Colonel Proudfoot of Proudfoot Industries tries to entice a couple of newly qualified dentists to advertise "Dreem", a revolutionary type of toothpaste, but he knows that if the dentists learn that they are part of an advertising campaign, they will be struck off, and the campaign will be a disaster.

In order to boost circulation of his newspaper, Lord Rawnsley announces an air race and offers £10,000 to the first person who can fly across the English Channel. But one of the participants, Percy, plots to sabotage his competitor's planes. Will Percy triumph?

Hallie Parker and Annie James are identical twins separated at a young age because of their parents' divorce. Unknowingly to their parents, the girls are sent to the same summer camp where they meet, discover the truth about themselves, and then plot with each other to switch places.