Advice 11 Plus Year 6 How to Help Your Child Excel at 11+ Maths Problem-Solving

How to Help Your Child Excel at 11+ Maths Problem-Solving

Written by Louise Lang

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Here’s a straightforward guide full of practical advice on how you can help your child develop and revise their 11+ Maths problem-solving skills to boost confidence and performance. At Exam Papers Plus, we’ve been supporting families for years with expert 11+ exam preparation, helping children tackle tricky questions and build strong, lasting Maths skills.

This article has been written with input from Mary Ellis, Head of Maths at Westminster Under, whose classroom experience and exam-focused insights have helped shape the strategies you’ll read about here. Combining our practical, parent-friendly approach with Mary’s professional perspective ensures that these tips aren’t just theory—they’re proven, actionable ways to help your child improve problem-solving, master concepts, and approach exam questions with confidence.

Whether your child is just starting their 11+ preparation or looking to refine their skills before test day, these strategies will give you a clear framework for supporting their learning, boosting motivation, and creating effective revision routines that work in the real world.

Understanding the Challenge

Many of the more challenging 11+ maths questions test your child’s ability to apply mathematical thinking to unfamiliar problems under time pressure. They often involve bringing more than one topic together. Children can struggle not because they lack ability, but because they haven’t learned systematic approaches to tackling tricky questions.

Have you seen our Guide to Conquering 11+ Maths?

Solid Maths Foundations Are Essential for Successful 11+ Maths Problem-Solving

Mastering multiplication tables and basic concepts isn’t just about memorising facts – it’s about freeing up your child’s mental energy for more complex problem-solving. When they can instantly recall that 7 × 8 = 56, their brain can focus on understanding what the word problem is actually asking rather than getting bogged down in basic calculations. This leads to faster, more accurate working and greater confidence when tackling multi-step problems.

Don’t hesitate to revisit earlier material if needed. If your Year 6 child is shaky on fractions, going back to Year 3 or 4 fraction work isn’t embarrassing – it’s a smart strategy. As a parent of a high-achieving child, it’s tempting to push them forward, but sometimes we all need to go back and revisit the basics. It is not a waste of time or effort!

A child who truly understands basic concepts will progress much faster than one who’s been pushed ahead with key gaps in their knowledge. These gaps will inevitably cause problems later when advanced topics build on those shaky foundations. Taking time to consolidate earlier learning now will pay dividends as problems become more challenging. 

So, here’s a list of things that you need to make sure your child is 100% happy with. They may already know them, but if they don’t, quietly make sure they do.

Number bonds – knowing instantly that 7 + 3 = 10, or that 10 – 4 = 6. These automatic recall facts are crucial for mental arithmetic. 

Place value – understanding that the ‘3’ in 357 represents 300, not just 3. This underpins all work with larger numbers, decimals and rounding. (Independent Skills Practice or Grammar Skills Practice)

Basic fraction concepts – recognising that 1/2 = 2/4, understanding what the numerator and denominator represent and visualising fractions as parts of a whole. (Independent Skills Practice or Grammar Skills Practice)

Mental arithmetic strategies – like adding 9 by adding 10 and subtracting 1, or multiplying by 25 by multiplying by 100 and dividing by 4.

Basic measurement facts – knowing there are 100cm in a metre, 1000g in a kilogram, 60 minutes in an hour. These prevent silly errors in problem-solving. (Independent Skills Practice or Grammar Skills Practice)

Simple percentage equivalents – that 50% = 1/2, 25% = 1/4, 10% = 1/10. These make percentage problems much more manageable. (Independent Skills Practice or Grammar Skills Practice)

Understanding of the four operations – not just how to add, subtract, multiply and divide, but when to use each operation in word problems. (Independent Skills Practice or Grammar Skills Practice)

Simple Ways to Support Your Child’s 11+ Maths Problem-Solving Skills

Model your mathematical thinking aloud. When you encounter everyday maths problems – calculating sale discounts, working out journey times or adjusting recipe quantities – talk through your thought process step by step. This demonstrates how mathematical thinking applies beyond school and shows children that adults work through problems systematically too.

Use concrete examples to make abstract concepts clear. Physical items like coins, sweets or measuring scales can make complex problems tangible and understandable. Show them that problems can be solved multiple ways and encourage them to explore different approaches until they find what works best.

Help systematic thinkers develop structured approaches. Some children benefit from creating checklists and organised methods for tackling different question types. These structured frameworks can provide confidence and clarity when facing unfamiliar problems.

