UK / PP / 01
Early maths foundations
Concrete, playful maths for the very youngest.
Open the syllabusEngland · 7 plus entrance · Years 1 and 2, ages 6 and 7
The 7 plus is the entrance test some independent schools set for children joining in Year 3, sat while the child is in Year 2, aged six or seven. No exam board writes it: each school sets its own, sometimes with a test provider. The maths inside is the key stage 1 national curriculum. Modern Age Coders teaches that maths live online, in a small-age class or one to one, through our primary maths course, with a lot of talking and very few worksheets.
From the DfE national curriculum and test-provider pages, read 31 October 2026 · Not connected with any school
What is in a 7 plus maths test?
A 7 plus is an entrance assessment set by an individual school for children in Year 2 hoping to join Year 3, so there is no single paper and no exam board. Its maths can only draw on what children of six and seven have been taught: the key stage 1 national curriculum. Its end point, in the Department for Education's words, is that a Year 2 child knows number bonds to 20 and is precise with place value; the Year 2 list adds times tables for 2, 5 and 10, thirds and quarters, and clock times to the nearest five minutes. Test providers such as Quest Admissions build bespoke tests for schools from age 7+. Modern Age Coders teaches this maths live online, gently, with original practice.
Where to begin
At six, confidence matters as much as content. Choose by what your child enjoys and needs. Each card opens a full syllabus.

