Grammar School Maths Preparation: 11+ Guide
Grammar school Maths Preparation is a key part of many 11+ entrance tests, with questions designed to assess more than a child’s ability to perform basic calculations. Children may need to apply their knowledge to unfamiliar problems, work through multiple steps and find accurate answers within a limited amount of time.
This guide covers the key 11+ Maths topics, common question types and how to use practice papers effectively. You’ll also find practical advice for building speed and accuracy, preparing in Year 4 and Year 5, and developing the problem-solving skills needed to approach challenging questions with confidence. For more information on the wider admissions process, see our Grammar School Admissions 2026: A Parent’s Guide and learn how Grammar School Preparation can help your child prepare effectively.
With the right preparation, children can build a strong mathematical foundation while gradually becoming more comfortable with the demands of the grammar school entrance exam. Parents can also explore Grammar School Mock Exams to understand how timed practice can support 11+ preparation.
Page Contents
Grammar School Maths Preparation Topics
Key 11+ Maths Topics
Grammar school entrance tests can cover a broad range of 11+ Maths topics, so preparation should go beyond simply revising the Year 5 curriculum. Children need to be confident with core calculations while also developing the problem-solving skills needed to tackle unfamiliar questions under time pressure.
The key areas to focus on include:
- Number: place value, the four operations, factors, multiples, primes, squares and sequences.
- Fractions, decimals and percentages: conversions, comparisons and calculations.
- Ratio and proportion: scaling, sharing and solving proportion-based problems.
- Algebra: simple equations, missing numbers and recognising mathematical relationships.
- Geometry: angles, shapes, symmetry, coordinates and properties of 2D and 3D shapes.
- Measurement: length, mass, capacity, time, money, perimeter, area and volume.
- Statistics: tables, charts, graphs, averages and interpreting data.
- Problem-solving: multi-step questions, logical reasoning and applying mathematical knowledge in unfamiliar situations.
For grammar school preparation, it is particularly important to master the underlying method rather than memorise answers. A child who understands why a method works is better equipped to adapt when a question is presented in an unfamiliar way.
Maths Problem-Solving Skills
Strong maths problem-solving skills are essential for 11+ preparation because grammar school entrance questions often require children to apply what they know rather than simply perform a calculation. A question may combine several skills or present familiar maths in an unfamiliar format.
Children should practise identifying what the question is asking, selecting the right method and working through each step logically. Encourage them to underline important information, estimate where appropriate and check whether their final answer makes sense.
Regular practice with different question types can help children become more flexible and confident. Rather than repeatedly completing questions they already find easy, focus on problems that expose gaps in understanding and encourage them to explain why a particular method works.
For timed 11+ preparation, accuracy should come before speed. Once the underlying method is secure, gradually introduce time limits so children can develop the confidence to solve unfamiliar problems efficiently.
Grammar School Maths Preparation Test Papers
11+ Maths Practice Papers
11+ Maths practice papers are a useful way to move from learning individual topics to applying them in exam-style questions. They can help children become familiar with different question formats while developing the accuracy, speed and problem-solving skills needed for grammar school entrance tests.
Start with untimed practice papers so your child can focus on understanding the questions and choosing the correct method. Once they are comfortable, introduce timed papers gradually. This allows them to build exam technique without making speed the priority before their mathematical understanding is secure.
The most valuable part of completing a practice paper is reviewing it afterwards. Go through every incorrect answer and identify whether the problem came from a knowledge gap, a calculation error, misunderstanding the question or running out of time. Keeping a record of recurring mistakes can help you target future revision more effectively.
For the best results, combine practice papers with topic-specific work. If a child repeatedly struggles with fractions, for example, return to fraction questions before completing another full paper. This turns each practice paper into a diagnostic tool rather than simply another score to record.
How to Use Maths Test Papers
Knowing how to use maths test papers effectively is just as important as completing them. For 11+ preparation, practice papers should help your child identify gaps, improve problem-solving and gradually become more comfortable working under exam conditions.
