The tests are the same for both primary and secondaryschool teacher trainees, who must also have achieved a grade C or above in GCSE maths and English.
In Colombia, for example, while most young people from rich households make it to lower secondaryschool, only around half from poor households get the same chance.
The timing of the row was suspicious: Mr Balls made the allegations at the same time as his department published figures showing that a fifth of youngsters transferring to secondaryschool had missed out on their first choice.