Senior Citizen Homestead Exemption. This file provides essential details about the senior property tax homestead exemption.It outlines eligibility criteria and application instructions. I'm going to show you how to apply for the homeowner exemption online with the cook county assessor's office. You may file up to 4 exemptions. Each year applicants must file Form PTAX-340, Senior Citizens Assessment Freeze Homestead Exemption Application and. See General Information. This file provides essential details about the senior property tax homestead exemption. It outlines eligibility criteria and application instructions. Who qualifies for a Senior Freeze Exemption?