Exactly what 22B says. The way to practise a technique, and reinforce a concept, is to use it in non-routine contexts. Sometimes routine contexts make good warmups, but most children here probably get way too many of them.
Here's a cute problem you can solve using a quadratic. Incidentally, if anyone can solve it without a quadratic, let me know! I saw it elseweb, and the discussion there gave circumstantial evidence that it should be possible,but noone found how. It feels like the kind of problem that might be trivial if you look at it right.
A column of vehicles 10km long drives 24km in a straight line at a constant speed and then stops. A police car starts from the back of the column and drives to the front, turms around and drives back again. It arrives at the back of the column at the instant the column of vehicles stops. Assuming the police car travels at a constant speed and turns around instantly how far has the police car travelled?
