7+ Maths: What the Paper Tests for 2027 Entry

7+ Maths is the mathematics paper inside the 7+ entrance assessment used by some UK independent schools to select children in Year 2 for entry into Year 3. No exam board sets it — ISEB runs Common Entrance at 11+ and 13+ but publishes nothing at age seven — so each school writes its own: Highgate admits around 50 new Year 3 pupils each September, and City Junior School sits its papers, including maths, on 27 November 2026.

Who Actually Sets the 7+ Maths Paper?

Unlike GCSE or A-level, where an exam board such as AQA or Edexcel sets a single national paper, 7+ Maths has no equivalent. The Independent Schools Examinations Board (ISEB) is the body that comes closest to a common standard at this end of independent-school admissions — it sets Common Entrance at 11+ and 13+, and the Common Pre-Tests used ahead of 11+. Checking ISEB's own website directly, its Assessments & Qualifications section lists only Common Entrance and the Common Pre-Tests. The string "7+" does not appear anywhere on iseb.co.uk. There is no ISEB 7+ product, and there never has been one.

That leaves each school to write, set and mark its own 7+ maths paper. Highgate School publishes its own specimen 7+ maths paper. Chigwell School does the same, with its own 7+ maths specimen paper, kept separate from its 7+ English paper. City Junior School and King's College Junior School both set and mark their own papers in-house as well. None of these four schools' papers is interchangeable with another's: a family preparing for one school's 7+ maths paper is not automatically ready for a different school's, because there is no shared syllabus behind any of them.

What Does the 7+ Maths Paper Actually Test?

At City Junior School, the admissions page is explicit about scope: "The mathematics paper will cover topics taught in Year 1 and Year 2 and will include a mixture of calculations and problem-solving questions." That is a deliberately narrow brief — nothing beyond what a child has already met in the classroom, tested through problems rather than abstract recall.

Highgate's own specimen 7+ maths paper shows what that looks like in practice. Its questions include partitioning a two-digit number into different pairs of parts, a multi-step word problem that combines addition and subtraction in a real-world scenario, a multiplication problem framed as items packed into equal boxes, identifying which of several shaded shapes shows one quarter, a money problem using UK coins, and a visual number-pattern question asking a child to extend a sequence. None of it requires content beyond Year 2; all of it requires a child to read a short scenario and work out what operation it calls for, rather than simply recognising a sum.

King's College Junior School's own specimen papers page confirms the same emphasis in its section-by-section breakdown: its Number Work section "will assess each candidate's understanding of numbers," covering addition and subtraction skills "in a variety of contexts" together with place value, while a separate Mathematical Reasoning section asks children to "explain their mathematical understanding" in words and sentences rather than figures alone — and specifically states that spelling errors are not marked down in that section.

Chigwell School publishes a 7+ maths specimen paper as a document distinct from its 7+ English paper, which is itself evidence that these schools test maths and English as two separate, dedicated papers rather than one combined assessment.

How Long Does the 7+ Maths Paper Take?

Because there is no common board, there is no common length either. At City Junior School, each of the three 7+ papers sat at first-round assessment — mathematics, reading comprehension and creative writing — "will be between 25 and 40 minutes long, with a break between each one," and the school notes that most children finish comfortably inside the time given.

King's College Junior School times its maths paper more tightly and splits it into two named sections: 10 minutes on Number Work, followed by 15 minutes on Mathematical Reasoning — 25 minutes in total, with a short break between the two. The school states plainly that a child does not need to complete every question: staff "will look at what each candidate has completed to gauge understanding," rather than expecting a finished paper.

The practical point for a family preparing across more than one school is that 25 minutes of tightly sectioned working at King's College Junior School and up to 40 minutes of less rigidly divided time at City Junior School are different experiences for a six-year-old, even though both papers sit inside the same Year 1/Year 2 content.

How Does 7+ Maths Differ From 8+ Maths?

Some schools that offer 7+ entry also run a later 8+ round, and King's College Junior School publishes exactly how the two relate for maths. In the school's own words: "The format of the maths assessment is the same for both 7+ and 8+ entry points. The tests are based on the Year 2 National Curriculum Syllabus for 7+ entry, and on the Year 3 National Curriculum syllabus for 8+ entry."

