The Primary department is made up of classes 1-6, with classes 1-4 in one campus and classes 5-6 in the new campus. Pupils in the primary are taught using a hybrid curriculum (the GES curriculum fused with the British Pre – IGCSE). The Primary department has its own library catering for the needs of the pupils and helping them develop the habit of reading. It also has its own computer lab where the pupils are trained to use computers at a very early age.

The genesis of the vision dates back to the year 1990. The school began at a site near Madina Social Welfare with an enrolment of only 16 pupils. The years 1991 and 1992 saw the establishment of the second and third branches which were located at Ashaley Botwe, 3rd gate down and at Ogbojo respectively. The development of the second and third branches, resulted in the merging of the Social Welfare branch with the branch at Ogbojo. A few years later, the 3rd gate branch was relocated to a much larger site, now called the St Peter's Archimedes branch. Our 32 pioneers, who sat for our maiden Basic Education Certificate Examination (BECE) in 1996, came out with numerous distinctions which placed the school in the number one (1) position in the Ga District. Since then, the school has covered much ground academically and has worked assiduously to improve its status. With this progress, the SHS was established in 2003. The St. Peter's flame that was ignited in the terrain of the Ghanaian education system with a small flicker has now glowed into a powerful and resilient blaze, serving as a centre of academic excellence in the country.