Of the four 11+ subjects, Maths is often the one where preparation makes the biggest difference. Unlike Verbal Reasoning — which is largely unfamiliar to children regardless of their school performance — or Non-Verbal Reasoning, which looks strange to everyone at first, Maths is a subject children study every day at school. They have years of experience with it. The problem: school maths and 11+ maths are not the same thing. Speed, difficulty, and question style all differ significantly from what children encounter in Year 5 and Year 6 lessons. This guide covers every topic tested, the techniques that work, and how to build the fluency the 11+ actually demands.
Children who score in the top 10% for 11+ Maths are typically one year ahead of the curriculum AND have strong mental arithmetic fluency — accuracy at speed, not just accuracy.
What the 11+ Maths Paper Covers
The 11+ Maths paper draws from the full KS2 curriculum — Years 3 through 6 — but with questions pitched at greater difficulty and speed than standard school tests. There are eight main topic areas. A typical 15-question practice section will weight them approximately as follows:
- Number & arithmetic — place value, times tables, factors, primes, HCF, LCM (~4 questions). The largest single area and the one that underpins performance in every other section. Children who lack fluent recall of times tables and factor relationships slow down significantly across the whole paper.
- Fractions, decimals & percentages — converting between forms, operations, percentage of amounts (~3 questions). Questions often involve multi-step conversions. A common error is applying percentage calculations incorrectly when the base quantity changes between steps.
- Ratio & proportion — simplifying ratios, sharing a quantity in a given ratio, direct proportion (~2 questions). Ratio questions frequently appear as word problems, requiring children to extract the ratio relationship from context before calculating.
- Algebra & sequences — finding the nth term of a sequence, solving simple equations, using function machines (~2 questions). Sequence questions are common and reward children who can identify both arithmetic and geometric patterns quickly.
- Geometry — area and perimeter of standard shapes, angles in polygons, properties of 2D and 3D shapes (~2 questions). Children need to know the formulas for common shapes and be able to apply them quickly — not derive them from first principles.
- Measurement — unit conversions, time problems, reading scales (~1 question). Often the most straightforward section for well-prepared children, but a source of errors for those who confuse metric and imperial units or misread time calculations.
- Data handling — mean, median, mode, and range; reading bar charts, pie charts, and tables (~1 question). Data handling questions typically combine reading a chart or table with a statistical calculation, requiring accuracy at both steps.
- Word problems — multi-step problems combining topics from two or more of the above areas (~3 questions). The hardest questions on the paper for most children. Require reading comprehension as well as mathematical skill — the question is always about identifying what is being asked before starting to calculate.
GL Assessment vs CEM: What's Different?
The two main 11+ exam boards — GL Assessment and CEM (Centre for Evaluation and Monitoring) — take different approaches to testing maths. Knowing which exam board your target school uses is essential, because the preparation is not identical.
GL Assessment has a dedicated Maths paper, typically 25–50 questions completed in 25–45 minutes. Questions are clearly labelled by topic, presented individually, and tend to emphasise number work, arithmetic, and standard curriculum topics. Children familiar with maths textbooks will recognise the question style.
CEMintegrates maths as a "Numerical Reasoning" section within a combined paper. It features fewer dedicated maths questions but presents them in more varied formats, often under a stricter time limit. CEM tends to favour real-world data interpretation tasks over pure arithmetic.
CEM numerical reasoning questions are often presented as real-world data interpretation tasks — reading graphs, interpreting tables — rather than pure arithmetic. GL Assessment leans more heavily on number work.
If your target school uses CEM, ensure practice includes data interpretation tasks and mixed-format questions — not just standard arithmetic papers. If it uses GL Assessment, prioritise number fluency and timed arithmetic drills alongside the full topic list above. Most preparation resources are designed for GL Assessment by default; CEM preparation requires more deliberate sourcing of the right material.
The Speed Problem
School maths teaching prioritises accuracy. Children are taught to work through problems carefully, showing their working, and to check answers before moving on. These are excellent habits for learning — but they produce children who are accurate and slow. The 11+ requires children to be accurate and fast.
The target pace in a competitive 11+ paper is approximately 60–90 seconds per question. Most children beginning preparation are working at 2–3 minutes per question on harder questions, and the time pressure of a real exam makes them slower still. Closing this gap requires deliberate speed training — not just more practice papers.
The most effective approach is timed drills on individual question types, not full papers. A child who takes 3 minutes to complete a ratio word problem needs to practise ratio word problems specifically, under a 90-second target, until the time drops. Working through a full paper with a slow section buried in it produces much less improvement than targeted drilling of the exact question type causing the delay.
- Start each new question type with a 2-minute target per question — generous, but not unlimited
- Reduce the target to 90 seconds after the child can consistently achieve 2-minute accuracy
- Reduce to 60 seconds as the target approaches exam pace — this is the maintenance goal
- Use a visible timer during drills — children who cannot see the time cannot manage it
- Do not accept slow and right in practice — accuracy without speed is not exam readiness
- Run timed drills over a 6–8 week period per question type before re-testing full-paper pace
Mental Arithmetic: The Foundation
Times tables, factor pairs, percentage shortcuts, and number bonds are not 11+ questions in their own right — they are the sub-skills that determine how fast every other question can be answered. A child who must calculate 7 × 8 during a word problem loses several seconds and a significant amount of working memory to a step that should take no conscious effort at all.