The structure does not change — both age groups sit the same 10-minute Number Work section and the same 15-minute Mathematical Reasoning section — but the content moves up exactly one National Curriculum year. King's College Junior School is specific about where that shows up: candidates "will use addition and subtraction skills in a variety of contexts at 7+ with some multiplication and division introduced at 8+." In other words, the jump from 7+ to 8+ maths at this school is not a jump in exam format at all; it is a one-year advance in curriculum content, concentrated on multiplication and division moving from absent to present.

This is one school's own published account of its own two entry points, not a general rule for every 7+/8+ pair — City Junior School, Highgate and Chigwell do not publish a comparable 7+/8+ breakdown, and given how differently City Junior School and King's College Junior School already time their 7+ maths papers, there is no reason to assume every school draws the 7+/8+ line in the same place.

When Is the 7+ Maths Paper Sat, and When Must You Register?

For entry in September 2027, City Junior School and King's College Junior School run on different calendars, and both are worth knowing if a family is considering more than one school.

City Junior School opens registration for September 2027 entry on its website on Thursday 3 September 2026, and closes it at noon on Friday 6 November 2026. First-round assessments, including the maths paper, are held on Friday 27 November 2026. Offers are sent by email on Friday 22 January 2027, and the acceptance deadline is noon on Wednesday 3 February 2027. Successful families are then invited to tour City of London School or City of London School for Girls — the senior schools City Junior School feeds — during the week beginning Monday 25 January.

King's College Junior School's window for the same September 2027 entry point closes earlier: the registration deadline is noon on Friday 18 September 2026, and the written assessment for 7+ candidates — the maths paper included — falls on Saturday 10 October 2026. Parents are told the outcome by mid-November 2026, and the acceptance deadline for offer holders is the end of January 2027.

Source: City Junior School admissions process and King's College Junior School 7+, 8+ and 9+ entry, both retrieved September 2026.

Both schools also run a second stage. City Junior School invites shortlisted children back for group tasks and individual conversations from Thursday 7 to Wednesday 13 January 2027, alongside a request for a school reference. King's College Junior School's shortlisted candidates attend an activity session on Monday 2 November 2026 and are interviewed between Tuesday 3 and Tuesday 10 November 2026.

Both schools also flag arrangements that will not appear on many other 7+ pages: City Junior School requires every candidate, including those applying from overseas, to sit the assessment in person, and King's College Junior School will begin admitting girls at 7+ for the first time from September 2029, as part of a wider move to full co-education.

Does a Six-Year-Old Need to Be Coached for the 7+ Maths Paper?

Not every school wants what parents might assume they want. City Junior School states its position without hedging: "We are looking for children with potential and natural ability rather than those who are overly tutored and have been heavily prepped for the assessments." The same admissions page tells parents that pupils "do not need to do any preparation for the assessments," beyond being told gently what to expect on the day.

That is a named school telling families directly that heavy coaching is not what it is looking for, and it deserves to be read plainly rather than argued with. It is also consistent with how Leading Tuition describes its own approach to 7+ preparation on our 7+ tuition page, which is explicit that early preparation "does not mean intensive drilling from age five" and instead describes building reading fluency and number sense through games and daily conversation from Year 1, moving to structured weekly sessions only once a child reaches Year 2. A family that reads City Junior School's own words and decides against any formal preparation at all has been given an honest answer by the school itself.

How Does Leading Tuition Help With the Maths Component of 7+ Preparation?

Leading Tuition does not sell a maths-only 7+ product. Our 7+ tuition is a single, combined programme that covers mathematics, English and verbal/non-verbal reasoning together, because that is how schools such as Highgate and City Junior School actually assess Year 2 candidates — as three related papers on one day, not three separate purchases. Everything in this section is about the maths component of that combined programme, not a standalone service.

In practice, that means sessions of 30–45 minutes for a Year 1 child, lengthening to around 60 minutes as the assessment approaches, working on exactly the kind of number confidence and problem-solving described above rather than exam drilling. Structured weekly tuition typically begins in the autumn term of Year 2, once a child has had a full year of the informal groundwork described in our wider primary tuition approach. A tutor working on the maths component will typically also flag where a family's target schools differ — for example, whether a school times its paper the way City Junior School does or splits it into sections the way King's College Junior School does — so that practice matches the actual paper a child will sit, not a generic one. Families who do not secure a 7+ place, or who are not considering it at all, often meet the same number-confidence work again a few years later in our 11+ tuition programme.

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