11 Plus Maths Tuition Barnet | QE, HBS and St Michael's Tests

In short

Barnet's three selective state schools set their own tests. Queen Elizabeth's School holds one sitting of two multiple-choice papers, maths and English; for September 2027 entry it ran on 16 and 17 September 2026, and QE publishes a combined score of 225 or higher as the standard its Governors require. The Henrietta Barnett School tests verbal reasoning, non-verbal reasoning and English in Round One, then invites its top 300 to a Round Two of a 60-minute English paper and a 50-minute maths paper, on 6 October 2026 for this cycle. St Michael's Catholic Grammar School holds entrance tests by invitation, with multiple-choice papers including maths and a written English paper, on 11 September 2026 this cycle. None of the three publishes past papers. We teach the maths, live online, deep enough for any of them. Try a lesson without paying; staying on costs USD 100 monthly in a group or USD 150 monthly for one to one.

Starting points in Barnet

Three courses, whichever school

Depth matters more than format here: none of the three schools shows its papers.

BARNET / i

Primary maths for three tests

Year 5 content taught deeply enough for a QE sitting, a St Michael's paper or a Round Two at HBS.

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Maths Olympiad & Competition Course course thumbnail

BARNET / ii

Problems without a recipe

For confident children aiming at a school-set paper with no published resources.

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BARNET / iii

Number facts at speed

Tables, squares and primes known by heart, so harder questions get the time.

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Three schools, three tests

What each Barnet grammar school publishes

The London Borough of Barnet's admissions pages would not load for our reader, so this page relies on the three schools' own admissions pages, read on 26 September 2026.

Barnet's three grammar school tests for September 2027 entry, as each school publishes them
School	Where the maths is	Dates this cycle
Queen Elizabeth's School	Two multiple-choice papers, maths and English, "sat in a single session"	Requests 1 May to noon, 8 July 2026; test 16 and 17 September 2026; results provisionally 1 October
The Henrietta Barnett School	Round One has no maths; Round Two has "a 50 minute Maths paper"	Round One 2 to 4 September 2026; Round Two Tuesday 6 October 2026 for the top 300
St Michael's Catholic Grammar School	Multiple-choice entrance tests including maths; English is a written paper	Applications 14 April to 4pm, 7 July 2026; tests Friday 11 September 2026, by invitation

QE describes its test briefly and clearly: "We only have one round of testing in a single session." Its two papers are multiple choice, the scores are standardised for age by the company that supplies the tests and then combined, and "a combined score of 225 or higher" meets the standard its Governors require for a boy to be considered. QE links GL Assessment's maths familiarisation materials from its sample papers page.

Henrietta Barnett's first round is "in Verbal, Non-Verbal reasoning and English", with GL familiarisation booklets available. Its second round, for the 300 highest-ranked candidates, adds "a 50 minute Maths paper". The school says it gives no further detail of content and releases no past papers or resources for Round Two.

St Michael's holds its entrance tests by invitation. Its familiarisation page offers papers designed by the test provider for verbal reasoning, non-verbal reasoning and maths, and notes that these "are not reproductions of past papers". The English test "is a written paper, not multiple choice", and the school says it cannot give further information on style or timings.

How each school uses its results for places, including priority rules, is published in each admissions policy and is not something we advise on. We teach the maths.

Sources: Queen Elizabeth's School, entrance test FAQs, admissions and sample papers pages; The Henrietta Barnett School, admissions; St Michael's Catholic Grammar School, admissions 2027-28 and familiarisation page. Barnet council's admissions pages were not readable to us. Modern Age Coders has no connection with any of these schools or the council.

When the maths counts

Same subject, three different moments

For a family applying to more than one of these schools, the calendar of maths matters as much as the content.

QE: all at once

Maths and English in one sitting in mid-September. There is no second chance at a later round, so the maths has to be ready by then, alongside the English.

HBS: later, and alone

Round One in early September has no maths. The 50-minute maths paper comes in October, only for those invited, and the school publishes nothing about its content.

St Michael's: among others

Maths is one of several multiple-choice papers on a single day in September, taken with verbal and non-verbal reasoning and a written English paper.

Henrietta Barnett's pattern is the unusual one. A child can be strong in maths and never reach the maths paper, because Round One ranks on verbal, non-verbal and English. And a child who does reach Round Two has about a month between the rounds, during which maths is suddenly the whole story.

That month is not the time to begin maths preparation. It is the time to keep it warm. We plan for a child applying to HBS to finish the Year 5 content well before September, then to hold it with short, regular practice through the first round.

For QE, maths shares one sitting with English. Its FAQ explains that the two scores are combined, so strength in one paper can support the other. We do not speculate about balance; we make sure the maths is not the weaker paper.

St Michael's publishes provider-designed maths familiarisation booklets and a parents' guide. Families should use those to see the format. We do not copy them, and the school asks that others do not reproduce them.

