<p>Here's how my Cambridge Engineering interview went, questions and all, including the two problems that genuinely made me sweat. If you're applying for Engineering, the format can feel intimidating from the outside, so I want to show you what it's actually testing, which is much less about knowing clever tricks and much more about reasoning calmly from what you already understand.</p><p><strong>Two interviews and a thinking test</strong></p><p>I had two interviews plus a ninety-minute critical thinking test on the side. The interviews were where it really counted, and both leaned heavily on working through problems out loud rather than reciting anything I'd learned. Nobody expected me to produce polished answers instantly. They wanted to see how I got there.</p><p><strong>The puzzle that made me stop and stare</strong></p><p>One question was a lovely little mechanics puzzle: a box on wheels sitting on an inclined slope, with a rope attached at the bottom. If you pull the rope, which way does the box go? The intuitive guess is that it slides down, or stays put, but the surprising answer is that it can move up the incline. The point isn't to know that, it's to reason your way to it.</p><p><strong>Working the cart problem</strong></p><p>The way through is to draw it and label every force acting on the box, its weight, the normal reaction from the slope, the tension in the rope, and to think carefully about the geometry of how the wheels and the rope interact as you pull. I didn't get it cleanly on the first attempt. I talked through the forces slowly, the interviewer nudged me when I went astray, and gradually the picture came together. That process, methodical, spoken aloud, responsive to hints, is exactly what they're grading, far more than a quick lucky guess would have been.</p><p><strong>Deriving SHM from scratch</strong></p><p>The other big question asked me to derive simple harmonic motion from first principles, using a ball on an elastic rope under gravity. You're not meant to have it memorised. You're meant to build it: set up the forces, find the restoring force that's proportional to displacement, and show why that produces oscillation. Constructing it step by step from A-level physics, rather than pulling a formula out of the air, is the whole test, and it's genuinely satisfying when it falls into place in front of you.</p><p><strong>A question from my personal statement</strong></p><p>They also picked up something I'd written about, a false assumption Galileo made when describing how force and load share across the cross-section of a cantilever beam, which I'd read in Henry Petroski's Invention by Design. I was glad I actually understood it rather than just name-dropping it. The lesson is worth repeating: everything on your personal statement is fair game, so only include things you can defend under real questioning.</p><p><strong>What the interviewers are looking for</strong></p><p>Reflecting on both rooms, the qualities that earned marks were clear:</p><ol><li>reasoning out loud so they can follow your thinking</li><li>building an answer from foundations rather than recalling a result</li><li>staying calm and using hints when you get stuck</li><li>a genuine willingness to be wrong on the way to being right</li></ol><p><strong>How I prepared</strong></p><p>I spent about a fifth of my overall study time on Oxbridge preparation, and I worked through roughly ten years of past interview questions from several colleges, which got me used to the style and stopped the format being a shock. Honestly, though, what got me through on the day wasn't cleverness. It was staying calm and reasoning aloud from A-level foundations. I only decided to apply after my first AS term, when a couple of teachers encouraged me to give it a go.</p><p><strong>Common mistakes to avoid</strong></p><p>The errors I'd warn against are guessing an answer and then trying to justify it backwards, going silent when a problem looks unfamiliar, and refusing the interviewer's hints out of pride. None of those show the thing they're actually assessing, which is how you think when you don't already know.</p><p><strong>Final thoughts</strong></p><p>Engineering interviews reward calm, out-loud reasoning from what you already know, so practise building answers step by step rather than reaching for a memorised result. If you'd like to work through past questions together, Oxbridge Solution can help.</p>