For example, tell them to… 

  1. Highlight the numbers and keywords. 
  2. Decide what operation they need. 
  3. Estimate a rough answer. 
  4. Calculate step by step. 
  5. Check their answer makes sense compared to their initial estimate.

Make maths meaningful by connecting it to their interests. A football-obsessed child will engage more readily with league table calculations or goal average problems than abstract number work. Gamers can explore calculations involving character stats, working out optimal resource management in strategy games or the best value in-game purchases. When children see mathematical thinking applied to things they genuinely care about, motivation and understanding follow more naturally.

Encourage visual problem-solving. Don’t worry when you see your child drawing diagrams, sketching pictures or colour-coding different problem types instead of immediately calculating. These visual representations are powerful thinking tools that often lead to breakthrough moments and deeper understanding. In exams, these sketches won’t be marked, but they’re never penalised – and they can actually give examiners valuable insight into your child’s mathematical thinking process.

Common 11+ Maths Problem-Solving Mistakes and How to Help

Reading too quickly 

Practise reading questions together and discuss what they’re really asking. Many errors come from misunderstanding the question, not miscalculating. Highlight key command words and operational instructions to sharpen focus. 

Not showing working

Explain that examiners want to see the thinking process when it comes to more complicated problems. Even wrong answers can earn partial marks if the method is sound and the examiner is able to piece together how your child set out to approach the question. 

Giving up too quickly 

Help your child understand that feeling stuck is a normal part of learning. Build their resilience by celebrating moments when they persist through challenges and experience those satisfying breakthrough moments.

Since most written, standard format 11+ Maths exams will allow children to work through questions in any order, teach them this strategic approach: start with the questions they feel most confident about to build momentum and warm up their mathematical thinking. Then return to the trickier problems with a more confident mindset. What seemed impossible at the beginning – when nerves were high and their brain hadn’t settled into maths mode – often becomes much more manageable once they’ve built up some success and momentum.

Smart Exam Strategies for 11+ Maths Problem-Solving

  • Work through questions in order: Start at the beginning, but don’t get stuck on any single problem. If you need to move on, that’s ok.
  • Mark and move on: If a question feels too hard, put a star or note next to it and continue. You can come back later.
  • Focus on what you can do: Prioritise completing questions you understand, rather than stressing over what you don’t.
  • Keep workings clear and legible: Neat, accurate steps are more important than finishing every question.
  • Return to tricky questions: After finishing easier questions, revisit the starred ones with fresh eyes.

When Maths Ability Works Against You

Some children are naturally gifted at mathematics – they see patterns instantly, solve problems in their heads and often finish work long before their peers. While this ability is awe-inspiring, it can become a liability in an 11+ exam if not managed carefully. Counterintuitive and unfair you might think? We know and agree, so we wanted to call it out. 

We find that if we explain the following to the brilliant children we work with, that this helps them to understand what they’re specifically up against in an 11+ Maths exam and ultimately, enables them to perform better. 

Untidy/Inaccurate work

Encourage your child to write all numbers clearly and legibly. For example, make sure a 0 doesn’t look like a 6 and that digits aren’t too close together. Practising on plain, blank paper rather than squared paper can help them focus on spacing and alignment, and working down the page keeps solutions organised and easy to follow. Make sure they have two or three sharp pencils in the exam so they can always write with a fine point.

When mistakes happen, it’s better to draw a single line through the incorrect working and start again rather than rubbing it out, as examiners can award marks if the method is visible. Remind your child to avoid “mathematical nonsense,” such as writing 24 + 6 = 30 x 5 = 150 on one line. Each calculation step should be written clearly on its own line so that every statement is correct and easy to follow. Clear, organised workings not only reduce mistakes but also give examiners the best chance to award marks for method and accuracy.

The rush to finish

Mathematically gifted children often work at lightning speed, eager and excited to move on to the next challenge. In exams, this can lead to careless errors – misreading questions, making silly calculation mistakes or forgetting to include units in their final answer. Speed without accuracy scores zero marks.

The ‘show your working’ tussle

A Maths whizz can often see the answer immediately and finds writing out steps tedious or unnecessary. However, many 11+ marking schemes award significant credit for method marks. A child who gets the wrong final answer but shows clear mathematical reasoning can still earn most of the available marks. The ‘genius’ who writes only a final answer gets nothing if that answer is incorrect.

Skipping the ‘obvious’ steps

Gifted children might leap several steps ahead in their thinking, assuming examiners will follow their logic. Unfortunately, examiners can only mark what they can see on the page. Missing steps often make it impossible to award partial credit, even when the child clearly understands the concept, so they might not earn all the marks they deserve.