7P / 01
Our main primary course, started at Year 1: counting, place value, addition and subtraction, early multiplication, shape and time.
Open the syllabus →
7P / 02
Pattern, spatial and number puzzles for ages 6 to 9, taught as play, never as test drilling.
Open the syllabus →
7P / 03
Concrete, hands-on maths for ages 4 to 7, for a child who needs number sense rebuilt before anything else.
Open the syllabus →Who sets it
Each school that admits pupils into Year 3 sets its own assessment. There is no national 7 plus, no common paper and no board that publishes a syllabus for it.
The 11 plus and 13 plus have shared providers and published specifications. The 7 plus mostly does not. Some schools write their own short maths and English tasks and observe children in a group activity; others buy a bespoke test. One provider, Quest Admissions, says its entrance tests are made "For ages 7+ to 16+", are "Bespoke and branded to your school", come on "Paper and online", and cover "Main entry and in-year" admissions. Its guidance to families adds that "Your child's assessment is unique to the school they're applying to". The Independent Schools Examinations Board, which sets Common Entrance, does not offer a 7 plus: its Common Pre-Tests "are taken by pupils in Year 6 or 7".
| Entry point | Age at test | Typical setter | Published maths content |
|---|---|---|---|
| 7 plus, into Year 3 | 6 or 7, in Year 2 | The school itself, or a bespoke provider | None common; key stage 1 is the ceiling |
| 11 plus, into Year 7 | 10 or 11 | Councils, consortia, schools; GL, Quest, FSCE, ISEB and others | Published by each area or provider |
| 13 plus, into Year 9 | 12 or 13 | ISEB Common Entrance and scholarship papers, or the school | ISEB's published specification |
Whether the assessment is on paper, on a screen, or spoken with a teacher; how long it lasts; whether children are seen in a group; and whether there is a second stage.
Many schools describe their 7 plus on their admissions page. If not, the registrar will usually explain the shape of the morning, which is all a family really needs.
Packs sold as "7 plus past papers" cannot be any school's real test unless that school released them. At best they are someone's guess at key stage 1 questions.
Six-year-olds learn more from talking about one problem than from finishing twenty. Paper drills at this age often teach a child that maths is a race.
Sources: Quest Admissions and Quest parent guidance; ISEB; read 31 October 2026. Modern Age Coders is not connected with any school or test provider.
The maths
The key stage 1 national curriculum: Year 1 in full and as much of Year 2 as the child's school has reached. The table pairs the statutory statements with what that looks like in a six-year-old.
| Strand | Year 1, in brief | Year 2, in brief | What we listen for |
|---|---|---|---|
| Counting and place value | Counting past 100 and back again, from any starting number | Steps of 2, 3 and 5 from zero; tens from anywhere | Counts back from 63 without losing the thread; knows 47 is 4 tens and 7 ones |
| Addition and subtraction | Bonds within 20 and the subtraction facts that go with them | Those facts recalled quickly, and used to reach facts to 100 | Knows 8 and 7 make 15 without counting on fingers |
| Missing numbers | Year 1 examples include a gap on the left of the equals sign | Addition and subtraction used as inverses to check and to fill gaps | Explains why the gap in 7 = ? take away 9 is 16, not only finds it |
| Multiplication | One-step sharing and grouping with objects, pictures and arrays | Facts for the twos, fives and tens, plus odd and even | Sees 3 rows of 5 as 15, and as 5 rows of 3 |
| Fractions | Halves and quarters of shapes, objects and amounts | Thirds, quarters, two quarters and three quarters | Knows two quarters is the same as a half |
| Time | O'clock and half past | Reading and writing the time to the nearest five minutes | Reads ten past four on an analogue clock |
| Shape | Naming everyday flat and solid shapes | Counting edges, corners (vertices) and faces of solids | Counts the faces of a cube by turning it, not guessing |
The DfE sums up the end point in one sentence: "By the end of year 2, pupils should know the number bonds to 20 and be precise in using and understanding place value." Those two things, number bonds and place value, are where we start with every 7 plus child, because almost everything else on the list rests on them. The curriculum also sets a line on calculators: they "should not be used as a substitute for good written and mental arithmetic" and should "only be introduced near the end of key stage 2". Nothing at 7 plus should need one.
Source: Department for Education, National curriculum in England: mathematics programmes of study, key stages 1 and 2, read 31 October 2026. Fractions are written in words on this page; the curriculum prints them as numerals.
The timing problem
Not necessarily, and that is allowed. The national curriculum only requires schools to finish each key stage's content by the end of the key stage, so a Year 2 child may meet a 7 plus before some Year 2 topics have been taught.
The curriculum is explicit: "Schools are, however, only required to teach the relevant programme of study by the end of the key stage. Within each key stage, schools therefore have the flexibility to introduce content earlier or later than set out in the programme of study." Key stage 1 ends with Year 2. By our own reasoning, a child who sits a 7 plus partway through Year 2 may simply not yet have been shown, say, thirds, or time to five minutes, depending on how their school orders the year. Children at independent pre-preps may also be on a different scheme altogether: GOV.UK notes that academies and private schools "do not have to follow the national curriculum".
Find out what your child's class has covered so far this year; a quick word with the class teacher is usually enough. Gaps from "not yet taught" are very different from gaps from "taught but not understood".
Prioritise Year 1 in full and the core Year 2 facts (bonds to 20, the 2, 5 and 10 tables, two-digit place value) before anything else.
In our view the most useful thing a six-year-old can show is how they think: explaining a choice, trying another way, staying calm when stuck. A child who says "I think it is 12 because" is showing more than one who silently writes 12.
That is why we teach out loud, with objects and pictures first, and only then on paper or a screen.
Worked examples, written by us
Three original problems at Year 1 and Year 2 level, with the talk we hope to hear. None is from any school's 7 plus. For a child this age, saying the steps out loud is the method.
Fill the gap: 13 + 5 = 9 + ?. A child who reads left to right writes 18, the answer to 13 + 5. The talk we want: "The left side makes 18. The right side has to make 18 too. 9 and what make 18? 9 and 9." Answer 9. The equals sign means "the same as", not "the answer comes next", and the Year 1 curriculum's own missing-number examples build exactly this.
Chairs are set out in 3 rows of 5. How many chairs? Draw it: three rows, five dots each. Count in fives: 5, 10, 15. Then turn the picture: five columns of three, 3, 6, 9, 12, 15. Same answer. That second look is the Year 2 idea that multiplication "can be done in any order", seen rather than told.
Twelve strawberries are shared fairly between 4 children. How many does each child get, and what fraction of the strawberries is that? Deal them out one at a time: each child gets 3. Each child has one of four equal shares, so one quarter. Dealing one by one is slower than knowing 12 divided by 4, and that is fine at six: it shows what division means.
| Question (ours) | Answer | What to listen for |
|---|---|---|
| What number is one less than 70? | 69 | Crossing the tens boundary backwards. Watch for 60 or 79. |
| Which is more: 4 tens and 3 ones, or 3 tens and 9 ones? | 4 tens and 3 ones | The tens decide first: 43 against 39. |
| What comes next: 3, 6, 9, 12, ...? | 15 | Counting in threes, which Year 2 children practise from 0. |
| A cube has how many faces? | 6 | Turning a real or drawn cube and counting, not guessing. |
| What time is it when the long hand points to 2 and the short hand is just past 4? | Ten past four | Counting in fives round the clock: the 2 means ten minutes. |
| Is 17 odd or even? How do you know? | Odd | Pairing up 17 objects leaves one over, or noticing the last digit, 7. |
In lessons these are spoken, drawn and handled long before they are written. A six-year-old who can explain why 69 comes before 70 has understood more than one who can fill in a sheet of them, and that understanding is what carries into Year 3, whichever school a child ends up in.
At home
Little and often, through talk and everyday objects. Ten good minutes a day beat an hour of worksheets on a Saturday, and a calm child shows far more on the day.
Some children enjoy a teacher who is not a parent, with other children of the same age. A short online lesson, built on talk, can make maths feel like a game rather than a test.
We keep lessons short for this age and spend them on reasoning: why, how do you know, is there another way.
We do not run 7 plus "mock exams" for six-year-olds, and we do not claim to know any school's test.
If a child is anxious, we say so and slow down. No school place is worth a child deciding at six that they are "bad at maths".
Timeline
Our stages follow the key stage 1 curriculum, not any school's calendar. Ask your target school when its 7 plus falls and count back.
| When | Stage | Secure when |
|---|---|---|
| End of Reception | 1. Counting and quantity | Counts objects to 20 accurately and knows that the last number said is how many |
| Year 1 | 2. Year 1 in full | Bonds within 20, counting to 100 and back, halves and quarters, o'clock and half past |
| Early Year 2 | 3. Core Year 2 | The 2, 5 and 10 tables, two-digit place value, adding and subtracting tens |
| Weeks before | 4. Talking it through | Explains an answer out loud and tries a second way when stuck |
Spend the time on stage 2. Year 1 maths, really secure, is worth more than a rushed tour of Year 2.
We will tell you honestly after one lesson where your child is.
The same number sense carries into Year 3. Many children continue with our primary maths course.
Children who enjoy puzzles often move on to mental maths at seven or eight.
All related courses
Gentle routes into maths at the youngest ages. Each card opens a syllabus.
UK / PP / 01
Concrete, playful maths for the very youngest.
Open the syllabusUK / PP / 02
Key stage 1 and 2 maths in order, live.
Open the syllabusUK / PP / 03
Patterns, shapes and number puzzles.
Open the syllabusUK / PP / 04
Number sense from age 5, not tricks.
Open the syllabusUK / PP / 05
Beads first, then calculation in the head.
Open the syllabusUK / PP / 06
For later, when Year 5 comes round.
Open the syllabusHow lessons run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Teachers join from India, where the clocks stay put all year, so the gap to UK time is four and a half hours in summer and five and a half in winter; we only ever give you UK times.
After school
A short slot before tea.
Weekend morning
When young children are freshest.
Holidays
Light, playful sessions.
Children explain aloud before they write anything.
Counters, drawings and arrays on screen.
Lessons sized for a six-year-old's attention.
Nothing copied from any school.
Group lessons of 15 to 20, or a teacher alone with your child.
No mock exams and no promises about places.
Student work
Projects from students who started young and kept going. More on student labs.

