Sometimes, the hardest part of solving a maths problem is just getting started. That moment when you first look at a UKMT question and feel stuck can be frustrating. You’ve probably practised loads, but the first step just won’t come. You’re not alone, and it doesn’t mean you’re not good at this.
UKMT competitions are made to stretch how you think, not just test what you know. So it’s completely normal to pause when you’re not sure what to do first. The good news is there are small things you can try to help your brain click into gear. This post walks through simple, helpful habits that can make those early steps feel less stressful and more doable.
Give Yourself Permission to Pause
It might sound odd, but stopping without giving up is one of the most useful things you can do. When something feels confusing, the temptation is to either stare at the problem for ages or quickly guess and move on. But pausing with purpose can reset your brain.
Try reading the question again slowly. Notice one or two parts you didn’t pick up the first time. Jot down anything you do know, even if it feels simple. You might write:
- Key facts or numbers from the question
- What the question is asking for
- Any patterns or ideas that come to mind
Sometimes, setting your pencil on the page, even if just to underline a word, is enough to get things moving. Giving yourself permission to slow down helps settle your nerves and sends the message to your brain that you are in control of how you approach the question. Even if the answer doesn’t come to you right away, just relaxing and taking one slow breath can help you notice something you missed before. It’s all about creating enough space to reset your thinking.
Break the Question into Smaller Pieces
All maths questions are made up of parts, but when you’re nervous or rushing, it’s easy to see them as one big, messy block. Instead of trying to solve the whole thing at once, break it into smaller steps.
Start by asking yourself one simple question: What does this part mean? Maybe underline a phrase that sounds important. Highlight numbers, look at the units, or pick out anything that stands out on the page.
- Focus on one part at a time
- Don’t worry about solving it yet, just choose a clue to notice
- Turn that clue into a small action like writing an equation or drawing a line
Once you’ve done that, you’re already moving. Even if it feels tiny, progress adds up quickly when your brain starts connecting the dots. Think of a big question as a jigsaw puzzle. You’re not expected to click all the pieces together right away. The more you practise singling out even one part of a tricky question, a word, a number, or a hint, the sooner you’ll build the confidence to move forward. Breaking big challenges into bite-size pieces makes starting feel less scary.
Think About What Area of Maths This Feels Like
Not sure where to begin? Try asking yourself, “What topic does this remind me of?” Even just spotting the topic can help you choose a starting method. Is it geometry? Does it look like algebra? Are there number patterns?
In UKMT competitions, questions often mix ideas from two or three areas, which is why they feel tricky. But even a small clue about the topic can direct where your next move should go. For example:
- A shape with numbers might connect geometry and arithmetic
- Letters often suggest algebra, even if no equation is written
- A list of prices or values could hint at ratios or percentages
Pick one method you know from that topic. Give it a go without worrying if it’s perfect. A rough start is almost always better than sitting frozen. Knowing where to look is sometimes as useful as knowing exactly what to do. By practising connecting questions to topics, you build a mental guide that you can use to get moving, even if you feel stuck. Sometimes, just deciding to work as if it’s a geometry problem is enough to begin.
Use What You Already Know
When questions look unfamiliar, it’s easy to forget that you have lots of useful knowledge already. Think back to similar problems you’ve worked on. Even if the problem feels different, the method might not be.
Get into the habit of asking, “What does this remind me of?” Then, use that to try something small:
- Try numbers you’ve seen work before, like 1 or 10
- Recall a formula that sometimes fits shape or speed questions
- Pick a step you’ve practised recently, like finding a common factor
Using small bits of what’s familiar helps your confidence too. Even if it doesn’t give the answer right away, it gives you ideas for what might come next. You might notice that you have seen a trick somewhere in a previous lesson, or maybe you once practised handling a similar set of numbers. Using your memory in this way gives you a new starting point, even if it isn’t exactly where you thought you’d begin. Each familiar idea puts your mind back in problem-solving mode.
Jump into Rough Working Without Waiting for the Perfect Approach
Perfection isn’t what gets you going. Action does. So if your brain is cycling through options but not settling on one, start with rough working.
This could be:
- Drawing the setup, even if you’re unsure exactly how to solve it
- Writing any numbers or facts on a separate space
- Testing out a method just to see if it leads anywhere
Mistakes don’t matter at this point. What matters is letting your pencil lead you into problem-solving mode. A half-finished diagram or equation is better than nothing on the page. Often, it’s what helps you realise what the question is really about. Starting something can lead to an idea that gets you closer to the answer, or at the very least, takes away some of the “stuck” feeling. Instead of waiting for the perfect way to begin, allow yourself to scribble or sketch thoughts. You’ll discover that it’s easier to fix and build upon something that’s already there, even if it started as a guess.
Making the Start Feel Less Scary Next Time
Getting stuck doesn’t mean you failed. It means the question is doing what it’s supposed to. The more we remind ourselves this is part of the challenge, the less stressed we feel next time it happens.
The habits we build now, pausing, breaking things down, spotting clues, make it easier to handle that moment when the question first hits the page. The best way to grow more confident is to practise noticing the first clue that might get things moving.
With time, your brain will learn to expect these puzzles, even welcome them. You’ll still be challenged, but that frozen feeling won’t last as long. You’ll know where to look and which way to begin. That’s what makes the difference in UKMT competitions. Feeling better about starting doesn’t happen all at once. By repeating these habits, pausing, looking for what’s familiar, rough working, each new question feels a little less daunting. Trust that every time you try, your brain gets a bit better at beginning, and you’ll be quicker to spot that helpful clue next time.
Ready to overcome those initial hurdles in math challenges? At Learnfluid, we specialize in providing customized guidance for navigating UKMT competitions. Our expert tutors empower students to pinpoint initial clues, setting them on the path to success. Get in touch with us today and discover how our support can make tackling those first steps feel more manageable and confidence-boosting.