Overconfidence – usually in mental calculations 

While strong mental arithmetic is an asset, complex 11+ problems often involve multiple steps where small errors can compound. The child who refuses to write anything down is more likely to make mistakes and has no way to check their work systematically.

Impatience with ‘easy’ questions 

These children might rush through seemingly simple questions without reading them carefully, missing crucial details or falling into deliberate traps that examiners set for overconfident students.

Poor exam technique 

Because maths has always come easily, they might never have developed good checking habits, time management skills or systematic approaches to unfamiliar problems. Every child has to learn how to take an exam.

To help your mathematically gifted child, practise writing out working even for problems they find easy. Frame it as ‘showing the examiner how brilliant your thinking is’ rather than dumbing down their ability. Teach them that speed is only valuable when combined with accuracy. Encourage them to double-check their work, especially on questions they found straightforward – this is where most mistakes happen, due to misguided enthusiasm. Help them understand that exam success requires demonstrating their knowledge clearly, not just possessing it.

The Best 11+ Maths Problem-Solving Strategy

Here’s a system that every child can follow. It provides a clear structure and enables a method for clear thinking, especially when the time pressure panic sets in. It’s also an easy-to-remember mnemonic: RUCSAC…which they can carry with them at all times!

  • Read the problem carefully (a couple of times, as needed)
  • Underline or highlight key information
  • Choose the right operation/s
  • Solve step by step
  • Answer the question that has been set
  • Check back over work
11+ Maths Problem-Solving

Practise 11+ Maths Problem-Solving Effectively

Choose your 11+ maths resources strategically. Start with foundational materials to identify any knowledge gaps. Mathematics builds upon itself like a pyramid – a weakness in basic concepts can topple everything above it as problems become more complex. Address these gaps immediately rather than pushing ahead with advanced topics. This may elicit calls of ‘this is too easy’ from your child, but explain to them why you are asking them to do this and how it will benefit them as their maths progresses in difficulty. 

As the exam approaches, transition to materials specifically designed for your target schools or exam boards. While generic maths workbooks will have provided excellent foundational practice, they won’t necessarily familiarise your child with the particular question styles, time pressures and formats used by specific schools. Each school has its own flavour of 11+ questions, and practising with authentic materials gives your child a crucial advantage on exam day.

Use online resources wisely. Video explanations can be helpful, but ensure your child is actively engaging, not passively watching. Pause videos and discuss what’s happening and always print out and use any accompanying worksheets, as using these alongside a video will help to embed the learning. 

Have you seen our 11+ Maths Video Masterclasses?

Always review mistakes together. Don’t just mark answers right or wrong. Sit with your child and work through errors. Ask questions like ‘What do you think went wrong here?’ rather than immediately explaining the solution.

Use timed practice carefully. When working on a new concept or revising a topic your child struggles with, stop the clock and work with no time limits to build confidence. As their skills develop and they become more comfortable with the topic, you can then gradually introduce (or reintroduce) time pressure.

What to Do When You’re Stuck on 11+ Maths!

Your role is to support the problem-solving process, not to be a walking calculator, so don’t worry if you can’t understand a question or work out the answer instantly. Help them break problems into smaller parts and encourage systematic thinking.

If your child is consistently struggling despite your support, a tutor familiar with 11+ requirements might be beneficial. Even a couple of sessions with a maths specialist can lead to new and effective insights. 

Final Thoughts

Your belief in your child’s ability to improve and your patient support through the ups and downs of maths learning will make a big difference. Focus on building their confidence, resilience and systematic thinking skills. 

From all of us at Exam Papers Plus, we wish your child the very best as they prepare for their exams ahead.

11+ Maths Problem-Solving FAQs

Why do children struggle with 11+ maths problem-solving questions?

Many students find these questions difficult because they combine multiple skills, require logical reasoning, and must be solved under time pressure. Gaps in basic number facts can also hold children back.

What strategies can help with 11+ maths problem-solving?

Using structured approaches like the RUCSAC method (Read, Understand, Choose, Solve, Answer, Check) helps children tackle problems systematically and avoid mistakes.

How can parents support maths problem-solving at home?

Parents can model thinking aloud, use real-life maths in everyday situations, encourage drawing diagrams, and set short, timed practice sessions to build confidence.

What are common mistakes children make in 11+ maths exams?

The most common mistakes include rushing, skipping steps, misreading questions, and giving up too quickly. Teaching children to slow down and check their work reduces these errors.

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