏫

One-to-One 11+ Tuition

£40 / session
  • Diagnostic assessment identifying gaps
  • Personalised programme by exam format
  • Systematic topic coverage with homework
  • Regular mocks with detailed feedback
  • Progress tracking & parent updates
Best for: Families wanting flexibility on session frequency
See how it works
📝

Mock Exam Marking

From £39.99
  • Submit completed practice papers
  • Detailed marking showing where marks lost
  • Topic-by-topic analysis
  • Specific guidance on what to practice next
  • Feedback children can act on
Best for: Families managing prep independently
Get marked

Full detail on how one-to-one sessions run, who teaches them and what a term looks like is on our 11+ maths tutor page.

Free consultation & school-specific advice: We can advise on which exam format your target schools use, give realistic preparation timelines based on current level, share access to past papers from our extensive collection, and create custom mark schemes if you send papers we don't have. Get in touch for free advice →

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Part 8 of 14 · Proof

Real Results: Our Students' Success Stories

Schools Our Students Attend

Grammar school logos
  • Bradford GrammarWest Yorkshire
  • Merchant Taylors'Hertfordshire
  • Queen Elizabeth'sLondon
  • The Latymer SchoolLondon
  • St George's CollegeSurrey
  • Thorpe HouseBuckinghamshire
  • St Margaret'sHertfordshire
  • John Lyon SchoolLondon
  • Heckmondwike GrammarWest Yorkshire
  • St Aubyn'sEssex & many more

Real Student Journeys

Failed first 11+ attempt Joined SHLC 3 months before retake Two sessions per week focusing on weak areas Passed and got into Bradford Grammar Now in top set.
Three students received scholarships
All through strong maths foundations, consistent practice, and commitment to homework.
Students who completed the full SHLC programme Reached GCSE Level 3 by Year 6 Finished the entire GCSE course by Year 9-10 Confidently secured Grade 9s.

Read complete success stories →

Read what parents and students say about SHLC →

Every one of those places started with a plan.Tell us your target schools and your child's current level, and we will map out what the next few months need to look like.

Book a Free Call

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Part 9 of 14 · Exam boards

Understanding 11+ Exam Formats

In shortGL for most grammar schools, CEM Select for around 40 independents, own papers or ISEB for many others. Confirm with the school, never assume from your region.

Most Common

GL Assessment

Used by most grammar schools including Birmingham, Buckinghamshire, Kent, Lincolnshire, Medway.

Format: Separate subject papers for English, Maths, Verbal Reasoning, Non-Verbal Reasoning.

Timing: Each paper typically 45-60 minutes.

Advantage: Published practice materials available, making preparation more predictable.

~40 Independent Schools

CEM Format

Still used by approximately 40 independent schools (CEM Select online format).

Format: Mixed subject papers (English + VR together, Maths + NVR together).

Timing: More time-pressured and unpredictable.

Challenge: No published practice papers. Designed to be "tutor-proof".

Independent Schools: Many set their own entrance exams or use ISEB Common Pre-Test. Action: Contact your target schools directly to confirm which format they use. Never assume based on region alone.

Complete guide to exam formats and preparation →

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Part 10 of 14 · Interviews

Interview Preparation

Many independent schools include interviews alongside written exams.

What schools look for

  • Genuine enthusiasm for learning
  • Ability to think and explain reasoning
  • Confidence without arrogance
  • Good communication skills

How to prepare

  • Practice explaining maths solutions out loud
  • Discuss current affairs and books they're reading
  • Mock interview practice with tutor or teacher
  • Visit the school beforehand to feel comfortable

Complete interview preparation guide →

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Part 11 of 14 · Planning

The Complete Preparation Timeline

In shortSame finish line, three different runways. Find your child's starting point and read across.

