We introduce TestCase-Eval, a new benchmark for systematic evaluation of LLMsin test-case generation. TestCase-Eval includes 500 algorithm problems and100,000 human-crafted solutions from the Codeforces platform. It focuses on twopivotal tasks: (1) Fault Coverage, which measures how well LLM-generated testsets probe diverse input scenarios and cover a wide range of potential failuremodes. (2) Fault Exposure, which evaluates whether LLMs can craft a tailoredtest input that reveals a specific incorrect code implementation. We provide acomprehensive assessment of 19 state-of-the-art open-source and proprietaryLLMs on TestCase-Eval, offering insights into their strengths and limitationsin generating effective test cases for algorithm problems.