Rather than using a paper simply to produce a score, treat each one as a way to understand what your child can already do and what needs more practice.
| Stage | What to do | Main goal |
|---|---|---|
| 1. Start untimed | Let your child work through questions without pressure | Build understanding |
| 2. Review answers | Check correct and incorrect responses together | Identify weaknesses |
| 3. Practise weak topics | Return to specific areas such as fractions or ratio | Fix knowledge gaps |
| 4. Introduce timing | Complete sections within realistic time limits | Develop speed and accuracy |
| 5. Repeat and compare | Use another paper after targeted practice | Measure improvement |
Review Every Mistake
Don’t focus only on the final score. Look at why each question was answered incorrectly. A mistake caused by misunderstanding a fraction is different from one caused by rushing or misreading the question.
Encourage your child to keep a simple mistake log covering the topic, type of error and correct method. Over time, this can reveal patterns and help you decide which areas should receive more attention.
Gradually Introduce Timed Practice
Once your child is confident with the underlying maths, begin introducing timed 11+ Maths practice papers. Start with shorter timed sections before progressing to complete papers.
The aim is not simply to make your child work faster. They should learn to balance speed, accuracy and careful reading, particularly when questions become more challenging.
Use Papers Alongside Topic Practice
Practice papers work best when combined with targeted revision. If your child repeatedly struggles with percentages, for example, spend time practising percentages before returning to another full paper.
This approach makes every paper useful: the questions reveal what needs improving, and the targeted practice helps your child address those weaknesses before the next attempt.
Learn the Smart Methods Behind 11+ Success
Our Maths Made Simple books teach children proven Smart Methods that make difficult questions easier to understand. Every strategy is explained step by step, then reinforced with worked examples and practice questions so children can confidently understand, remember and apply each method in future exams.
✓ Step-by-step explanations
✓ Faster problem-solving strategies
✓ Real 11+ style practice questions
✓ Perfect alongside our Summer Maths Course
How to Prepare for Grammar School Maths
Improve Speed and Accuracy
For 11+ Maths, speed and accuracy need to develop together. A child who works quickly but makes frequent calculation errors can lose marks, while working too slowly can leave difficult questions unanswered. The aim is to help your child solve familiar problems efficiently while still taking enough care to avoid avoidable mistakes.
Start by making sure your child has secure methods for common calculations. Practise mental arithmetic, times tables and key number facts regularly so that they do not have to spend too much time working out basic calculations during a timed test.
| Skill | Practice approach | Goal |
|---|---|---|
| Mental maths | Short daily calculation sets | Faster recall |
| Written calculations | Practise accurate methods | Reduce errors |
| Problem-solving | Mix familiar and unfamiliar questions | Improve flexibility |
| Timed questions | Gradually reduce the time allowed | Build exam speed |
| Checking | Review answers when time allows | Catch avoidable mistakes |
As your child’s confidence improves, introduce timed 11+ Maths questions and practice papers. Keep track of both their score and completion time so you can see whether improvements in speed are coming without a drop in accuracy.
Most importantly, don’t encourage your child to rush from the beginning. Build accuracy first, then increase speed gradually. This creates more reliable exam technique and helps children stay calm when faced with challenging questions.
Practise Timed Maths Questions
Once your child is confident with the core 11+ Maths topics, introduce timed questions to help them become comfortable working under pressure. The goal is not simply to work faster, but to maintain accuracy while making efficient decisions.
Start with short sets of timed questions rather than immediately completing a full paper. This gives your child the opportunity to practise reading questions carefully, choosing the right method and checking their work within a set time.
As their confidence improves, gradually increase the number of questions and reduce the time available. If they begin making more mistakes because they are rushing, increase the time again and focus on accuracy before trying to improve speed.
After each session, review any incorrect answers and ask your child why they made the mistake. This can reveal whether they need more practice with a particular topic, better question-reading skills or simply more experience working under timed conditions.
Regular timed practice, combined with untimed topic work and 11+ Maths practice papers, can help your child build the speed, accuracy and confidence needed for the entrance test.
Grammar School Maths Questions
Common 11+ Maths Question Types
11+ Maths questions can test more than straightforward calculations. Grammar school entrance papers often require children to apply their knowledge to unfamiliar problems, work efficiently and identify the correct method quickly.
Common question types include:
- Number and calculation: Addition, subtraction, multiplication, division, factors, multiples, primes and sequences.
- Fractions, decimals and percentages: Comparing values, converting between forms and solving calculations.
- Ratio and proportion: Sharing quantities, scaling and finding missing values.
- Word problems: Applying maths to real-life situations and identifying the information needed to solve a problem.
- Algebra and missing numbers: Finding unknown values and recognising mathematical patterns.
