Eleven plus test 2026: UK 4+–GCSE Maths Syllabus Map
Preparing for the Eleven plus test is much easier when you understand how maths skills develop from 4+, 7+, 11+ and 13+ through to GCSE. Although the core topics remain similar—such as number, fractions, geometry and measures—the level of reasoning, problem solving and exam technique increases significantly at each stage. Selective school admissions don’t simply test what children know; they assess how confidently they can apply that knowledge under time pressure using clear mathematical reasoning.
This guide maps the UK maths syllabus by stage, highlighting the topics children are expected to master, the most common exam traps and how the demands change as they progress through school. You’ll also discover how Think Academy teaches challenging concepts using the Concrete–Pictorial–Abstract (CPA) approach, helping pupils develop genuine mathematical understanding rather than relying on memorisation. Whether your child is preparing for a 4+ assessment, 7+, the Eleven plus test, 13+ entrance exams or GCSE Maths, this roadmap will help you understand what to expect and how to support their success. We have a full 11 plus preparation guide
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UK Maths Expectations by Stage (4+, 7+, 11+, 13+, GCSE)
Parents are often surprised that schools test the same “headlines” (number, measures, geometry, data) but change the difficulty by adding time pressure, unfamiliar wording, and multi-step reasoning. In selective admissions, the maths content may be age-appropriate, but the thinking demand is higher: pupils must choose the right method quickly and justify it accurately.
If you want a tailored plan, book a short diagnostic with Think Academy so we can pinpoint which strands (number, measures, reasoning) are costing the most marks and organise a weekly programme around them.
4+ (Reception entry) maths: what’s actually assessed
Most 4+ assessments are school-set and observation-led, not a written exam. You’re usually seeing early number sense and language: recognising numerals, counting reliably, comparing quantities (“more/less”), simple shapes, and following instructions.
Red flag to watch: children who can recite counting but cannot match number to quantity (e.g., points on a dice). That gap shows up later as shaky place value and poor estimation.
7+ (Year 3 entry) maths: the step up in written reasoning
7+ typically introduces short written questions and more precise vocabulary. Expect place value to 1,000+, the four operations with small numbers, times tables foundations (2, 5, 10 and early 3, 4), telling the time, money, simple fractions (halves/quarters/thirds), and basic measures.
Selective schools often add “explain your method” prompts. A child who can calculate but can’t set out working will lose marks.
Eleven plus test maths: the topic map parents should follow
The Eleven plus test maths syllabus is broadly Key Stage 2, but the hard part is not the topic list; it’s the precision and logic demanded under time pressure. In GL-style multiple choice papers, the wrong answers are designed to match the most common misconceptions (misread units, place value slips, fraction-operation confusion).
To keep progress measurable, aim for weekly topic cycles: learn the method, practise untimed accuracy, then shift to timed mixed sets to simulate the real Eleven plus test.
Understanding the 11+ maths syllabus is only the first step—consistent practice and expert guidance are what help children turn knowledge into higher scores. If you’d like your child to experience our problem-solving approach, personalised feedback and small-group teaching, book a Free Trial today. It’s the perfect opportunity to assess their current level, identify any learning gaps and discover how Think Academy can help them prepare confidently for the Eleven Plus Test.
11+ maths core strands (what most papers pull from)
These strands cover the majority of 11+ questions across grammar and independent settings. Schools may vary by region and by provider, but the skill demands are consistent.
| Strand | What Pupils Must Be Fluent in by Year 6 | Common Exam Stretch |
|---|---|---|
| Number & Place Value | Place value, rounding, basic negative numbers | Working backward from constraints; closest estimate reasoning |
| Four Operations | Long multiplication/division, order of operations | Multi-step word problems with irrelevant data |
| Fractions/Decimals/% | Equivalence, converting, percentage of amounts | “Best value” comparisons; percentage change problems |
| Ratio & Proportion | Simple ratios, sharing amounts, scaling recipes | Advanced ratio tables; missing-value problems |
| Measures | Time, money, perimeter, area, unit conversion | Compound measures phrased in words (e.g., “per hour”) |
| Geometry | Angles on a line/point, symmetry, 4-quadrant coordinates | Missing angles hidden inside complex diagrams |
| Data Handling | Calculating the mean, interpreting tables and charts | Multi-step graph interpretation involving unit changes |
13+ (Year 9 entry) maths: how it differs from 11+
13+ maths typically demands stronger algebraic fluency and more formal reasoning than 11+. While the content still overlaps with Key Stage 2/3 foundations, questions lean into algebra, sequences, proportional reasoning, and more complex geometry than pupils usually see at primary level.
