For the fourth year running, eight primaries took part in the event, which used a new high-definition system to bring children together even though they were spread across the city.
Organised by Leeds Learning Network - which provides internet and email services for the city's schools - the quiz was designed to highlight how ICT can add to learning in schools and continue education outside the classroom.
Councillor Richard Harker, executive board member for learning at Leeds council, said: "The video conference quiz was a great experience for everyone who took part. The children I spoke to enjoyed every minute of it and it's an excellent way to show how ICT can help make learning fun.
"It brought all the schools that took part together and I'd like to congratulate everyone who took part."
Chris Edwards, Education Leeds chief executive, said: "Video conferencing is normally associated with long-distance business meetings, but this innovative and imaginative use by the Leeds Learning Network has opened it to new and exciting educational uses.
"All of the children involved did brilliantly and learnt how important technology is to learning and communicating with each other. Well done to St Philip's Primary School, which won first prize and took part in an exciting virtual mission with the National Space Centre."