Top Performers · Starting September Year 5

Sept-Dec Year 5 Topic coverage + speed building
Jan-April Year 5 Weekly practice papers + refinement
May-Aug Year 5 Intensive past papers (2-3 per week)
September Year 6 Ready and confident

Average Performers · Starting Christmas Year 4

Christmas-Summer Year 4 Arithmetic building + basics
Sept-Feb Year 5 Systematic topic coverage
March-June Year 5 Introduce practice papers (weekly)
July Year 5 onwards Intensive past papers
September Year 6 Ready for exams

Struggling Students · Starting Year 3/4

Year 3/4 Times tables mastery + basic arithmetic
Year 4 Schofield & Sims + foundation topics
Year 5 Topic coverage at appropriate pace
Year 5 summer onwards Steady practice papers
September Year 6 Ready and confident

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Part 12 of 14 · Our process

The SHLC Method: Our 6-Step Success Process

In shortSix steps: diagnose, plan, student-led homework, topic drills, mixed exam practice, then paper after paper.

Whether a student comes with 3 months or 9 months to prepare, we use the same proven process:

1 Pinpoint weaknesses Through diagnostic assessment
2 Build personalised plan With clear goals by topic
3 Encourage student-led learning Through targeted homework
4 Topic-based drills first To build solid foundations
5 Real exam practice Worded and mixed-topic questions
6 Paper after paper Until confidence and scores are sky high

This focused approach has helped students from bottom sets achieve scholarships at top schools.

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Part 13 of 14 · Next steps

Start Your Child's 11+ Journey Today

Success comes from the right plan, right mindset, and right support. No secret tips or backdoor tricks.

Three things successful students have in common:

  1. Started early enough for their ability level
  2. Practised consistently without massive gaps
  3. Sought expert feedback identifying exactly what needed work

You now have the complete roadmap. Will you follow it systematically?

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Part 14 of 14 · Questions

11+ Preparation FAQs

When should we start preparing for the 11+?

It depends on where your child is starting. Strong performers can start in September of Year 5 and be ready.

Average performers are better starting around Christmas of Year 4. Children with real gaps should start in Year 3 or Year 4 so there is time to fix the foundations before exam technique work begins.

How many mock exams should my child complete?

Five complete sets is the minimum, 8-10 is the ideal, and 12-15 or more is ambitious.

Children who sit fewer than five often underperform through exam shock alone. What matters more than the number is the review cycle after each mock.

What is the difference between GL Assessment and CEM?

GL is used by most grammar schools, including Birmingham, Buckinghamshire, Kent, Lincolnshire and Medway.

It uses separate subject papers of roughly 45-60 minutes, and published practice material exists, so preparation is predictable.

CEM Select is still used by around 40 independent schools, mixes subjects within a paper, is more time pressured, and has no published practice papers by design.

How much does 11+ tuition cost?

Our 11+ programmes start at £220 a month for one subject, and two subjects together is £480 a month. One-to-one 11+ tuition is £40 per session if you want flexibility on frequency.

Mock exam marking starts at £39.99 if you are preparing independently and only want expert feedback.

Which schools have your students got into?

Bradford Grammar, Merchant Taylors', Queen Elizabeth's School, The Latymer School, St George's College, Heckmondwike Grammar and St Aubyn's among others.

Three students have received independent school scholarships.

How much practice should my child do each day?

Twenty focused minutes a day, five or six days a week, beats long irregular sessions.

Rotate subjects across the week and use the weekend for one full timed paper. Older or more able children can move to three 20 minute blocks with short breaks.

Is it too late if the exam is only a few months away?

Not necessarily. One of our students failed their first attempt, joined three months before the retake, worked twice a week on their weak areas, passed, and is now in the top set at Bradford Grammar.

A short runway means the plan has to be precise, which is exactly what a diagnostic assessment is for.

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Ready to Get Started?

Book a free consultation to discuss your child's specific situation, target schools, and the best path to grammar or independent school success. I respond within 12 hours.

Book a Free Consultation

Not ready to book yet? Take the free 11+ Readiness Quiz first.

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