11+ Maths Preparation Guide: Topics, Problem Solving, Techniques & Parent Tips

There is no single national 11+ Maths syllabus. The content depends on the examination route, but preparation commonly draws heavily on KS2 mathematical knowledge, combined with more demanding reasoning and problem-solving questions.

Some assessments may place greater emphasis on particular question types than others. Parents should therefore confirm the requirements of their target school or assessment provider before building a preparation plan.

A student may understand multiplication, fractions or percentages in school but still find 11+ Maths difficult. This is because entrance questions often require students to:

The real challenge is often: Knowledge + Application + Reasoning + Accuracy + Timing.

Strong number sense is one of the most important foundations for 11+ Maths. Students should be confident with:

They should also understand relationships between numbers rather than relying only on memorised procedures.

Key preparation goal: students should be able to manipulate numbers confidently and recognise efficient approaches quickly.

Students should have secure methods for:

Weak arithmetic foundations can make advanced problem-solving unnecessarily difficult.

Fluent times tables support almost every area of 11+ Maths. They help with:

Students who repeatedly stop to work out basic multiplication facts may lose valuable time during more complicated questions. The goal should be accurate and automatic recall.

They may need to apply this knowledge within unfamiliar problems rather than simply define the terms.

Preparation tip: practise recognising number properties quickly before moving to more complex questions involving them.

Fractions are a major source of difficulty for many 11+ students.

Students should understand why fraction methods work rather than simply memorising steps.

A common difficulty is misunderstanding place value. For example, students should confidently understand why 0.7 is greater than 0.65, even though 65 is numerically larger than 7 when considered as whole numbers.

Students should understand both basic calculations and percentage applications.

These relationships can significantly improve calculation speed.

Strong students should be comfortable moving between different numerical representations — for example: 3/5 → 0.6 → 60%

This is an important area for both accuracy and reasoning.

Ratio questions test a student's ability to compare quantities. Students may need to:

Students should understand the relationship between ratio, fractions and proportion.

These questions often require students to determine the underlying relationship rather than apply an obvious formula.

Students need to read units carefully because incorrect conversions can cause otherwise correct calculations to fail.

Time questions can become surprisingly challenging.

Teach students to organise information carefully rather than attempting every calculation mentally.

These questions frequently combine several mathematical skills.

Students should know properties but also apply them to unfamiliar diagrams and problems.

Students should learn to mark known information clearly on diagrams.

A frequent mistake is confusing perimeter with area.

Students should always check which measurement the question actually requests.

Some questions may combine coordinate knowledge with geometry or reasoning.

Data questions test both mathematical ability and careful reading.

Rather than memorising definitions only, students should understand how each measure is calculated and what it tells them about a set of data.

Reasoning is one of the most important differences between ordinary calculation practice and strong 11+ preparation. Students should learn to ask:

These habits improve performance across almost every topic.

Many challenging 11+ questions involve more than one calculation. A useful approach is:

Students often struggle with word problems even when they can perform the required arithmetic. The issue is usually question interpretation.

Avoid teaching children to rely entirely on keywords such as “altogether means add”. The same word can appear in questions requiring different mathematical reasoning. Understanding context matters more.

Estimation is valuable for both problem solving and checking. Students can use estimation to answer: “Is my answer reasonable?”

If a calculation produces £987 when the expected amount should be approximately £10, something has probably gone wrong.

Teaching students to estimate before or after calculations can reduce careless errors.

Strong mental Maths can make students considerably more efficient. Useful mental skills include:

Mental strategies should complement — not replace — reliable written methods.

Students should also have secure written methods for calculations that are too complicated to perform mentally. These may include:

Students should know when written working is safer than trying to calculate everything mentally.

One of the biggest 11+ Maths preparation mistakes is placing too much emphasis on speed too early.

A fast incorrect answer earns no advantage.

Once accuracy is secure, students can improve speed through:

Speed should develop from mathematical fluency rather than rushed guessing.

Timing should be introduced once students are reasonably secure with the relevant concepts. A useful progression is:

If timing causes accuracy to collapse completely, the student may need additional concept practice first.

Depending on the assessment format, students may encounter questions that vary considerably in difficulty. Students should learn not to spend an excessive amount of time on one problem.

The exact strategy must match the rules of the relevant assessment.

Students should develop a consistent checking routine. Ask:

Good checking can recover marks lost through avoidable errors.

Students should record recurring mistakes so patterns can be addressed.

A score alone does not explain what needs improvement. For every incorrect answer, identify whether the issue was:

Different errors require different solutions.

A simple error log can include: Question/Topic, Why It Was Wrong, Correct Method, Action Needed.

This prevents students from repeatedly making the same mistakes.

Year 3

The priority should be mathematical confidence and secure foundations.

Year 4

This is a useful stage to begin introducing more challenging problem-solving gradually.

Year 5

Students can gradually begin timed exercises once skills are secure.

Summer Before Year 6

Year 6 Before the Exam

Avoid attempting to learn large amounts of new material immediately before the assessment.

Once appropriate, add timed sections or mock practice.

Do not begin by completing endless full papers. First identify the exact problem.

Once the difficulty is known, preparation can become much more targeted.

But ensure that increasing speed does not reduce accuracy.

Speed is not the priority.

The goal is controlled speed, not rushing.

Break problems into smaller stages. Teach the student to identify:

Students can underline key information and cross out irrelevant details where appropriate.

So gaps should be addressed early.

Do not rush into complex questions before foundational understanding is secure.

The rules vary by assessment. Parents should always check the official guidance for their target school's test rather than assuming calculators are permitted.

Regardless of exam rules, strong mental and written calculation skills are highly valuable for 11+ preparation.

However, repeatedly completing papers without analysing mistakes offers limited benefit.

Mocks are particularly valuable when followed by detailed performance analysis.

This converts a mock score into an improvement plan.

Parents can support Maths development without creating excessive pressure.

Everyday mathematical conversations can strengthen understanding naturally.

Is Maths included in every 11+ test?

Many selective entrance assessments include Maths, but the exact subjects and format depend on the school, consortium or assessment provider.

Is 11+ Maths harder than normal KS2 Maths?

The underlying concepts often overlap substantially with KS2 mathematics, but 11+ questions may demand greater reasoning, application, speed and problem-solving ability.

Should my child memorise formulas?

Students should understand important mathematical relationships and methods rather than rely only on memorisation.

How can my child improve Maths speed?

Strengthen times tables, mental Maths, number bonds and efficient calculation strategies before increasing timed practice.

How can my child improve problem solving?

Use unfamiliar and multi-step questions and teach a structured method for identifying information, choosing a strategy and checking the result.

Should we complete a full Maths paper every day?

Usually not. A balanced programme should include topic teaching, targeted questions, error review and timed papers when appropriate.

When should mock tests begin?

Once students have enough topic knowledge and question familiarity for the mock to provide meaningful diagnostic information.

What should we do if scores stop improving?

Analyse errors by topic and error type rather than simply completing more papers.