- Geometry: Angles, shapes, symmetry, coordinates and properties of 2D and 3D shapes.
- Measurement: Time, money, length, mass, capacity, perimeter, area and volume.
- Data and graphs: Reading tables, charts and graphs and interpreting the information provided.
- Sequences and patterns: Identifying rules and predicting what comes next.
- Multi-step problems: Combining two or more mathematical skills to reach the correct answer.
The most challenging questions are often those where the method is not immediately obvious. Regular practice with different question formats can help children become more flexible and learn to identify the mathematical steps needed rather than relying on one familiar method.
Challenging Maths Problems
Challenging 11+ Maths problems are designed to test how well children can apply their knowledge rather than simply recall a formula or calculation method. These questions may combine several topics or present familiar maths in an unfamiliar way.
Encourage your child to slow down and identify exactly what the question is asking before calculating. Drawing a diagram, writing down known information or breaking a problem into smaller steps can make a difficult question much more manageable.
Focus on developing mathematical reasoning, rather than teaching children to rely on trial and error. When reviewing a challenging question, ask your child to explain how they reached their answer and whether there was another way to solve it.
Regular exposure to harder problems can also build resilience. Not every question should be solved immediately; learning to recognise when to move on and return to a difficult problem later is an important skill for a timed 11+ Maths test.
Grammar School Maths Preparation by Year
Year 4 Preparation
Year 4 is a good time to build the foundations for grammar school Maths without putting children under unnecessary exam pressure. At this stage, the focus should be on developing secure mathematical understanding rather than completing large numbers of timed 11+ papers.
Prioritise core skills such as number, mental arithmetic, fractions, decimals, problem-solving and mathematical reasoning. Make sure your child understands the methods they use and can apply them to different types of questions.
Short, regular practice is usually more effective than long revision sessions. Encourage your child to solve interesting problems, explain their reasoning and learn from mistakes. This helps develop the confidence and flexibility they will need when questions become more challenging.
As Year 4 progresses, you can gradually introduce 11+ style questions alongside normal schoolwork. Keep most practice untimed initially, using the results to identify areas that need strengthening before moving towards more formal test preparation in Year 5.
Year 5 Preparation
Year 5 is when grammar school Maths preparation should become more structured. Your child should continue strengthening core skills while gradually moving towards the style, difficulty and time pressure of the 11+ entrance test.
Focus on the areas where your child is least confident, particularly fractions, decimals, percentages, ratio, problem-solving and multi-step questions. Regular practice is more useful than trying to cover everything at once, so build short Maths sessions into the weekly routine.
As your child progresses, introduce 11+ Maths practice papers and timed question sets. Start without strict time limits when introducing a new question type, then gradually add timing once the method is secure.
By the end of Year 5, your child should be comfortable with a wide range of grammar school Maths questions, able to identify the appropriate method quickly and increasingly confident working under exam conditions. The final stage should focus on addressing recurring mistakes and building consistency rather than simply completing as many papers as possible.
Grammar School Maths: Final Tips
Strong Grammar School Maths preparation is about building understanding first, then developing the speed and accuracy needed for the 11+ entrance test. Avoid relying solely on repeated papers; use practice to identify weaknesses and improve specific skills.
Keep these final tips in mind:
- Master the fundamentals: Make sure core topics such as fractions, percentages, ratio and number are secure.
- Practise problem-solving: Include unfamiliar and multi-step questions so your child learns to apply their knowledge flexibly.
- Build speed gradually: Introduce timed questions once your child is confident with the underlying methods.
- Review mistakes: Look for patterns in incorrect answers and revisit the topics causing difficulty.
- Use practice papers strategically: Treat each paper as a way to measure progress, not simply as a score.
- Stay consistent: Short, regular Maths sessions are generally more productive than last-minute intensive revision.
- Build confidence: Encourage your child to explain their reasoning and approach difficult questions calmly.
Most importantly, don’t let exam preparation become entirely about speed. A child who understands the logic behind a problem will be better equipped to tackle unfamiliar questions and adapt their approach when the 11+ becomes challenging.
Targeted Teaching for Every Child
Lessons are grouped by personalised ability level, so every child learns at the right pace. This helps build confidence, strengthen understanding and make every lesson more effective.
✓ Personalised learning groups
✓ Lessons matched to ability
✓ Expert maths teachers
✓ Faster progress through focused support
