Hasmonean achieved the top score for any Jewish school on both reading (111) and maths (110); Menorah took the crown for GPS (113).
North West London Jewish Day School in Brent and Beit Shvidler Primary School in Edgware tied in 431st place.
Beit Shvidler achieved the same as Hasmonean on both its reading and maths scores.
Four other Jewish schools found themselves in the top 1,000 primary schools in the country.
These were Eden Primary School in Muswell Hill (531st), Rosh Pinah Primary School in Edgware (784th), Shalom Noam Primary School in Edgware (824th), and Akiva School in Finchley (975th).
Jewish institutions also performed well in the secondary school rankings – notably, JFS was the top non-selective comprehensive school in the whole of England and Wales.