We experimentally test a few state-dependent uncertainty relations for the product as well as the sum of variances of two incompatible observables for photonic qutrits. These uncertainty relations are independent of any optimization and still tighter than the Robertson-Schrodinger uncertainty relation and other ones existing in the current literatures. We also test the state-dependent reverse uncertainty relations for the sum of variances of two incompatible observables, which implies an another unique feature of quantum mechanics. Our experimental results not only foster insight into a fundamental limitation of measurements but also contribute to the study an upper time limit of quantum evolutions.