If your child is moving from a state primary into 13+ testing, the main risk is not “hard maths”; it’s unfamiliar algebraic notation and speed with rearranging simple expressions.
13+ maths strands commonly tested
Schools vary, but many 13+ papers draw from early Key Stage 3: algebra basics, sequences, ratio/proportion, and more structured problem solving. Children who learned “methods” without understanding will struggle when questions change format.
GCSE maths: syllabus boundaries parents should know
GCSE maths (Key Stage 4) is exam-board specified and sits well beyond 11+/13+ admissions. Parents should focus on structure: number, algebra, ratio/proportion, geometry/measures, probability and statistics, with problem solving and reasoning assessed throughout. For the statutory framework and assessment overview, see GOV.UK.
At GCSE, marks are heavily linked to method marks and clear reasoning. A pupil who can “get the answer” but can’t show steps will drop grades, particularly on Higher-tier multi-mark questions.
How Think Academy teaches “hard topics” with the CPA method
CPA (Concrete–Pictorial–Abstract) is the fastest route to long-term accuracy because it builds understanding before speed. It is also the most reliable fix for pupils who can do worksheets but freeze on unfamiliar exam questions.
Step 1 (Concrete): use counters, fraction circles, or place-value blocks to model the situation physically. Step 2 (Pictorial): switch to bar models, number lines, and part–whole diagrams so children can “see” the structure. Step 3 (Abstract): write the equation and practise varied question types until the method is automatic.
Common misconceptions & exam traps (primary admissions focus)
Selective papers are designed around predictable errors. Fixing these is often a quicker score gain than learning new content.
Example Question: A recipe uses 300g of flour for 12 biscuits. How much flour is needed for 18 biscuits?
Common Error: Pupils add 6 biscuits and add 300g ÷ 12 incorrectly, or use “add 50%” without checking the scaling factor.
Correct Method: Scale by 18 ÷ 12 = 1.5. Then 300g × 1.5 = 450g. The key logic is “same proportion”, not repeated addition.
Example Question: A rectangle has perimeter 36cm. Its length is 11cm. What is its width?
Common Error: Pupils do 36 ÷ 11 or forget the perimeter is 2L + 2W.
Correct Method: 2L + 2W = 36 → 22 + 2W = 36 → 2W = 14 → W = 7. Marks come from setting up the relationship correctly.
People Also Ask: quick answers parents search for
Q1: What score do you need to pass the Eleven plus test?
There is no single “pass mark” nationally. Many grammar schools set qualification using standardised age scores (SAS) and rank-ordering, so the required score moves each year with cohort performance and number of places.
Q2: Is the Eleven plus test the same everywhere in the UK?
No. Some areas use GL-style papers, others use CEM-style legacy formats or school-written assessments. Subjects also vary: some include only maths and English, others add verbal and non-verbal reasoning.
Q3: Can a child prepare for the Eleven plus test without a tutor?
Yes, if the plan is structured: consistent weekly practice, error logging, and timed mocks. The most common reason self-study fails is lack of diagnosis; parents keep repeating easy topics instead of fixing the exact misconception causing mark loss.
Q4: When should we start preparing for the Eleven plus test?
For most children, start light familiarisation in the summer term of Year 4 (especially vocabulary and reasoning habits), build consistency in Year 5, and focus on timed mixed practice and mocks from spring to summer of Year 5 into early Year 6.
Conclusion & Next Steps
The simplest way to reduce stress is to separate content from difficulty: the maths topics are learnable, but the exam demands logic, accuracy, and speed under unfamiliar wording. Use a stage-appropriate map (4+, 7+, Eleven plus test, 13+, GCSE), teach with CPA to secure understanding, and spend more time on error patterns than on new worksheets.