What deep looks like

Factors and primes, all the way down

With no past papers from any of the three schools, depth in the curriculum is the only safe preparation. Factors and primes show what depth means in Year 5.

One Year 5 topic, from recall to reasoning (our own questions)
Level	Question	What it takes
Recall	List the prime numbers up to 19.	2, 3, 5, 7, 11, 13, 17, 19: known, not worked out
Method	Find all the factor pairs of 36.	1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6: nine factors in all
Connection	Why does 36 have an odd number of factors when 24 has an even number?	36 is a square number: 6 pairs with itself
Test	Is 91 prime?	No: 91 = 7 × 13, the classic trap
Reasoning	Which numbers must you try to show that 97 is prime?	Only 2, 3, 5 and 7, because 11 × 11 = 121 is already past 100

The national curriculum for Year 5 asks children to "identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers", to use the words prime, prime factor and composite, and to "establish whether a number up to 100 is prime and recall prime numbers up to 19". Those are the first two rows.

The last three rows are the same topic, pushed. They are still Year 5; nothing in them needs algebra or Year 6. But a child who can answer them has understood factors, not just memorised a list, and that difference shows the moment a question is written in a way they have not met.

The last row is the one we enjoy most. To decide whether a number up to 100 is prime, you only need to try dividing by 2, 3, 5 and 7. Any factor larger than 10 would have to pair with one smaller than 10, and those smaller ones have already been tried. It is a proof a Year 5 child can follow, and it turns a slow search into four quick checks.

Common factors follow the same way. The common factors of 24 and 36 are 1, 2, 3, 4, 6 and 12, and a child who lists factor pairs neatly finds them without guessing. Squares, primes, factor pairs: one idea seen from several sides.

Curriculum wording from the Department for Education's mathematics programmes of study, the Year 5 statements on factors, multiples and primes. Every question in the table is ours; none comes from a school's test.

Our approach

Teaching for papers nobody has seen

QE shares sample materials, St Michael's shares familiarisation booklets, Henrietta Barnett shares nothing for Round Two. Our answer is the same for all three.

We teach every Year 5 topic at three depths, as in the factors table: recall, method, then reasoning. Recall makes the easy questions quick. Method makes the standard questions reliable. Reasoning handles the question nobody expected, which is the question a school-set paper is most likely to include.

We mix formats deliberately. Multiple choice prepares for QE and St Michael's; written answers prepare for a paper like Round Two, whose format is not published. A child who can do both is ready for either.

We never claim knowledge of any of the three schools' papers. Our questions are our own, written to the curriculum and to the formats the schools describe. We do not reproduce QE's sample papers or St Michael's provider booklets.

We also do not teach verbal reasoning, non-verbal reasoning or English. For Henrietta Barnett in particular, that means we help with the second round, not the first, and families should plan for that.

None of the three schools' calendars leaves room to learn maths in the autumn of Year 6. The work belongs in Year 5, steadily, with the summer used to practise timed papers in both formats.

Barnet and around it

Three schools across the borough, one lesson at home

QE is in Barnet, Henrietta Barnett in Hampstead Garden Suburb and St Michael's in North Finchley. Our lessons need no journey to any of them.

A family considering more than one of these schools is preparing for more than one test, with more than one date. The maths underneath is the same primary content, and the same teaching serves all three.

For coding and computing in the borough, see our Barnet coding page.

Classes are put together by ability. A pupil aiming at QE, Henrietta Barnett or St Michael's may share a screen with children from Leicester or Bristol working at the same level, never more than ten of them.

We have no connection with any of the three schools or with the London Borough of Barnet, and we offer no advice on applications, faith criteria or places.

The year ahead

Four stages, finished before September

For a child in Year 5 now, the next tests should fall in September and October of Year 6, on dates each school will publish.

From recall to reasoning, in time for any of the three tests
When	Stage	Signs of readiness
Year 4	1. Recall	Tables, squares to 12 × 12 and primes to 19 known instantly
Autumn and spring, Year 5	2. Method	All Year 5 topics done accurately with written methods
Summer term, Year 5	3. Reasoning	Explains why, not just how, as in the prime test by 2, 3, 5 and 7
Summer holiday	4. Both formats	Timed multiple-choice papers and written papers, alternating

Short on time

A late start still helps if the order holds. Recall and method first; reasoning grows out of them.

At the free lesson we will say candidly what a few months can achieve.

After the results

Factors and primes lead straight into secondary number theory. Some children continue with maths through coding and write their own prime finders.

Puzzle-lovers find the national maths challenges, month by month, on our competitions calendar.

Course list

Maths and coding for Barnet families

By stage, each with its full syllabus a click away.

I

For the three tests

Years 3 to 5

BTM / a

11 plus maths preparation

The Year 5 curriculum, at three depths.

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BTM / b

Mental maths for kids

Primes, squares and tables at speed.