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

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

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

Web app
A weather forecasting site with live conditions for any location.
Fees
A monthly fee, shown in the currency we use with UK families. The first lesson is free, and you pay nothing to sign up.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
What families say
Words from parents on our Google profile, as they left them.
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7 plus questions
It is an entrance assessment some independent schools set for children in Year 2 who want to join Year 3. Each school sets its own, so there is no single 7 plus paper.
Each school decides. Some write their own tasks; some use a provider such as Quest Admissions, which builds bespoke tests for schools from age 7+. ISEB does not set a 7 plus.
Key stage 1 national curriculum maths: counting and place value to 100, number bonds to 20, the 2, 5 and 10 times tables, simple fractions, time and shape. The DfE says pupils should know the number bonds to 20 by the end of Year 2.
Maybe not. The national curriculum only requires schools to teach each key stage's content by the end of that key stage, and a 7 plus is sat during Year 2, so some Year 2 topics may still be ahead.
Not in any common sense, because each school writes its own test. Commercial packs are guesses at key stage 1 questions, not real papers. Ask the school what the assessment involves instead.
A little and often, through talk and everyday objects. We suggest ten calm minutes a day over long weekend sessions, and stopping while it is still enjoyable.
Our lessons for this age are short, spoken and visual, with a teacher who keeps every child talking. Our courses start from age 6, and the first lesson is free so you can see if it suits.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. All times are given in UK time.
No. Each school decides its own admissions, often on more than maths. We teach key stage 1 maths well and help a child explain their thinking.
Related pages
Next steps and other entry points.
What comes after Year 2, from Year 3 to Year 6.
The national times-tables check two years later.
The next entrance point, at age 10 or 11.
Independent school entry at 11 and 13.
Our method, from the youngest learners up.
Every UK page on our site.
Part of the guide: UK selective school maths tests: 7+, 11+, 13+ and 16+
More guides: UK maths exam boards and specification codes · UK maths year by year, Reception to Year 11 · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils
Start here
Tell us your child's age and school year, and the schools you are considering. We will teach a short, friendly lesson and tell you kindly and plainly what we saw.
Would you like to read first? The primary maths course shows the full syllabus, and how we teach describes our approach with young children.
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