"To assess these competencies" means to evaluate or measure someone's skills or abilities in order to understand how well they can perform a certain task or job. Full definition
A career profile tool for assessing competencies, business experience, and credentials. (hbr.org)
Always be precise and direct to the point for the hiring personnel to have an easier time in assessing your competencies and what you can provide to the company. (template.net)
For universities, it a most reliable source to assess the competency level of the student. (rospher.com)