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BTM / c

Primary maths, Years 1 to 5

Tables and place value, made solid before any test practice.

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BTM / d

Abacus and mental maths

Number sense built by hand, then in the head.

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II

Secondary

From Year 6

BTM / e

Middle school maths mastery

Prime factorisation, algebra and more.

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BTM / f

GCSE maths, foundation and higher

All three exam boards, taught to the specification.

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BTM / g

Olympiad and competition maths

Number theory and problems that stretch.

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III

Code and number

Programs that count

BTM / h

Maths through coding

Write a prime checker; test a conjecture.

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BTM / i

Scratch coding for kids

A visual first language with real logic.

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BTM / j

Python and AI for kids

Typed programming for capable primary pupils.

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IV

Onwards

Teenage options

BTM / k

Vedic maths and speed calculation

Shortcuts for pupils who already understand the standard methods.

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BTM / l

AI and machine learning for teens

Where factor-style thinking meets data and code.

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Hours

Early evenings and weekend mornings, UK time

Our teachers are in India. We keep primary lessons within sensible UK hours, after school or on a weekend morning, and handle the twice-yearly clock change on our side.

After school, weekdays

An hour before the evening winds down.

Saturday or Sunday morning

For children who tire after school.

Holidays

Brief extra sessions in the breaks.

One familiar teacher

Every week, so progress and slips are both noticed.

Frank notes home

Short and honest, including what has not clicked yet.

Five to ten in a class

Grouped by level, so the teaching fits.

Questions we wrote

Nothing from any Barnet school's materials is reproduced.

Individual lessons

One to one for a specific gap or a child who prefers it.

Maths, and only maths

No reasoning or English coaching, no admissions advice.

Student work

Where our students take their maths

Four projects published by students at our school, each resting on primary number work like this. More on the student labs page.

AI and ML

NutriLife

An AI nutrition coach that reads what you eat and works you toward a target.

by Bhavya · Open it

AI and ML

Misti

A chatbot that answers mathematics and programming questions, built and deployed by a student.

by Harshit · Open it

AI and ML

GuardianX

An assistant that helps a young person recognise unsafe situations online.

by Vivaan · Open it

Web app

SkyCast

A weather forecasting site with live conditions for any location.

by Krish

Fees

A monthly fee in US dollars, identical for all families outside India. Stop at any time; there is no contract.

Free first class

USD 0

no card required

A real lesson with a teacher
An honest read on the maths
No card needed

Book it

Group batch

USD 100

a month, billed in US dollars

Five to ten children at one level
A teacher who knows your child
Work checked and explained
A certificate at the end

Start here

One to one

USD 150

a month, billed in US dollars

A teacher for one child
Aimed at the gaps
Handy in the weeks before Round Two

Enquire

What families say

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Unedited words from families who reviewed us on Google.

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Student

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Parent of Dhairya

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Barnet questions

What Barnet families ask us

Is there one 11 plus test for Barnet?

No. Queen Elizabeth's School, The Henrietta Barnett School and St Michael's Catholic Grammar School each run their own entrance test, with their own dates and formats.

What maths is in the QE entrance test?

QE says its test is two multiple-choice papers, English and Mathematics, sat in a single session, with one round only. Scores are age-standardised and combined, and QE publishes a combined score of 225 or higher as the standard its Governors require.

Is there maths in the Henrietta Barnett first round?

No. The school says Round One covers verbal reasoning, non-verbal reasoning and English. The top 300 are invited to Round Two, which includes a 50-minute maths paper.

What is in the Henrietta Barnett Round Two maths paper?

The school says it gives no further detail about the content and releases no past papers or resources for Round Two. We prepare children with the full primary curriculum in depth.

What maths does St Michael's test?

St Michael's holds multiple-choice entrance tests by invitation, including maths, and publishes provider-designed maths familiarisation booklets. Its English test is a written paper.

When are the Barnet tests for September 2028 entry?

None had been published when we checked on 26 September 2026. For 2027 entry, St Michael's tested on 11 September, QE on 16 and 17 September, and Henrietta Barnett held Round One on 2 to 4 September and Round Two on 6 October 2026.

Are there past papers?

None of the three schools publishes past papers. QE links sample materials, and St Michael's publishes familiarisation booklets. We write our own questions.

Can you help with Henrietta Barnett Round One?

No. Round One is verbal reasoning, non-verbal reasoning and English, none of which we teach for the test. We teach the maths for Round Two.

Do you advise on which school to apply to?

No. Applications, priority criteria and places are for the schools and your local authority. We teach maths.

What do lessons cost?

Nothing for the first lesson. From then on, a seat in a small group is USD 100 per month and private tuition USD 150 per month; you can stop whenever you choose.

Coding in Barnet, the national 11 plus page, and other selective areas nearby.

Coding classes in Barnet

Programming lessons for Barnet children and teens.