The following mental maths facts should be fully automatic — recalled instantly, without calculation — before a child sits any timed practice:
- Times tables to 12×12 — every product, in any order, in under 2 seconds. The standard school expectation (times tables by end of Year 4) is the minimum; the 11+ demands genuine instant recall, not counting-up strategies.
- Factor pairs of numbers up to 100 — knowing that 72 = 8×9 = 6×12 = 4×18 instantly is the difference between a 30-second HCF question and a 3-minute one.
- Percentage shortcuts — 10%, 25%, 50%, and 75% of any 2 or 3-digit number without calculation. These appear in percentage questions, ratio questions, and data handling questions.
- Doubling and halving chains — doubling or halving a number up to 200 instantly. Used constantly in fraction simplification and mental multiplication.
- Square numbers to 15² — 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225. These appear in geometry, sequences, and number problems.
Mental arithmetic drills should be short and daily — 5 minutes every morning is far more effective than 30 minutes once a week. Fluency is built through frequency of retrieval, not duration of sessions. Apps, flashcards, or simple verbal quizzes from a parent all work equally well. The goal is not understanding — it is instant, automatic recall.
Word Problems: The Hardest Questions
Word problems consistently cause the most difficulty in 11+ Maths — not because they require more advanced mathematics, but because they require children to do two things simultaneously: read carefully enough to understand what is being asked, and then solve a 2 or 3-step maths problem quickly under time pressure. Most errors are reading errors, not calculation errors.
A reliable 4-step technique works for the majority of word problems:
Step 1 — Read once for the scenario. Understand the context: what are we buying, measuring, or comparing? Do not attempt any calculation yet.
Step 2 — Read again underlining numbers and the question. Underline every number. Underline or circle the question being asked. This step prevents the most common error: answering a related but different question from the one actually asked.
Step 3 — Identify the topic(s) involved. Is this a ratio problem? A percentage of an amount? A multi-step arithmetic problem? Identifying the type before calculating prevents applying the wrong method.
Step 4 — Solve step by step, writing every intermediate answer. Never combine two steps into one mental leap. Each intermediate answer written down is a recovery point if a mistake is made, and writing intermediates prevents arithmetic errors from compounding.
Underlining the question being asked — literally with a pencil — reduces wrong-question errors by a large margin. Teach this as a non-negotiable habit from the first week of preparation.
Common Mistakes and How to Fix Them
The same errors appear repeatedly across children of all ability levels. Knowing them in advance and building habits to prevent them is much more efficient than waiting to encounter them through failed practice papers.
- Not reading the units required — the question asks for the answer in centimetres, the child gives metres, or vice versa. Fix: circle the required unit before beginning any calculation.
- Arithmetic errors under pressure — particularly in multiplication and fraction addition. Fix: write every step down; never attempt two operations in one mental step.
- Spending too long on a single hard question — running out of time at the end of the paper. Fix: after 90 seconds on any question, move on and mark it to return to. Unanswered easy questions later in the paper are more valuable than extra time on one hard question.
- Fraction errors in addition and subtraction — adding numerators and denominators separately instead of finding a common denominator. Fix: always write the common denominator explicitly as the first step of any fraction addition or subtraction.
- Forgetting to simplify the final answer — giving a fraction answer that is not in its lowest terms when the question expects a simplified form. Fix: build simplification into the final step of every fraction and ratio answer as a non-negotiable check.
How to Practise Effectively
Daily 20-minute sessions produce significantly better results than weekly 2-hour sessions for maths preparation. This is because mathematical fluency is built through repeated retrieval, and the spacing between daily sessions consolidates learning more effectively than massed practice. A child who practises maths for 20 minutes every day will outperform a child who practises for 2 hours every Saturday, even if the weekly totals are similar.
A practical structure for each 20-minute session:
- 5 minutes — mental arithmetic drill. Times tables, factor pairs, percentage shortcuts. Use flashcards or a timer. Keep a record of which facts are still slow.
- 10 minutes — topic focus. Work on the weakest topic area identified by the most recent practice test. Do timed questions of that specific type only, starting with 2-minute targets and reducing over weeks.
- 5 minutes — mixed timed questions. Three to five questions from a mix of topic types at exam pace. This builds the ability to switch between topics quickly — a skill the full paper requires.
Every four weeks, replace a regular session with a timed full maths paper under exam conditions. This measures real progress, identifies any new weaknesses that have emerged, and maintains familiarity with the pace and format of the actual assessment.
Use Eduentry's adaptive assessment to identify the weakest topic areas before choosing where to direct the topic focus sessions. The adaptive engine locates the exact difficulty band where errors begin — this is the productive zone for practice. Drilling questions that are too easy produces no improvement; drilling questions that are far too hard produces frustration and no improvement. The right difficulty level is just above the current reliable accuracy level.
Conclusion
Maths is the most improvable 11+ subject with structured preparation. Many children reach SAS 120+ with 6 months of consistent, targeted work — but only if the preparation is focused on the right things: the weakest topic areas, at the right difficulty level, with a deliberate emphasis on speed as well as accuracy.
The formula is straightforward: find the gaps with a baseline score, fix the foundations with daily mental arithmetic, build topic fluency through targeted timed drills, and track progress with monthly full tests. The ceiling is high — but it requires starting with an honest picture of where your child currently stands.
Start with a free baseline assessment to find out exactly where your child's maths score stands today.