Currently, most convolutional networks use standard convolution for feature extraction to pursue accuracy. However, there is potential room for improvement in terms of the number of network parameters and model speed. Therefore, this paper proposes a lightweight multi-scale quadratic separable convolution module (Mqscm). First, the module uses a multi-branch topology to maintain the sparsity of the network architecture. Second, channel separation and spatial separation methods are used to separate the convolution kernels, reduce information redundancy within the network, and improve the utilization of hardware computing resources. In the end, the module uses a variety of convolution kernels to obtain information on different scales to ensure the performance of the network. The performance comparison on three image-classification datasets shows that, compared with standard convolution, the Mqscm module reduces computational effort by approximately 44.5% and the model training speed improves by a range of 14.93% to 35.41%, maintaining performance levels comparable to those of deep convolution. In addition, compared with ResNet-50, the pure convolution network MqscmNet reduces the parameters by about 59.5%, saves the training time by about 29.7%, and improves the accuracy by 0.59%. Experimental results show that the Mqscm module reduces the memory burden of the model, improves efficiency, and has good performance.