The BFG collects the dreams he needs from his shelves and mixes them with an eggbeater, creating a "sea-green froth" (128). The parts that the BFG doesn't need in his dream float away. Sophie hates the dream that they have made, because it is scarlet-red and very angry - a nightmare. They are giving the Queen a nightmare so that she can save people from being eaten. Sophie refuses to stay near the dream, which is in the giant's pocket, and instead sits in his ear.
The BFG and Sophie set out for London. On their journey, they see the other nine giants racing to their feast. The BFG gets confused when he and Sophie land in Hyde Park, thinking that it is still the countryside. However, Sophie explains that this is just across the street from the Queen's palace and the BFG jumps into the Queen's back garden.
The BFG is impressed by how many bedrooms the Queen's palace has and begins swiveling his ears about to try to hear her. Sophie hangs on for dear life since she is afraid of falling out. The BFG finds the Queen's bedroom and blows the dream to her, leaving Sophie on the windowsill as they agreed.
Sophie sits on the windowsill for awhile, marveling at being so close to the Queen. The Queen has the nightmare and yells for her maid Mary. Mary comes in with breakfast but drops it when she sees Sophie on the windowsill. The maid pulls the curtains back, exposing Sophie. The Queen is shocked and silent, but believes that Sophie is the girl from her dream and welcomes her into the palace.
Sophie explains how she got there and that the BFG is a good giant. The Queen worries that she might be going crazy, but agrees that Sophie should call the BFG over. The BFG walks over and the gardener faints when he sees him. The Queen invites both Sophie and the BFG to breakfast.
The palace staff scramble to accommodate the new guests, building a special table out of grandfather clocks, drawers, a ping pong table, and a piano for BFG. The Queen lends Sophie some clothes and a sapphire brooch. The BFG crashes into a crystal chandelier when he enters the Queen's palace and loves his new table. The BFG loves the new food and eats it in "one titchy little bite" before asking for more please (170).
The BFG also introduces the Queen to frobscottle, despite Sophie's protests, and the Queen is shocked but amused. The BFG eats so much that there are no more eggs, but the Queen simply commands the hens to lay more. She then telephones the King of Sweden to discuss his missing subjects in order to make sure that the BFG is telling the truth. He is. She also speaks with the Sultan of Baghdad who confirms what the BFG was saying. The Queen summons the Head of the Army and the Head of the Air Force.
This section of the book builds on the idea that outsiders, such as the BFG and Sophie, may know better than insiders, like the Heads of the Army and the Airforce, who just want to kill the giants, instead of bringing them back for all to see.
The BFG reveals himself to be very conniving, as does Sophie. Together, they concoct a great plan to convince the Queen that they are trustworthy and need her help. They are both also very persuasive.
The Queen graciously agrees and accepts Sophie and the BFG's story. She helps their cause in order to save people around the world. This section also introduces the readers to the Queen's maid, Mary, and the Queen's butler, Mr. Tibbs.
One of the great comedic moments of this story comes when Mr. Tibbs realizes he has to serve breakfast for a giant. He is a quick thinker who is also ingenious at taking human furniture and pieces and making them fit for a giant's use.
The Queen reveals herself to be very smart and perceptive. She makes sure to double check the stories of the giant and Sophie, showing that she can be helpful but also distrustful.