The study investigated self-reliant skills in sciences and home economics undergraduate programmes and relevance to Nigeria world of work needs. The study adopted survey research design. The study population comprised of Science and Home-Economics undergraduates and graduates of tertiary institutions in Lagos State. A total of twenty Science and Home Economics respondents from the tertiary institutions located in Lagos state in three randomly selected tertiary institutions in the state, While samples of forty working graduates from Lagos state were randomly selected from civil service, secondary schools, five stars hotels and self-employed graduates constituted the sample for the study. Two instruments were used to collect data for the study. The first instrument is Undergraduate Questionnaire (UQ) and. The second instrument is Graduate Questionnaire (GQ). The data collected were analysed using t-test and Chi square). The findings indicated that the tc = 2.82 > tt =1.66 at df = 2 significant, Therefore there was no significant relationship i.e. the students preferred applied science courses Hence the hypothesis was rejected. The second hypothesis results indicated that the X²Cal=17.82> X²Tab =7.82 at df=3, This  revealed that science graduates are not likely to secure government jobs even if they study education while Home Economics graduates utilized  the skills  acquired  to be employer of labour, hence the hypothesis was rejected. Based on the findings it was recommended that tertiary institutions curriculum should be revisited to contain self-reliant contents, so that graduates of tertiary institutions are employable. Finally it was further solicited for adequate training for lecturer both locally and internationally.