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Why You Understand Physics but Can't Solve Numericals

Understanding a lesson and solving a new problem are two different skills. Lectures train recognition ("yes, that makes sense"); exams demand recall and decision ("which formula, and why?"). The gap closes with a method and deliberate practice, not with more lectures.

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Why it happens

When a teacher solves a problem, the hard part - choosing the approach - is done for you. You only watch the steps, so it feels easy. In the exam, nobody picks the approach for you, and you never practised that step.

Other common causes: reading the question too fast, not writing the given values, mixing units, and jumping to a formula you half remember.

The 5-step method for any numerical

  1. Name the concept. Ask: what is this question really about - motion, forces, energy, a circuit? Write the topic in one line.
  2. List what is given and what is asked. Write every value with its unit, and draw a quick diagram.
  3. Choose the relation. Match the given and asked quantities to a formula. If two formulas fit, ask which one uses only the known values.
  4. Solve symbolically first. Rearrange the formula for the unknown, then substitute numbers at the end. This avoids arithmetic slips.
  5. Check. Are the units right? Is the size sensible? Does the sign make sense?

How to practise so it actually sticks

Attempt a question for 5-10 minutes before looking at hints. Struggling is the useful part. If you are stuck, look only at the first step, then try again. Only then read the full solution.

After each wrong answer, write down why you were wrong: wrong formula, wrong unit, wrong sign, or misread question. After a week, you will see your own pattern and know what to fix.

Practise each chapter in sets of mixed difficulty: easy to warm up, medium to build, hard to stretch. Solve fewer questions more carefully rather than many questions carelessly.

Where to start: chapters that train problem-solving

Begin with chapters where the method is easiest to see, then move on. Mechanics teaches the habit of drawing diagrams and listing knowns, and the rest of Physics reuses it.

Frequently Asked Questions

Why do I understand the lecture but fail in numericals?
In a lecture the teacher chooses the approach for you. In a question you must choose it yourself, and that skill only comes from practising it - attempting problems before looking at hints.
How many numericals should I solve per chapter?
Quality beats quantity. A set of mixed easy, medium and hard questions, with every mistake reviewed, builds more skill than many rushed questions.
Should I memorise formulas first?
Know the main formulas, but learn when each applies. Writing the given and asked values makes the right formula much easier to spot.
What should I do when I get stuck?
Spend a few minutes trying, then look only at the first step of the solution and try again. Read the full solution last, and note why you were stuck.