Writing Practice Problems for Self-Study

Why Write Your Own Problems

Creating practice problems requires a deeper understanding than solving them. You must identify what concepts to test, construct a solvable scenario, calculate the correct answer, and anticipate plausible wrong answers. This process reveals gaps in your understanding that passive studying misses. It also develops the ability to recognize problem structures, which helps on exam day when you need to quickly identify which technique to apply.

How to Write Good Problems

Start by modifying existing problems: change the numbers, add a twist, or combine elements from two different problems. Progress to creating original scenarios based on real-world situations. Write problems at the difficulty level you want to practice, not just easy ones. Include your solution and explain the reasoning behind each step. Exchange problems with study partners for mutual benefit. Even writing five original problems per topic forces a level of engagement that solving 20 existing problems may not achieve, making it a high-value study activity.