By Nick Hamshaw, Founding Head of 1729

Your child is doing well in mathematics. They achieve excellent marks, finish their homework without difficulty and receive consistently positive reports from school. Everything suggests that they are making good progress.
But perhaps you have noticed something else. They seem rather unenthusiastic about their mathematics lessons, despite being fascinated by puzzles, patterns or mathematical questions they encounter elsewhere. They might spend hours exploring a problem of their own choosing, yet describe their schoolwork as repetitive or uninteresting.
It raises a question that parents sometimes find surprisingly difficult to answer: is my child actually being challenged?
Doing well in mathematics and being appropriately challenged by it are not necessarily the same thing. A child can be highly successful in their schoolwork without regularly encountering mathematics that requires them to think deeply, explore unfamiliar ideas or persevere when the answer is not immediately apparent.
What are the signs that a child needs more mathematical challenge?
There is no definitive checklist, and children respond differently to their experiences at school. Nevertheless, there are some patterns worth noticing.
They complete work quickly and accurately. If a child regularly finishes well before their classmates, they may be spending much of their mathematics lessons practising things they already understand. Of course, fluency and consolidation matter, but they should not occupy all of a child's mathematical experience.
They seem less engaged by straightforward work than by difficult problems. Some children make careless mistakes in routine exercises yet become remarkably focused when presented with something unfamiliar or demanding. This does not necessarily mean that the work is too easy, but it may suggest that they respond particularly well to intellectual challenge.
They ask questions that go beyond the lesson. Rather than simply wanting to know how to complete a calculation, they may ask why a method works, whether it always works or what would happen if one of the conditions changed. Sometimes these questions lead into mathematics well beyond the intended scope of the lesson.
They pursue mathematics independently. They may enjoy mathematical games, invent puzzles, notice unusual patterns or become absorbed in questions that have no obvious connection to their schoolwork. Importantly, they may be willing to spend considerable time on something they cannot immediately solve.
They describe mathematics at school as repetitive or predictable. A child who rarely encounters anything surprising may gradually lose interest, even while continuing to achieve excellent results.
None of these observations proves that a child is insufficiently challenged. Apparent disengagement can have many explanations, including gaps in understanding, anxiety or difficulties elsewhere in school life. It is important not to assume that boredom always indicates a need for harder work.
But where several of these patterns persist over time, particularly alongside strong attainment and a genuine enthusiasm for mathematics outside the classroom, they are worth exploring.
Why does mathematical challenge matter?
One of my concerns as a mathematics teacher has always been what children learn about the subject when they find almost everything easy.
A young person who consistently gets the right answer may gradually come to believe that being good at mathematics means being quick, accurate and rarely getting stuck. Those are useful qualities, but they are only part of what mathematics involves.
As mathematical ideas become more sophisticated, the ability to work through uncertainty becomes increasingly important. There are problems for which the right approach is not obvious, where an initial conjecture turns out to be false or where several attempts are needed before a useful insight emerges.
Children need opportunities to develop the confidence and persistence required for this kind of thinking.
Indeed, there is something rather valuable about a mathematically successful child encountering a problem they cannot immediately solve. They begin to discover that difficulty is not evidence of failure. It is often where the most interesting mathematics begins.
If children are rarely challenged in this way, they may miss opportunities to develop habits of reasoning, creativity and perseverance that will become increasingly important as they progress.
More difficult mathematics, or deeper mathematics?
When parents ask for more challenging work, the natural response is sometimes to provide material from a higher year group. A child who has mastered the current topic might move on to the next one, or begin studying GCSE material unusually early.
Acceleration can certainly be appropriate, but it is not the only way to provide challenge.
Consider a child who has learned that the angles in a triangle add up to 180 degrees. They might be able to calculate missing angles in increasingly complicated diagrams, completing every question correctly.
But what happens if we ask them to explain why the angles add to 180 degrees? Can they find more than one explanation? Does the result depend on the kind of surface on which the triangle is drawn?
These questions take a familiar piece of school mathematics and open it up into something much richer.
The child is no longer simply applying a method. They are investigating a mathematical idea, examining its assumptions and trying to construct a convincing argument.
This is the distinction between increasing difficulty and increasing depth. Both have their place, but it is often depth that provides the most rewarding challenge for a young person who already grasps conventional school mathematics quickly.
What should you ask your child's school?
If you are concerned that your child is not being sufficiently challenged, I would begin with a conversation rather than an assumption.
Ask your child which parts of mathematics they enjoy most, what they find repetitive and whether they encounter problems that genuinely make them think. Try to gather a few specific examples rather than relying entirely on general descriptions of lessons being easy or boring.
Then speak to their teacher.
The National Curriculum in England offers a useful starting point. It explicitly recommends that pupils who grasp concepts rapidly should be challenged through rich and sophisticated problems before being accelerated through new content.
Rather than simply asking for harder worksheets, you might explore questions such as:
These questions can help establish whether the issue is the level of the work, the nature of the mathematical activities or something else entirely.
Teachers are often very willing to support children who need additional challenge, but they may not always be aware of the extent of a child's mathematical interests outside school. A constructive conversation can therefore be enormously valuable.
What can parents do at home?
My first suggestion would be not to turn home into a second mathematics classroom.
There is often little benefit in giving a child large quantities of additional exercises, particularly if they have already mastered the techniques involved. Instead, try to provide opportunities to encounter mathematics that is interesting, unfamiliar and open to exploration.
The University of Cambridge's NRICH website is an excellent source of rich mathematical problems. The UK Mathematics Trust also provides challenges that encourage creative thinking and problem-solving rather than the routine application of familiar methods.
Perhaps most importantly, allow children time to think.
If they become stuck, resist the temptation to explain immediately how to proceed. Ask what they have tried, whether they can find a simpler example or whether they have noticed anything interesting. Encourage them to explain their reasoning, even when you do not know the mathematics yourself.
There is no reason why a parent should always have the answer. Exploring a problem together, with neither person knowing how to solve it, can be a particularly valuable experience.
It is also worth looking for opportunities beyond the home. Maths Circles, mathematical clubs, competitions and holiday programmes can introduce children to unfamiliar ideas and, just as importantly, to other young people who share their interests.
For some children, discovering that there are others who enjoy spending an afternoon discussing a difficult mathematical problem can be as significant as the mathematics itself.
What if the school cannot provide enough challenge?
For many children, the combination of a supportive teacher, richer classroom activities and opportunities for mathematical exploration outside school will make a substantial difference.
But there are some young people for whom mathematics becomes an unusually important part of their intellectual lives. They want to spend much more time exploring the subject, encounter unfamiliar ideas regularly and work alongside others who share their enthusiasm.
For these children, it may be worth considering whether a different educational environment would allow them to flourish.
This is one of the reasons we established 1729 Maths School, which opened in September 2026 for pupils aged 11–18. Our students spend significantly more time studying mathematics than they would in a conventional school, with an emphasis on depth, reasoning, exploration and developing mathematical understanding. They also have opportunities to work with researchers and other young people who share their fascination with the subject.
Specialist mathematical education will not be the right choice for every child who achieves excellent results. Nor does it need to be. The important question is whether a child's educational experience provides the intellectual challenge and opportunities for growth that they need.
Looking beyond the marks
Excellent results in mathematics are worth celebrating. But they do not tell us everything about a child's experience of learning the subject.
I would encourage parents to look beyond how many questions their child answers correctly, or how quickly they complete their work. Ask instead whether they are encountering ideas that surprise them, problems that require sustained thought and questions that make them reconsider what they thought they understood.
A child who is doing well in mathematics should also have the opportunity to discover just how much more there is to think about.