Second half score

Boarwarts Academy played their annual match against Range Hill School. What fraction of the points were scored in the second half?
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Problem



In the first half of their match against Range Hill School, Boarwarts Academy scored all of the points.

In the second half, each side scored three points.

At the end of the match, Boarwarts Academy had scored $90\%$ of the points.

What fraction of the points were scored in the second half?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.