First of all you should be honest about your hobbies, the worst thing you could do is make things up to make yourself look good because that could really come back to bite you. Choose the hobbies that you do that may pertain to the job, such as playing video games or writing faqs or reviews of games, and any hobbies you can spin to be relevant towards the job. If you still need more don't worry about including non-relevant hobbies that will give the employer a better understanding of what kind of person you are, any volunteer work looks good there (not court required community service).
yes you should include an interests category but don't make it you know a 2 page section just 1-5 interests per say.
You don't write a summary on a resume. You do start the resume with a statement of your qualifications, education, and interests. Then, you list education, credentials, job history, awards, research/books written/published, interests.
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education
Yes, a relevant class project should go on your resume. It can go in the Education section, or in its own section, or under Experience. Whichever you are most comfortable with.
a resume
You can mention it in two places. At the beginning of the resume where you mention the highlights, and/or in the "professional certification" section.
The short answer is skills, interests, and experience. The details of how to make those stand out on a resume is long with many opinions. The following are several links with opinions on how to make your resume stand out.
It is common practice to list the objective section of a resume right after your name and contact information. Failure to do so may confuse potential employers.
You should include honor societies on your resume under the "Education" section or in a separate "Honors and Awards" section. This can help showcase your academic achievements and involvement in extracurricular activities.
You should include Phi Beta Kappa under the "Honors and Awards" section of your resume.
Cover letter is a document that accompanies your resume and tells about your personal interests in working for specific company. It underlines your matching skills and experience, and is usually more personal than a resume. Resume is a document that describes your professional skills, education and employment history in details.