Problem: Antarctica has no indigenous population and there is no evidence that it was seen by humans until the 19th century. However, belief in the existence of a Terra Australisa vast continent in the far south of the globe to "balance" the northern lands of Europe, Asia and North Africahad existed since the times of Ptolemy (1st century AD), who suggested the idea to preserve the symmetry of all known landmasses in the world. Even in the late 17th century, after explorers had found that South America and Australia were not part of the fabled "Antarctica", geographers believed that the continent was much larger than its actual size.
What did Ptolemy suggest that a southern land mass would do to preserve?
The answer is the following: symmetry

Problem: Qing China reached its largest extent during the 18th century, when it ruled China proper (eighteen provinces) as well as the areas of present-day Northeast China, Inner Mongolia, Outer Mongolia, Xinjiang and Tibet, at approximately 13 million km2 in size. There were originally 18 provinces, all of which in China proper, but later this number was increased to 22, with Manchuria and Xinjiang being divided or turned into provinces. Taiwan, originally part of Fujian province, became a province of its own in the late 19th century, but was ceded to the Empire of Japan in 1895 following the First Sino-Japanese War. In addition, many surrounding countries, such as Korea (Joseon dynasty), Vietnam frequently paid tribute to China during much of this period. Khanate of Kokand were forced to submit as protectorate and pay tribute to the Qing dynasty in China between 1774 and 1798.
How many kilometers was Qing China at its height?
The answer is the following: 13 million km2

Problem: All vertebrate brains share a common underlying form, which appears most clearly during early stages of embryonic development. In its earliest form, the brain appears as three swellings at the front end of the neural tube; these swellings eventually become the forebrain, midbrain, and hindbrain (the prosencephalon, mesencephalon, and rhombencephalon, respectively). At the earliest stages of brain development, the three areas are roughly equal in size. In many classes of vertebrates, such as fish and amphibians, the three parts remain similar in size in the adult, but in mammals the forebrain becomes much larger than the other parts, and the midbrain becomes very small.
The hindbrain during development is known as what?
The answer is the following: rhombencephalon

Problem: Victoria's self-imposed isolation from the public diminished the popularity of the monarchy, and encouraged the growth of the republican movement. She did undertake her official government duties, yet chose to remain secluded in her royal residencesWindsor Castle, Osborne House, and the private estate in Scotland that she and Albert had acquired in 1847, Balmoral Castle. In March 1864, a protester stuck a notice on the railings of Buckingham Palace that announced "these commanding premises to be let or sold in consequence of the late occupant's declining business". Her uncle Leopold wrote to her advising her to appear in public. She agreed to visit the gardens of the Royal Horticultural Society at Kensington and take a drive through London in an open carriage.
What private estate did Victoria aquire with Albert in 1847?
The answer is the following:
Balmoral Castle