04 Try it yourself Interactive

Three shapes, one console

The first control picks the shape. Shape 1 takes a score, a shortfall and a pass percentage. Shape 2 takes two percentages and a shortfall in marks. Shape 3 takes two pass rates and the overlap, and applies inclusion-exclusion. Switch between them on comparable numbers to see how differently each reads.

Needs 40%, scored 220, failed by 20
pass mark 240 · max 600
In shape 3 the three inputs are read as percentages passing the first subject, the second, and both — and the overlap can never exceed either individual rate.
Press Next to work through it one step at a time.
Key figure
Percentage
Result
Answer
step 0 / 0