Puzzles in UKMT competitions often seem like a totally different kind of maths. They’re not always about neat steps or matching a lesson from class. Instead, they test how we think when a question feels unusual or doesn’t look familiar. Some pupils find that exciting, others a bit intimidating at first. But those twisty puzzles have a purpose.
They’re built to encourage something called “thinking sideways.” That means trying out fresh ideas when the usual method doesn’t quite fit. UKMT puzzles give pupils the chance to play with problem-solving. They’re not about speed or remembering every formula. They’re about being curious, steady, and creative under pressure. As pupils face more unusual problems, they start to realise that maths can be playful, full of surprises, and build different kinds of mental skills.
What Does “Thinking Sideways” Mean?
Thinking sideways means finding a new path when the first route doesn’t lead anywhere. It’s like looking at a tricky shape from another angle or trying a second way to arrange numbers.
In UKMT puzzles, this skill shows up when:
- A straight method leads to a dead end, and pupils need to come up with something clever
- The problem hides a trick that only makes sense if you stop and look at it differently
- The answer isn’t obvious, which encourages slow thinking instead of guessing fast
It’s not about rushing to get it “right.” It’s about being willing to pause, go back, and test another idea. Sometimes, that might mean erasing an entire working and starting fresh. That sort of flexible thinking builds stronger habits than just memorising quick steps. As pupils practise shifting their approach, they slowly build the confidence to keep trying, even when a problem looks impossible at first glance.
When Maths Feels Like a Puzzle, Not a Problem
When we picture maths, many think of numbers, equations, or working things out in a set order. But in UKMT competitions, the questions are more like puzzles. They’re built to make the brain stretch beyond regular steps.
These puzzles often:
- Use numbers in surprising ways, such as reversing them or hiding patterns
- Ask for more than just “work it out”—they want you to spot what’s unusual or missing
- Involve bits of geometry, logic, and algebra, all rolled into something that looks unfamiliar at first
This doesn’t mean they’re meant to confuse. They’re built to open up different ways of thinking. When pupils get used to this idea, they start to enjoy the challenge more than dread it. The focus shifts from worrying about getting the solution straight away to enjoying the process of exploring new possibilities. By seeing maths questions as playful challenges rather than chores, pupils develop a healthier attitude toward practice and problem-solving in general.
Getting Comfortable with Surprises
For some pupils, questions that feel strange right away can be frustrating. In school, they might be used to problems that follow a pattern. But UKMT puzzles are often shaped to catch you off-guard, and that’s part of what makes them useful.
It helps to remember:
- Feeling stuck at first is normal—it doesn’t mean you’re bad at maths
- Taking a breath and rereading the question calmly can reset your thinking
- Coming back later with fresher eyes is better than stressing in the moment
The sooner pupils learn to treat surprises as part of the learning, not a mistake, the better they get at staying curious. Over time, they stop feeling thrown off and start thinking, “Right, let me try that from a new angle.” That’s where real growth happens. With practice, the unknown becomes less scary, and pupils start to believe that solutions can appear if they keep looking. This approach not only helps during competitions, but in every maths lesson where new content or problems arise.
How Sideways Thinking Helps Outside the Test
The kind of thinking UKMT competitions encourage doesn’t end when the test does. We’ve seen that it carries into other places too, both in and out of the classroom.
It’s useful because:
- Sideways thinkers are more likely to pause, think, and test out different ways to solve real-life problems
- They can stay calm in situations that don’t have obvious steps, because they’re used to slow thinking
- When other subjects throw surprises their way, they’re quicker to notice connections or patterns
This sort of problem-solving isn’t just about maths. It helps pupils feel more confident with tricky reading tasks, science questions, or anything where a clear answer isn’t handed to them straight away. A pupil who gets used to thinking sideways in maths may later be able to tackle a confusing story or science experiment with the same calm and patience they learned from puzzles. This is a key benefit for students, as life is often about adapting to new situations.
Building Sideways Thinking Through Support
Practising this kind of thinking takes time. It’s not something that clicks in a week. But we find it spreads faster when pupils get a chance to talk through tricky problems and see how someone else approaches them.
Support helps when:
- A tutor or guide shows how to spot patterns in a question, not just solve for the answer
- Pupils hear different ideas and methods, so they feel less stuck in one way of thinking
- They’re encouraged, not rushed, which makes them less afraid to try and get it wrong
With space to practise slowly and steady help when things feel confusing, sideways thinking becomes less scary and more normal. Teachers or tutors can ask gentle questions like, “What else could this hint mean?” or “Is there a pattern we didn’t notice?” This helps pupils see that being flexible is not only allowed, but celebrated. Watching how others handle difficult puzzles also gives pupils more confidence to try again on their own, knowing there’s more than one way to reach an answer.
Pupils who regularly practise discussing their thoughts aloud, or writing down their steps, start to see patterns and strategies they missed before. This is especially useful for those who get easily frustrated or are tempted to give up at the first hurdle. Encouragement and guided questions are often what help pupils bridge the gap between feeling stuck and finding a new approach.
Puzzles Teach More Than Just Answers
UKMT competitions might feel tough at first, but they’re packed with chances to grow thinking skills that last far beyond the test. The puzzles reward clear thought, flexible ideas, and the patience to look again when things don’t click straight away. Through regular exposure to new and unfamiliar problems, pupils begin to realise that learning can be about the journey toward a solution, not just getting the solution itself.
Over time, pupils who approach these challenges learn to:
- Trust their thinking process, even if they don’t get the answer right away
- Ask smart questions when stuck
- Stay interested in what happens when the answer isn’t obvious yet
These are skills that help not only in examinations but in almost every area of life. Instead of giving up straight away or panicking when things seem odd, pupils develop a habit of calm, careful problem-solving. They become the type of learners who are ready to try, reflect, and improve. The benefit of this way of learning shows in later school years too, with pupils feeling more at ease with complex topics in science, reasoning tasks, and other real-world situations that require a “let’s try and see” mindset.
As pupils develop these habits, they often become more independent learners. They learn to break down larger problems into smaller parts and deal with confusion step by step. Teachers and parents might notice that pupils who practise with UKMT questions are more likely to tackle homework or new lessons with confidence, rather than being put off if something feels too hard. In the end, the effects of practising with challenging puzzles go much further than the competition day itself.
Prepare your child for success in UKMT competitions with the expert guidance offered by Learnfluid. Our personalized one-on-one support fosters the development of flexible thinking and problem-solving skills that are crucial for navigating complex puzzles. With our dedicated approach, your child will gain the confidence to tackle any challenge with a calm and creative mindset. Connect with us today to empower your child’s journey to success.