Oxford University is older than the Aztec Empire. Teaching at Oxford began around 1096, while the Aztecs didn't found Tenochtitlan until 1325. Oxford was already about 230 years old when the Aztec capital was built.
The Eiffel Tower can grow by up to about 15 cm (6 inches) in summer. Iron expands in heat, so the metal lengthens on hot days, and the tower's height shifts with the temperature.
Cleopatra lived closer in time to the Moon landing than to the building of the Great Pyramid of Giza. The pyramid went up around 2560 BCE, about 2,500 years before Cleopatra was born in 69 BCE. The Moon landing came roughly 2,000 years after her death.